1548147965.005 * [misc]progress: [Phase 1 of 3] Setting up. 1548147965.005 * * * [misc]progress: [1/2] Preparing points 1548147965.205 * * * [misc]progress: [2/2] Setting up program. 1548147965.212 * [misc]progress: [Phase 2 of 3] Improving. 1548147965.212 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1548147965.212 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1548147965.212 * * [misc]simplify: iters left: 6 (13 enodes) 1548147965.217 * * [misc]simplify: iters left: 5 (28 enodes) 1548147965.223 * * [misc]simplify: iters left: 4 (44 enodes) 1548147965.229 * * [misc]simplify: iters left: 3 (54 enodes) 1548147965.235 * * [misc]simplify: iters left: 2 (57 enodes) 1548147965.241 * * [misc]simplify: iters left: 1 (65 enodes) 1548147965.248 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1548147965.248 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1548147965.256 * * [misc]progress: iteration 1 / 4 1548147965.256 * * * [misc]progress: picking best candidate 1548147965.267 * * * * [misc]pick: Picked # 1548147965.267 * * * [misc]progress: localizing error 1548147965.298 * * * [misc]progress: generating rewritten candidates 1548147965.298 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1548147965.300 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1548147965.301 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1548147965.308 * * * [misc]progress: generating series expansions 1548147965.308 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1548147965.308 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1548147965.308 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1548147965.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1548147965.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1548147965.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1548147965.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147965.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.308 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147965.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.308 * [misc]taylor: Taking taylor expansion of k in k 1548147965.309 * [misc]backup-simplify: Simplify 0 into 0 1548147965.309 * [misc]backup-simplify: Simplify 1 into 1 1548147965.309 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1548147965.309 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1548147965.309 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.309 * [misc]backup-simplify: Simplify 2 into 2 1548147965.309 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1548147965.309 * [misc]taylor: Taking taylor expansion of n in k 1548147965.309 * [misc]backup-simplify: Simplify n into n 1548147965.309 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.309 * [misc]backup-simplify: Simplify PI into PI 1548147965.309 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1548147965.309 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1548147965.309 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1548147965.309 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147965.310 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.310 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.310 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1548147965.310 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1548147965.310 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.310 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.310 * [misc]taylor: Taking taylor expansion of k in n 1548147965.310 * [misc]backup-simplify: Simplify k into k 1548147965.310 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.310 * [misc]backup-simplify: Simplify 2 into 2 1548147965.310 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147965.310 * [misc]taylor: Taking taylor expansion of n in n 1548147965.310 * [misc]backup-simplify: Simplify 0 into 0 1548147965.310 * [misc]backup-simplify: Simplify 1 into 1 1548147965.311 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.311 * [misc]backup-simplify: Simplify PI into PI 1548147965.311 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147965.311 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147965.312 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147965.312 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548147965.313 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.313 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147965.313 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147965.313 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147965.313 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.314 * [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)))) 1548147965.314 * [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))))) 1548147965.314 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.314 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.314 * [misc]taylor: Taking taylor expansion of k in n 1548147965.314 * [misc]backup-simplify: Simplify k into k 1548147965.314 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.314 * [misc]backup-simplify: Simplify 2 into 2 1548147965.314 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147965.314 * [misc]taylor: Taking taylor expansion of n in n 1548147965.314 * [misc]backup-simplify: Simplify 0 into 0 1548147965.314 * [misc]backup-simplify: Simplify 1 into 1 1548147965.314 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.314 * [misc]backup-simplify: Simplify PI into PI 1548147965.315 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147965.315 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147965.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147965.315 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548147965.316 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.316 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147965.316 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147965.316 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147965.316 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.317 * [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)))) 1548147965.317 * [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))))) 1548147965.317 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.317 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.317 * [misc]taylor: Taking taylor expansion of k in k 1548147965.317 * [misc]backup-simplify: Simplify 0 into 0 1548147965.317 * [misc]backup-simplify: Simplify 1 into 1 1548147965.317 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of n in k 1548147965.317 * [misc]backup-simplify: Simplify n into n 1548147965.317 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147965.317 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548147965.317 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.317 * [misc]backup-simplify: Simplify 2 into 2 1548147965.318 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.318 * [misc]backup-simplify: Simplify PI into PI 1548147965.318 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.318 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.318 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147965.318 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.318 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.319 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.319 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1548147965.319 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1548147965.320 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1548147965.320 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548147965.321 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1548147965.323 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548147965.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548147965.323 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.324 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.324 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1548147965.325 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147965.325 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.325 * [misc]backup-simplify: Simplify 0 into 0 1548147965.325 * [misc]backup-simplify: Simplify 0 into 0 1548147965.326 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548147965.326 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548147965.328 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548147965.328 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.329 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147965.329 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147965.329 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147965.329 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1548147965.330 * [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))))))) 1548147965.331 * [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))))))) 1548147965.332 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.333 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1548147965.336 * [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 1548147965.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548147965.336 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.337 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.337 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548147965.339 * [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 1548147965.339 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.339 * [misc]backup-simplify: Simplify 0 into 0 1548147965.339 * [misc]backup-simplify: Simplify 0 into 0 1548147965.339 * [misc]backup-simplify: Simplify 0 into 0 1548147965.340 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548147965.341 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.346 * [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 1548147965.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.346 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147965.346 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.347 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548147965.350 * [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))))) 1548147965.352 * [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))))) 1548147965.357 * [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))))) 1548147965.358 * [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)))) 1548147965.358 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548147965.358 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.358 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.358 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of k in k 1548147965.358 * [misc]backup-simplify: Simplify 0 into 0 1548147965.358 * [misc]backup-simplify: Simplify 1 into 1 1548147965.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.358 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.358 * [misc]backup-simplify: Simplify 2 into 2 1548147965.358 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548147965.358 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.358 * [misc]backup-simplify: Simplify PI into PI 1548147965.358 * [misc]taylor: Taking taylor expansion of n in k 1548147965.358 * [misc]backup-simplify: Simplify n into n 1548147965.358 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548147965.358 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1548147965.358 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1548147965.358 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.359 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147965.359 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147965.359 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1548147965.359 * [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)))) 1548147965.359 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.359 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.359 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of k in n 1548147965.359 * [misc]backup-simplify: Simplify k into k 1548147965.359 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.359 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.359 * [misc]backup-simplify: Simplify 2 into 2 1548147965.359 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.359 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.359 * [misc]backup-simplify: Simplify PI into PI 1548147965.359 * [misc]taylor: Taking taylor expansion of n in n 1548147965.359 * [misc]backup-simplify: Simplify 0 into 0 1548147965.359 * [misc]backup-simplify: Simplify 1 into 1 1548147965.360 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.360 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.360 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.360 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.360 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147965.360 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147965.361 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.361 * [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))) 1548147965.361 * [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)))) 1548147965.361 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.362 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.362 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of k in n 1548147965.362 * [misc]backup-simplify: Simplify k into k 1548147965.362 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.362 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.362 * [misc]backup-simplify: Simplify 2 into 2 1548147965.362 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.362 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.362 * [misc]backup-simplify: Simplify PI into PI 1548147965.362 * [misc]taylor: Taking taylor expansion of n in n 1548147965.362 * [misc]backup-simplify: Simplify 0 into 0 1548147965.362 * [misc]backup-simplify: Simplify 1 into 1 1548147965.362 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.362 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.363 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.363 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.363 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147965.363 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147965.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.363 * [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))) 1548147965.364 * [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)))) 1548147965.364 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.364 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.364 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of k in k 1548147965.364 * [misc]backup-simplify: Simplify 0 into 0 1548147965.364 * [misc]backup-simplify: Simplify 1 into 1 1548147965.364 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.364 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548147965.364 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.364 * [misc]backup-simplify: Simplify 2 into 2 1548147965.364 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.364 * [misc]backup-simplify: Simplify PI into PI 1548147965.365 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.365 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.365 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147965.365 * [misc]taylor: Taking taylor expansion of n in k 1548147965.365 * [misc]backup-simplify: Simplify n into n 1548147965.365 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147965.365 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.365 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147965.365 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147965.365 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147965.366 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1548147965.366 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1548147965.366 * [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)))) 1548147965.367 * [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)))) 1548147965.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548147965.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548147965.369 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548147965.370 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147965.370 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147965.370 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.370 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.371 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1548147965.372 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147965.372 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.372 * [misc]backup-simplify: Simplify 0 into 0 1548147965.372 * [misc]backup-simplify: Simplify 0 into 0 1548147965.372 * [misc]backup-simplify: Simplify 0 into 0 1548147965.373 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.381 * [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 1548147965.382 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147965.382 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.382 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.383 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1548147965.385 * [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 1548147965.385 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.385 * [misc]backup-simplify: Simplify 0 into 0 1548147965.385 * [misc]backup-simplify: Simplify 0 into 0 1548147965.385 * [misc]backup-simplify: Simplify 0 into 0 1548147965.385 * [misc]backup-simplify: Simplify 0 into 0 1548147965.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.388 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.396 * [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 1548147965.397 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147965.397 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.398 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.398 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.399 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1548147965.404 * [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 1548147965.404 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.404 * [misc]backup-simplify: Simplify 0 into 0 1548147965.404 * [misc]backup-simplify: Simplify 0 into 0 1548147965.404 * [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))))) 1548147965.405 * [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)) 1548147965.405 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548147965.405 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of k in k 1548147965.405 * [misc]backup-simplify: Simplify 0 into 0 1548147965.405 * [misc]backup-simplify: Simplify 1 into 1 1548147965.405 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.405 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1548147965.405 * [misc]taylor: Taking taylor expansion of -2 in k 1548147965.406 * [misc]backup-simplify: Simplify -2 into -2 1548147965.406 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548147965.406 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.406 * [misc]backup-simplify: Simplify PI into PI 1548147965.406 * [misc]taylor: Taking taylor expansion of n in k 1548147965.406 * [misc]backup-simplify: Simplify n into n 1548147965.406 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548147965.406 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1548147965.406 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1548147965.406 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.406 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.406 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1548147965.407 * [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))) 1548147965.407 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of k in n 1548147965.407 * [misc]backup-simplify: Simplify k into k 1548147965.407 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.407 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of -2 in n 1548147965.407 * [misc]backup-simplify: Simplify -2 into -2 1548147965.407 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.407 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.407 * [misc]backup-simplify: Simplify PI into PI 1548147965.407 * [misc]taylor: Taking taylor expansion of n in n 1548147965.407 * [misc]backup-simplify: Simplify 0 into 0 1548147965.407 * [misc]backup-simplify: Simplify 1 into 1 1548147965.408 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.408 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.408 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548147965.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.409 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147965.409 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.410 * [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))) 1548147965.410 * [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)))) 1548147965.411 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of k in n 1548147965.411 * [misc]backup-simplify: Simplify k into k 1548147965.411 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.411 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of -2 in n 1548147965.411 * [misc]backup-simplify: Simplify -2 into -2 1548147965.411 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.411 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.411 * [misc]backup-simplify: Simplify PI into PI 1548147965.411 * [misc]taylor: Taking taylor expansion of n in n 1548147965.411 * [misc]backup-simplify: Simplify 0 into 0 1548147965.411 * [misc]backup-simplify: Simplify 1 into 1 1548147965.411 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.412 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.412 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548147965.412 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.412 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147965.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.413 * [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))) 1548147965.414 * [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)))) 1548147965.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of k in k 1548147965.414 * [misc]backup-simplify: Simplify 0 into 0 1548147965.414 * [misc]backup-simplify: Simplify 1 into 1 1548147965.414 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.414 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1548147965.414 * [misc]taylor: Taking taylor expansion of -2 in k 1548147965.414 * [misc]backup-simplify: Simplify -2 into -2 1548147965.414 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.414 * [misc]backup-simplify: Simplify PI into PI 1548147965.414 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.415 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548147965.415 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147965.415 * [misc]taylor: Taking taylor expansion of n in k 1548147965.415 * [misc]backup-simplify: Simplify n into n 1548147965.415 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147965.415 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.415 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147965.415 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1548147965.416 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1548147965.416 * [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)))) 1548147965.416 * [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)))) 1548147965.417 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548147965.417 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1548147965.419 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1548147965.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147965.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147965.419 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.420 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.420 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1548147965.421 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147965.421 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.421 * [misc]backup-simplify: Simplify 0 into 0 1548147965.421 * [misc]backup-simplify: Simplify 0 into 0 1548147965.421 * [misc]backup-simplify: Simplify 0 into 0 1548147965.422 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.423 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.426 * [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 1548147965.426 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147965.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.427 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.427 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1548147965.429 * [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 1548147965.429 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.429 * [misc]backup-simplify: Simplify 0 into 0 1548147965.429 * [misc]backup-simplify: Simplify 0 into 0 1548147965.429 * [misc]backup-simplify: Simplify 0 into 0 1548147965.429 * [misc]backup-simplify: Simplify 0 into 0 1548147965.430 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.431 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.436 * [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 1548147965.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147965.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.437 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1548147965.439 * [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 1548147965.440 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.440 * [misc]backup-simplify: Simplify 0 into 0 1548147965.440 * [misc]backup-simplify: Simplify 0 into 0 1548147965.440 * [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))))) 1548147965.440 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1548147965.440 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1548147965.440 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1548147965.440 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548147965.440 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.440 * [misc]backup-simplify: Simplify 2 into 2 1548147965.440 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147965.440 * [misc]taylor: Taking taylor expansion of n in n 1548147965.440 * [misc]backup-simplify: Simplify 0 into 0 1548147965.440 * [misc]backup-simplify: Simplify 1 into 1 1548147965.440 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.440 * [misc]backup-simplify: Simplify PI into PI 1548147965.440 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548147965.440 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.440 * [misc]backup-simplify: Simplify 2 into 2 1548147965.440 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147965.440 * [misc]taylor: Taking taylor expansion of n in n 1548147965.440 * [misc]backup-simplify: Simplify 0 into 0 1548147965.440 * [misc]backup-simplify: Simplify 1 into 1 1548147965.440 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.440 * [misc]backup-simplify: Simplify PI into PI 1548147965.441 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147965.441 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147965.441 * [misc]backup-simplify: Simplify 0 into 0 1548147965.441 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147965.442 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548147965.442 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.442 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548147965.443 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1548147965.443 * [misc]backup-simplify: Simplify 0 into 0 1548147965.444 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.446 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1548147965.446 * [misc]backup-simplify: Simplify 0 into 0 1548147965.448 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548147965.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1548147965.450 * [misc]backup-simplify: Simplify 0 into 0 1548147965.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1548147965.455 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1548147965.455 * [misc]backup-simplify: Simplify 0 into 0 1548147965.459 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1548147965.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1548147965.463 * [misc]backup-simplify: Simplify 0 into 0 1548147965.468 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1548147965.472 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1548147965.472 * [misc]backup-simplify: Simplify 0 into 0 1548147965.473 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1548147965.473 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1548147965.473 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1548147965.473 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548147965.473 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.473 * [misc]backup-simplify: Simplify 2 into 2 1548147965.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.473 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.473 * [misc]backup-simplify: Simplify PI into PI 1548147965.473 * [misc]taylor: Taking taylor expansion of n in n 1548147965.473 * [misc]backup-simplify: Simplify 0 into 0 1548147965.473 * [misc]backup-simplify: Simplify 1 into 1 1548147965.473 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.473 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548147965.473 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.474 * [misc]backup-simplify: Simplify 2 into 2 1548147965.474 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.474 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.474 * [misc]backup-simplify: Simplify PI into PI 1548147965.474 * [misc]taylor: Taking taylor expansion of n in n 1548147965.474 * [misc]backup-simplify: Simplify 0 into 0 1548147965.474 * [misc]backup-simplify: Simplify 1 into 1 1548147965.474 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.474 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.474 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548147965.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548147965.476 * [misc]backup-simplify: Simplify 0 into 0 1548147965.478 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.479 * [misc]backup-simplify: Simplify 0 into 0 1548147965.481 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.482 * [misc]backup-simplify: Simplify 0 into 0 1548147965.484 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.485 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548147965.485 * [misc]backup-simplify: Simplify 0 into 0 1548147965.487 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.488 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1548147965.488 * [misc]backup-simplify: Simplify 0 into 0 1548147965.490 * [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 1548147965.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1548147965.492 * [misc]backup-simplify: Simplify 0 into 0 1548147965.492 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1548147965.492 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1548147965.492 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1548147965.492 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548147965.492 * [misc]taylor: Taking taylor expansion of -2 in n 1548147965.492 * [misc]backup-simplify: Simplify -2 into -2 1548147965.492 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.492 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.492 * [misc]backup-simplify: Simplify PI into PI 1548147965.492 * [misc]taylor: Taking taylor expansion of n in n 1548147965.492 * [misc]backup-simplify: Simplify 0 into 0 1548147965.492 * [misc]backup-simplify: Simplify 1 into 1 1548147965.492 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.492 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548147965.492 * [misc]taylor: Taking taylor expansion of -2 in n 1548147965.492 * [misc]backup-simplify: Simplify -2 into -2 1548147965.492 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.492 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.492 * [misc]backup-simplify: Simplify PI into PI 1548147965.492 * [misc]taylor: Taking taylor expansion of n in n 1548147965.492 * [misc]backup-simplify: Simplify 0 into 0 1548147965.493 * [misc]backup-simplify: Simplify 1 into 1 1548147965.493 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.493 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.493 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.494 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548147965.494 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1548147965.494 * [misc]backup-simplify: Simplify 0 into 0 1548147965.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.496 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.496 * [misc]backup-simplify: Simplify 0 into 0 1548147965.497 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.497 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.498 * [misc]backup-simplify: Simplify 0 into 0 1548147965.499 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.500 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548147965.500 * [misc]backup-simplify: Simplify 0 into 0 1548147965.501 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.503 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1548147965.503 * [misc]backup-simplify: Simplify 0 into 0 1548147965.505 * [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 1548147965.507 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1548147965.507 * [misc]backup-simplify: Simplify 0 into 0 1548147965.508 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1548147965.508 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1548147965.508 * [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)))) 1548147965.508 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1548147965.508 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1548147965.508 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147965.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.508 * [misc]taylor: Taking taylor expansion of k in k 1548147965.508 * [misc]backup-simplify: Simplify 0 into 0 1548147965.508 * [misc]backup-simplify: Simplify 1 into 1 1548147965.508 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.509 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147965.509 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147965.509 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.509 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.509 * [misc]taylor: Taking taylor expansion of k in k 1548147965.509 * [misc]backup-simplify: Simplify 0 into 0 1548147965.509 * [misc]backup-simplify: Simplify 1 into 1 1548147965.509 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.509 * [misc]backup-simplify: Simplify 2 into 2 1548147965.509 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1548147965.509 * [misc]taylor: Taking taylor expansion of n in k 1548147965.509 * [misc]backup-simplify: Simplify n into n 1548147965.509 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.509 * [misc]backup-simplify: Simplify PI into PI 1548147965.510 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1548147965.510 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1548147965.510 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1548147965.510 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147965.510 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.510 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.510 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1548147965.510 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1548147965.510 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of k in n 1548147965.510 * [misc]backup-simplify: Simplify k into k 1548147965.510 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.510 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548147965.510 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147965.510 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548147965.510 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147965.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.511 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147965.511 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.511 * [misc]taylor: Taking taylor expansion of k in n 1548147965.511 * [misc]backup-simplify: Simplify k into k 1548147965.511 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548147965.511 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548147965.511 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.511 * [misc]backup-simplify: Simplify 2 into 2 1548147965.511 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147965.511 * [misc]taylor: Taking taylor expansion of n in n 1548147965.511 * [misc]backup-simplify: Simplify 0 into 0 1548147965.511 * [misc]backup-simplify: Simplify 1 into 1 1548147965.511 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.511 * [misc]backup-simplify: Simplify PI into PI 1548147965.511 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147965.511 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147965.511 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147965.512 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548147965.512 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.512 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147965.512 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147965.512 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147965.513 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.513 * [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)))) 1548147965.513 * [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))))) 1548147965.514 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of k in n 1548147965.514 * [misc]backup-simplify: Simplify k into k 1548147965.514 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.514 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548147965.514 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147965.514 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548147965.514 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.514 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.514 * [misc]taylor: Taking taylor expansion of k in n 1548147965.514 * [misc]backup-simplify: Simplify k into k 1548147965.514 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.514 * [misc]backup-simplify: Simplify 2 into 2 1548147965.514 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147965.514 * [misc]taylor: Taking taylor expansion of n in n 1548147965.514 * [misc]backup-simplify: Simplify 0 into 0 1548147965.514 * [misc]backup-simplify: Simplify 1 into 1 1548147965.514 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.514 * [misc]backup-simplify: Simplify PI into PI 1548147965.514 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147965.514 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147965.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147965.515 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1548147965.516 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.516 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147965.516 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147965.516 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147965.516 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.517 * [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)))) 1548147965.517 * [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))))) 1548147965.517 * [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))) 1548147965.517 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1548147965.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.518 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.518 * [misc]taylor: Taking taylor expansion of k in k 1548147965.518 * [misc]backup-simplify: Simplify 0 into 0 1548147965.518 * [misc]backup-simplify: Simplify 1 into 1 1548147965.518 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of n in k 1548147965.518 * [misc]backup-simplify: Simplify n into n 1548147965.518 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147965.518 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548147965.518 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.518 * [misc]backup-simplify: Simplify 2 into 2 1548147965.518 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.518 * [misc]backup-simplify: Simplify PI into PI 1548147965.518 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.518 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.518 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147965.519 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.519 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.519 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.519 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1548147965.520 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1548147965.520 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147965.520 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.520 * [misc]taylor: Taking taylor expansion of k in k 1548147965.520 * [misc]backup-simplify: Simplify 0 into 0 1548147965.520 * [misc]backup-simplify: Simplify 1 into 1 1548147965.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.520 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147965.520 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147965.521 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1548147965.521 * [misc]backup-simplify: Simplify 0 into 0 1548147965.522 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548147965.523 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1548147965.526 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548147965.526 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548147965.527 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.527 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.528 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1548147965.529 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147965.530 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1548147965.530 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.530 * [misc]backup-simplify: Simplify 0 into 0 1548147965.531 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548147965.532 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548147965.535 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548147965.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.535 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147965.535 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147965.535 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147965.536 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1548147965.537 * [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))))))) 1548147965.539 * [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))))))) 1548147965.540 * [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))))))) 1548147965.542 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.543 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1548147965.547 * [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 1548147965.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548147965.547 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.548 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.548 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548147965.550 * [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 1548147965.550 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.551 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1548147965.551 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1548147965.551 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.551 * [misc]backup-simplify: Simplify 0 into 0 1548147965.551 * [misc]backup-simplify: Simplify 0 into 0 1548147965.551 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147965.552 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147965.553 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548147965.554 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.556 * [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 1548147965.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147965.557 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1548147965.559 * [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))))) 1548147965.562 * [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)))))))) 1548147965.563 * [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)))))))) 1548147965.565 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1548147965.566 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1548147965.571 * [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 1548147965.571 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1548147965.572 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.572 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1548147965.573 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1548147965.577 * [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 1548147965.577 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.578 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1548147965.579 * [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 1548147965.579 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.579 * [misc]backup-simplify: Simplify 0 into 0 1548147965.579 * [misc]backup-simplify: Simplify 0 into 0 1548147965.579 * [misc]backup-simplify: Simplify 0 into 0 1548147965.579 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.581 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147965.583 * [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 1548147965.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.593 * [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 1548147965.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147965.594 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.595 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1548147965.599 * [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))))))) 1548147965.608 * [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)))))))))))))) 1548147965.614 * [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)))))))))))))) 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)))))))))))))) 1548147965.625 * [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)))))))))))))))))))))) 1548147965.625 * [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))))) 1548147965.625 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1548147965.626 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548147965.626 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147965.626 * [misc]taylor: Taking taylor expansion of k in k 1548147965.626 * [misc]backup-simplify: Simplify 0 into 0 1548147965.626 * [misc]backup-simplify: Simplify 1 into 1 1548147965.626 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147965.627 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147965.627 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of k in k 1548147965.627 * [misc]backup-simplify: Simplify 0 into 0 1548147965.627 * [misc]backup-simplify: Simplify 1 into 1 1548147965.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.627 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.627 * [misc]backup-simplify: Simplify 2 into 2 1548147965.627 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548147965.627 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.627 * [misc]backup-simplify: Simplify PI into PI 1548147965.627 * [misc]taylor: Taking taylor expansion of n in k 1548147965.627 * [misc]backup-simplify: Simplify n into n 1548147965.627 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548147965.627 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1548147965.628 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1548147965.628 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.628 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147965.628 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147965.628 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1548147965.628 * [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)))) 1548147965.628 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147965.628 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548147965.628 * [misc]taylor: Taking taylor expansion of k in n 1548147965.628 * [misc]backup-simplify: Simplify k into k 1548147965.628 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548147965.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548147965.628 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of k in n 1548147965.629 * [misc]backup-simplify: Simplify k into k 1548147965.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.629 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.629 * [misc]backup-simplify: Simplify 2 into 2 1548147965.629 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.629 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.629 * [misc]backup-simplify: Simplify PI into PI 1548147965.629 * [misc]taylor: Taking taylor expansion of n in n 1548147965.629 * [misc]backup-simplify: Simplify 0 into 0 1548147965.629 * [misc]backup-simplify: Simplify 1 into 1 1548147965.629 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.629 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.630 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.630 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.630 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147965.630 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147965.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.631 * [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))) 1548147965.631 * [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)))) 1548147965.631 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of k in n 1548147965.631 * [misc]backup-simplify: Simplify k into k 1548147965.631 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548147965.631 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548147965.631 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of k in n 1548147965.631 * [misc]backup-simplify: Simplify k into k 1548147965.631 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.631 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of 2 in n 1548147965.631 * [misc]backup-simplify: Simplify 2 into 2 1548147965.631 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.631 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.631 * [misc]backup-simplify: Simplify PI into PI 1548147965.631 * [misc]taylor: Taking taylor expansion of n in n 1548147965.632 * [misc]backup-simplify: Simplify 0 into 0 1548147965.632 * [misc]backup-simplify: Simplify 1 into 1 1548147965.632 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.632 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.632 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.632 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.632 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147965.632 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147965.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.633 * [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))) 1548147965.634 * [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)))) 1548147965.634 * [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)) 1548147965.634 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of k in k 1548147965.634 * [misc]backup-simplify: Simplify 0 into 0 1548147965.634 * [misc]backup-simplify: Simplify 1 into 1 1548147965.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.634 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1548147965.634 * [misc]taylor: Taking taylor expansion of 2 in k 1548147965.634 * [misc]backup-simplify: Simplify 2 into 2 1548147965.634 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.634 * [misc]backup-simplify: Simplify PI into PI 1548147965.635 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1548147965.635 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1548147965.635 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147965.635 * [misc]taylor: Taking taylor expansion of n in k 1548147965.635 * [misc]backup-simplify: Simplify n into n 1548147965.635 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147965.635 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.635 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147965.635 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147965.635 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147965.636 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1548147965.636 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1548147965.637 * [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)))) 1548147965.637 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147965.637 * [misc]taylor: Taking taylor expansion of k in k 1548147965.637 * [misc]backup-simplify: Simplify 0 into 0 1548147965.637 * [misc]backup-simplify: Simplify 1 into 1 1548147965.638 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147965.638 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147965.638 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1548147965.638 * [misc]backup-simplify: Simplify 0 into 0 1548147965.639 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548147965.639 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1548147965.641 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1548147965.641 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147965.641 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147965.641 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.641 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.642 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.642 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1548147965.643 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147965.644 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1548147965.644 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.644 * [misc]backup-simplify: Simplify 0 into 0 1548147965.644 * [misc]backup-simplify: Simplify 0 into 0 1548147965.644 * [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)))))) 1548147965.645 * [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)))))) 1548147965.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.646 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.649 * [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 1548147965.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147965.650 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.651 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1548147965.652 * [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 1548147965.653 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1548147965.653 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1548147965.653 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.654 * [misc]backup-simplify: Simplify 0 into 0 1548147965.654 * [misc]backup-simplify: Simplify 0 into 0 1548147965.654 * [misc]backup-simplify: Simplify 0 into 0 1548147965.654 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147965.655 * [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)))))) 1548147965.655 * [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)))))) 1548147965.656 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.657 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1548147965.663 * [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 1548147965.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.663 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147965.663 * [misc]backup-simplify: Simplify (- 0) into 0 1548147965.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.664 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1548147965.664 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1548147965.666 * [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 1548147965.667 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1548147965.667 * [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 1548147965.667 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.667 * [misc]backup-simplify: Simplify 0 into 0 1548147965.667 * [misc]backup-simplify: Simplify 0 into 0 1548147965.667 * [misc]backup-simplify: Simplify 0 into 0 1548147965.667 * [misc]backup-simplify: Simplify 0 into 0 1548147965.668 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147965.669 * [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)))))) 1548147965.669 * [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)))))) 1548147965.671 * [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)))))))) 1548147965.671 * [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))) 1548147965.671 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1548147965.671 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of k in k 1548147965.671 * [misc]backup-simplify: Simplify 0 into 0 1548147965.671 * [misc]backup-simplify: Simplify 1 into 1 1548147965.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.671 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1548147965.671 * [misc]taylor: Taking taylor expansion of -2 in k 1548147965.672 * [misc]backup-simplify: Simplify -2 into -2 1548147965.672 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1548147965.672 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.672 * [misc]backup-simplify: Simplify PI into PI 1548147965.672 * [misc]taylor: Taking taylor expansion of n in k 1548147965.672 * [misc]backup-simplify: Simplify n into n 1548147965.672 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1548147965.672 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1548147965.672 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1548147965.672 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.672 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.672 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1548147965.672 * [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))) 1548147965.672 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147965.672 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147965.672 * [misc]taylor: Taking taylor expansion of -1 in k 1548147965.672 * [misc]backup-simplify: Simplify -1 into -1 1548147965.672 * [misc]taylor: Taking taylor expansion of k in k 1548147965.672 * [misc]backup-simplify: Simplify 0 into 0 1548147965.672 * [misc]backup-simplify: Simplify 1 into 1 1548147965.672 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147965.672 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147965.673 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147965.673 * [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)))) 1548147965.673 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of k in n 1548147965.673 * [misc]backup-simplify: Simplify k into k 1548147965.673 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.673 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of -2 in n 1548147965.673 * [misc]backup-simplify: Simplify -2 into -2 1548147965.673 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.673 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.673 * [misc]backup-simplify: Simplify PI into PI 1548147965.673 * [misc]taylor: Taking taylor expansion of n in n 1548147965.673 * [misc]backup-simplify: Simplify 0 into 0 1548147965.673 * [misc]backup-simplify: Simplify 1 into 1 1548147965.674 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.674 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.675 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548147965.675 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.675 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147965.675 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.676 * [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))) 1548147965.676 * [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)))) 1548147965.676 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548147965.676 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548147965.676 * [misc]taylor: Taking taylor expansion of -1 in n 1548147965.676 * [misc]backup-simplify: Simplify -1 into -1 1548147965.676 * [misc]taylor: Taking taylor expansion of k in n 1548147965.676 * [misc]backup-simplify: Simplify k into k 1548147965.676 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548147965.676 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548147965.676 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548147965.676 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548147965.677 * [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))) 1548147965.677 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.677 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of k in n 1548147965.677 * [misc]backup-simplify: Simplify k into k 1548147965.677 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147965.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147965.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.677 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of -2 in n 1548147965.677 * [misc]backup-simplify: Simplify -2 into -2 1548147965.677 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1548147965.677 * [misc]taylor: Taking taylor expansion of PI in n 1548147965.677 * [misc]backup-simplify: Simplify PI into PI 1548147965.677 * [misc]taylor: Taking taylor expansion of n in n 1548147965.677 * [misc]backup-simplify: Simplify 0 into 0 1548147965.677 * [misc]backup-simplify: Simplify 1 into 1 1548147965.677 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1548147965.677 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.678 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548147965.678 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147965.678 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147965.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.679 * [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))) 1548147965.679 * [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)))) 1548147965.679 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548147965.679 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548147965.679 * [misc]taylor: Taking taylor expansion of -1 in n 1548147965.679 * [misc]backup-simplify: Simplify -1 into -1 1548147965.679 * [misc]taylor: Taking taylor expansion of k in n 1548147965.679 * [misc]backup-simplify: Simplify k into k 1548147965.679 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548147965.679 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548147965.679 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548147965.679 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548147965.680 * [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))) 1548147965.680 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.680 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of k in k 1548147965.680 * [misc]backup-simplify: Simplify 0 into 0 1548147965.680 * [misc]backup-simplify: Simplify 1 into 1 1548147965.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147965.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147965.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147965.680 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1548147965.680 * [misc]taylor: Taking taylor expansion of -2 in k 1548147965.680 * [misc]backup-simplify: Simplify -2 into -2 1548147965.680 * [misc]taylor: Taking taylor expansion of PI in k 1548147965.680 * [misc]backup-simplify: Simplify PI into PI 1548147965.680 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1548147965.681 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1548147965.681 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147965.681 * [misc]taylor: Taking taylor expansion of n in k 1548147965.681 * [misc]backup-simplify: Simplify n into n 1548147965.681 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147965.681 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147965.681 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147965.681 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147965.681 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1548147965.682 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1548147965.682 * [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)))) 1548147965.682 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147965.682 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147965.682 * [misc]taylor: Taking taylor expansion of -1 in k 1548147965.682 * [misc]backup-simplify: Simplify -1 into -1 1548147965.682 * [misc]taylor: Taking taylor expansion of k in k 1548147965.682 * [misc]backup-simplify: Simplify 0 into 0 1548147965.682 * [misc]backup-simplify: Simplify 1 into 1 1548147965.682 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147965.683 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147965.683 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147965.683 * [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))))) 1548147965.684 * [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))))) 1548147965.684 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1548147965.685 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1548147965.688 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1548147965.688 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147965.688 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147965.688 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.690 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1548147965.691 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147965.692 * [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 1548147965.692 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.692 * [misc]backup-simplify: Simplify 0 into 0 1548147965.692 * [misc]backup-simplify: Simplify 0 into 0 1548147965.692 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548147965.694 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147965.694 * [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)))))) 1548147965.695 * [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)))))) 1548147965.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.698 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1548147965.703 * [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 1548147965.703 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147965.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147965.705 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1548147965.705 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1548147965.708 * [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 1548147965.708 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147965.709 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1548147965.710 * [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 1548147965.710 * [misc]taylor: Taking taylor expansion of 0 in k 1548147965.710 * [misc]backup-simplify: Simplify 0 into 0 1548147965.710 * [misc]backup-simplify: Simplify 0 into 0 1548147965.710 * [misc]backup-simplify: Simplify 0 into 0 1548147965.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147965.711 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147965.713 * [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)))))) 1548147965.714 * [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)))))) 1548147965.716 * [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))))))))))) 1548147965.717 * * * [misc]progress: simplifying candidates 1548147965.717 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1548147965.717 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1548147965.717 * * [misc]simplify: iters left: 6 (11 enodes) 1548147965.721 * * [misc]simplify: iters left: 5 (21 enodes) 1548147965.728 * * [misc]simplify: iters left: 4 (47 enodes) 1548147965.743 * * [misc]simplify: iters left: 3 (109 enodes) 1548147965.792 * * [misc]simplify: iters left: 2 (300 enodes) 1548147965.981 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1548147965.982 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1548147965.982 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1548147965.982 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1548147965.982 * [enter]simplify: Simplifying (* PI (* n 2)) 1548147965.982 * * [misc]simplify: iters left: 4 (5 enodes) 1548147965.984 * * [misc]simplify: iters left: 3 (9 enodes) 1548147965.987 * * [misc]simplify: iters left: 2 (15 enodes) 1548147965.990 * * [misc]simplify: iters left: 1 (17 enodes) 1548147965.994 * [exit]simplify: Simplified to (* (* 2 n) PI) 1548147965.994 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1548147965.995 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1548147965.995 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1548147965.995 * * [misc]simplify: iters left: 5 (8 enodes) 1548147965.997 * * [misc]simplify: iters left: 4 (12 enodes) 1548147966.001 * * [misc]simplify: iters left: 3 (18 enodes) 1548147966.005 * * [misc]simplify: iters left: 2 (20 enodes) 1548147966.007 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1548147966.007 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1548147966.007 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1548147966.007 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548147966.007 * * [misc]simplify: iters left: 5 (6 enodes) 1548147966.008 * * [misc]simplify: iters left: 4 (8 enodes) 1548147966.009 * * [misc]simplify: iters left: 3 (11 enodes) 1548147966.010 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548147966.011 * [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))) 1548147966.011 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1548147966.011 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548147966.011 * * [misc]simplify: iters left: 5 (6 enodes) 1548147966.011 * * [misc]simplify: iters left: 4 (8 enodes) 1548147966.013 * * [misc]simplify: iters left: 3 (11 enodes) 1548147966.014 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548147966.014 * [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))) 1548147966.014 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1548147966.014 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548147966.014 * * [misc]simplify: iters left: 4 (5 enodes) 1548147966.015 * * [misc]simplify: iters left: 3 (7 enodes) 1548147966.016 * * [misc]simplify: iters left: 2 (10 enodes) 1548147966.017 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548147966.017 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1548147966.017 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1548147966.017 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1548147966.017 * * [misc]simplify: iters left: 5 (9 enodes) 1548147966.018 * * [misc]simplify: iters left: 4 (15 enodes) 1548147966.020 * * [misc]simplify: iters left: 3 (21 enodes) 1548147966.023 * * [misc]simplify: iters left: 2 (22 enodes) 1548147966.028 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1548147966.028 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1548147966.028 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1548147966.028 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1548147966.028 * * [misc]simplify: iters left: 5 (9 enodes) 1548147966.030 * * [misc]simplify: iters left: 4 (15 enodes) 1548147966.032 * * [misc]simplify: iters left: 3 (21 enodes) 1548147966.037 * * [misc]simplify: iters left: 2 (22 enodes) 1548147966.042 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1548147966.042 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1548147966.042 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1548147966.042 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1548147966.042 * * [misc]simplify: iters left: 5 (7 enodes) 1548147966.044 * * [misc]simplify: iters left: 4 (9 enodes) 1548147966.047 * * [misc]simplify: iters left: 3 (12 enodes) 1548147966.049 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1548147966.049 * [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))) 1548147966.049 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1548147966.049 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1548147966.049 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1548147966.050 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1548147966.050 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1548147966.050 * * [misc]simplify: iters left: 6 (14 enodes) 1548147966.052 * * [misc]simplify: iters left: 5 (26 enodes) 1548147966.057 * * [misc]simplify: iters left: 4 (53 enodes) 1548147966.066 * * [misc]simplify: iters left: 3 (137 enodes) 1548147966.131 * * [misc]simplify: iters left: 2 (487 enodes) 1548147966.609 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1548147966.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1548147966.609 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1548147966.610 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1548147966.610 * * [misc]simplify: iters left: 6 (14 enodes) 1548147966.614 * * [misc]simplify: iters left: 5 (26 enodes) 1548147966.622 * * [misc]simplify: iters left: 4 (53 enodes) 1548147966.637 * * [misc]simplify: iters left: 3 (137 enodes) 1548147966.699 * * [misc]simplify: iters left: 2 (487 enodes) 1548147967.203 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1548147967.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1548147967.204 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1548147967.204 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1548147967.204 * * [misc]simplify: iters left: 6 (14 enodes) 1548147967.208 * * [misc]simplify: iters left: 5 (24 enodes) 1548147967.215 * * [misc]simplify: iters left: 4 (42 enodes) 1548147967.227 * * [misc]simplify: iters left: 3 (71 enodes) 1548147967.254 * * [misc]simplify: iters left: 2 (208 enodes) 1548147967.428 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1548147967.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1548147967.428 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1548147967.428 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1548147967.428 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1548147967.429 * [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))) 1548147967.429 * * [misc]simplify: iters left: 6 (16 enodes) 1548147967.431 * * [misc]simplify: iters left: 5 (31 enodes) 1548147967.437 * * [misc]simplify: iters left: 4 (67 enodes) 1548147967.447 * * [misc]simplify: iters left: 3 (124 enodes) 1548147967.471 * * [misc]simplify: iters left: 2 (195 enodes) 1548147967.539 * * [misc]simplify: iters left: 1 (309 enodes) 1548147967.692 * [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)))) 1548147967.692 * [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)))))) 1548147967.692 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1548147967.692 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1548147967.692 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1548147967.692 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1548147967.692 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1548147967.692 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147967.692 * * [misc]simplify: iters left: 6 (12 enodes) 1548147967.694 * * [misc]simplify: iters left: 5 (19 enodes) 1548147967.697 * * [misc]simplify: iters left: 4 (25 enodes) 1548147967.700 * * [misc]simplify: iters left: 3 (26 enodes) 1548147967.703 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147967.703 * [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))))) 1548147967.703 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1548147967.703 * * [misc]simplify: iters left: 6 (12 enodes) 1548147967.706 * * [misc]simplify: iters left: 5 (18 enodes) 1548147967.711 * * [misc]simplify: iters left: 4 (24 enodes) 1548147967.717 * * [misc]simplify: iters left: 3 (25 enodes) 1548147967.723 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1548147967.723 * [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))))) 1548147967.723 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1548147967.723 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1548147967.723 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.727 * * [misc]simplify: iters left: 5 (16 enodes) 1548147967.731 * * [misc]simplify: iters left: 4 (22 enodes) 1548147967.737 * * [misc]simplify: iters left: 3 (24 enodes) 1548147967.741 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1548147967.741 * [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))))) 1548147967.741 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1548147967.741 * * [misc]simplify: iters left: 6 (12 enodes) 1548147967.743 * * [misc]simplify: iters left: 5 (18 enodes) 1548147967.745 * * [misc]simplify: iters left: 4 (24 enodes) 1548147967.749 * * [misc]simplify: iters left: 3 (25 enodes) 1548147967.752 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1548147967.752 * [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))))) 1548147967.752 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1548147967.752 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1548147967.752 * * [misc]simplify: iters left: 6 (9 enodes) 1548147967.753 * * [misc]simplify: iters left: 5 (16 enodes) 1548147967.756 * * [misc]simplify: iters left: 4 (24 enodes) 1548147967.759 * * [misc]simplify: iters left: 3 (26 enodes) 1548147967.761 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1548147967.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1548147967.761 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1548147967.761 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.763 * * [misc]simplify: iters left: 5 (17 enodes) 1548147967.767 * * [misc]simplify: iters left: 4 (23 enodes) 1548147967.773 * * [misc]simplify: iters left: 3 (24 enodes) 1548147967.779 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1548147967.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1548147967.779 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1548147967.779 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147967.780 * * [misc]simplify: iters left: 6 (12 enodes) 1548147967.783 * * [misc]simplify: iters left: 5 (19 enodes) 1548147967.788 * * [misc]simplify: iters left: 4 (25 enodes) 1548147967.794 * * [misc]simplify: iters left: 3 (26 enodes) 1548147967.800 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147967.800 * [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))))) 1548147967.801 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1548147967.801 * * [misc]simplify: iters left: 6 (12 enodes) 1548147967.804 * * [misc]simplify: iters left: 5 (18 enodes) 1548147967.806 * * [misc]simplify: iters left: 4 (24 enodes) 1548147967.809 * * [misc]simplify: iters left: 3 (25 enodes) 1548147967.812 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1548147967.812 * [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))))) 1548147967.812 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1548147967.812 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1548147967.813 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.814 * * [misc]simplify: iters left: 5 (16 enodes) 1548147967.816 * * [misc]simplify: iters left: 4 (22 enodes) 1548147967.819 * * [misc]simplify: iters left: 3 (24 enodes) 1548147967.821 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1548147967.821 * [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))))) 1548147967.821 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1548147967.822 * * [misc]simplify: iters left: 6 (12 enodes) 1548147967.823 * * [misc]simplify: iters left: 5 (18 enodes) 1548147967.826 * * [misc]simplify: iters left: 4 (24 enodes) 1548147967.829 * * [misc]simplify: iters left: 3 (25 enodes) 1548147967.831 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1548147967.832 * [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))))) 1548147967.832 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1548147967.832 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1548147967.833 * * [misc]simplify: iters left: 6 (9 enodes) 1548147967.834 * * [misc]simplify: iters left: 5 (16 enodes) 1548147967.837 * * [misc]simplify: iters left: 4 (24 enodes) 1548147967.842 * * [misc]simplify: iters left: 3 (26 enodes) 1548147967.847 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1548147967.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1548147967.848 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1548147967.848 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.850 * * [misc]simplify: iters left: 5 (17 enodes) 1548147967.852 * * [misc]simplify: iters left: 4 (23 enodes) 1548147967.855 * * [misc]simplify: iters left: 3 (24 enodes) 1548147967.858 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1548147967.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1548147967.858 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1548147967.858 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147967.858 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.860 * * [misc]simplify: iters left: 5 (15 enodes) 1548147967.862 * * [misc]simplify: iters left: 4 (18 enodes) 1548147967.864 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147967.864 * [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))))) 1548147967.864 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548147967.864 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.866 * * [misc]simplify: iters left: 5 (14 enodes) 1548147967.867 * * [misc]simplify: iters left: 4 (17 enodes) 1548147967.869 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548147967.870 * [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))))) 1548147967.870 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1548147967.870 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147967.870 * * [misc]simplify: iters left: 6 (10 enodes) 1548147967.871 * * [misc]simplify: iters left: 5 (12 enodes) 1548147967.873 * * [misc]simplify: iters left: 4 (15 enodes) 1548147967.874 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147967.874 * [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))))) 1548147967.875 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147967.875 * * [misc]simplify: iters left: 6 (11 enodes) 1548147967.876 * * [misc]simplify: iters left: 5 (14 enodes) 1548147967.878 * * [misc]simplify: iters left: 4 (17 enodes) 1548147967.880 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147967.880 * [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))))) 1548147967.880 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1548147967.881 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1548147967.881 * * [misc]simplify: iters left: 6 (9 enodes) 1548147967.882 * * [misc]simplify: iters left: 5 (13 enodes) 1548147967.884 * * [misc]simplify: iters left: 4 (18 enodes) 1548147967.886 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1548147967.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1548147967.886 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1548147967.886 * * [misc]simplify: iters left: 6 (10 enodes) 1548147967.888 * * [misc]simplify: iters left: 5 (13 enodes) 1548147967.889 * * [misc]simplify: iters left: 4 (16 enodes) 1548147967.891 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1548147967.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1548147967.891 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1548147967.892 * [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)))) 1548147967.892 * * [misc]simplify: iters left: 6 (16 enodes) 1548147967.894 * * [misc]simplify: iters left: 5 (28 enodes) 1548147967.898 * * [misc]simplify: iters left: 4 (46 enodes) 1548147967.903 * * [misc]simplify: iters left: 3 (50 enodes) 1548147967.909 * * [misc]simplify: iters left: 2 (53 enodes) 1548147967.919 * [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)))) 1548147967.919 * [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))))) 1548147967.919 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548147967.920 * * [misc]simplify: iters left: 6 (14 enodes) 1548147967.923 * * [misc]simplify: iters left: 5 (20 enodes) 1548147967.929 * * [misc]simplify: iters left: 4 (29 enodes) 1548147967.936 * * [misc]simplify: iters left: 3 (30 enodes) 1548147967.943 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548147967.943 * [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))))) 1548147967.943 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1548147967.943 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548147967.943 * * [misc]simplify: iters left: 6 (15 enodes) 1548147967.948 * * [misc]simplify: iters left: 5 (23 enodes) 1548147967.954 * * [misc]simplify: iters left: 4 (34 enodes) 1548147967.964 * * [misc]simplify: iters left: 3 (37 enodes) 1548147967.973 * [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)))))) 1548147967.973 * [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))))) 1548147967.973 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147967.974 * * [misc]simplify: iters left: 6 (14 enodes) 1548147967.978 * * [misc]simplify: iters left: 5 (20 enodes) 1548147967.983 * * [misc]simplify: iters left: 4 (29 enodes) 1548147967.990 * * [misc]simplify: iters left: 3 (30 enodes) 1548147967.998 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147967.998 * [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))))) 1548147967.998 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1548147967.998 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1548147967.998 * * [misc]simplify: iters left: 6 (14 enodes) 1548147968.003 * * [misc]simplify: iters left: 5 (24 enodes) 1548147968.010 * * [misc]simplify: iters left: 4 (39 enodes) 1548147968.019 * * [misc]simplify: iters left: 3 (54 enodes) 1548147968.033 * * [misc]simplify: iters left: 2 (80 enodes) 1548147968.047 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1548147968.047 * [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)))) 1548147968.047 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1548147968.048 * * [misc]simplify: iters left: 6 (13 enodes) 1548147968.050 * * [misc]simplify: iters left: 5 (19 enodes) 1548147968.052 * * [misc]simplify: iters left: 4 (28 enodes) 1548147968.056 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.059 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1548147968.059 * [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)))) 1548147968.059 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1548147968.060 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147968.060 * * [misc]simplify: iters left: 6 (15 enodes) 1548147968.062 * * [misc]simplify: iters left: 5 (23 enodes) 1548147968.065 * * [misc]simplify: iters left: 4 (32 enodes) 1548147968.069 * * [misc]simplify: iters left: 3 (34 enodes) 1548147968.073 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147968.073 * [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))))) 1548147968.073 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548147968.074 * * [misc]simplify: iters left: 6 (14 enodes) 1548147968.075 * * [misc]simplify: iters left: 5 (20 enodes) 1548147968.080 * * [misc]simplify: iters left: 4 (29 enodes) 1548147968.087 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.094 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1548147968.094 * [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))))) 1548147968.094 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1548147968.095 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147968.095 * * [misc]simplify: iters left: 6 (14 enodes) 1548147968.098 * * [misc]simplify: iters left: 5 (20 enodes) 1548147968.101 * * [misc]simplify: iters left: 4 (29 enodes) 1548147968.104 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.108 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147968.108 * [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))))) 1548147968.108 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147968.108 * * [misc]simplify: iters left: 6 (14 enodes) 1548147968.110 * * [misc]simplify: iters left: 5 (20 enodes) 1548147968.113 * * [misc]simplify: iters left: 4 (29 enodes) 1548147968.116 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.120 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147968.120 * [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))))) 1548147968.120 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1548147968.120 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1548147968.121 * * [misc]simplify: iters left: 6 (13 enodes) 1548147968.124 * * [misc]simplify: iters left: 5 (21 enodes) 1548147968.131 * * [misc]simplify: iters left: 4 (32 enodes) 1548147968.140 * * [misc]simplify: iters left: 3 (33 enodes) 1548147968.143 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1548147968.143 * [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)))) 1548147968.144 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1548147968.144 * * [misc]simplify: iters left: 6 (13 enodes) 1548147968.145 * * [misc]simplify: iters left: 5 (19 enodes) 1548147968.148 * * [misc]simplify: iters left: 4 (28 enodes) 1548147968.152 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.156 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1548147968.156 * [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)))) 1548147968.156 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1548147968.156 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147968.156 * * [misc]simplify: iters left: 6 (6 enodes) 1548147968.157 * * [misc]simplify: iters left: 5 (10 enodes) 1548147968.158 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147968.158 * [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))))) 1548147968.158 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548147968.158 * * [misc]simplify: iters left: 6 (13 enodes) 1548147968.160 * * [misc]simplify: iters left: 5 (19 enodes) 1548147968.163 * * [misc]simplify: iters left: 4 (28 enodes) 1548147968.166 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.170 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1548147968.170 * [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))))) 1548147968.170 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1548147968.170 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1548147968.170 * * [misc]simplify: iters left: 4 (5 enodes) 1548147968.171 * * [misc]simplify: iters left: 3 (7 enodes) 1548147968.172 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1548147968.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1548147968.172 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147968.172 * * [misc]simplify: iters left: 6 (13 enodes) 1548147968.174 * * [misc]simplify: iters left: 5 (19 enodes) 1548147968.176 * * [misc]simplify: iters left: 4 (28 enodes) 1548147968.183 * * [misc]simplify: iters left: 3 (30 enodes) 1548147968.191 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147968.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1548147968.191 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1548147968.191 * [enter]simplify: Simplifying (/ 1 1) 1548147968.191 * * [misc]simplify: iters left: 2 (2 enodes) 1548147968.192 * * [misc]simplify: iters left: 1 (4 enodes) 1548147968.192 * [exit]simplify: Simplified to 1 1548147968.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1548147968.193 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1548147968.193 * * [misc]simplify: iters left: 6 (12 enodes) 1548147968.194 * * [misc]simplify: iters left: 5 (18 enodes) 1548147968.197 * * [misc]simplify: iters left: 4 (27 enodes) 1548147968.200 * * [misc]simplify: iters left: 3 (29 enodes) 1548147968.204 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1548147968.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1548147968.204 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1548147968.204 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1548147968.204 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1548147968.204 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1548147968.204 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1548147968.204 * * [misc]simplify: iters left: 2 (3 enodes) 1548147968.204 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1548147968.204 * [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)))) 1548147968.204 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1548147968.205 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548147968.205 * * [misc]simplify: iters left: 2 (3 enodes) 1548147968.205 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548147968.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1548147968.205 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1548147968.205 * [enter]simplify: Simplifying (sqrt k) 1548147968.205 * * [misc]simplify: iters left: 1 (2 enodes) 1548147968.205 * [exit]simplify: Simplified to (sqrt k) 1548147968.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1548147968.206 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1548147968.206 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1548147968.206 * * [misc]simplify: iters left: 5 (7 enodes) 1548147968.207 * * [misc]simplify: iters left: 4 (12 enodes) 1548147968.208 * * [misc]simplify: iters left: 3 (18 enodes) 1548147968.210 * * [misc]simplify: iters left: 2 (20 enodes) 1548147968.213 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1548147968.213 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1548147968.213 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1548147968.213 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1548147968.213 * * [misc]simplify: iters left: 5 (7 enodes) 1548147968.214 * * [misc]simplify: iters left: 4 (12 enodes) 1548147968.215 * * [misc]simplify: iters left: 3 (18 enodes) 1548147968.217 * * [misc]simplify: iters left: 2 (20 enodes) 1548147968.220 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1548147968.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1548147968.220 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1548147968.221 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1548147968.221 * * [misc]simplify: iters left: 5 (7 enodes) 1548147968.222 * * [misc]simplify: iters left: 4 (9 enodes) 1548147968.223 * * [misc]simplify: iters left: 3 (12 enodes) 1548147968.224 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1548147968.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147968.225 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1548147968.225 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1548147968.225 * * [misc]simplify: iters left: 6 (12 enodes) 1548147968.229 * * [misc]simplify: iters left: 5 (18 enodes) 1548147968.233 * * [misc]simplify: iters left: 4 (27 enodes) 1548147968.237 * * [misc]simplify: iters left: 3 (29 enodes) 1548147968.240 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1548147968.240 * [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))))))) 1548147968.240 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1548147968.240 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1548147968.240 * * [misc]simplify: iters left: 6 (11 enodes) 1548147968.242 * * [misc]simplify: iters left: 5 (17 enodes) 1548147968.244 * * [misc]simplify: iters left: 4 (26 enodes) 1548147968.247 * * [misc]simplify: iters left: 3 (27 enodes) 1548147968.251 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1548147968.251 * [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))))))) 1548147968.251 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1548147968.251 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1548147968.251 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1548147968.251 * * [misc]simplify: iters left: 5 (7 enodes) 1548147968.252 * * [misc]simplify: iters left: 4 (12 enodes) 1548147968.254 * * [misc]simplify: iters left: 3 (18 enodes) 1548147968.256 * * [misc]simplify: iters left: 2 (20 enodes) 1548147968.258 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1548147968.258 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1548147968.258 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1548147968.258 * [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))))) 1548147968.259 * * [misc]simplify: iters left: 6 (37 enodes) 1548147968.266 * * [misc]simplify: iters left: 5 (105 enodes) 1548147968.286 * * [misc]simplify: iters left: 4 (339 enodes) 1548147968.482 * [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))))) 1548147968.482 * [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))) 1548147968.482 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1548147968.482 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1548147968.482 * * [misc]simplify: iters left: 6 (15 enodes) 1548147968.488 * * [misc]simplify: iters left: 5 (33 enodes) 1548147968.499 * * [misc]simplify: iters left: 4 (64 enodes) 1548147968.516 * * [misc]simplify: iters left: 3 (171 enodes) 1548147968.611 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1548147968.612 * [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))) 1548147968.612 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1548147968.612 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1548147968.612 * * [misc]simplify: iters left: 6 (15 enodes) 1548147968.618 * * [misc]simplify: iters left: 5 (30 enodes) 1548147968.628 * * [misc]simplify: iters left: 4 (65 enodes) 1548147968.653 * * [misc]simplify: iters left: 3 (200 enodes) 1548147968.795 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1548147968.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1548147968.795 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1548147968.795 * [enter]simplify: Simplifying (* 2 (* n PI)) 1548147968.795 * * [misc]simplify: iters left: 4 (5 enodes) 1548147968.796 * * [misc]simplify: iters left: 3 (9 enodes) 1548147968.797 * * [misc]simplify: iters left: 2 (15 enodes) 1548147968.799 * * [misc]simplify: iters left: 1 (17 enodes) 1548147968.801 * [exit]simplify: Simplified to (* (* PI n) 2) 1548147968.801 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1548147968.801 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1548147968.801 * [enter]simplify: Simplifying (* 2 (* n PI)) 1548147968.801 * * [misc]simplify: iters left: 4 (5 enodes) 1548147968.802 * * [misc]simplify: iters left: 3 (9 enodes) 1548147968.803 * * [misc]simplify: iters left: 2 (15 enodes) 1548147968.805 * * [misc]simplify: iters left: 1 (17 enodes) 1548147968.807 * [exit]simplify: Simplified to (* (* PI n) 2) 1548147968.807 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1548147968.807 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1548147968.807 * [enter]simplify: Simplifying (* 2 (* n PI)) 1548147968.807 * * [misc]simplify: iters left: 4 (5 enodes) 1548147968.808 * * [misc]simplify: iters left: 3 (9 enodes) 1548147968.809 * * [misc]simplify: iters left: 2 (15 enodes) 1548147968.811 * * [misc]simplify: iters left: 1 (17 enodes) 1548147968.812 * [exit]simplify: Simplified to (* (* PI n) 2) 1548147968.813 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1548147968.813 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1548147968.813 * [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)))))))))))))))))))))) 1548147968.813 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548147968.813 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1548147968.813 * [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)))))))) 1548147968.813 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548147968.813 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1548147968.813 * [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))))))))))) 1548147968.813 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548147968.813 * * * [misc]progress: adding candidates to table 1548147969.614 * * [misc]progress: iteration 2 / 4 1548147969.614 * * * [misc]progress: picking best candidate 1548147969.651 * * * * [misc]pick: Picked # 1548147969.651 * * * [misc]progress: localizing error 1548147969.680 * * * [misc]progress: generating rewritten candidates 1548147969.680 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1548147969.682 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1548147969.684 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1548147969.696 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1548147969.711 * * * [misc]progress: generating series expansions 1548147969.711 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1548147969.712 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1548147969.712 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1548147969.712 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147969.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147969.712 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147969.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.713 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.713 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.713 * [misc]taylor: Taking taylor expansion of k in k 1548147969.713 * [misc]backup-simplify: Simplify 0 into 0 1548147969.713 * [misc]backup-simplify: Simplify 1 into 1 1548147969.713 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147969.713 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147969.713 * [misc]taylor: Taking taylor expansion of 2 in k 1548147969.713 * [misc]backup-simplify: Simplify 2 into 2 1548147969.713 * [misc]taylor: Taking taylor expansion of n in k 1548147969.713 * [misc]backup-simplify: Simplify n into n 1548147969.713 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147969.713 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147969.713 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.713 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.714 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.714 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147969.714 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147969.714 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.714 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.714 * [misc]taylor: Taking taylor expansion of k in n 1548147969.714 * [misc]backup-simplify: Simplify k into k 1548147969.714 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.714 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.714 * [misc]backup-simplify: Simplify 2 into 2 1548147969.714 * [misc]taylor: Taking taylor expansion of n in n 1548147969.714 * [misc]backup-simplify: Simplify 0 into 0 1548147969.714 * [misc]backup-simplify: Simplify 1 into 1 1548147969.714 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.715 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.715 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.715 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147969.715 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147969.715 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147969.715 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.716 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147969.716 * [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)))) 1548147969.716 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.716 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.716 * [misc]taylor: Taking taylor expansion of k in n 1548147969.716 * [misc]backup-simplify: Simplify k into k 1548147969.716 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.716 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.717 * [misc]backup-simplify: Simplify 2 into 2 1548147969.717 * [misc]taylor: Taking taylor expansion of n in n 1548147969.717 * [misc]backup-simplify: Simplify 0 into 0 1548147969.717 * [misc]backup-simplify: Simplify 1 into 1 1548147969.717 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.717 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.717 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.717 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147969.717 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147969.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147969.718 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.718 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147969.718 * [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)))) 1548147969.719 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of 2 in k 1548147969.719 * [misc]backup-simplify: Simplify 2 into 2 1548147969.719 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.719 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of n in k 1548147969.719 * [misc]backup-simplify: Simplify n into n 1548147969.719 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147969.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.719 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.719 * [misc]taylor: Taking taylor expansion of k in k 1548147969.719 * [misc]backup-simplify: Simplify 0 into 0 1548147969.719 * [misc]backup-simplify: Simplify 1 into 1 1548147969.719 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1548147969.720 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.720 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.720 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.720 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1548147969.720 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548147969.721 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548147969.721 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548147969.723 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147969.724 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548147969.724 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.724 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.725 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1548147969.726 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147969.726 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.726 * [misc]backup-simplify: Simplify 0 into 0 1548147969.726 * [misc]backup-simplify: Simplify 0 into 0 1548147969.726 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147969.726 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.726 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.729 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147969.730 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548147969.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.730 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1548147969.731 * [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))))) 1548147969.732 * [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))))) 1548147969.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147969.736 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548147969.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548147969.737 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.743 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1548147969.745 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548147969.745 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.745 * [misc]backup-simplify: Simplify 0 into 0 1548147969.745 * [misc]backup-simplify: Simplify 0 into 0 1548147969.745 * [misc]backup-simplify: Simplify 0 into 0 1548147969.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147969.746 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.746 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.750 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548147969.752 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548147969.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.752 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1548147969.754 * [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))))) 1548147969.755 * [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))))) 1548147969.758 * [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))))) 1548147969.758 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147969.758 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548147969.758 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of k in k 1548147969.759 * [misc]backup-simplify: Simplify 0 into 0 1548147969.759 * [misc]backup-simplify: Simplify 1 into 1 1548147969.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.759 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147969.759 * [misc]taylor: Taking taylor expansion of 2 in k 1548147969.759 * [misc]backup-simplify: Simplify 2 into 2 1548147969.759 * [misc]taylor: Taking taylor expansion of n in k 1548147969.759 * [misc]backup-simplify: Simplify n into n 1548147969.759 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147969.759 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147969.760 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.760 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.760 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.760 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147969.760 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147969.760 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147969.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147969.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147969.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147969.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147969.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147969.761 * [misc]taylor: Taking taylor expansion of k in n 1548147969.761 * [misc]backup-simplify: Simplify k into k 1548147969.761 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147969.761 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147969.761 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147969.761 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.761 * [misc]backup-simplify: Simplify 2 into 2 1548147969.761 * [misc]taylor: Taking taylor expansion of n in n 1548147969.761 * [misc]backup-simplify: Simplify 0 into 0 1548147969.761 * [misc]backup-simplify: Simplify 1 into 1 1548147969.761 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147969.761 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.761 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147969.761 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147969.761 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147969.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147969.762 * [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))) 1548147969.763 * [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)))) 1548147969.763 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of k in n 1548147969.763 * [misc]backup-simplify: Simplify k into k 1548147969.763 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147969.763 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147969.763 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.763 * [misc]backup-simplify: Simplify 2 into 2 1548147969.763 * [misc]taylor: Taking taylor expansion of n in n 1548147969.763 * [misc]backup-simplify: Simplify 0 into 0 1548147969.763 * [misc]backup-simplify: Simplify 1 into 1 1548147969.763 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147969.764 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.764 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147969.764 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147969.764 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147969.764 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147969.764 * [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))) 1548147969.765 * [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)))) 1548147969.765 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of k in k 1548147969.765 * [misc]backup-simplify: Simplify 0 into 0 1548147969.765 * [misc]backup-simplify: Simplify 1 into 1 1548147969.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.765 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548147969.765 * [misc]taylor: Taking taylor expansion of 2 in k 1548147969.765 * [misc]backup-simplify: Simplify 2 into 2 1548147969.766 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.766 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147969.766 * [misc]taylor: Taking taylor expansion of n in k 1548147969.766 * [misc]backup-simplify: Simplify n into n 1548147969.766 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147969.766 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.766 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.766 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.766 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147969.767 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1548147969.767 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1548147969.767 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548147969.767 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548147969.768 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548147969.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147969.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147969.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147969.771 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147969.772 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548147969.773 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147969.773 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.773 * [misc]backup-simplify: Simplify 0 into 0 1548147969.773 * [misc]backup-simplify: Simplify 0 into 0 1548147969.773 * [misc]backup-simplify: Simplify 0 into 0 1548147969.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147969.778 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548147969.778 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147969.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147969.778 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.779 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147969.779 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1548147969.781 * [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 1548147969.781 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.781 * [misc]backup-simplify: Simplify 0 into 0 1548147969.781 * [misc]backup-simplify: Simplify 0 into 0 1548147969.782 * [misc]backup-simplify: Simplify 0 into 0 1548147969.782 * [misc]backup-simplify: Simplify 0 into 0 1548147969.782 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147969.789 * [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 1548147969.789 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147969.790 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147969.790 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.790 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.790 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147969.791 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1548147969.794 * [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 1548147969.794 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.794 * [misc]backup-simplify: Simplify 0 into 0 1548147969.795 * [misc]backup-simplify: Simplify 0 into 0 1548147969.795 * [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)))) 1548147969.795 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147969.795 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548147969.795 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147969.795 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147969.795 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147969.795 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147969.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.795 * [misc]taylor: Taking taylor expansion of k in k 1548147969.796 * [misc]backup-simplify: Simplify 0 into 0 1548147969.796 * [misc]backup-simplify: Simplify 1 into 1 1548147969.796 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.796 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.796 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147969.796 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147969.796 * [misc]taylor: Taking taylor expansion of -2 in k 1548147969.796 * [misc]backup-simplify: Simplify -2 into -2 1548147969.796 * [misc]taylor: Taking taylor expansion of n in k 1548147969.796 * [misc]backup-simplify: Simplify n into n 1548147969.796 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147969.796 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147969.796 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.796 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.796 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147969.797 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147969.797 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of k in n 1548147969.797 * [misc]backup-simplify: Simplify k into k 1548147969.797 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147969.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.797 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147969.797 * [misc]taylor: Taking taylor expansion of -2 in n 1548147969.797 * [misc]backup-simplify: Simplify -2 into -2 1548147969.797 * [misc]taylor: Taking taylor expansion of n in n 1548147969.797 * [misc]backup-simplify: Simplify 0 into 0 1548147969.797 * [misc]backup-simplify: Simplify 1 into 1 1548147969.797 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147969.798 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147969.798 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147969.798 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147969.798 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147969.798 * [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))) 1548147969.799 * [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)))) 1548147969.799 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of k in n 1548147969.799 * [misc]backup-simplify: Simplify k into k 1548147969.799 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147969.799 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.799 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147969.799 * [misc]taylor: Taking taylor expansion of -2 in n 1548147969.799 * [misc]backup-simplify: Simplify -2 into -2 1548147969.799 * [misc]taylor: Taking taylor expansion of n in n 1548147969.799 * [misc]backup-simplify: Simplify 0 into 0 1548147969.799 * [misc]backup-simplify: Simplify 1 into 1 1548147969.800 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147969.800 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147969.800 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147969.800 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147969.800 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147969.801 * [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))) 1548147969.801 * [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)))) 1548147969.801 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1548147969.801 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1548147969.801 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147969.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.801 * [misc]taylor: Taking taylor expansion of k in k 1548147969.801 * [misc]backup-simplify: Simplify 0 into 0 1548147969.801 * [misc]backup-simplify: Simplify 1 into 1 1548147969.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.802 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1548147969.802 * [misc]taylor: Taking taylor expansion of (log -2) in k 1548147969.802 * [misc]taylor: Taking taylor expansion of -2 in k 1548147969.802 * [misc]backup-simplify: Simplify -2 into -2 1548147969.802 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147969.802 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147969.802 * [misc]taylor: Taking taylor expansion of n in k 1548147969.802 * [misc]backup-simplify: Simplify n into n 1548147969.802 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147969.802 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.802 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.802 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147969.803 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1548147969.803 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1548147969.803 * [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)))) 1548147969.803 * [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)))) 1548147969.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548147969.807 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548147969.807 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147969.807 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147969.807 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.807 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147969.808 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548147969.809 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147969.810 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.810 * [misc]backup-simplify: Simplify 0 into 0 1548147969.810 * [misc]backup-simplify: Simplify 0 into 0 1548147969.810 * [misc]backup-simplify: Simplify 0 into 0 1548147969.810 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147969.814 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1548147969.814 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147969.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147969.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.815 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147969.816 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1548147969.818 * [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 1548147969.818 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.818 * [misc]backup-simplify: Simplify 0 into 0 1548147969.818 * [misc]backup-simplify: Simplify 0 into 0 1548147969.818 * [misc]backup-simplify: Simplify 0 into 0 1548147969.818 * [misc]backup-simplify: Simplify 0 into 0 1548147969.818 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147969.825 * [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 1548147969.826 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147969.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147969.827 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147969.828 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1548147969.831 * [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 1548147969.831 * [misc]taylor: Taking taylor expansion of 0 in k 1548147969.831 * [misc]backup-simplify: Simplify 0 into 0 1548147969.831 * [misc]backup-simplify: Simplify 0 into 0 1548147969.831 * [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))))) 1548147969.832 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1548147969.832 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1548147969.832 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1548147969.832 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548147969.832 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548147969.832 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147969.832 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.832 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.832 * [misc]taylor: Taking taylor expansion of k in k 1548147969.832 * [misc]backup-simplify: Simplify 0 into 0 1548147969.832 * [misc]backup-simplify: Simplify 1 into 1 1548147969.832 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.832 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.832 * [misc]backup-simplify: Simplify PI into PI 1548147969.833 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.833 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.833 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.833 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.834 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147969.834 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548147969.834 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548147969.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548147969.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147969.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.835 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.835 * [misc]taylor: Taking taylor expansion of k in k 1548147969.835 * [misc]backup-simplify: Simplify 0 into 0 1548147969.835 * [misc]backup-simplify: Simplify 1 into 1 1548147969.835 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.835 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.835 * [misc]backup-simplify: Simplify PI into PI 1548147969.835 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.835 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.835 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.835 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.836 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147969.837 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548147969.837 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1548147969.839 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147969.839 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147969.840 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.840 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548147969.844 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548147969.845 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1548147969.849 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548147969.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147969.850 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548147969.855 * [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))) 1548147969.857 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1548147969.860 * [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)))) 1548147969.860 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147969.860 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1548147969.860 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147969.860 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548147969.860 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147969.860 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147969.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.860 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.860 * [misc]taylor: Taking taylor expansion of k in k 1548147969.860 * [misc]backup-simplify: Simplify 0 into 0 1548147969.860 * [misc]backup-simplify: Simplify 1 into 1 1548147969.860 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.861 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.861 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.861 * [misc]backup-simplify: Simplify PI into PI 1548147969.861 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.861 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.861 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.861 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.862 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147969.862 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147969.862 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147969.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548147969.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147969.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147969.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.862 * [misc]taylor: Taking taylor expansion of k in k 1548147969.862 * [misc]backup-simplify: Simplify 0 into 0 1548147969.863 * [misc]backup-simplify: Simplify 1 into 1 1548147969.863 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.863 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.863 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.863 * [misc]backup-simplify: Simplify PI into PI 1548147969.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.863 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.863 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.863 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.864 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147969.864 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147969.864 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1548147969.865 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147969.865 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1548147969.865 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147969.865 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548147969.865 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147969.865 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147969.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.865 * [misc]taylor: Taking taylor expansion of k in k 1548147969.865 * [misc]backup-simplify: Simplify 0 into 0 1548147969.865 * [misc]backup-simplify: Simplify 1 into 1 1548147969.866 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.866 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.866 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.866 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.866 * [misc]backup-simplify: Simplify PI into PI 1548147969.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.866 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.866 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.867 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147969.867 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147969.867 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147969.867 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548147969.867 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147969.867 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147969.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147969.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.867 * [misc]taylor: Taking taylor expansion of k in k 1548147969.867 * [misc]backup-simplify: Simplify 0 into 0 1548147969.867 * [misc]backup-simplify: Simplify 1 into 1 1548147969.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.868 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.868 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.868 * [misc]backup-simplify: Simplify PI into PI 1548147969.868 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.868 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147969.868 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.869 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147969.869 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147969.869 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147969.869 * [misc]backup-simplify: Simplify 0 into 0 1548147969.869 * [misc]backup-simplify: Simplify 0 into 0 1548147969.869 * [misc]backup-simplify: Simplify 0 into 0 1548147969.869 * [misc]backup-simplify: Simplify 0 into 0 1548147969.870 * [misc]backup-simplify: Simplify 0 into 0 1548147969.870 * [misc]backup-simplify: Simplify 0 into 0 1548147969.870 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1548147969.870 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1548147969.870 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1548147969.870 * [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 1548147969.870 * [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 1548147969.870 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1548147969.870 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147969.870 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147969.871 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147969.871 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147969.871 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.871 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147969.871 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.871 * [misc]taylor: Taking taylor expansion of k in n 1548147969.871 * [misc]backup-simplify: Simplify k into k 1548147969.871 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.871 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.871 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.871 * [misc]backup-simplify: Simplify 2 into 2 1548147969.871 * [misc]taylor: Taking taylor expansion of n in n 1548147969.871 * [misc]backup-simplify: Simplify 0 into 0 1548147969.871 * [misc]backup-simplify: Simplify 1 into 1 1548147969.871 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.871 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.872 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.872 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147969.872 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147969.872 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147969.872 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.872 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147969.873 * [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)))) 1548147969.873 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1548147969.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1548147969.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1548147969.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147969.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.873 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147969.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147969.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.873 * [misc]taylor: Taking taylor expansion of k in n 1548147969.873 * [misc]backup-simplify: Simplify k into k 1548147969.873 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147969.873 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.873 * [misc]backup-simplify: Simplify PI into PI 1548147969.874 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.874 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147969.874 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147969.874 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147969.874 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548147969.874 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1548147969.874 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548147969.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147969.875 * [misc]taylor: Taking taylor expansion of k in n 1548147969.875 * [misc]backup-simplify: Simplify k into k 1548147969.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147969.875 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548147969.875 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147969.875 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548147969.875 * [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 1548147969.875 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.875 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.875 * [misc]taylor: Taking taylor expansion of k in k 1548147969.875 * [misc]backup-simplify: Simplify 0 into 0 1548147969.875 * [misc]backup-simplify: Simplify 1 into 1 1548147969.875 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147969.875 * [misc]taylor: Taking taylor expansion of 2 in k 1548147969.875 * [misc]backup-simplify: Simplify 2 into 2 1548147969.875 * [misc]taylor: Taking taylor expansion of n in k 1548147969.875 * [misc]backup-simplify: Simplify n into n 1548147969.876 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147969.876 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147969.876 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.876 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.876 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.876 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147969.876 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147969.876 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548147969.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548147969.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147969.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.877 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.877 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.877 * [misc]taylor: Taking taylor expansion of k in k 1548147969.877 * [misc]backup-simplify: Simplify 0 into 0 1548147969.877 * [misc]backup-simplify: Simplify 1 into 1 1548147969.877 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.877 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.877 * [misc]backup-simplify: Simplify PI into PI 1548147969.877 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.877 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.877 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.877 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.878 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147969.879 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548147969.879 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147969.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.879 * [misc]taylor: Taking taylor expansion of k in k 1548147969.879 * [misc]backup-simplify: Simplify 0 into 0 1548147969.879 * [misc]backup-simplify: Simplify 1 into 1 1548147969.879 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.879 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.880 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147969.880 * [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 1548147969.880 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.880 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.880 * [misc]taylor: Taking taylor expansion of k in k 1548147969.880 * [misc]backup-simplify: Simplify 0 into 0 1548147969.880 * [misc]backup-simplify: Simplify 1 into 1 1548147969.880 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147969.880 * [misc]taylor: Taking taylor expansion of 2 in k 1548147969.880 * [misc]backup-simplify: Simplify 2 into 2 1548147969.880 * [misc]taylor: Taking taylor expansion of n in k 1548147969.880 * [misc]backup-simplify: Simplify n into n 1548147969.880 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147969.880 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147969.880 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.881 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.881 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.881 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147969.881 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147969.881 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548147969.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548147969.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147969.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147969.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.881 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147969.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147969.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147969.881 * [misc]taylor: Taking taylor expansion of k in k 1548147969.881 * [misc]backup-simplify: Simplify 0 into 0 1548147969.881 * [misc]backup-simplify: Simplify 1 into 1 1548147969.881 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147969.881 * [misc]taylor: Taking taylor expansion of PI in k 1548147969.881 * [misc]backup-simplify: Simplify PI into PI 1548147969.882 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.882 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147969.882 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.882 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147969.883 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147969.883 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548147969.883 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147969.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147969.883 * [misc]taylor: Taking taylor expansion of k in k 1548147969.883 * [misc]backup-simplify: Simplify 0 into 0 1548147969.883 * [misc]backup-simplify: Simplify 1 into 1 1548147969.884 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147969.884 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.884 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147969.885 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1548147969.885 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1548147969.885 * [misc]taylor: Taking taylor expansion of 0 in n 1548147969.885 * [misc]backup-simplify: Simplify 0 into 0 1548147969.885 * [misc]backup-simplify: Simplify 0 into 0 1548147969.888 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147969.888 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147969.888 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.888 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548147969.893 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548147969.893 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548147969.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548147969.894 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147969.894 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147969.894 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147969.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548147969.895 * [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)))) 1548147969.896 * [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)))))) 1548147969.898 * [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))))) 1548147969.898 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1548147969.898 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548147969.898 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.898 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.898 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548147969.898 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.898 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.898 * [misc]backup-simplify: Simplify 2 into 2 1548147969.898 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.898 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147969.898 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147969.898 * [misc]taylor: Taking taylor expansion of n in n 1548147969.899 * [misc]backup-simplify: Simplify 0 into 0 1548147969.899 * [misc]backup-simplify: Simplify 1 into 1 1548147969.899 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.899 * [misc]backup-simplify: Simplify PI into PI 1548147969.899 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147969.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147969.900 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.900 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.900 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548147969.901 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.901 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.901 * [misc]backup-simplify: Simplify 0 into 0 1548147969.901 * [misc]backup-simplify: Simplify 0 into 0 1548147969.901 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147969.902 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147969.907 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548147969.907 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147969.907 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.909 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548147969.915 * [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))) 1548147969.915 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548147969.917 * [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 1548147969.917 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147969.917 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.918 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548147969.919 * [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))) 1548147969.922 * [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))))))) 1548147969.926 * [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))))))))) 1548147969.926 * [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 1548147969.926 * [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 1548147969.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548147969.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.926 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.926 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548147969.926 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548147969.926 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.926 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.926 * [misc]backup-simplify: Simplify 2 into 2 1548147969.926 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.927 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147969.927 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.927 * [misc]backup-simplify: Simplify PI into PI 1548147969.927 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.927 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147969.927 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147969.927 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.927 * [misc]backup-simplify: Simplify PI into PI 1548147969.927 * [misc]taylor: Taking taylor expansion of n in n 1548147969.927 * [misc]backup-simplify: Simplify 0 into 0 1548147969.927 * [misc]backup-simplify: Simplify 1 into 1 1548147969.927 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147969.928 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147969.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.929 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.929 * [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 1548147969.929 * [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 1548147969.929 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548147969.929 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.929 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.929 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548147969.929 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.929 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.929 * [misc]backup-simplify: Simplify 2 into 2 1548147969.929 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.929 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.929 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147969.929 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147969.929 * [misc]taylor: Taking taylor expansion of n in n 1548147969.930 * [misc]backup-simplify: Simplify 0 into 0 1548147969.930 * [misc]backup-simplify: Simplify 1 into 1 1548147969.930 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.930 * [misc]backup-simplify: Simplify PI into PI 1548147969.930 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147969.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147969.931 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.931 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.931 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548147969.931 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548147969.931 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.931 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.931 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548147969.931 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548147969.931 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.931 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.931 * [misc]backup-simplify: Simplify 2 into 2 1548147969.931 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.932 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.932 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.932 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.932 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.932 * [misc]backup-simplify: Simplify 2 into 2 1548147969.932 * [misc]taylor: Taking taylor expansion of n in n 1548147969.932 * [misc]backup-simplify: Simplify 0 into 0 1548147969.932 * [misc]backup-simplify: Simplify 1 into 1 1548147969.932 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.932 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.932 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.932 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147969.933 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147969.933 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.933 * [misc]backup-simplify: Simplify PI into PI 1548147969.933 * [misc]taylor: Taking taylor expansion of n in n 1548147969.933 * [misc]backup-simplify: Simplify 0 into 0 1548147969.933 * [misc]backup-simplify: Simplify 1 into 1 1548147969.933 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147969.934 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147969.934 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.934 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.935 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548147969.936 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548147969.936 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.936 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548147969.936 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.937 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548147969.937 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.938 * [misc]backup-simplify: Simplify 0 into 0 1548147969.940 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147969.941 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147969.943 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147969.944 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147969.944 * [misc]backup-simplify: Simplify 0 into 0 1548147969.944 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147969.945 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147969.953 * [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 1548147969.953 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147969.953 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548147969.963 * [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))) 1548147969.963 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1548147969.966 * [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 1548147969.966 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147969.966 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.966 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1548147969.969 * [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))) 1548147969.974 * [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))))))))) 1548147969.980 * [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))))))))))))))) 1548147969.981 * [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 1548147969.981 * [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 1548147969.981 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.981 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.981 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.981 * [misc]backup-simplify: Simplify 2 into 2 1548147969.981 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.981 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.981 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.981 * [misc]backup-simplify: Simplify PI into PI 1548147969.981 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.981 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147969.981 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.981 * [misc]backup-simplify: Simplify PI into PI 1548147969.981 * [misc]taylor: Taking taylor expansion of n in n 1548147969.981 * [misc]backup-simplify: Simplify 0 into 0 1548147969.981 * [misc]backup-simplify: Simplify 1 into 1 1548147969.982 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147969.982 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147969.982 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.982 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.982 * [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 1548147969.982 * [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 1548147969.982 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1548147969.982 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.983 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.983 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.983 * [misc]backup-simplify: Simplify 2 into 2 1548147969.983 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.983 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.983 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.983 * [misc]backup-simplify: Simplify PI into PI 1548147969.983 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.983 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147969.983 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.983 * [misc]backup-simplify: Simplify PI into PI 1548147969.983 * [misc]taylor: Taking taylor expansion of n in n 1548147969.983 * [misc]backup-simplify: Simplify 0 into 0 1548147969.983 * [misc]backup-simplify: Simplify 1 into 1 1548147969.983 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147969.984 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147969.984 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.984 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.984 * [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 1548147969.984 * [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 1548147969.984 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1548147969.984 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.984 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.984 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1548147969.984 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1548147969.984 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.984 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.984 * [misc]backup-simplify: Simplify 2 into 2 1548147969.984 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.985 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.985 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1548147969.985 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.985 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.985 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.985 * [misc]backup-simplify: Simplify 2 into 2 1548147969.985 * [misc]taylor: Taking taylor expansion of n in n 1548147969.985 * [misc]backup-simplify: Simplify 0 into 0 1548147969.985 * [misc]backup-simplify: Simplify 1 into 1 1548147969.985 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.985 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.985 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.985 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.985 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147969.985 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147969.985 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.985 * [misc]backup-simplify: Simplify PI into PI 1548147969.985 * [misc]taylor: Taking taylor expansion of n in n 1548147969.985 * [misc]backup-simplify: Simplify 0 into 0 1548147969.985 * [misc]backup-simplify: Simplify 1 into 1 1548147969.986 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147969.986 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147969.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.986 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.986 * [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 1548147969.986 * [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 1548147969.986 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1548147969.986 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.986 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.986 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1548147969.986 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1548147969.986 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.986 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.987 * [misc]backup-simplify: Simplify 2 into 2 1548147969.987 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.987 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.987 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1548147969.987 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.987 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.987 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.987 * [misc]backup-simplify: Simplify 2 into 2 1548147969.987 * [misc]taylor: Taking taylor expansion of n in n 1548147969.987 * [misc]backup-simplify: Simplify 0 into 0 1548147969.987 * [misc]backup-simplify: Simplify 1 into 1 1548147969.987 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.987 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.987 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.987 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147969.987 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.987 * [misc]backup-simplify: Simplify PI into PI 1548147969.987 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147969.987 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147969.987 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147969.988 * [misc]taylor: Taking taylor expansion of n in n 1548147969.988 * [misc]backup-simplify: Simplify 0 into 0 1548147969.988 * [misc]backup-simplify: Simplify 1 into 1 1548147969.988 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.988 * [misc]backup-simplify: Simplify PI into PI 1548147969.988 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147969.988 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147969.988 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.989 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.989 * [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 1548147969.989 * [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 1548147969.989 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548147969.989 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.989 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.989 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548147969.989 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.989 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.989 * [misc]backup-simplify: Simplify 2 into 2 1548147969.989 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.989 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.989 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147969.989 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147969.989 * [misc]taylor: Taking taylor expansion of n in n 1548147969.989 * [misc]backup-simplify: Simplify 0 into 0 1548147969.989 * [misc]backup-simplify: Simplify 1 into 1 1548147969.989 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.989 * [misc]backup-simplify: Simplify PI into PI 1548147969.989 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147969.990 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147969.990 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.990 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.990 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147969.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147969.990 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.990 * [misc]backup-simplify: Simplify 2 into 2 1548147969.990 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147969.990 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147969.990 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147969.990 * [misc]taylor: Taking taylor expansion of 2 in n 1548147969.990 * [misc]backup-simplify: Simplify 2 into 2 1548147969.990 * [misc]taylor: Taking taylor expansion of n in n 1548147969.990 * [misc]backup-simplify: Simplify 0 into 0 1548147969.990 * [misc]backup-simplify: Simplify 1 into 1 1548147969.991 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147969.991 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147969.991 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147969.991 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147969.991 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147969.991 * [misc]taylor: Taking taylor expansion of PI in n 1548147969.991 * [misc]backup-simplify: Simplify PI into PI 1548147969.991 * [misc]taylor: Taking taylor expansion of n in n 1548147969.991 * [misc]backup-simplify: Simplify 0 into 0 1548147969.991 * [misc]backup-simplify: Simplify 1 into 1 1548147969.991 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147969.991 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147969.992 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147969.992 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147969.992 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548147969.993 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548147969.993 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.993 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1548147969.994 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1548147969.995 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1548147969.995 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.995 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.995 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.996 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1548147969.996 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1548147969.996 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1548147969.997 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.997 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.997 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1548147969.997 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1548147969.998 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1548147969.998 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.998 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548147969.998 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.998 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147969.999 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548147969.999 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548147969.999 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147969.999 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.999 * [misc]backup-simplify: Simplify (- 0) into 0 1548147969.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147969.999 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.000 * [misc]backup-simplify: Simplify 0 into 0 1548147970.002 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147970.002 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1548147970.003 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548147970.005 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548147970.006 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147970.007 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147970.007 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548147970.009 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147970.009 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147970.009 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1548147970.010 * [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)))))) 1548147970.011 * [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)))))) 1548147970.013 * [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)))))) 1548147970.015 * [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))))))) 1548147970.019 * [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))))))) 1548147970.025 * [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))))))))) 1548147970.032 * [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))))))))) 1548147970.038 * [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))))))))) 1548147970.040 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548147970.041 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1548147970.042 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1548147970.045 * [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)))) 1548147970.048 * [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)))) 1548147970.050 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548147970.050 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548147970.056 * [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))))))))))))))) 1548147970.056 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1548147970.056 * [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 1548147970.056 * [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 1548147970.056 * [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 1548147970.056 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.056 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147970.057 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147970.057 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.057 * [misc]taylor: Taking taylor expansion of k in n 1548147970.057 * [misc]backup-simplify: Simplify k into k 1548147970.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.057 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.057 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.057 * [misc]backup-simplify: Simplify PI into PI 1548147970.057 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.057 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.057 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.057 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.058 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147970.058 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.058 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of k in n 1548147970.058 * [misc]backup-simplify: Simplify k into k 1548147970.058 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.058 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.058 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.058 * [misc]backup-simplify: Simplify 2 into 2 1548147970.058 * [misc]taylor: Taking taylor expansion of n in n 1548147970.058 * [misc]backup-simplify: Simplify 0 into 0 1548147970.058 * [misc]backup-simplify: Simplify 1 into 1 1548147970.058 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.059 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.059 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.059 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.059 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.059 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548147970.059 * [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)))) 1548147970.059 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548147970.059 * [misc]taylor: Taking taylor expansion of k in n 1548147970.059 * [misc]backup-simplify: Simplify k into k 1548147970.059 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548147970.060 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548147970.060 * [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 1548147970.060 * [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 1548147970.060 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of k in k 1548147970.060 * [misc]backup-simplify: Simplify 0 into 0 1548147970.060 * [misc]backup-simplify: Simplify 1 into 1 1548147970.060 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.060 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147970.060 * [misc]taylor: Taking taylor expansion of PI in k 1548147970.060 * [misc]backup-simplify: Simplify PI into PI 1548147970.060 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.061 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.061 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.061 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147970.061 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.061 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147970.061 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147970.061 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147970.061 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147970.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.062 * [misc]taylor: Taking taylor expansion of k in k 1548147970.062 * [misc]backup-simplify: Simplify 0 into 0 1548147970.062 * [misc]backup-simplify: Simplify 1 into 1 1548147970.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.062 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147970.062 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147970.062 * [misc]taylor: Taking taylor expansion of 2 in k 1548147970.062 * [misc]backup-simplify: Simplify 2 into 2 1548147970.062 * [misc]taylor: Taking taylor expansion of n in k 1548147970.062 * [misc]backup-simplify: Simplify n into n 1548147970.062 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147970.062 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147970.062 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.062 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.062 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.062 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147970.062 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.062 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147970.062 * [misc]taylor: Taking taylor expansion of k in k 1548147970.062 * [misc]backup-simplify: Simplify 0 into 0 1548147970.062 * [misc]backup-simplify: Simplify 1 into 1 1548147970.063 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.063 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.063 * [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 1548147970.063 * [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 1548147970.063 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of k in k 1548147970.063 * [misc]backup-simplify: Simplify 0 into 0 1548147970.063 * [misc]backup-simplify: Simplify 1 into 1 1548147970.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.063 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147970.063 * [misc]taylor: Taking taylor expansion of PI in k 1548147970.063 * [misc]backup-simplify: Simplify PI into PI 1548147970.063 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.064 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.064 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.064 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.064 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147970.064 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.064 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147970.064 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147970.064 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147970.064 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147970.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.064 * [misc]taylor: Taking taylor expansion of k in k 1548147970.064 * [misc]backup-simplify: Simplify 0 into 0 1548147970.064 * [misc]backup-simplify: Simplify 1 into 1 1548147970.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.065 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147970.065 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147970.065 * [misc]taylor: Taking taylor expansion of 2 in k 1548147970.065 * [misc]backup-simplify: Simplify 2 into 2 1548147970.065 * [misc]taylor: Taking taylor expansion of n in k 1548147970.065 * [misc]backup-simplify: Simplify n into n 1548147970.065 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147970.065 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147970.065 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.065 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.065 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.065 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147970.065 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.065 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147970.065 * [misc]taylor: Taking taylor expansion of k in k 1548147970.065 * [misc]backup-simplify: Simplify 0 into 0 1548147970.065 * [misc]backup-simplify: Simplify 1 into 1 1548147970.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.066 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.066 * [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))))) 1548147970.066 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548147970.066 * [misc]taylor: Taking taylor expansion of 0 in n 1548147970.066 * [misc]backup-simplify: Simplify 0 into 0 1548147970.066 * [misc]backup-simplify: Simplify 0 into 0 1548147970.066 * [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 1548147970.067 * [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))))))) 1548147970.067 * [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 1548147970.067 * [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 1548147970.067 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.067 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.067 * [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 1548147970.067 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of k in n 1548147970.067 * [misc]backup-simplify: Simplify k into k 1548147970.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.067 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.067 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.067 * [misc]backup-simplify: Simplify PI into PI 1548147970.067 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.067 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.067 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.068 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147970.068 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.068 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of k in n 1548147970.068 * [misc]backup-simplify: Simplify k into k 1548147970.068 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.068 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.068 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.068 * [misc]backup-simplify: Simplify 2 into 2 1548147970.068 * [misc]taylor: Taking taylor expansion of n in n 1548147970.068 * [misc]backup-simplify: Simplify 0 into 0 1548147970.068 * [misc]backup-simplify: Simplify 1 into 1 1548147970.068 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.068 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.068 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.069 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.069 * [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))) 1548147970.069 * [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)))) 1548147970.069 * [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))))) 1548147970.070 * [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)))))) 1548147970.070 * [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))))))) 1548147970.070 * [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))))))) 1548147970.070 * [misc]backup-simplify: Simplify 0 into 0 1548147970.071 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147970.071 * [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 1548147970.072 * [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))))))) 1548147970.072 * [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 1548147970.072 * [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 1548147970.072 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.072 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.072 * [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 1548147970.072 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of k in n 1548147970.072 * [misc]backup-simplify: Simplify k into k 1548147970.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.072 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.072 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.072 * [misc]backup-simplify: Simplify PI into PI 1548147970.072 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.073 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.073 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.073 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147970.073 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.073 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.073 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of k in n 1548147970.073 * [misc]backup-simplify: Simplify k into k 1548147970.073 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.073 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.073 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.073 * [misc]backup-simplify: Simplify 2 into 2 1548147970.073 * [misc]taylor: Taking taylor expansion of n in n 1548147970.073 * [misc]backup-simplify: Simplify 0 into 0 1548147970.073 * [misc]backup-simplify: Simplify 1 into 1 1548147970.074 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.074 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.074 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.074 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.074 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.074 * [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))) 1548147970.075 * [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)))) 1548147970.075 * [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))))) 1548147970.075 * [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)))))) 1548147970.075 * [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))))))) 1548147970.076 * [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))))))) 1548147970.076 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548147970.077 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147970.077 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147970.078 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.078 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.078 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548147970.079 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147970.081 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147970.081 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.081 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147970.081 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.081 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.081 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1548147970.082 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147970.082 * [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 1548147970.083 * [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 1548147970.083 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.083 * [misc]backup-simplify: Simplify 0 into 0 1548147970.083 * [misc]backup-simplify: Simplify 0 into 0 1548147970.084 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147970.084 * [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 1548147970.084 * [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))))))) 1548147970.084 * [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 1548147970.085 * [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 1548147970.085 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.085 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.085 * [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 1548147970.085 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of k in n 1548147970.085 * [misc]backup-simplify: Simplify k into k 1548147970.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.085 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.085 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.085 * [misc]backup-simplify: Simplify PI into PI 1548147970.085 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.085 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.085 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.085 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147970.086 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.086 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.086 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of k in n 1548147970.086 * [misc]backup-simplify: Simplify k into k 1548147970.086 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.086 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.086 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.086 * [misc]backup-simplify: Simplify 2 into 2 1548147970.086 * [misc]taylor: Taking taylor expansion of n in n 1548147970.086 * [misc]backup-simplify: Simplify 0 into 0 1548147970.086 * [misc]backup-simplify: Simplify 1 into 1 1548147970.086 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.086 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.086 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.086 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.086 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.087 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.087 * [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))) 1548147970.087 * [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)))) 1548147970.087 * [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))))) 1548147970.088 * [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)))))) 1548147970.088 * [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))))))) 1548147970.088 * [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))))))) 1548147970.089 * [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)))))))) 1548147970.090 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1548147970.090 * [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 1548147970.090 * [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 1548147970.090 * [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 1548147970.090 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of k in n 1548147970.090 * [misc]backup-simplify: Simplify k into k 1548147970.090 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.090 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.090 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.090 * [misc]backup-simplify: Simplify -2 into -2 1548147970.090 * [misc]taylor: Taking taylor expansion of n in n 1548147970.090 * [misc]backup-simplify: Simplify 0 into 0 1548147970.090 * [misc]backup-simplify: Simplify 1 into 1 1548147970.090 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.090 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.090 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.090 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.091 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.091 * [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))) 1548147970.091 * [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)))) 1548147970.091 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.091 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of k in n 1548147970.091 * [misc]backup-simplify: Simplify k into k 1548147970.091 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.091 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.091 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.091 * [misc]backup-simplify: Simplify PI into PI 1548147970.092 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.092 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.092 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.092 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147970.092 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.092 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548147970.092 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548147970.092 * [misc]taylor: Taking taylor expansion of -1 in n 1548147970.092 * [misc]backup-simplify: Simplify -1 into -1 1548147970.092 * [misc]taylor: Taking taylor expansion of k in n 1548147970.092 * [misc]backup-simplify: Simplify k into k 1548147970.092 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548147970.093 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548147970.093 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548147970.093 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548147970.093 * [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))) 1548147970.093 * [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))) 1548147970.093 * [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 1548147970.093 * [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 1548147970.093 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147970.093 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147970.093 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147970.093 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147970.093 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.093 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.093 * [misc]taylor: Taking taylor expansion of k in k 1548147970.093 * [misc]backup-simplify: Simplify 0 into 0 1548147970.093 * [misc]backup-simplify: Simplify 1 into 1 1548147970.094 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.094 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of -2 in k 1548147970.094 * [misc]backup-simplify: Simplify -2 into -2 1548147970.094 * [misc]taylor: Taking taylor expansion of n in k 1548147970.094 * [misc]backup-simplify: Simplify n into n 1548147970.094 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147970.094 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147970.094 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.094 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.094 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147970.094 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.094 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.094 * [misc]taylor: Taking taylor expansion of k in k 1548147970.094 * [misc]backup-simplify: Simplify 0 into 0 1548147970.094 * [misc]backup-simplify: Simplify 1 into 1 1548147970.094 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.095 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147970.095 * [misc]taylor: Taking taylor expansion of PI in k 1548147970.095 * [misc]backup-simplify: Simplify PI into PI 1548147970.095 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.095 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.095 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.095 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147970.095 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.095 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147970.096 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147970.096 * [misc]taylor: Taking taylor expansion of -1 in k 1548147970.096 * [misc]backup-simplify: Simplify -1 into -1 1548147970.096 * [misc]taylor: Taking taylor expansion of k in k 1548147970.096 * [misc]backup-simplify: Simplify 0 into 0 1548147970.096 * [misc]backup-simplify: Simplify 1 into 1 1548147970.096 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147970.096 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.096 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147970.097 * [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))) 1548147970.097 * [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)))) 1548147970.097 * [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 1548147970.097 * [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 1548147970.097 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of k in k 1548147970.097 * [misc]backup-simplify: Simplify 0 into 0 1548147970.097 * [misc]backup-simplify: Simplify 1 into 1 1548147970.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.097 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147970.097 * [misc]taylor: Taking taylor expansion of -2 in k 1548147970.097 * [misc]backup-simplify: Simplify -2 into -2 1548147970.097 * [misc]taylor: Taking taylor expansion of n in k 1548147970.097 * [misc]backup-simplify: Simplify n into n 1548147970.097 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147970.097 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147970.097 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.098 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.098 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147970.098 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.098 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of k in k 1548147970.098 * [misc]backup-simplify: Simplify 0 into 0 1548147970.098 * [misc]backup-simplify: Simplify 1 into 1 1548147970.098 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.098 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147970.098 * [misc]taylor: Taking taylor expansion of PI in k 1548147970.098 * [misc]backup-simplify: Simplify PI into PI 1548147970.098 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.098 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.098 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.099 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147970.099 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.099 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147970.099 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147970.099 * [misc]taylor: Taking taylor expansion of -1 in k 1548147970.099 * [misc]backup-simplify: Simplify -1 into -1 1548147970.099 * [misc]taylor: Taking taylor expansion of k in k 1548147970.099 * [misc]backup-simplify: Simplify 0 into 0 1548147970.099 * [misc]backup-simplify: Simplify 1 into 1 1548147970.099 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147970.099 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.100 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147970.100 * [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))) 1548147970.100 * [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)))) 1548147970.100 * [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 1548147970.100 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.100 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.100 * [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 1548147970.100 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of k in n 1548147970.100 * [misc]backup-simplify: Simplify k into k 1548147970.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.100 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.100 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.100 * [misc]backup-simplify: Simplify -2 into -2 1548147970.100 * [misc]taylor: Taking taylor expansion of n in n 1548147970.100 * [misc]backup-simplify: Simplify 0 into 0 1548147970.101 * [misc]backup-simplify: Simplify 1 into 1 1548147970.101 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.101 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.101 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.101 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.102 * [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))) 1548147970.102 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548147970.102 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.102 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147970.102 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147970.102 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.102 * [misc]taylor: Taking taylor expansion of k in n 1548147970.102 * [misc]backup-simplify: Simplify k into k 1548147970.102 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.102 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.103 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.103 * [misc]backup-simplify: Simplify PI into PI 1548147970.103 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.103 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.103 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.103 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147970.104 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.104 * [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))) 1548147970.105 * [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)))) 1548147970.105 * [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)))) 1548147970.105 * [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 1548147970.106 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548147970.107 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147970.107 * [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))))) 1548147970.107 * [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 1548147970.108 * [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 1548147970.108 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.108 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.108 * [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 1548147970.108 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.108 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of k in n 1548147970.108 * [misc]backup-simplify: Simplify k into k 1548147970.108 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.108 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.108 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.108 * [misc]backup-simplify: Simplify -2 into -2 1548147970.108 * [misc]taylor: Taking taylor expansion of n in n 1548147970.108 * [misc]backup-simplify: Simplify 0 into 0 1548147970.108 * [misc]backup-simplify: Simplify 1 into 1 1548147970.108 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.109 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.109 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.109 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.109 * [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))) 1548147970.110 * [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)))) 1548147970.110 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.110 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of k in n 1548147970.110 * [misc]backup-simplify: Simplify k into k 1548147970.110 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.110 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.110 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.110 * [misc]backup-simplify: Simplify PI into PI 1548147970.111 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.111 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.111 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.111 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147970.112 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.112 * [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))) 1548147970.113 * [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)))) 1548147970.113 * [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))))) 1548147970.114 * [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))))) 1548147970.117 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147970.117 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147970.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.118 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1548147970.119 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147970.119 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548147970.122 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548147970.122 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147970.122 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.122 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.123 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548147970.124 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147970.125 * [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 1548147970.125 * [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 1548147970.125 * [misc]backup-simplify: Simplify 0 into 0 1548147970.126 * [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 1548147970.126 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147970.127 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147970.129 * [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))))) 1548147970.129 * [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 1548147970.129 * [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 1548147970.129 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.129 * [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 1548147970.129 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of k in n 1548147970.129 * [misc]backup-simplify: Simplify k into k 1548147970.129 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.129 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.129 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.129 * [misc]backup-simplify: Simplify -2 into -2 1548147970.129 * [misc]taylor: Taking taylor expansion of n in n 1548147970.129 * [misc]backup-simplify: Simplify 0 into 0 1548147970.130 * [misc]backup-simplify: Simplify 1 into 1 1548147970.130 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.130 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.130 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.130 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.131 * [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))) 1548147970.131 * [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)))) 1548147970.131 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.131 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147970.131 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147970.131 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.131 * [misc]taylor: Taking taylor expansion of k in n 1548147970.131 * [misc]backup-simplify: Simplify k into k 1548147970.131 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.132 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147970.132 * [misc]taylor: Taking taylor expansion of PI in n 1548147970.132 * [misc]backup-simplify: Simplify PI into PI 1548147970.132 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147970.132 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.132 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.132 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147970.133 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.133 * [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))) 1548147970.134 * [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)))) 1548147970.134 * [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))))) 1548147970.135 * [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))))) 1548147970.137 * [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)))))))) 1548147970.137 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1548147970.137 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1548147970.137 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1548147970.137 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1548147970.137 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1548147970.137 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147970.137 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147970.137 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147970.137 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147970.138 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.138 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147970.138 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.138 * [misc]taylor: Taking taylor expansion of k in n 1548147970.138 * [misc]backup-simplify: Simplify k into k 1548147970.138 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147970.138 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147970.138 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.138 * [misc]backup-simplify: Simplify 2 into 2 1548147970.138 * [misc]taylor: Taking taylor expansion of n in n 1548147970.138 * [misc]backup-simplify: Simplify 0 into 0 1548147970.138 * [misc]backup-simplify: Simplify 1 into 1 1548147970.138 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147970.138 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147970.138 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.139 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147970.139 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147970.139 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147970.139 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147970.139 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147970.140 * [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)))) 1548147970.140 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1548147970.140 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548147970.140 * [misc]taylor: Taking taylor expansion of k in n 1548147970.140 * [misc]backup-simplify: Simplify k into k 1548147970.140 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548147970.140 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548147970.140 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.140 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147970.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.141 * [misc]taylor: Taking taylor expansion of k in k 1548147970.141 * [misc]backup-simplify: Simplify 0 into 0 1548147970.141 * [misc]backup-simplify: Simplify 1 into 1 1548147970.141 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147970.141 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147970.141 * [misc]taylor: Taking taylor expansion of 2 in k 1548147970.141 * [misc]backup-simplify: Simplify 2 into 2 1548147970.141 * [misc]taylor: Taking taylor expansion of n in k 1548147970.141 * [misc]backup-simplify: Simplify n into n 1548147970.141 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147970.141 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147970.141 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147970.141 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.141 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.141 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147970.142 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147970.142 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548147970.142 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147970.142 * [misc]taylor: Taking taylor expansion of k in k 1548147970.142 * [misc]backup-simplify: Simplify 0 into 0 1548147970.142 * [misc]backup-simplify: Simplify 1 into 1 1548147970.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.142 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.143 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.143 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.143 * [misc]taylor: Taking taylor expansion of k in k 1548147970.143 * [misc]backup-simplify: Simplify 0 into 0 1548147970.143 * [misc]backup-simplify: Simplify 1 into 1 1548147970.143 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147970.143 * [misc]taylor: Taking taylor expansion of 2 in k 1548147970.143 * [misc]backup-simplify: Simplify 2 into 2 1548147970.143 * [misc]taylor: Taking taylor expansion of n in k 1548147970.143 * [misc]backup-simplify: Simplify n into n 1548147970.143 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147970.143 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147970.143 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147970.144 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.144 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.144 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147970.144 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147970.144 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548147970.144 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147970.144 * [misc]taylor: Taking taylor expansion of k in k 1548147970.144 * [misc]backup-simplify: Simplify 0 into 0 1548147970.144 * [misc]backup-simplify: Simplify 1 into 1 1548147970.144 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.145 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.145 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1548147970.145 * [misc]taylor: Taking taylor expansion of 0 in n 1548147970.145 * [misc]backup-simplify: Simplify 0 into 0 1548147970.145 * [misc]backup-simplify: Simplify 0 into 0 1548147970.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548147970.145 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548147970.146 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147970.146 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.146 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548147970.146 * [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)))) 1548147970.147 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1548147970.147 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1548147970.147 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548147970.147 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548147970.147 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.147 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.147 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548147970.148 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548147970.148 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548147970.148 * [misc]taylor: Taking taylor expansion of n in n 1548147970.148 * [misc]backup-simplify: Simplify 0 into 0 1548147970.148 * [misc]backup-simplify: Simplify 1 into 1 1548147970.148 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.148 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.148 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.148 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548147970.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.148 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548147970.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548147970.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.149 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548147970.150 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548147970.150 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.150 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.151 * [misc]backup-simplify: Simplify 0 into 0 1548147970.151 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147970.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548147970.152 * [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 1548147970.153 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147970.153 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.153 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.153 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548147970.154 * [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))) 1548147970.155 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1548147970.157 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1548147970.157 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.157 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.157 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.157 * [misc]backup-simplify: Simplify 2 into 2 1548147970.157 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147970.157 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147970.157 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147970.157 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.157 * [misc]backup-simplify: Simplify 2 into 2 1548147970.157 * [misc]taylor: Taking taylor expansion of n in n 1548147970.157 * [misc]backup-simplify: Simplify 0 into 0 1548147970.157 * [misc]backup-simplify: Simplify 1 into 1 1548147970.157 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147970.158 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147970.158 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.158 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1548147970.158 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548147970.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.158 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548147970.158 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548147970.158 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548147970.158 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548147970.158 * [misc]taylor: Taking taylor expansion of n in n 1548147970.158 * [misc]backup-simplify: Simplify 0 into 0 1548147970.158 * [misc]backup-simplify: Simplify 1 into 1 1548147970.159 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.159 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.159 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.159 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548147970.159 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548147970.159 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.159 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.159 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548147970.159 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548147970.159 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548147970.159 * [misc]taylor: Taking taylor expansion of n in n 1548147970.159 * [misc]backup-simplify: Simplify 0 into 0 1548147970.159 * [misc]backup-simplify: Simplify 1 into 1 1548147970.159 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.159 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.160 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.160 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548147970.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.160 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548147970.160 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548147970.160 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147970.160 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1548147970.161 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1548147970.162 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1548147970.162 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147970.162 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1548147970.162 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548147970.164 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147970.164 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1548147970.166 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1548147970.166 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548147970.167 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1548147970.169 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548147970.169 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.170 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548147970.170 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548147970.171 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.173 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1548147970.176 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548147970.179 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548147970.181 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1548147970.181 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147970.182 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147970.183 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.185 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.185 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.186 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147970.192 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548147970.192 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1548147970.192 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1548147970.192 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1548147970.192 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147970.192 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.193 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.193 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of k in n 1548147970.193 * [misc]backup-simplify: Simplify k into k 1548147970.193 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.193 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.193 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.193 * [misc]backup-simplify: Simplify 2 into 2 1548147970.193 * [misc]taylor: Taking taylor expansion of n in n 1548147970.193 * [misc]backup-simplify: Simplify 0 into 0 1548147970.193 * [misc]backup-simplify: Simplify 1 into 1 1548147970.193 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.193 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.194 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.194 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.194 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.194 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.195 * [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))) 1548147970.195 * [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)))) 1548147970.195 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.195 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548147970.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.195 * [misc]taylor: Taking taylor expansion of k in n 1548147970.195 * [misc]backup-simplify: Simplify k into k 1548147970.196 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.196 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548147970.196 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.196 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548147970.196 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of k in k 1548147970.196 * [misc]backup-simplify: Simplify 0 into 0 1548147970.196 * [misc]backup-simplify: Simplify 1 into 1 1548147970.196 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.196 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147970.196 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147970.197 * [misc]taylor: Taking taylor expansion of 2 in k 1548147970.197 * [misc]backup-simplify: Simplify 2 into 2 1548147970.197 * [misc]taylor: Taking taylor expansion of n in k 1548147970.197 * [misc]backup-simplify: Simplify n into n 1548147970.197 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147970.197 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147970.197 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.197 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.197 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.197 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147970.197 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.198 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548147970.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147970.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.198 * [misc]taylor: Taking taylor expansion of k in k 1548147970.198 * [misc]backup-simplify: Simplify 0 into 0 1548147970.198 * [misc]backup-simplify: Simplify 1 into 1 1548147970.198 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.198 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.199 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.199 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.199 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.199 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of k in k 1548147970.199 * [misc]backup-simplify: Simplify 0 into 0 1548147970.199 * [misc]backup-simplify: Simplify 1 into 1 1548147970.199 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.199 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147970.199 * [misc]taylor: Taking taylor expansion of 2 in k 1548147970.199 * [misc]backup-simplify: Simplify 2 into 2 1548147970.199 * [misc]taylor: Taking taylor expansion of n in k 1548147970.200 * [misc]backup-simplify: Simplify n into n 1548147970.200 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147970.200 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147970.200 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.200 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147970.200 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147970.200 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147970.200 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147970.201 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548147970.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147970.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.201 * [misc]taylor: Taking taylor expansion of k in k 1548147970.201 * [misc]backup-simplify: Simplify 0 into 0 1548147970.201 * [misc]backup-simplify: Simplify 1 into 1 1548147970.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.201 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.201 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147970.202 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548147970.202 * [misc]taylor: Taking taylor expansion of 0 in n 1548147970.202 * [misc]backup-simplify: Simplify 0 into 0 1548147970.202 * [misc]backup-simplify: Simplify 0 into 0 1548147970.202 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548147970.203 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548147970.203 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.203 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.203 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.203 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.203 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of k in n 1548147970.203 * [misc]backup-simplify: Simplify k into k 1548147970.203 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.203 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.203 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.203 * [misc]backup-simplify: Simplify 2 into 2 1548147970.203 * [misc]taylor: Taking taylor expansion of n in n 1548147970.203 * [misc]backup-simplify: Simplify 0 into 0 1548147970.203 * [misc]backup-simplify: Simplify 1 into 1 1548147970.203 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.204 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.204 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.204 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.204 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.204 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.205 * [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))) 1548147970.205 * [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)))) 1548147970.205 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.206 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.206 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147970.206 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147970.206 * [misc]backup-simplify: Simplify 0 into 0 1548147970.207 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147970.208 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147970.208 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548147970.209 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548147970.209 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.209 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.209 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of k in n 1548147970.209 * [misc]backup-simplify: Simplify k into k 1548147970.209 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.209 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.209 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.209 * [misc]backup-simplify: Simplify 2 into 2 1548147970.209 * [misc]taylor: Taking taylor expansion of n in n 1548147970.209 * [misc]backup-simplify: Simplify 0 into 0 1548147970.209 * [misc]backup-simplify: Simplify 1 into 1 1548147970.210 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.210 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.210 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.210 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.210 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.211 * [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))) 1548147970.211 * [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)))) 1548147970.212 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.212 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.212 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147970.213 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147970.213 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548147970.215 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147970.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147970.216 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.217 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548147970.218 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147970.219 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1548147970.220 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1548147970.220 * [misc]backup-simplify: Simplify (- 0) into 0 1548147970.220 * [misc]backup-simplify: Simplify 0 into 0 1548147970.220 * [misc]backup-simplify: Simplify 0 into 0 1548147970.220 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147970.221 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147970.222 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548147970.222 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548147970.223 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.223 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.223 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.223 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of k in n 1548147970.223 * [misc]backup-simplify: Simplify k into k 1548147970.223 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.223 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147970.223 * [misc]taylor: Taking taylor expansion of 2 in n 1548147970.223 * [misc]backup-simplify: Simplify 2 into 2 1548147970.223 * [misc]taylor: Taking taylor expansion of n in n 1548147970.223 * [misc]backup-simplify: Simplify 0 into 0 1548147970.223 * [misc]backup-simplify: Simplify 1 into 1 1548147970.223 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147970.224 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147970.224 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.224 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147970.224 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147970.224 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147970.225 * [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))) 1548147970.225 * [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)))) 1548147970.225 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.226 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147970.226 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147970.226 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147970.228 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548147970.228 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548147970.228 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1548147970.228 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147970.228 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548147970.228 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548147970.228 * [misc]taylor: Taking taylor expansion of -1 in n 1548147970.228 * [misc]backup-simplify: Simplify -1 into -1 1548147970.228 * [misc]taylor: Taking taylor expansion of k in n 1548147970.228 * [misc]backup-simplify: Simplify k into k 1548147970.228 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548147970.229 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548147970.229 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548147970.229 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548147970.229 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.229 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of k in n 1548147970.229 * [misc]backup-simplify: Simplify k into k 1548147970.229 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.229 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.229 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.229 * [misc]backup-simplify: Simplify -2 into -2 1548147970.229 * [misc]taylor: Taking taylor expansion of n in n 1548147970.229 * [misc]backup-simplify: Simplify 0 into 0 1548147970.229 * [misc]backup-simplify: Simplify 1 into 1 1548147970.230 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.230 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.230 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.230 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.230 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.231 * [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))) 1548147970.231 * [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)))) 1548147970.231 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.231 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548147970.231 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147970.231 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147970.231 * [misc]taylor: Taking taylor expansion of -1 in k 1548147970.231 * [misc]backup-simplify: Simplify -1 into -1 1548147970.231 * [misc]taylor: Taking taylor expansion of k in k 1548147970.231 * [misc]backup-simplify: Simplify 0 into 0 1548147970.232 * [misc]backup-simplify: Simplify 1 into 1 1548147970.232 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147970.232 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.232 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147970.232 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147970.232 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147970.232 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147970.232 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147970.232 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of k in k 1548147970.233 * [misc]backup-simplify: Simplify 0 into 0 1548147970.233 * [misc]backup-simplify: Simplify 1 into 1 1548147970.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.233 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of -2 in k 1548147970.233 * [misc]backup-simplify: Simplify -2 into -2 1548147970.233 * [misc]taylor: Taking taylor expansion of n in k 1548147970.233 * [misc]backup-simplify: Simplify n into n 1548147970.233 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147970.233 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147970.233 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.233 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.233 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147970.233 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.233 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548147970.233 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147970.233 * [misc]taylor: Taking taylor expansion of -1 in k 1548147970.234 * [misc]backup-simplify: Simplify -1 into -1 1548147970.234 * [misc]taylor: Taking taylor expansion of k in k 1548147970.234 * [misc]backup-simplify: Simplify 0 into 0 1548147970.234 * [misc]backup-simplify: Simplify 1 into 1 1548147970.234 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147970.234 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147970.234 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147970.234 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of k in k 1548147970.234 * [misc]backup-simplify: Simplify 0 into 0 1548147970.234 * [misc]backup-simplify: Simplify 1 into 1 1548147970.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147970.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147970.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.234 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147970.234 * [misc]taylor: Taking taylor expansion of -2 in k 1548147970.234 * [misc]backup-simplify: Simplify -2 into -2 1548147970.234 * [misc]taylor: Taking taylor expansion of n in k 1548147970.234 * [misc]backup-simplify: Simplify n into n 1548147970.235 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147970.235 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147970.235 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147970.235 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147970.235 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147970.235 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147970.235 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548147970.235 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.235 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.235 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of k in n 1548147970.235 * [misc]backup-simplify: Simplify k into k 1548147970.235 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.235 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.235 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.235 * [misc]backup-simplify: Simplify -2 into -2 1548147970.235 * [misc]taylor: Taking taylor expansion of n in n 1548147970.235 * [misc]backup-simplify: Simplify 0 into 0 1548147970.236 * [misc]backup-simplify: Simplify 1 into 1 1548147970.236 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.236 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.236 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.236 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.236 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.236 * [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))) 1548147970.236 * [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)))) 1548147970.237 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.237 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.237 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548147970.238 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147970.238 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548147970.238 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.238 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.238 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of k in n 1548147970.238 * [misc]backup-simplify: Simplify k into k 1548147970.238 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.238 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.238 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.238 * [misc]backup-simplify: Simplify -2 into -2 1548147970.239 * [misc]taylor: Taking taylor expansion of n in n 1548147970.239 * [misc]backup-simplify: Simplify 0 into 0 1548147970.239 * [misc]backup-simplify: Simplify 1 into 1 1548147970.239 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.239 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.239 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.239 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.239 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.239 * [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))) 1548147970.239 * [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)))) 1548147970.240 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.240 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.240 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147970.240 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147970.241 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548147970.242 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548147970.242 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147970.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147970.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147970.243 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.243 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548147970.244 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147970.244 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1548147970.244 * [misc]backup-simplify: Simplify 0 into 0 1548147970.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147970.245 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147970.246 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548147970.246 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147970.246 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147970.246 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of k in n 1548147970.246 * [misc]backup-simplify: Simplify k into k 1548147970.246 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147970.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147970.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147970.246 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147970.246 * [misc]taylor: Taking taylor expansion of -2 in n 1548147970.246 * [misc]backup-simplify: Simplify -2 into -2 1548147970.246 * [misc]taylor: Taking taylor expansion of n in n 1548147970.246 * [misc]backup-simplify: Simplify 0 into 0 1548147970.246 * [misc]backup-simplify: Simplify 1 into 1 1548147970.246 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147970.246 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147970.246 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147970.246 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147970.247 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147970.247 * [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))) 1548147970.247 * [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)))) 1548147970.247 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.248 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147970.248 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147970.248 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147970.249 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548147970.249 * * * [misc]progress: simplifying candidates 1548147970.249 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1548147970.249 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1548147970.250 * * [misc]simplify: iters left: 6 (9 enodes) 1548147970.251 * * [misc]simplify: iters left: 5 (16 enodes) 1548147970.254 * * [misc]simplify: iters left: 4 (32 enodes) 1548147970.260 * * [misc]simplify: iters left: 3 (68 enodes) 1548147970.281 * * [misc]simplify: iters left: 2 (171 enodes) 1548147970.323 * * [misc]simplify: iters left: 1 (342 enodes) 1548147970.454 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1548147970.454 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1548147970.454 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1548147970.454 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1548147970.454 * [enter]simplify: Simplifying (* n 2) 1548147970.454 * * [misc]simplify: iters left: 2 (3 enodes) 1548147970.455 * * [misc]simplify: iters left: 1 (4 enodes) 1548147970.456 * [exit]simplify: Simplified to (* n 2) 1548147970.456 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1548147970.456 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1548147970.457 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548147970.457 * * [misc]simplify: iters left: 3 (6 enodes) 1548147970.458 * * [misc]simplify: iters left: 2 (7 enodes) 1548147970.460 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548147970.460 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1548147970.460 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1548147970.461 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548147970.461 * * [misc]simplify: iters left: 5 (6 enodes) 1548147970.462 * * [misc]simplify: iters left: 4 (8 enodes) 1548147970.465 * * [misc]simplify: iters left: 3 (11 enodes) 1548147970.468 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548147970.468 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1548147970.468 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1548147970.468 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548147970.468 * * [misc]simplify: iters left: 5 (6 enodes) 1548147970.470 * * [misc]simplify: iters left: 4 (8 enodes) 1548147970.472 * * [misc]simplify: iters left: 3 (11 enodes) 1548147970.475 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548147970.475 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1548147970.475 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1548147970.475 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548147970.475 * * [misc]simplify: iters left: 4 (5 enodes) 1548147970.477 * * [misc]simplify: iters left: 3 (7 enodes) 1548147970.479 * * [misc]simplify: iters left: 2 (10 enodes) 1548147970.481 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548147970.481 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1548147970.481 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1548147970.482 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548147970.482 * * [misc]simplify: iters left: 5 (7 enodes) 1548147970.484 * * [misc]simplify: iters left: 4 (10 enodes) 1548147970.486 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548147970.487 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548147970.487 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1548147970.487 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548147970.487 * * [misc]simplify: iters left: 5 (7 enodes) 1548147970.489 * * [misc]simplify: iters left: 4 (10 enodes) 1548147970.492 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548147970.492 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548147970.492 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1548147970.492 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1548147970.492 * * [misc]simplify: iters left: 5 (7 enodes) 1548147970.494 * * [misc]simplify: iters left: 4 (9 enodes) 1548147970.496 * * [misc]simplify: iters left: 3 (12 enodes) 1548147970.499 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548147970.499 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1548147970.500 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1548147970.500 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1548147970.500 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1548147970.501 * * [misc]simplify: iters left: 3 (5 enodes) 1548147970.502 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1548147970.502 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.502 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1548147970.503 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548147970.503 * * [misc]simplify: iters left: 5 (6 enodes) 1548147970.504 * * [misc]simplify: iters left: 4 (8 enodes) 1548147970.507 * * [misc]simplify: iters left: 3 (11 enodes) 1548147970.509 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548147970.509 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.509 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1548147970.510 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548147970.510 * * [misc]simplify: iters left: 5 (6 enodes) 1548147970.511 * * [misc]simplify: iters left: 4 (8 enodes) 1548147970.514 * * [misc]simplify: iters left: 3 (11 enodes) 1548147970.516 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548147970.516 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.516 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1548147970.517 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548147970.517 * * [misc]simplify: iters left: 4 (5 enodes) 1548147970.518 * * [misc]simplify: iters left: 3 (7 enodes) 1548147970.520 * * [misc]simplify: iters left: 2 (10 enodes) 1548147970.522 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548147970.523 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.523 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1548147970.523 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548147970.523 * * [misc]simplify: iters left: 5 (6 enodes) 1548147970.525 * * [misc]simplify: iters left: 4 (8 enodes) 1548147970.527 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548147970.527 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.527 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1548147970.527 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548147970.527 * * [misc]simplify: iters left: 5 (6 enodes) 1548147970.529 * * [misc]simplify: iters left: 4 (8 enodes) 1548147970.531 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548147970.531 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.531 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1548147970.531 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1548147970.531 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1548147970.531 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1548147970.532 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1548147970.532 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1548147970.532 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1548147970.532 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1548147970.532 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1548147970.532 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548147970.532 * * [misc]simplify: iters left: 6 (16 enodes) 1548147970.538 * * [misc]simplify: iters left: 5 (30 enodes) 1548147970.547 * * [misc]simplify: iters left: 4 (66 enodes) 1548147970.575 * * [misc]simplify: iters left: 3 (209 enodes) 1548147970.701 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1548147970.701 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1548147970.701 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1548147970.702 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548147970.702 * * [misc]simplify: iters left: 6 (16 enodes) 1548147970.707 * * [misc]simplify: iters left: 5 (30 enodes) 1548147970.720 * * [misc]simplify: iters left: 4 (66 enodes) 1548147970.748 * * [misc]simplify: iters left: 3 (209 enodes) 1548147970.837 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1548147970.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1548147970.837 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1548147970.838 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147970.838 * * [misc]simplify: iters left: 6 (16 enodes) 1548147970.840 * * [misc]simplify: iters left: 5 (28 enodes) 1548147970.845 * * [misc]simplify: iters left: 4 (54 enodes) 1548147970.856 * * [misc]simplify: iters left: 3 (132 enodes) 1548147970.920 * * [misc]simplify: iters left: 2 (467 enodes) 1548147971.269 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1548147971.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1548147971.270 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1548147971.270 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147971.270 * * [misc]simplify: iters left: 6 (15 enodes) 1548147971.275 * * [misc]simplify: iters left: 5 (24 enodes) 1548147971.281 * * [misc]simplify: iters left: 4 (40 enodes) 1548147971.295 * * [misc]simplify: iters left: 3 (81 enodes) 1548147971.320 * * [misc]simplify: iters left: 2 (186 enodes) 1548147971.445 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1548147971.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1548147971.445 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1548147971.445 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548147971.445 * * [misc]simplify: iters left: 6 (16 enodes) 1548147971.451 * * [misc]simplify: iters left: 5 (31 enodes) 1548147971.456 * * [misc]simplify: iters left: 4 (62 enodes) 1548147971.471 * * [misc]simplify: iters left: 3 (183 enodes) 1548147971.566 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1548147971.566 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1548147971.566 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1548147971.567 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548147971.567 * * [misc]simplify: iters left: 6 (16 enodes) 1548147971.572 * * [misc]simplify: iters left: 5 (31 enodes) 1548147971.577 * * [misc]simplify: iters left: 4 (62 enodes) 1548147971.590 * * [misc]simplify: iters left: 3 (183 enodes) 1548147971.666 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1548147971.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1548147971.666 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1548147971.666 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147971.666 * * [misc]simplify: iters left: 6 (16 enodes) 1548147971.669 * * [misc]simplify: iters left: 5 (29 enodes) 1548147971.673 * * [misc]simplify: iters left: 4 (50 enodes) 1548147971.681 * * [misc]simplify: iters left: 3 (106 enodes) 1548147971.741 * * [misc]simplify: iters left: 2 (416 enodes) 1548147972.063 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1548147972.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1548147972.063 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1548147972.064 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147972.064 * * [misc]simplify: iters left: 6 (15 enodes) 1548147972.068 * * [misc]simplify: iters left: 5 (25 enodes) 1548147972.075 * * [misc]simplify: iters left: 4 (36 enodes) 1548147972.086 * * [misc]simplify: iters left: 3 (59 enodes) 1548147972.113 * * [misc]simplify: iters left: 2 (151 enodes) 1548147972.184 * * [misc]simplify: iters left: 1 (498 enodes) 1548147972.550 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1548147972.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1548147972.550 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1548147972.550 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1548147972.550 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1548147972.551 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147972.551 * * [misc]simplify: iters left: 6 (19 enodes) 1548147972.563 * * [misc]simplify: iters left: 5 (36 enodes) 1548147972.576 * * [misc]simplify: iters left: 4 (112 enodes) 1548147972.634 * * [misc]simplify: iters left: 3 (434 enodes) 1548147973.027 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1548147973.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1548147973.027 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1548147973.027 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.027 * * [misc]simplify: iters left: 6 (17 enodes) 1548147973.030 * * [misc]simplify: iters left: 5 (35 enodes) 1548147973.036 * * [misc]simplify: iters left: 4 (92 enodes) 1548147973.059 * * [misc]simplify: iters left: 3 (254 enodes) 1548147973.231 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.231 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1548147973.232 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1548147973.232 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1548147973.232 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1548147973.232 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1548147973.232 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147973.232 * * [misc]simplify: iters left: 6 (15 enodes) 1548147973.237 * * [misc]simplify: iters left: 5 (21 enodes) 1548147973.242 * * [misc]simplify: iters left: 4 (24 enodes) 1548147973.249 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.249 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.249 * * [misc]simplify: iters left: 6 (15 enodes) 1548147973.251 * * [misc]simplify: iters left: 5 (19 enodes) 1548147973.253 * * [misc]simplify: iters left: 4 (20 enodes) 1548147973.256 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.256 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1548147973.256 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.256 * * [misc]simplify: iters left: 6 (14 enodes) 1548147973.258 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.260 * * [misc]simplify: iters left: 4 (21 enodes) 1548147973.263 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.263 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.263 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.263 * * [misc]simplify: iters left: 6 (15 enodes) 1548147973.267 * * [misc]simplify: iters left: 5 (19 enodes) 1548147973.269 * * [misc]simplify: iters left: 4 (20 enodes) 1548147973.272 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.272 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1548147973.272 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147973.272 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.275 * * [misc]simplify: iters left: 5 (20 enodes) 1548147973.277 * * [misc]simplify: iters left: 4 (27 enodes) 1548147973.281 * * [misc]simplify: iters left: 3 (39 enodes) 1548147973.291 * * [misc]simplify: iters left: 2 (44 enodes) 1548147973.301 * * [misc]simplify: iters left: 1 (51 enodes) 1548147973.313 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548147973.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147973.313 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147973.313 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.317 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.322 * * [misc]simplify: iters left: 4 (21 enodes) 1548147973.328 * * [misc]simplify: iters left: 3 (23 enodes) 1548147973.334 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548147973.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548147973.334 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1548147973.334 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147973.334 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.336 * * [misc]simplify: iters left: 5 (20 enodes) 1548147973.338 * * [misc]simplify: iters left: 4 (27 enodes) 1548147973.342 * * [misc]simplify: iters left: 3 (39 enodes) 1548147973.347 * * [misc]simplify: iters left: 2 (44 enodes) 1548147973.351 * * [misc]simplify: iters left: 1 (51 enodes) 1548147973.357 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548147973.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147973.358 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147973.358 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.359 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.362 * * [misc]simplify: iters left: 4 (21 enodes) 1548147973.366 * * [misc]simplify: iters left: 3 (23 enodes) 1548147973.372 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548147973.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548147973.372 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1548147973.372 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147973.372 * * [misc]simplify: iters left: 6 (14 enodes) 1548147973.377 * * [misc]simplify: iters left: 5 (21 enodes) 1548147973.383 * * [misc]simplify: iters left: 4 (31 enodes) 1548147973.392 * * [misc]simplify: iters left: 3 (43 enodes) 1548147973.402 * * [misc]simplify: iters left: 2 (48 enodes) 1548147973.413 * * [misc]simplify: iters left: 1 (55 enodes) 1548147973.426 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1548147973.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147973.426 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147973.427 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.430 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.435 * * [misc]simplify: iters left: 4 (22 enodes) 1548147973.441 * * [misc]simplify: iters left: 3 (24 enodes) 1548147973.447 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548147973.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548147973.447 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1548147973.447 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147973.448 * * [misc]simplify: iters left: 6 (17 enodes) 1548147973.452 * * [misc]simplify: iters left: 5 (29 enodes) 1548147973.461 * * [misc]simplify: iters left: 4 (50 enodes) 1548147973.475 * * [misc]simplify: iters left: 3 (73 enodes) 1548147973.496 * * [misc]simplify: iters left: 2 (103 enodes) 1548147973.527 * * [misc]simplify: iters left: 1 (127 enodes) 1548147973.547 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548147973.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.548 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.548 * * [misc]simplify: iters left: 6 (16 enodes) 1548147973.550 * * [misc]simplify: iters left: 5 (22 enodes) 1548147973.553 * * [misc]simplify: iters left: 4 (26 enodes) 1548147973.556 * * [misc]simplify: iters left: 3 (28 enodes) 1548147973.564 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147973.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147973.564 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1548147973.564 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.564 * * [misc]simplify: iters left: 6 (16 enodes) 1548147973.569 * * [misc]simplify: iters left: 5 (24 enodes) 1548147973.576 * * [misc]simplify: iters left: 4 (34 enodes) 1548147973.584 * * [misc]simplify: iters left: 3 (46 enodes) 1548147973.596 * * [misc]simplify: iters left: 2 (51 enodes) 1548147973.609 * * [misc]simplify: iters left: 1 (58 enodes) 1548147973.623 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1548147973.623 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.623 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.623 * * [misc]simplify: iters left: 6 (16 enodes) 1548147973.628 * * [misc]simplify: iters left: 5 (22 enodes) 1548147973.633 * * [misc]simplify: iters left: 4 (26 enodes) 1548147973.640 * * [misc]simplify: iters left: 3 (28 enodes) 1548147973.647 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147973.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147973.647 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1548147973.647 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147973.648 * * [misc]simplify: iters left: 6 (10 enodes) 1548147973.651 * * [misc]simplify: iters left: 5 (17 enodes) 1548147973.656 * * [misc]simplify: iters left: 4 (28 enodes) 1548147973.663 * * [misc]simplify: iters left: 3 (33 enodes) 1548147973.670 * * [misc]simplify: iters left: 2 (50 enodes) 1548147973.682 * * [misc]simplify: iters left: 1 (65 enodes) 1548147973.690 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147973.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147973.690 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147973.690 * * [misc]simplify: iters left: 6 (15 enodes) 1548147973.692 * * [misc]simplify: iters left: 5 (21 enodes) 1548147973.695 * * [misc]simplify: iters left: 4 (25 enodes) 1548147973.698 * * [misc]simplify: iters left: 3 (27 enodes) 1548147973.701 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1548147973.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1548147973.701 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1548147973.702 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147973.702 * * [misc]simplify: iters left: 6 (12 enodes) 1548147973.703 * * [misc]simplify: iters left: 5 (17 enodes) 1548147973.705 * * [misc]simplify: iters left: 4 (20 enodes) 1548147973.708 * * [misc]simplify: iters left: 3 (22 enodes) 1548147973.710 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548147973.710 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147973.710 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147973.710 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.712 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.719 * * [misc]simplify: iters left: 4 (21 enodes) 1548147973.724 * * [misc]simplify: iters left: 3 (23 enodes) 1548147973.730 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548147973.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548147973.730 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1548147973.730 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147973.730 * * [misc]simplify: iters left: 6 (12 enodes) 1548147973.733 * * [misc]simplify: iters left: 5 (17 enodes) 1548147973.738 * * [misc]simplify: iters left: 4 (20 enodes) 1548147973.742 * * [misc]simplify: iters left: 3 (22 enodes) 1548147973.747 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548147973.748 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147973.748 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147973.748 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.752 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.757 * * [misc]simplify: iters left: 4 (21 enodes) 1548147973.762 * * [misc]simplify: iters left: 3 (23 enodes) 1548147973.769 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548147973.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548147973.769 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1548147973.769 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147973.769 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.773 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.777 * * [misc]simplify: iters left: 4 (24 enodes) 1548147973.780 * * [misc]simplify: iters left: 3 (26 enodes) 1548147973.783 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548147973.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147973.784 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147973.784 * * [misc]simplify: iters left: 6 (13 enodes) 1548147973.785 * * [misc]simplify: iters left: 5 (18 enodes) 1548147973.788 * * [misc]simplify: iters left: 4 (22 enodes) 1548147973.791 * * [misc]simplify: iters left: 3 (24 enodes) 1548147973.793 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548147973.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548147973.794 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1548147973.794 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147973.794 * * [misc]simplify: iters left: 6 (16 enodes) 1548147973.796 * * [misc]simplify: iters left: 5 (24 enodes) 1548147973.799 * * [misc]simplify: iters left: 4 (32 enodes) 1548147973.803 * * [misc]simplify: iters left: 3 (41 enodes) 1548147973.813 * * [misc]simplify: iters left: 2 (49 enodes) 1548147973.824 * * [misc]simplify: iters left: 1 (51 enodes) 1548147973.839 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147973.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.839 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.839 * * [misc]simplify: iters left: 6 (16 enodes) 1548147973.844 * * [misc]simplify: iters left: 5 (22 enodes) 1548147973.849 * * [misc]simplify: iters left: 4 (26 enodes) 1548147973.857 * * [misc]simplify: iters left: 3 (28 enodes) 1548147973.864 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147973.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147973.864 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1548147973.864 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.865 * * [misc]simplify: iters left: 6 (15 enodes) 1548147973.869 * * [misc]simplify: iters left: 5 (21 enodes) 1548147973.875 * * [misc]simplify: iters left: 4 (27 enodes) 1548147973.882 * * [misc]simplify: iters left: 3 (29 enodes) 1548147973.888 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147973.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147973.889 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147973.889 * * [misc]simplify: iters left: 6 (16 enodes) 1548147973.893 * * [misc]simplify: iters left: 5 (22 enodes) 1548147973.899 * * [misc]simplify: iters left: 4 (26 enodes) 1548147973.906 * * [misc]simplify: iters left: 3 (28 enodes) 1548147973.913 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147973.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147973.913 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1548147973.913 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1548147973.913 * * [misc]simplify: iters left: 6 (9 enodes) 1548147973.916 * * [misc]simplify: iters left: 5 (14 enodes) 1548147973.920 * * [misc]simplify: iters left: 4 (21 enodes) 1548147973.924 * * [misc]simplify: iters left: 3 (23 enodes) 1548147973.927 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548147973.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147973.927 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147973.927 * * [misc]simplify: iters left: 6 (15 enodes) 1548147973.929 * * [misc]simplify: iters left: 5 (21 enodes) 1548147973.932 * * [misc]simplify: iters left: 4 (25 enodes) 1548147973.935 * * [misc]simplify: iters left: 3 (27 enodes) 1548147973.938 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1548147973.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1548147973.938 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1548147973.938 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548147973.938 * * [misc]simplify: iters left: 6 (10 enodes) 1548147973.940 * * [misc]simplify: iters left: 5 (17 enodes) 1548147973.941 * * [misc]simplify: iters left: 4 (19 enodes) 1548147973.944 * * [misc]simplify: iters left: 3 (28 enodes) 1548147973.947 * * [misc]simplify: iters left: 2 (31 enodes) 1548147973.951 * * [misc]simplify: iters left: 1 (33 enodes) 1548147973.958 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548147973.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147973.959 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147973.959 * * [misc]simplify: iters left: 6 (12 enodes) 1548147973.962 * * [misc]simplify: iters left: 5 (17 enodes) 1548147973.967 * * [misc]simplify: iters left: 4 (20 enodes) 1548147973.972 * * [misc]simplify: iters left: 3 (22 enodes) 1548147973.977 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147973.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147973.978 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1548147973.978 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548147973.978 * * [misc]simplify: iters left: 6 (10 enodes) 1548147973.981 * * [misc]simplify: iters left: 5 (17 enodes) 1548147973.985 * * [misc]simplify: iters left: 4 (19 enodes) 1548147973.990 * * [misc]simplify: iters left: 3 (28 enodes) 1548147973.993 * * [misc]simplify: iters left: 2 (31 enodes) 1548147973.996 * * [misc]simplify: iters left: 1 (33 enodes) 1548147974.000 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548147974.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147974.000 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147974.000 * * [misc]simplify: iters left: 6 (12 enodes) 1548147974.002 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.004 * * [misc]simplify: iters left: 4 (20 enodes) 1548147974.006 * * [misc]simplify: iters left: 3 (22 enodes) 1548147974.009 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147974.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147974.009 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1548147974.010 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147974.010 * * [misc]simplify: iters left: 6 (12 enodes) 1548147974.011 * * [misc]simplify: iters left: 5 (19 enodes) 1548147974.014 * * [misc]simplify: iters left: 4 (24 enodes) 1548147974.018 * * [misc]simplify: iters left: 3 (33 enodes) 1548147974.027 * * [misc]simplify: iters left: 2 (36 enodes) 1548147974.034 * * [misc]simplify: iters left: 1 (39 enodes) 1548147974.043 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1548147974.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147974.043 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147974.043 * * [misc]simplify: iters left: 6 (12 enodes) 1548147974.045 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.048 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.050 * * [misc]simplify: iters left: 3 (23 enodes) 1548147974.053 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147974.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548147974.053 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1548147974.053 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.053 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.055 * * [misc]simplify: iters left: 5 (25 enodes) 1548147974.059 * * [misc]simplify: iters left: 4 (32 enodes) 1548147974.064 * * [misc]simplify: iters left: 3 (47 enodes) 1548147974.070 * * [misc]simplify: iters left: 2 (62 enodes) 1548147974.083 * * [misc]simplify: iters left: 1 (76 enodes) 1548147974.105 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1548147974.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.106 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.106 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.110 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.116 * * [misc]simplify: iters left: 4 (25 enodes) 1548147974.122 * * [misc]simplify: iters left: 3 (27 enodes) 1548147974.128 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548147974.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548147974.129 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1548147974.129 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.129 * * [misc]simplify: iters left: 6 (14 enodes) 1548147974.133 * * [misc]simplify: iters left: 5 (22 enodes) 1548147974.139 * * [misc]simplify: iters left: 4 (27 enodes) 1548147974.146 * * [misc]simplify: iters left: 3 (36 enodes) 1548147974.154 * * [misc]simplify: iters left: 2 (39 enodes) 1548147974.159 * * [misc]simplify: iters left: 1 (42 enodes) 1548147974.164 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1548147974.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.164 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.165 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.167 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.169 * * [misc]simplify: iters left: 4 (25 enodes) 1548147974.174 * * [misc]simplify: iters left: 3 (27 enodes) 1548147974.178 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548147974.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548147974.178 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1548147974.178 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1548147974.178 * * [misc]simplify: iters left: 4 (6 enodes) 1548147974.179 * * [misc]simplify: iters left: 3 (9 enodes) 1548147974.180 * [exit]simplify: Simplified to (sqrt PI) 1548147974.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.180 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.180 * * [misc]simplify: iters left: 6 (14 enodes) 1548147974.182 * * [misc]simplify: iters left: 5 (20 enodes) 1548147974.186 * * [misc]simplify: iters left: 4 (24 enodes) 1548147974.193 * * [misc]simplify: iters left: 3 (26 enodes) 1548147974.200 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.200 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.200 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1548147974.200 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548147974.200 * * [misc]simplify: iters left: 3 (5 enodes) 1548147974.201 * * [misc]simplify: iters left: 2 (8 enodes) 1548147974.204 * * [misc]simplify: iters left: 1 (10 enodes) 1548147974.206 * [exit]simplify: Simplified to (sqrt PI) 1548147974.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.206 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.206 * * [misc]simplify: iters left: 6 (14 enodes) 1548147974.211 * * [misc]simplify: iters left: 5 (20 enodes) 1548147974.216 * * [misc]simplify: iters left: 4 (24 enodes) 1548147974.222 * * [misc]simplify: iters left: 3 (26 enodes) 1548147974.228 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.229 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1548147974.229 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1548147974.229 * * [misc]simplify: iters left: 3 (6 enodes) 1548147974.231 * * [misc]simplify: iters left: 2 (7 enodes) 1548147974.232 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548147974.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.233 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.233 * * [misc]simplify: iters left: 6 (14 enodes) 1548147974.237 * * [misc]simplify: iters left: 5 (22 enodes) 1548147974.242 * * [misc]simplify: iters left: 4 (26 enodes) 1548147974.250 * * [misc]simplify: iters left: 3 (36 enodes) 1548147974.255 * * [misc]simplify: iters left: 2 (38 enodes) 1548147974.259 * * [misc]simplify: iters left: 1 (43 enodes) 1548147974.263 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548147974.263 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1548147974.263 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1548147974.264 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147974.264 * * [misc]simplify: iters left: 6 (11 enodes) 1548147974.265 * * [misc]simplify: iters left: 5 (16 enodes) 1548147974.268 * * [misc]simplify: iters left: 4 (19 enodes) 1548147974.270 * * [misc]simplify: iters left: 3 (21 enodes) 1548147974.272 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548147974.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1548147974.272 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1548147974.272 * * [misc]simplify: iters left: 6 (10 enodes) 1548147974.274 * * [misc]simplify: iters left: 5 (13 enodes) 1548147974.275 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1548147974.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1548147974.275 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1548147974.276 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.276 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.278 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.282 * * [misc]simplify: iters left: 4 (24 enodes) 1548147974.285 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.285 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.285 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.287 * * [misc]simplify: iters left: 5 (19 enodes) 1548147974.289 * * [misc]simplify: iters left: 4 (20 enodes) 1548147974.292 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.292 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1548147974.292 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.292 * * [misc]simplify: iters left: 6 (14 enodes) 1548147974.294 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.296 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.299 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.299 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.299 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.299 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.301 * * [misc]simplify: iters left: 5 (19 enodes) 1548147974.303 * * [misc]simplify: iters left: 4 (20 enodes) 1548147974.306 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.306 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1548147974.306 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147974.307 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.308 * * [misc]simplify: iters left: 5 (20 enodes) 1548147974.313 * * [misc]simplify: iters left: 4 (27 enodes) 1548147974.320 * * [misc]simplify: iters left: 3 (39 enodes) 1548147974.330 * * [misc]simplify: iters left: 2 (44 enodes) 1548147974.340 * * [misc]simplify: iters left: 1 (51 enodes) 1548147974.352 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548147974.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147974.353 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147974.353 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.357 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.359 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.362 * * [misc]simplify: iters left: 3 (23 enodes) 1548147974.365 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548147974.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548147974.365 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1548147974.366 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147974.366 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.367 * * [misc]simplify: iters left: 5 (20 enodes) 1548147974.370 * * [misc]simplify: iters left: 4 (27 enodes) 1548147974.373 * * [misc]simplify: iters left: 3 (39 enodes) 1548147974.379 * * [misc]simplify: iters left: 2 (44 enodes) 1548147974.384 * * [misc]simplify: iters left: 1 (51 enodes) 1548147974.390 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1548147974.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147974.391 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147974.391 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.392 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.395 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.398 * * [misc]simplify: iters left: 3 (23 enodes) 1548147974.400 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548147974.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548147974.401 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1548147974.401 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147974.401 * * [misc]simplify: iters left: 6 (14 enodes) 1548147974.403 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.405 * * [misc]simplify: iters left: 4 (31 enodes) 1548147974.410 * * [misc]simplify: iters left: 3 (43 enodes) 1548147974.415 * * [misc]simplify: iters left: 2 (48 enodes) 1548147974.421 * * [misc]simplify: iters left: 1 (55 enodes) 1548147974.427 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1548147974.427 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147974.427 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147974.427 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.430 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.432 * * [misc]simplify: iters left: 4 (22 enodes) 1548147974.437 * * [misc]simplify: iters left: 3 (24 enodes) 1548147974.443 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1548147974.443 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1548147974.443 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1548147974.444 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.444 * * [misc]simplify: iters left: 6 (17 enodes) 1548147974.449 * * [misc]simplify: iters left: 5 (29 enodes) 1548147974.457 * * [misc]simplify: iters left: 4 (50 enodes) 1548147974.473 * * [misc]simplify: iters left: 3 (73 enodes) 1548147974.494 * * [misc]simplify: iters left: 2 (103 enodes) 1548147974.521 * * [misc]simplify: iters left: 1 (127 enodes) 1548147974.541 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548147974.542 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.542 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.542 * * [misc]simplify: iters left: 6 (16 enodes) 1548147974.545 * * [misc]simplify: iters left: 5 (22 enodes) 1548147974.547 * * [misc]simplify: iters left: 4 (26 enodes) 1548147974.551 * * [misc]simplify: iters left: 3 (28 enodes) 1548147974.556 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147974.556 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147974.556 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1548147974.556 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.556 * * [misc]simplify: iters left: 6 (16 enodes) 1548147974.562 * * [misc]simplify: iters left: 5 (24 enodes) 1548147974.568 * * [misc]simplify: iters left: 4 (34 enodes) 1548147974.576 * * [misc]simplify: iters left: 3 (46 enodes) 1548147974.586 * * [misc]simplify: iters left: 2 (51 enodes) 1548147974.597 * * [misc]simplify: iters left: 1 (58 enodes) 1548147974.611 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1548147974.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.612 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.612 * * [misc]simplify: iters left: 6 (16 enodes) 1548147974.616 * * [misc]simplify: iters left: 5 (22 enodes) 1548147974.622 * * [misc]simplify: iters left: 4 (26 enodes) 1548147974.629 * * [misc]simplify: iters left: 3 (28 enodes) 1548147974.636 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147974.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147974.636 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1548147974.636 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147974.636 * * [misc]simplify: iters left: 6 (10 enodes) 1548147974.639 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.645 * * [misc]simplify: iters left: 4 (28 enodes) 1548147974.651 * * [misc]simplify: iters left: 3 (33 enodes) 1548147974.658 * * [misc]simplify: iters left: 2 (50 enodes) 1548147974.666 * * [misc]simplify: iters left: 1 (65 enodes) 1548147974.674 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147974.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.674 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.674 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.677 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.681 * * [misc]simplify: iters left: 4 (25 enodes) 1548147974.684 * * [misc]simplify: iters left: 3 (27 enodes) 1548147974.687 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1548147974.687 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1548147974.687 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1548147974.687 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147974.688 * * [misc]simplify: iters left: 6 (12 enodes) 1548147974.689 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.691 * * [misc]simplify: iters left: 4 (20 enodes) 1548147974.694 * * [misc]simplify: iters left: 3 (22 enodes) 1548147974.699 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548147974.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147974.699 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147974.699 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.702 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.707 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.712 * * [misc]simplify: iters left: 3 (23 enodes) 1548147974.717 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548147974.717 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548147974.717 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1548147974.717 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147974.718 * * [misc]simplify: iters left: 6 (12 enodes) 1548147974.720 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.724 * * [misc]simplify: iters left: 4 (20 enodes) 1548147974.729 * * [misc]simplify: iters left: 3 (22 enodes) 1548147974.733 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1548147974.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147974.733 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147974.734 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.737 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.741 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.746 * * [misc]simplify: iters left: 3 (23 enodes) 1548147974.751 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548147974.751 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548147974.751 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1548147974.751 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147974.751 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.754 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.759 * * [misc]simplify: iters left: 4 (24 enodes) 1548147974.763 * * [misc]simplify: iters left: 3 (26 enodes) 1548147974.768 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548147974.769 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147974.769 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147974.769 * * [misc]simplify: iters left: 6 (13 enodes) 1548147974.772 * * [misc]simplify: iters left: 5 (18 enodes) 1548147974.776 * * [misc]simplify: iters left: 4 (22 enodes) 1548147974.781 * * [misc]simplify: iters left: 3 (24 enodes) 1548147974.787 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1548147974.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1548147974.787 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1548147974.787 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.788 * * [misc]simplify: iters left: 6 (16 enodes) 1548147974.792 * * [misc]simplify: iters left: 5 (24 enodes) 1548147974.799 * * [misc]simplify: iters left: 4 (32 enodes) 1548147974.806 * * [misc]simplify: iters left: 3 (41 enodes) 1548147974.815 * * [misc]simplify: iters left: 2 (49 enodes) 1548147974.824 * * [misc]simplify: iters left: 1 (51 enodes) 1548147974.835 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147974.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.836 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.836 * * [misc]simplify: iters left: 6 (16 enodes) 1548147974.840 * * [misc]simplify: iters left: 5 (22 enodes) 1548147974.845 * * [misc]simplify: iters left: 4 (26 enodes) 1548147974.851 * * [misc]simplify: iters left: 3 (28 enodes) 1548147974.857 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147974.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147974.857 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1548147974.857 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.857 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.861 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.866 * * [misc]simplify: iters left: 4 (27 enodes) 1548147974.872 * * [misc]simplify: iters left: 3 (29 enodes) 1548147974.878 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147974.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147974.879 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147974.879 * * [misc]simplify: iters left: 6 (16 enodes) 1548147974.883 * * [misc]simplify: iters left: 5 (22 enodes) 1548147974.888 * * [misc]simplify: iters left: 4 (26 enodes) 1548147974.895 * * [misc]simplify: iters left: 3 (28 enodes) 1548147974.902 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147974.902 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147974.903 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1548147974.903 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1548147974.903 * * [misc]simplify: iters left: 6 (9 enodes) 1548147974.906 * * [misc]simplify: iters left: 5 (14 enodes) 1548147974.910 * * [misc]simplify: iters left: 4 (21 enodes) 1548147974.915 * * [misc]simplify: iters left: 3 (23 enodes) 1548147974.917 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548147974.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147974.918 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147974.918 * * [misc]simplify: iters left: 6 (15 enodes) 1548147974.920 * * [misc]simplify: iters left: 5 (21 enodes) 1548147974.924 * * [misc]simplify: iters left: 4 (25 enodes) 1548147974.927 * * [misc]simplify: iters left: 3 (27 enodes) 1548147974.931 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1548147974.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1548147974.931 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1548147974.931 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548147974.932 * * [misc]simplify: iters left: 6 (10 enodes) 1548147974.933 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.935 * * [misc]simplify: iters left: 4 (19 enodes) 1548147974.938 * * [misc]simplify: iters left: 3 (28 enodes) 1548147974.941 * * [misc]simplify: iters left: 2 (31 enodes) 1548147974.944 * * [misc]simplify: iters left: 1 (33 enodes) 1548147974.948 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548147974.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147974.948 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147974.948 * * [misc]simplify: iters left: 6 (12 enodes) 1548147974.951 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.956 * * [misc]simplify: iters left: 4 (20 enodes) 1548147974.961 * * [misc]simplify: iters left: 3 (22 enodes) 1548147974.967 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147974.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147974.967 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1548147974.967 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1548147974.967 * * [misc]simplify: iters left: 6 (10 enodes) 1548147974.970 * * [misc]simplify: iters left: 5 (17 enodes) 1548147974.975 * * [misc]simplify: iters left: 4 (19 enodes) 1548147974.981 * * [misc]simplify: iters left: 3 (28 enodes) 1548147974.987 * * [misc]simplify: iters left: 2 (31 enodes) 1548147974.993 * * [misc]simplify: iters left: 1 (33 enodes) 1548147975.000 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1548147975.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147975.000 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147975.000 * * [misc]simplify: iters left: 6 (12 enodes) 1548147975.004 * * [misc]simplify: iters left: 5 (17 enodes) 1548147975.008 * * [misc]simplify: iters left: 4 (20 enodes) 1548147975.014 * * [misc]simplify: iters left: 3 (22 enodes) 1548147975.019 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147975.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147975.019 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1548147975.019 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147975.020 * * [misc]simplify: iters left: 6 (12 enodes) 1548147975.023 * * [misc]simplify: iters left: 5 (19 enodes) 1548147975.028 * * [misc]simplify: iters left: 4 (24 enodes) 1548147975.034 * * [misc]simplify: iters left: 3 (33 enodes) 1548147975.042 * * [misc]simplify: iters left: 2 (36 enodes) 1548147975.051 * * [misc]simplify: iters left: 1 (39 enodes) 1548147975.060 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1548147975.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147975.061 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147975.061 * * [misc]simplify: iters left: 6 (12 enodes) 1548147975.064 * * [misc]simplify: iters left: 5 (17 enodes) 1548147975.069 * * [misc]simplify: iters left: 4 (21 enodes) 1548147975.074 * * [misc]simplify: iters left: 3 (23 enodes) 1548147975.080 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147975.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548147975.080 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1548147975.080 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.080 * * [misc]simplify: iters left: 6 (15 enodes) 1548147975.085 * * [misc]simplify: iters left: 5 (25 enodes) 1548147975.091 * * [misc]simplify: iters left: 4 (32 enodes) 1548147975.101 * * [misc]simplify: iters left: 3 (47 enodes) 1548147975.114 * * [misc]simplify: iters left: 2 (62 enodes) 1548147975.130 * * [misc]simplify: iters left: 1 (76 enodes) 1548147975.150 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1548147975.150 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147975.151 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.151 * * [misc]simplify: iters left: 6 (15 enodes) 1548147975.155 * * [misc]simplify: iters left: 5 (21 enodes) 1548147975.161 * * [misc]simplify: iters left: 4 (25 enodes) 1548147975.167 * * [misc]simplify: iters left: 3 (27 enodes) 1548147975.174 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548147975.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548147975.174 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1548147975.174 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.174 * * [misc]simplify: iters left: 6 (14 enodes) 1548147975.178 * * [misc]simplify: iters left: 5 (22 enodes) 1548147975.184 * * [misc]simplify: iters left: 4 (27 enodes) 1548147975.194 * * [misc]simplify: iters left: 3 (36 enodes) 1548147975.202 * * [misc]simplify: iters left: 2 (39 enodes) 1548147975.211 * * [misc]simplify: iters left: 1 (42 enodes) 1548147975.220 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1548147975.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147975.220 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.220 * * [misc]simplify: iters left: 6 (15 enodes) 1548147975.223 * * [misc]simplify: iters left: 5 (21 enodes) 1548147975.226 * * [misc]simplify: iters left: 4 (25 enodes) 1548147975.228 * * [misc]simplify: iters left: 3 (27 enodes) 1548147975.232 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1548147975.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1548147975.232 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1548147975.232 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1548147975.232 * * [misc]simplify: iters left: 4 (6 enodes) 1548147975.233 * * [misc]simplify: iters left: 3 (9 enodes) 1548147975.234 * [exit]simplify: Simplified to (sqrt PI) 1548147975.234 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.234 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147975.235 * * [misc]simplify: iters left: 6 (14 enodes) 1548147975.236 * * [misc]simplify: iters left: 5 (20 enodes) 1548147975.239 * * [misc]simplify: iters left: 4 (24 enodes) 1548147975.242 * * [misc]simplify: iters left: 3 (26 enodes) 1548147975.245 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147975.245 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.245 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1548147975.245 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548147975.245 * * [misc]simplify: iters left: 3 (5 enodes) 1548147975.246 * * [misc]simplify: iters left: 2 (8 enodes) 1548147975.247 * * [misc]simplify: iters left: 1 (10 enodes) 1548147975.248 * [exit]simplify: Simplified to (sqrt PI) 1548147975.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.248 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147975.248 * * [misc]simplify: iters left: 6 (14 enodes) 1548147975.250 * * [misc]simplify: iters left: 5 (20 enodes) 1548147975.253 * * [misc]simplify: iters left: 4 (24 enodes) 1548147975.256 * * [misc]simplify: iters left: 3 (26 enodes) 1548147975.259 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147975.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.259 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1548147975.259 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1548147975.259 * * [misc]simplify: iters left: 3 (6 enodes) 1548147975.260 * * [misc]simplify: iters left: 2 (7 enodes) 1548147975.261 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548147975.261 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.261 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147975.261 * * [misc]simplify: iters left: 6 (14 enodes) 1548147975.263 * * [misc]simplify: iters left: 5 (22 enodes) 1548147975.266 * * [misc]simplify: iters left: 4 (26 enodes) 1548147975.269 * * [misc]simplify: iters left: 3 (36 enodes) 1548147975.274 * * [misc]simplify: iters left: 2 (38 enodes) 1548147975.277 * * [misc]simplify: iters left: 1 (43 enodes) 1548147975.283 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548147975.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1548147975.283 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1548147975.284 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147975.284 * * [misc]simplify: iters left: 6 (11 enodes) 1548147975.285 * * [misc]simplify: iters left: 5 (16 enodes) 1548147975.287 * * [misc]simplify: iters left: 4 (19 enodes) 1548147975.289 * * [misc]simplify: iters left: 3 (21 enodes) 1548147975.292 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548147975.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1548147975.292 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1548147975.292 * * [misc]simplify: iters left: 6 (10 enodes) 1548147975.293 * * [misc]simplify: iters left: 5 (13 enodes) 1548147975.295 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1548147975.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1548147975.295 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1548147975.295 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.295 * * [misc]simplify: iters left: 6 (17 enodes) 1548147975.297 * * [misc]simplify: iters left: 5 (26 enodes) 1548147975.301 * * [misc]simplify: iters left: 4 (38 enodes) 1548147975.311 * * [misc]simplify: iters left: 3 (41 enodes) 1548147975.321 * * [misc]simplify: iters left: 2 (44 enodes) 1548147975.333 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147975.333 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.333 * * [misc]simplify: iters left: 6 (15 enodes) 1548147975.337 * * [misc]simplify: iters left: 5 (18 enodes) 1548147975.342 * * [misc]simplify: iters left: 4 (21 enodes) 1548147975.348 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147975.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147975.348 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1548147975.348 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.349 * * [misc]simplify: iters left: 6 (16 enodes) 1548147975.353 * * [misc]simplify: iters left: 5 (21 enodes) 1548147975.359 * * [misc]simplify: iters left: 4 (26 enodes) 1548147975.366 * * [misc]simplify: iters left: 3 (27 enodes) 1548147975.373 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147975.373 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147975.373 * * [misc]simplify: iters left: 6 (15 enodes) 1548147975.378 * * [misc]simplify: iters left: 5 (18 enodes) 1548147975.383 * * [misc]simplify: iters left: 4 (21 enodes) 1548147975.389 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147975.389 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147975.389 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1548147975.389 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147975.390 * * [misc]simplify: iters left: 6 (17 enodes) 1548147975.395 * * [misc]simplify: iters left: 5 (27 enodes) 1548147975.404 * * [misc]simplify: iters left: 4 (45 enodes) 1548147975.413 * * [misc]simplify: iters left: 3 (86 enodes) 1548147975.427 * * [misc]simplify: iters left: 2 (137 enodes) 1548147975.451 * * [misc]simplify: iters left: 1 (166 enodes) 1548147975.498 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147975.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147975.498 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147975.499 * * [misc]simplify: iters left: 6 (16 enodes) 1548147975.503 * * [misc]simplify: iters left: 5 (22 enodes) 1548147975.509 * * [misc]simplify: iters left: 4 (26 enodes) 1548147975.515 * * [misc]simplify: iters left: 3 (28 enodes) 1548147975.522 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147975.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147975.522 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1548147975.522 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147975.523 * * [misc]simplify: iters left: 6 (17 enodes) 1548147975.528 * * [misc]simplify: iters left: 5 (27 enodes) 1548147975.536 * * [misc]simplify: iters left: 4 (45 enodes) 1548147975.549 * * [misc]simplify: iters left: 3 (86 enodes) 1548147975.579 * * [misc]simplify: iters left: 2 (137 enodes) 1548147975.616 * * [misc]simplify: iters left: 1 (166 enodes) 1548147975.652 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147975.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147975.652 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147975.652 * * [misc]simplify: iters left: 6 (16 enodes) 1548147975.657 * * [misc]simplify: iters left: 5 (22 enodes) 1548147975.662 * * [misc]simplify: iters left: 4 (26 enodes) 1548147975.669 * * [misc]simplify: iters left: 3 (28 enodes) 1548147975.676 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147975.676 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147975.676 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1548147975.676 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147975.676 * * [misc]simplify: iters left: 6 (16 enodes) 1548147975.681 * * [misc]simplify: iters left: 5 (24 enodes) 1548147975.688 * * [misc]simplify: iters left: 4 (42 enodes) 1548147975.702 * * [misc]simplify: iters left: 3 (83 enodes) 1548147975.722 * * [misc]simplify: iters left: 2 (134 enodes) 1548147975.745 * * [misc]simplify: iters left: 1 (163 enodes) 1548147975.799 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147975.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147975.799 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147975.799 * * [misc]simplify: iters left: 6 (13 enodes) 1548147975.803 * * [misc]simplify: iters left: 5 (17 enodes) 1548147975.808 * * [misc]simplify: iters left: 4 (23 enodes) 1548147975.815 * * [misc]simplify: iters left: 3 (25 enodes) 1548147975.821 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147975.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147975.821 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1548147975.822 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147975.822 * * [misc]simplify: iters left: 6 (19 enodes) 1548147975.828 * * [misc]simplify: iters left: 5 (32 enodes) 1548147975.838 * * [misc]simplify: iters left: 4 (66 enodes) 1548147975.858 * * [misc]simplify: iters left: 3 (135 enodes) 1548147975.889 * * [misc]simplify: iters left: 2 (266 enodes) 1548147976.358 * * [misc]simplify: iters left: 1 (376 enodes) 1548147976.521 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1548147976.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147976.521 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147976.521 * * [misc]simplify: iters left: 6 (16 enodes) 1548147976.523 * * [misc]simplify: iters left: 5 (21 enodes) 1548147976.526 * * [misc]simplify: iters left: 4 (27 enodes) 1548147976.529 * * [misc]simplify: iters left: 3 (29 enodes) 1548147976.533 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548147976.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548147976.533 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1548147976.533 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147976.533 * * [misc]simplify: iters left: 6 (18 enodes) 1548147976.536 * * [misc]simplify: iters left: 5 (27 enodes) 1548147976.540 * * [misc]simplify: iters left: 4 (45 enodes) 1548147976.547 * * [misc]simplify: iters left: 3 (86 enodes) 1548147976.564 * * [misc]simplify: iters left: 2 (137 enodes) 1548147976.597 * * [misc]simplify: iters left: 1 (166 enodes) 1548147976.648 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147976.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147976.648 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147976.648 * * [misc]simplify: iters left: 6 (16 enodes) 1548147976.650 * * [misc]simplify: iters left: 5 (21 enodes) 1548147976.653 * * [misc]simplify: iters left: 4 (27 enodes) 1548147976.656 * * [misc]simplify: iters left: 3 (29 enodes) 1548147976.660 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548147976.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548147976.660 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1548147976.660 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147976.660 * * [misc]simplify: iters left: 6 (15 enodes) 1548147976.663 * * [misc]simplify: iters left: 5 (25 enodes) 1548147976.667 * * [misc]simplify: iters left: 4 (46 enodes) 1548147976.674 * * [misc]simplify: iters left: 3 (70 enodes) 1548147976.695 * * [misc]simplify: iters left: 2 (144 enodes) 1548147976.736 * * [misc]simplify: iters left: 1 (214 enodes) 1548147976.770 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548147976.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147976.770 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147976.770 * * [misc]simplify: iters left: 6 (15 enodes) 1548147976.772 * * [misc]simplify: iters left: 5 (20 enodes) 1548147976.777 * * [misc]simplify: iters left: 4 (26 enodes) 1548147976.784 * * [misc]simplify: iters left: 3 (28 enodes) 1548147976.789 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147976.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147976.790 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1548147976.790 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147976.790 * * [misc]simplify: iters left: 6 (16 enodes) 1548147976.792 * * [misc]simplify: iters left: 5 (24 enodes) 1548147976.796 * * [misc]simplify: iters left: 4 (34 enodes) 1548147976.800 * * [misc]simplify: iters left: 3 (46 enodes) 1548147976.807 * * [misc]simplify: iters left: 2 (58 enodes) 1548147976.814 * * [misc]simplify: iters left: 1 (64 enodes) 1548147976.824 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548147976.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147976.825 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147976.825 * * [misc]simplify: iters left: 6 (16 enodes) 1548147976.829 * * [misc]simplify: iters left: 5 (22 enodes) 1548147976.835 * * [misc]simplify: iters left: 4 (26 enodes) 1548147976.842 * * [misc]simplify: iters left: 3 (28 enodes) 1548147976.849 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147976.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147976.849 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1548147976.849 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147976.849 * * [misc]simplify: iters left: 6 (16 enodes) 1548147976.854 * * [misc]simplify: iters left: 5 (24 enodes) 1548147976.860 * * [misc]simplify: iters left: 4 (34 enodes) 1548147976.869 * * [misc]simplify: iters left: 3 (46 enodes) 1548147976.880 * * [misc]simplify: iters left: 2 (58 enodes) 1548147976.894 * * [misc]simplify: iters left: 1 (64 enodes) 1548147976.911 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548147976.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147976.911 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147976.911 * * [misc]simplify: iters left: 6 (16 enodes) 1548147976.914 * * [misc]simplify: iters left: 5 (22 enodes) 1548147976.917 * * [misc]simplify: iters left: 4 (26 enodes) 1548147976.921 * * [misc]simplify: iters left: 3 (28 enodes) 1548147976.924 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147976.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147976.924 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1548147976.924 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147976.924 * * [misc]simplify: iters left: 6 (15 enodes) 1548147976.926 * * [misc]simplify: iters left: 5 (21 enodes) 1548147976.929 * * [misc]simplify: iters left: 4 (31 enodes) 1548147976.934 * * [misc]simplify: iters left: 3 (43 enodes) 1548147976.939 * * [misc]simplify: iters left: 2 (55 enodes) 1548147976.947 * * [misc]simplify: iters left: 1 (61 enodes) 1548147976.958 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147976.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147976.958 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147976.958 * * [misc]simplify: iters left: 6 (13 enodes) 1548147976.962 * * [misc]simplify: iters left: 5 (17 enodes) 1548147976.967 * * [misc]simplify: iters left: 4 (23 enodes) 1548147976.973 * * [misc]simplify: iters left: 3 (25 enodes) 1548147976.979 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147976.979 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147976.979 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1548147976.979 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147976.980 * * [misc]simplify: iters left: 6 (18 enodes) 1548147976.985 * * [misc]simplify: iters left: 5 (27 enodes) 1548147976.992 * * [misc]simplify: iters left: 4 (41 enodes) 1548147977.004 * * [misc]simplify: iters left: 3 (67 enodes) 1548147977.023 * * [misc]simplify: iters left: 2 (106 enodes) 1548147977.044 * * [misc]simplify: iters left: 1 (137 enodes) 1548147977.070 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548147977.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147977.070 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147977.070 * * [misc]simplify: iters left: 6 (16 enodes) 1548147977.075 * * [misc]simplify: iters left: 5 (21 enodes) 1548147977.080 * * [misc]simplify: iters left: 4 (27 enodes) 1548147977.088 * * [misc]simplify: iters left: 3 (29 enodes) 1548147977.096 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548147977.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548147977.096 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1548147977.096 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147977.097 * * [misc]simplify: iters left: 6 (17 enodes) 1548147977.102 * * [misc]simplify: iters left: 5 (24 enodes) 1548147977.107 * * [misc]simplify: iters left: 4 (34 enodes) 1548147977.115 * * [misc]simplify: iters left: 3 (46 enodes) 1548147977.128 * * [misc]simplify: iters left: 2 (58 enodes) 1548147977.144 * * [misc]simplify: iters left: 1 (64 enodes) 1548147977.162 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147977.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147977.162 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147977.162 * * [misc]simplify: iters left: 6 (16 enodes) 1548147977.166 * * [misc]simplify: iters left: 5 (21 enodes) 1548147977.172 * * [misc]simplify: iters left: 4 (27 enodes) 1548147977.178 * * [misc]simplify: iters left: 3 (29 enodes) 1548147977.184 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548147977.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548147977.185 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1548147977.185 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1548147977.185 * * [misc]simplify: iters left: 6 (14 enodes) 1548147977.190 * * [misc]simplify: iters left: 5 (22 enodes) 1548147977.197 * * [misc]simplify: iters left: 4 (33 enodes) 1548147977.205 * * [misc]simplify: iters left: 3 (44 enodes) 1548147977.215 * * [misc]simplify: iters left: 2 (45 enodes) 1548147977.223 * * [misc]simplify: iters left: 1 (51 enodes) 1548147977.234 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147977.234 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147977.234 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147977.234 * * [misc]simplify: iters left: 6 (15 enodes) 1548147977.239 * * [misc]simplify: iters left: 5 (20 enodes) 1548147977.243 * * [misc]simplify: iters left: 4 (26 enodes) 1548147977.246 * * [misc]simplify: iters left: 3 (28 enodes) 1548147977.249 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147977.249 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147977.249 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1548147977.249 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548147977.249 * * [misc]simplify: iters left: 6 (15 enodes) 1548147977.252 * * [misc]simplify: iters left: 5 (25 enodes) 1548147977.256 * * [misc]simplify: iters left: 4 (35 enodes) 1548147977.261 * * [misc]simplify: iters left: 3 (50 enodes) 1548147977.268 * * [misc]simplify: iters left: 2 (98 enodes) 1548147977.306 * * [misc]simplify: iters left: 1 (235 enodes) 1548147977.377 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1548147977.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147977.377 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147977.378 * * [misc]simplify: iters left: 6 (15 enodes) 1548147977.382 * * [misc]simplify: iters left: 5 (21 enodes) 1548147977.386 * * [misc]simplify: iters left: 4 (25 enodes) 1548147977.389 * * [misc]simplify: iters left: 3 (27 enodes) 1548147977.392 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548147977.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548147977.392 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1548147977.392 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548147977.392 * * [misc]simplify: iters left: 6 (15 enodes) 1548147977.395 * * [misc]simplify: iters left: 5 (25 enodes) 1548147977.398 * * [misc]simplify: iters left: 4 (35 enodes) 1548147977.403 * * [misc]simplify: iters left: 3 (50 enodes) 1548147977.410 * * [misc]simplify: iters left: 2 (98 enodes) 1548147977.433 * * [misc]simplify: iters left: 1 (235 enodes) 1548147977.525 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1548147977.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147977.525 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147977.526 * * [misc]simplify: iters left: 6 (15 enodes) 1548147977.530 * * [misc]simplify: iters left: 5 (21 enodes) 1548147977.535 * * [misc]simplify: iters left: 4 (25 enodes) 1548147977.542 * * [misc]simplify: iters left: 3 (27 enodes) 1548147977.548 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548147977.548 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548147977.548 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1548147977.548 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147977.548 * * [misc]simplify: iters left: 6 (14 enodes) 1548147977.553 * * [misc]simplify: iters left: 5 (22 enodes) 1548147977.558 * * [misc]simplify: iters left: 4 (32 enodes) 1548147977.566 * * [misc]simplify: iters left: 3 (47 enodes) 1548147977.581 * * [misc]simplify: iters left: 2 (95 enodes) 1548147977.620 * * [misc]simplify: iters left: 1 (215 enodes) 1548147977.711 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147977.711 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147977.711 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147977.712 * * [misc]simplify: iters left: 6 (12 enodes) 1548147977.713 * * [misc]simplify: iters left: 5 (16 enodes) 1548147977.715 * * [misc]simplify: iters left: 4 (22 enodes) 1548147977.718 * * [misc]simplify: iters left: 3 (24 enodes) 1548147977.721 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147977.721 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147977.721 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1548147977.721 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147977.722 * * [misc]simplify: iters left: 6 (17 enodes) 1548147977.724 * * [misc]simplify: iters left: 5 (28 enodes) 1548147977.728 * * [misc]simplify: iters left: 4 (42 enodes) 1548147977.741 * * [misc]simplify: iters left: 3 (69 enodes) 1548147977.767 * * [misc]simplify: iters left: 2 (137 enodes) 1548147977.833 * * [misc]simplify: iters left: 1 (398 enodes) 1548147978.083 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147978.083 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.083 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.088 * * [misc]simplify: iters left: 5 (20 enodes) 1548147978.091 * * [misc]simplify: iters left: 4 (26 enodes) 1548147978.094 * * [misc]simplify: iters left: 3 (28 enodes) 1548147978.098 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147978.098 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147978.098 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1548147978.098 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.099 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.101 * * [misc]simplify: iters left: 5 (25 enodes) 1548147978.108 * * [misc]simplify: iters left: 4 (35 enodes) 1548147978.117 * * [misc]simplify: iters left: 3 (50 enodes) 1548147978.131 * * [misc]simplify: iters left: 2 (73 enodes) 1548147978.154 * * [misc]simplify: iters left: 1 (148 enodes) 1548147978.215 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147978.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147978.216 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.216 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.220 * * [misc]simplify: iters left: 5 (20 enodes) 1548147978.226 * * [misc]simplify: iters left: 4 (26 enodes) 1548147978.233 * * [misc]simplify: iters left: 3 (28 enodes) 1548147978.240 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147978.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147978.240 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1548147978.241 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1548147978.241 * * [misc]simplify: iters left: 6 (12 enodes) 1548147978.245 * * [misc]simplify: iters left: 5 (18 enodes) 1548147978.249 * * [misc]simplify: iters left: 4 (21 enodes) 1548147978.255 * * [misc]simplify: iters left: 3 (29 enodes) 1548147978.262 * * [misc]simplify: iters left: 2 (31 enodes) 1548147978.268 * * [misc]simplify: iters left: 1 (38 enodes) 1548147978.276 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147978.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147978.277 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147978.277 * * [misc]simplify: iters left: 6 (14 enodes) 1548147978.279 * * [misc]simplify: iters left: 5 (19 enodes) 1548147978.281 * * [misc]simplify: iters left: 4 (25 enodes) 1548147978.284 * * [misc]simplify: iters left: 3 (27 enodes) 1548147978.288 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147978.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147978.288 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1548147978.288 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1548147978.288 * * [misc]simplify: iters left: 6 (11 enodes) 1548147978.290 * * [misc]simplify: iters left: 5 (17 enodes) 1548147978.292 * * [misc]simplify: iters left: 4 (26 enodes) 1548147978.298 * * [misc]simplify: iters left: 3 (28 enodes) 1548147978.303 * * [misc]simplify: iters left: 2 (33 enodes) 1548147978.310 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147978.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147978.310 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147978.310 * * [misc]simplify: iters left: 6 (14 enodes) 1548147978.312 * * [misc]simplify: iters left: 5 (19 enodes) 1548147978.314 * * [misc]simplify: iters left: 4 (25 enodes) 1548147978.317 * * [misc]simplify: iters left: 3 (27 enodes) 1548147978.322 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147978.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147978.322 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1548147978.322 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1548147978.322 * * [misc]simplify: iters left: 6 (11 enodes) 1548147978.324 * * [misc]simplify: iters left: 5 (15 enodes) 1548147978.326 * * [misc]simplify: iters left: 4 (20 enodes) 1548147978.328 * * [misc]simplify: iters left: 3 (21 enodes) 1548147978.331 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147978.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147978.331 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147978.331 * * [misc]simplify: iters left: 6 (14 enodes) 1548147978.333 * * [misc]simplify: iters left: 5 (21 enodes) 1548147978.336 * * [misc]simplify: iters left: 4 (27 enodes) 1548147978.340 * * [misc]simplify: iters left: 3 (37 enodes) 1548147978.348 * * [misc]simplify: iters left: 2 (39 enodes) 1548147978.356 * * [misc]simplify: iters left: 1 (44 enodes) 1548147978.364 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147978.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548147978.364 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1548147978.365 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147978.365 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.369 * * [misc]simplify: iters left: 5 (23 enodes) 1548147978.375 * * [misc]simplify: iters left: 4 (33 enodes) 1548147978.382 * * [misc]simplify: iters left: 3 (45 enodes) 1548147978.388 * * [misc]simplify: iters left: 2 (57 enodes) 1548147978.396 * * [misc]simplify: iters left: 1 (63 enodes) 1548147978.404 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548147978.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548147978.405 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548147978.405 * * [misc]simplify: iters left: 6 (12 enodes) 1548147978.406 * * [misc]simplify: iters left: 5 (15 enodes) 1548147978.408 * * [misc]simplify: iters left: 4 (18 enodes) 1548147978.413 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548147978.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548147978.413 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1548147978.413 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147978.414 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.419 * * [misc]simplify: iters left: 5 (21 enodes) 1548147978.425 * * [misc]simplify: iters left: 4 (24 enodes) 1548147978.432 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147978.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147978.432 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.432 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.437 * * [misc]simplify: iters left: 5 (18 enodes) 1548147978.442 * * [misc]simplify: iters left: 4 (21 enodes) 1548147978.448 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147978.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147978.448 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1548147978.448 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.449 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.453 * * [misc]simplify: iters left: 5 (18 enodes) 1548147978.458 * * [misc]simplify: iters left: 4 (21 enodes) 1548147978.463 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147978.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147978.464 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.464 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.468 * * [misc]simplify: iters left: 5 (18 enodes) 1548147978.473 * * [misc]simplify: iters left: 4 (21 enodes) 1548147978.479 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147978.479 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147978.479 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1548147978.479 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147978.479 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.484 * * [misc]simplify: iters left: 5 (24 enodes) 1548147978.491 * * [misc]simplify: iters left: 4 (34 enodes) 1548147978.500 * * [misc]simplify: iters left: 3 (46 enodes) 1548147978.508 * * [misc]simplify: iters left: 2 (51 enodes) 1548147978.514 * * [misc]simplify: iters left: 1 (58 enodes) 1548147978.521 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1548147978.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147978.521 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147978.521 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.523 * * [misc]simplify: iters left: 5 (22 enodes) 1548147978.526 * * [misc]simplify: iters left: 4 (26 enodes) 1548147978.530 * * [misc]simplify: iters left: 3 (28 enodes) 1548147978.534 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147978.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147978.535 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1548147978.535 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147978.535 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.540 * * [misc]simplify: iters left: 5 (24 enodes) 1548147978.547 * * [misc]simplify: iters left: 4 (34 enodes) 1548147978.556 * * [misc]simplify: iters left: 3 (46 enodes) 1548147978.567 * * [misc]simplify: iters left: 2 (51 enodes) 1548147978.578 * * [misc]simplify: iters left: 1 (58 enodes) 1548147978.585 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1548147978.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147978.585 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147978.585 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.587 * * [misc]simplify: iters left: 5 (22 enodes) 1548147978.590 * * [misc]simplify: iters left: 4 (26 enodes) 1548147978.593 * * [misc]simplify: iters left: 3 (28 enodes) 1548147978.597 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147978.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147978.597 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1548147978.597 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147978.597 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.601 * * [misc]simplify: iters left: 5 (21 enodes) 1548147978.607 * * [misc]simplify: iters left: 4 (31 enodes) 1548147978.616 * * [misc]simplify: iters left: 3 (43 enodes) 1548147978.626 * * [misc]simplify: iters left: 2 (48 enodes) 1548147978.638 * * [misc]simplify: iters left: 1 (55 enodes) 1548147978.652 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147978.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147978.652 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147978.652 * * [misc]simplify: iters left: 6 (13 enodes) 1548147978.657 * * [misc]simplify: iters left: 5 (17 enodes) 1548147978.661 * * [misc]simplify: iters left: 4 (23 enodes) 1548147978.667 * * [misc]simplify: iters left: 3 (25 enodes) 1548147978.673 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147978.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147978.674 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1548147978.674 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147978.674 * * [misc]simplify: iters left: 6 (18 enodes) 1548147978.680 * * [misc]simplify: iters left: 5 (29 enodes) 1548147978.688 * * [misc]simplify: iters left: 4 (50 enodes) 1548147978.703 * * [misc]simplify: iters left: 3 (73 enodes) 1548147978.724 * * [misc]simplify: iters left: 2 (103 enodes) 1548147978.753 * * [misc]simplify: iters left: 1 (127 enodes) 1548147978.790 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1548147978.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147978.791 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.791 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.794 * * [misc]simplify: iters left: 5 (21 enodes) 1548147978.797 * * [misc]simplify: iters left: 4 (27 enodes) 1548147978.800 * * [misc]simplify: iters left: 3 (29 enodes) 1548147978.804 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548147978.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548147978.804 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1548147978.804 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.805 * * [misc]simplify: iters left: 6 (17 enodes) 1548147978.807 * * [misc]simplify: iters left: 5 (24 enodes) 1548147978.813 * * [misc]simplify: iters left: 4 (34 enodes) 1548147978.822 * * [misc]simplify: iters left: 3 (46 enodes) 1548147978.833 * * [misc]simplify: iters left: 2 (51 enodes) 1548147978.845 * * [misc]simplify: iters left: 1 (58 enodes) 1548147978.860 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147978.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147978.860 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147978.861 * * [misc]simplify: iters left: 6 (16 enodes) 1548147978.865 * * [misc]simplify: iters left: 5 (21 enodes) 1548147978.871 * * [misc]simplify: iters left: 4 (27 enodes) 1548147978.878 * * [misc]simplify: iters left: 3 (29 enodes) 1548147978.885 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548147978.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548147978.885 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1548147978.885 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147978.886 * * [misc]simplify: iters left: 6 (14 enodes) 1548147978.890 * * [misc]simplify: iters left: 5 (22 enodes) 1548147978.896 * * [misc]simplify: iters left: 4 (36 enodes) 1548147978.906 * * [misc]simplify: iters left: 3 (57 enodes) 1548147978.923 * * [misc]simplify: iters left: 2 (119 enodes) 1548147978.969 * * [misc]simplify: iters left: 1 (178 enodes) 1548147978.996 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147978.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147978.996 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147978.997 * * [misc]simplify: iters left: 6 (15 enodes) 1548147978.999 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.002 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.006 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.009 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147979.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.009 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1548147979.009 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147979.009 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.011 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.014 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.019 * * [misc]simplify: iters left: 3 (29 enodes) 1548147979.022 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1548147979.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147979.022 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147979.022 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.024 * * [misc]simplify: iters left: 5 (22 enodes) 1548147979.027 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.030 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.034 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147979.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147979.034 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1548147979.034 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147979.034 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.036 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.039 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.042 * * [misc]simplify: iters left: 3 (29 enodes) 1548147979.045 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1548147979.045 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147979.045 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147979.045 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.048 * * [misc]simplify: iters left: 5 (22 enodes) 1548147979.050 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.054 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.057 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147979.058 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147979.058 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1548147979.058 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147979.058 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.060 * * [misc]simplify: iters left: 5 (18 enodes) 1548147979.064 * * [misc]simplify: iters left: 4 (24 enodes) 1548147979.070 * * [misc]simplify: iters left: 3 (26 enodes) 1548147979.076 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147979.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147979.077 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147979.077 * * [misc]simplify: iters left: 6 (13 enodes) 1548147979.081 * * [misc]simplify: iters left: 5 (17 enodes) 1548147979.085 * * [misc]simplify: iters left: 4 (23 enodes) 1548147979.091 * * [misc]simplify: iters left: 3 (25 enodes) 1548147979.097 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147979.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147979.097 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1548147979.097 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.097 * * [misc]simplify: iters left: 6 (17 enodes) 1548147979.102 * * [misc]simplify: iters left: 5 (24 enodes) 1548147979.109 * * [misc]simplify: iters left: 4 (32 enodes) 1548147979.119 * * [misc]simplify: iters left: 3 (41 enodes) 1548147979.127 * * [misc]simplify: iters left: 2 (49 enodes) 1548147979.133 * * [misc]simplify: iters left: 1 (51 enodes) 1548147979.139 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.139 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.139 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.139 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.142 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.144 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.148 * * [misc]simplify: iters left: 3 (29 enodes) 1548147979.152 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548147979.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548147979.152 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1548147979.152 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.152 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.154 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.157 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.160 * * [misc]simplify: iters left: 3 (29 enodes) 1548147979.164 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548147979.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.164 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.164 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.166 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.169 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.172 * * [misc]simplify: iters left: 3 (29 enodes) 1548147979.176 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548147979.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548147979.176 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1548147979.176 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1548147979.177 * * [misc]simplify: iters left: 6 (13 enodes) 1548147979.180 * * [misc]simplify: iters left: 5 (19 enodes) 1548147979.186 * * [misc]simplify: iters left: 4 (29 enodes) 1548147979.193 * * [misc]simplify: iters left: 3 (33 enodes) 1548147979.200 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147979.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.200 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147979.201 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.205 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.208 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.211 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.214 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147979.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.215 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1548147979.215 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1548147979.215 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.217 * * [misc]simplify: iters left: 5 (22 enodes) 1548147979.220 * * [misc]simplify: iters left: 4 (28 enodes) 1548147979.224 * * [misc]simplify: iters left: 3 (38 enodes) 1548147979.228 * * [misc]simplify: iters left: 2 (40 enodes) 1548147979.231 * * [misc]simplify: iters left: 1 (45 enodes) 1548147979.236 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548147979.236 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147979.236 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147979.236 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.238 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.242 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.245 * * [misc]simplify: iters left: 3 (27 enodes) 1548147979.252 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548147979.252 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548147979.252 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1548147979.252 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1548147979.252 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.256 * * [misc]simplify: iters left: 5 (22 enodes) 1548147979.262 * * [misc]simplify: iters left: 4 (28 enodes) 1548147979.267 * * [misc]simplify: iters left: 3 (38 enodes) 1548147979.271 * * [misc]simplify: iters left: 2 (40 enodes) 1548147979.275 * * [misc]simplify: iters left: 1 (45 enodes) 1548147979.280 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548147979.280 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147979.280 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147979.280 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.282 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.285 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.288 * * [misc]simplify: iters left: 3 (27 enodes) 1548147979.293 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1548147979.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1548147979.294 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1548147979.294 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147979.294 * * [misc]simplify: iters left: 6 (13 enodes) 1548147979.297 * * [misc]simplify: iters left: 5 (19 enodes) 1548147979.302 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.309 * * [misc]simplify: iters left: 3 (35 enodes) 1548147979.313 * * [misc]simplify: iters left: 2 (37 enodes) 1548147979.316 * * [misc]simplify: iters left: 1 (42 enodes) 1548147979.320 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548147979.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147979.321 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147979.321 * * [misc]simplify: iters left: 6 (12 enodes) 1548147979.322 * * [misc]simplify: iters left: 5 (16 enodes) 1548147979.325 * * [misc]simplify: iters left: 4 (22 enodes) 1548147979.327 * * [misc]simplify: iters left: 3 (24 enodes) 1548147979.330 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147979.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147979.331 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1548147979.331 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.331 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.333 * * [misc]simplify: iters left: 5 (25 enodes) 1548147979.336 * * [misc]simplify: iters left: 4 (33 enodes) 1548147979.345 * * [misc]simplify: iters left: 3 (47 enodes) 1548147979.355 * * [misc]simplify: iters left: 2 (56 enodes) 1548147979.365 * * [misc]simplify: iters left: 1 (66 enodes) 1548147979.381 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147979.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.381 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.381 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.385 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.390 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.396 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.403 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147979.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147979.403 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1548147979.404 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.404 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.409 * * [misc]simplify: iters left: 5 (22 enodes) 1548147979.414 * * [misc]simplify: iters left: 4 (28 enodes) 1548147979.422 * * [misc]simplify: iters left: 3 (38 enodes) 1548147979.431 * * [misc]simplify: iters left: 2 (40 enodes) 1548147979.438 * * [misc]simplify: iters left: 1 (45 enodes) 1548147979.448 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548147979.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.448 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.448 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.452 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.458 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.464 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.471 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147979.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147979.471 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1548147979.471 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1548147979.471 * * [misc]simplify: iters left: 6 (11 enodes) 1548147979.474 * * [misc]simplify: iters left: 5 (15 enodes) 1548147979.478 * * [misc]simplify: iters left: 4 (18 enodes) 1548147979.483 * * [misc]simplify: iters left: 3 (20 enodes) 1548147979.485 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548147979.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.486 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147979.486 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.487 * * [misc]simplify: iters left: 5 (19 enodes) 1548147979.490 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.494 * * [misc]simplify: iters left: 3 (27 enodes) 1548147979.497 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147979.497 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147979.497 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1548147979.497 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1548147979.497 * * [misc]simplify: iters left: 6 (10 enodes) 1548147979.498 * * [misc]simplify: iters left: 5 (14 enodes) 1548147979.500 * * [misc]simplify: iters left: 4 (19 enodes) 1548147979.502 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548147979.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.503 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147979.503 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.505 * * [misc]simplify: iters left: 5 (19 enodes) 1548147979.507 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.511 * * [misc]simplify: iters left: 3 (27 enodes) 1548147979.514 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147979.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147979.515 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1548147979.515 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548147979.515 * * [misc]simplify: iters left: 6 (10 enodes) 1548147979.516 * * [misc]simplify: iters left: 5 (12 enodes) 1548147979.518 * * [misc]simplify: iters left: 4 (15 enodes) 1548147979.519 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548147979.519 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.520 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147979.520 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.522 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.524 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.528 * * [misc]simplify: iters left: 3 (37 enodes) 1548147979.536 * * [misc]simplify: iters left: 2 (39 enodes) 1548147979.543 * * [misc]simplify: iters left: 1 (44 enodes) 1548147979.552 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548147979.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1548147979.553 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1548147979.553 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147979.553 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.555 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.558 * * [misc]simplify: iters left: 4 (26 enodes) 1548147979.561 * * [misc]simplify: iters left: 3 (28 enodes) 1548147979.564 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1548147979.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548147979.564 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548147979.564 * * [misc]simplify: iters left: 6 (12 enodes) 1548147979.566 * * [misc]simplify: iters left: 5 (15 enodes) 1548147979.568 * * [misc]simplify: iters left: 4 (18 enodes) 1548147979.570 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548147979.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548147979.570 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1548147979.570 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.571 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.573 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.575 * * [misc]simplify: iters left: 4 (24 enodes) 1548147979.578 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.578 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.579 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.580 * * [misc]simplify: iters left: 5 (17 enodes) 1548147979.583 * * [misc]simplify: iters left: 4 (20 enodes) 1548147979.585 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.585 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1548147979.586 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.586 * * [misc]simplify: iters left: 6 (13 enodes) 1548147979.588 * * [misc]simplify: iters left: 5 (18 enodes) 1548147979.590 * * [misc]simplify: iters left: 4 (21 enodes) 1548147979.593 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.593 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.594 * * [misc]simplify: iters left: 6 (14 enodes) 1548147979.596 * * [misc]simplify: iters left: 5 (17 enodes) 1548147979.599 * * [misc]simplify: iters left: 4 (20 enodes) 1548147979.601 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147979.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147979.601 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1548147979.602 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147979.602 * * [misc]simplify: iters left: 6 (12 enodes) 1548147979.604 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.606 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.611 * * [misc]simplify: iters left: 3 (37 enodes) 1548147979.623 * * [misc]simplify: iters left: 2 (64 enodes) 1548147979.642 * * [misc]simplify: iters left: 1 (93 enodes) 1548147979.670 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147979.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147979.670 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147979.670 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.672 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.675 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.678 * * [misc]simplify: iters left: 3 (27 enodes) 1548147979.681 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548147979.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548147979.681 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1548147979.681 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147979.682 * * [misc]simplify: iters left: 6 (12 enodes) 1548147979.683 * * [misc]simplify: iters left: 5 (20 enodes) 1548147979.686 * * [misc]simplify: iters left: 4 (27 enodes) 1548147979.689 * * [misc]simplify: iters left: 3 (37 enodes) 1548147979.697 * * [misc]simplify: iters left: 2 (64 enodes) 1548147979.717 * * [misc]simplify: iters left: 1 (93 enodes) 1548147979.746 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147979.746 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147979.747 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147979.747 * * [misc]simplify: iters left: 6 (15 enodes) 1548147979.751 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.757 * * [misc]simplify: iters left: 4 (25 enodes) 1548147979.764 * * [misc]simplify: iters left: 3 (27 enodes) 1548147979.771 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548147979.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548147979.771 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1548147979.771 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147979.771 * * [misc]simplify: iters left: 6 (13 enodes) 1548147979.776 * * [misc]simplify: iters left: 5 (21 enodes) 1548147979.782 * * [misc]simplify: iters left: 4 (31 enodes) 1548147979.791 * * [misc]simplify: iters left: 3 (51 enodes) 1548147979.807 * * [misc]simplify: iters left: 2 (90 enodes) 1548147979.835 * * [misc]simplify: iters left: 1 (181 enodes) 1548147979.885 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147979.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147979.885 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147979.885 * * [misc]simplify: iters left: 6 (12 enodes) 1548147979.887 * * [misc]simplify: iters left: 5 (16 enodes) 1548147979.889 * * [misc]simplify: iters left: 4 (22 enodes) 1548147979.891 * * [misc]simplify: iters left: 3 (24 enodes) 1548147979.894 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548147979.894 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548147979.894 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1548147979.894 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147979.895 * * [misc]simplify: iters left: 6 (16 enodes) 1548147979.898 * * [misc]simplify: iters left: 5 (29 enodes) 1548147979.906 * * [misc]simplify: iters left: 4 (50 enodes) 1548147979.921 * * [misc]simplify: iters left: 3 (70 enodes) 1548147979.944 * * [misc]simplify: iters left: 2 (169 enodes) 1548147980.042 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548147980.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147980.042 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.042 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.047 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.053 * * [misc]simplify: iters left: 4 (26 enodes) 1548147980.060 * * [misc]simplify: iters left: 3 (28 enodes) 1548147980.066 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147980.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147980.066 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1548147980.066 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.066 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.068 * * [misc]simplify: iters left: 5 (24 enodes) 1548147980.071 * * [misc]simplify: iters left: 4 (34 enodes) 1548147980.076 * * [misc]simplify: iters left: 3 (54 enodes) 1548147980.085 * * [misc]simplify: iters left: 2 (93 enodes) 1548147980.103 * * [misc]simplify: iters left: 1 (182 enodes) 1548147980.171 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147980.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147980.172 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.172 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.176 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.179 * * [misc]simplify: iters left: 4 (26 enodes) 1548147980.182 * * [misc]simplify: iters left: 3 (28 enodes) 1548147980.186 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147980.186 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147980.186 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1548147980.186 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147980.186 * * [misc]simplify: iters left: 6 (7 enodes) 1548147980.187 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.189 * * [misc]simplify: iters left: 4 (22 enodes) 1548147980.192 * * [misc]simplify: iters left: 3 (24 enodes) 1548147980.194 * * [misc]simplify: iters left: 2 (29 enodes) 1548147980.197 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1548147980.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.197 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.198 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.199 * * [misc]simplify: iters left: 5 (19 enodes) 1548147980.202 * * [misc]simplify: iters left: 4 (25 enodes) 1548147980.206 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.213 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548147980.213 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147980.213 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1548147980.213 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147980.213 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.217 * * [misc]simplify: iters left: 5 (17 enodes) 1548147980.221 * * [misc]simplify: iters left: 4 (20 enodes) 1548147980.225 * * [misc]simplify: iters left: 3 (22 enodes) 1548147980.233 * * [misc]simplify: iters left: 2 (34 enodes) 1548147980.242 * * [misc]simplify: iters left: 1 (42 enodes) 1548147980.250 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548147980.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147980.250 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147980.251 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.255 * * [misc]simplify: iters left: 5 (21 enodes) 1548147980.260 * * [misc]simplify: iters left: 4 (25 enodes) 1548147980.266 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.273 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548147980.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548147980.273 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1548147980.273 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147980.273 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.276 * * [misc]simplify: iters left: 5 (17 enodes) 1548147980.281 * * [misc]simplify: iters left: 4 (20 enodes) 1548147980.285 * * [misc]simplify: iters left: 3 (22 enodes) 1548147980.292 * * [misc]simplify: iters left: 2 (34 enodes) 1548147980.300 * * [misc]simplify: iters left: 1 (42 enodes) 1548147980.308 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548147980.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147980.308 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147980.308 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.313 * * [misc]simplify: iters left: 5 (21 enodes) 1548147980.318 * * [misc]simplify: iters left: 4 (25 enodes) 1548147980.324 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.331 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548147980.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548147980.332 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1548147980.332 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147980.332 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.336 * * [misc]simplify: iters left: 5 (18 enodes) 1548147980.340 * * [misc]simplify: iters left: 4 (24 enodes) 1548147980.346 * * [misc]simplify: iters left: 3 (32 enodes) 1548147980.356 * * [misc]simplify: iters left: 2 (41 enodes) 1548147980.365 * * [misc]simplify: iters left: 1 (51 enodes) 1548147980.377 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548147980.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147980.377 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147980.378 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.381 * * [misc]simplify: iters left: 5 (16 enodes) 1548147980.385 * * [misc]simplify: iters left: 4 (22 enodes) 1548147980.391 * * [misc]simplify: iters left: 3 (24 enodes) 1548147980.397 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548147980.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548147980.397 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1548147980.398 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.398 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.402 * * [misc]simplify: iters left: 5 (24 enodes) 1548147980.408 * * [misc]simplify: iters left: 4 (32 enodes) 1548147980.417 * * [misc]simplify: iters left: 3 (43 enodes) 1548147980.425 * * [misc]simplify: iters left: 2 (69 enodes) 1548147980.435 * * [misc]simplify: iters left: 1 (119 enodes) 1548147980.462 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147980.462 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.462 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.464 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.467 * * [misc]simplify: iters left: 4 (26 enodes) 1548147980.473 * * [misc]simplify: iters left: 3 (28 enodes) 1548147980.480 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147980.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147980.480 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1548147980.480 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.480 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.484 * * [misc]simplify: iters left: 5 (21 enodes) 1548147980.490 * * [misc]simplify: iters left: 4 (27 enodes) 1548147980.496 * * [misc]simplify: iters left: 3 (35 enodes) 1548147980.506 * * [misc]simplify: iters left: 2 (43 enodes) 1548147980.516 * * [misc]simplify: iters left: 1 (56 enodes) 1548147980.531 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548147980.531 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147980.531 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.531 * * [misc]simplify: iters left: 6 (15 enodes) 1548147980.535 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.541 * * [misc]simplify: iters left: 4 (26 enodes) 1548147980.547 * * [misc]simplify: iters left: 3 (28 enodes) 1548147980.554 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147980.554 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548147980.554 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1548147980.554 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1548147980.554 * * [misc]simplify: iters left: 6 (6 enodes) 1548147980.556 * * [misc]simplify: iters left: 5 (10 enodes) 1548147980.559 * * [misc]simplify: iters left: 4 (16 enodes) 1548147980.563 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1548147980.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.563 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.563 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.567 * * [misc]simplify: iters left: 5 (19 enodes) 1548147980.572 * * [misc]simplify: iters left: 4 (25 enodes) 1548147980.577 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.581 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548147980.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147980.581 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1548147980.581 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548147980.581 * * [misc]simplify: iters left: 6 (8 enodes) 1548147980.582 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.584 * * [misc]simplify: iters left: 4 (15 enodes) 1548147980.586 * * [misc]simplify: iters left: 3 (19 enodes) 1548147980.588 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548147980.588 * [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))))))) 1548147980.588 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147980.588 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.590 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.593 * * [misc]simplify: iters left: 4 (24 enodes) 1548147980.596 * * [misc]simplify: iters left: 3 (26 enodes) 1548147980.599 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548147980.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548147980.599 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1548147980.600 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548147980.600 * * [misc]simplify: iters left: 6 (8 enodes) 1548147980.601 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.603 * * [misc]simplify: iters left: 4 (15 enodes) 1548147980.605 * * [misc]simplify: iters left: 3 (19 enodes) 1548147980.609 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548147980.609 * [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))))))) 1548147980.609 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147980.610 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.614 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.619 * * [misc]simplify: iters left: 4 (24 enodes) 1548147980.625 * * [misc]simplify: iters left: 3 (26 enodes) 1548147980.630 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548147980.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548147980.630 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1548147980.630 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147980.630 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.632 * * [misc]simplify: iters left: 5 (16 enodes) 1548147980.634 * * [misc]simplify: iters left: 4 (20 enodes) 1548147980.637 * * [misc]simplify: iters left: 3 (24 enodes) 1548147980.640 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548147980.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147980.640 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147980.640 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.641 * * [misc]simplify: iters left: 5 (15 enodes) 1548147980.643 * * [misc]simplify: iters left: 4 (21 enodes) 1548147980.646 * * [misc]simplify: iters left: 3 (23 enodes) 1548147980.649 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147980.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147980.649 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1548147980.649 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.649 * * [misc]simplify: iters left: 6 (13 enodes) 1548147980.652 * * [misc]simplify: iters left: 5 (22 enodes) 1548147980.654 * * [misc]simplify: iters left: 4 (26 enodes) 1548147980.658 * * [misc]simplify: iters left: 3 (32 enodes) 1548147980.663 * * [misc]simplify: iters left: 2 (34 enodes) 1548147980.671 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147980.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147980.671 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.671 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.675 * * [misc]simplify: iters left: 5 (19 enodes) 1548147980.681 * * [misc]simplify: iters left: 4 (25 enodes) 1548147980.687 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.691 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.691 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1548147980.691 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.691 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.694 * * [misc]simplify: iters left: 5 (19 enodes) 1548147980.696 * * [misc]simplify: iters left: 4 (23 enodes) 1548147980.700 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.703 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1548147980.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147980.703 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.703 * * [misc]simplify: iters left: 6 (14 enodes) 1548147980.705 * * [misc]simplify: iters left: 5 (19 enodes) 1548147980.707 * * [misc]simplify: iters left: 4 (25 enodes) 1548147980.711 * * [misc]simplify: iters left: 3 (27 enodes) 1548147980.714 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.714 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1548147980.715 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1548147980.715 * * [misc]simplify: iters left: 4 (3 enodes) 1548147980.715 * * [misc]simplify: iters left: 3 (5 enodes) 1548147980.715 * [exit]simplify: Simplified to 1 1548147980.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.716 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.716 * * [misc]simplify: iters left: 6 (13 enodes) 1548147980.717 * * [misc]simplify: iters left: 5 (18 enodes) 1548147980.720 * * [misc]simplify: iters left: 4 (24 enodes) 1548147980.723 * * [misc]simplify: iters left: 3 (26 enodes) 1548147980.726 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548147980.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548147980.726 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1548147980.726 * [enter]simplify: Simplifying (/ 1 1) 1548147980.726 * * [misc]simplify: iters left: 2 (2 enodes) 1548147980.727 * * [misc]simplify: iters left: 1 (4 enodes) 1548147980.727 * [exit]simplify: Simplified to 1 1548147980.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.727 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.727 * * [misc]simplify: iters left: 6 (13 enodes) 1548147980.729 * * [misc]simplify: iters left: 5 (18 enodes) 1548147980.731 * * [misc]simplify: iters left: 4 (24 enodes) 1548147980.734 * * [misc]simplify: iters left: 3 (26 enodes) 1548147980.737 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548147980.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1548147980.737 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1548147980.737 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1548147980.737 * * [misc]simplify: iters left: 3 (4 enodes) 1548147980.738 * * [misc]simplify: iters left: 2 (6 enodes) 1548147980.739 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1548147980.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.739 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.739 * * [misc]simplify: iters left: 6 (13 enodes) 1548147980.741 * * [misc]simplify: iters left: 5 (20 enodes) 1548147980.744 * * [misc]simplify: iters left: 4 (26 enodes) 1548147980.748 * * [misc]simplify: iters left: 3 (36 enodes) 1548147980.755 * * [misc]simplify: iters left: 2 (38 enodes) 1548147980.761 * * [misc]simplify: iters left: 1 (43 enodes) 1548147980.770 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1548147980.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1548147980.770 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1548147980.771 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1548147980.771 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.773 * * [misc]simplify: iters left: 5 (16 enodes) 1548147980.777 * * [misc]simplify: iters left: 4 (19 enodes) 1548147980.782 * * [misc]simplify: iters left: 3 (21 enodes) 1548147980.789 * * [misc]simplify: iters left: 2 (33 enodes) 1548147980.797 * * [misc]simplify: iters left: 1 (41 enodes) 1548147980.805 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1548147980.805 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1548147980.806 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1548147980.806 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.809 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.813 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.817 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1548147980.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1548147980.817 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1548147980.817 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1548147980.817 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1548147980.817 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1548147980.818 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.818 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.821 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.825 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.829 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.829 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.829 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1548147980.830 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.830 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.833 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.836 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.841 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.841 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1548147980.842 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147980.842 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.844 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.848 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147980.848 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147980.848 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1548147980.848 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147980.848 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.851 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.855 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147980.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147980.855 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1548147980.855 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147980.855 * * [misc]simplify: iters left: 6 (9 enodes) 1548147980.858 * * [misc]simplify: iters left: 5 (11 enodes) 1548147980.861 * * [misc]simplify: iters left: 4 (14 enodes) 1548147980.864 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147980.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548147980.864 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1548147980.865 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.865 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.868 * * [misc]simplify: iters left: 5 (15 enodes) 1548147980.872 * * [misc]simplify: iters left: 4 (18 enodes) 1548147980.876 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.877 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1548147980.877 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.877 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.880 * * [misc]simplify: iters left: 5 (15 enodes) 1548147980.884 * * [misc]simplify: iters left: 4 (18 enodes) 1548147980.889 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.889 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1548147980.889 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.890 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.893 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.897 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.901 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.901 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1548147980.901 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147980.902 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.904 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.908 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147980.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147980.908 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1548147980.908 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147980.908 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.911 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.914 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147980.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548147980.914 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1548147980.915 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147980.915 * * [misc]simplify: iters left: 6 (9 enodes) 1548147980.917 * * [misc]simplify: iters left: 5 (11 enodes) 1548147980.920 * * [misc]simplify: iters left: 4 (14 enodes) 1548147980.924 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147980.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548147980.924 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1548147980.924 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.924 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.929 * * [misc]simplify: iters left: 5 (15 enodes) 1548147980.932 * * [misc]simplify: iters left: 4 (18 enodes) 1548147980.937 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.937 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1548147980.937 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.937 * * [misc]simplify: iters left: 6 (12 enodes) 1548147980.939 * * [misc]simplify: iters left: 5 (15 enodes) 1548147980.941 * * [misc]simplify: iters left: 4 (18 enodes) 1548147980.943 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.943 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1548147980.943 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.943 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.945 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.946 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.948 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.949 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1548147980.949 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548147980.949 * * [misc]simplify: iters left: 6 (9 enodes) 1548147980.950 * * [misc]simplify: iters left: 5 (12 enodes) 1548147980.951 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548147980.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548147980.952 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1548147980.952 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548147980.952 * * [misc]simplify: iters left: 6 (9 enodes) 1548147980.953 * * [misc]simplify: iters left: 5 (12 enodes) 1548147980.955 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548147980.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548147980.955 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1548147980.955 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548147980.955 * * [misc]simplify: iters left: 6 (8 enodes) 1548147980.956 * * [misc]simplify: iters left: 5 (10 enodes) 1548147980.957 * * [misc]simplify: iters left: 4 (13 enodes) 1548147980.959 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548147980.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548147980.959 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1548147980.959 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.959 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.962 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.964 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.966 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.966 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1548147980.966 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.966 * * [misc]simplify: iters left: 6 (11 enodes) 1548147980.968 * * [misc]simplify: iters left: 5 (14 enodes) 1548147980.969 * * [misc]simplify: iters left: 4 (17 enodes) 1548147980.972 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147980.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147980.972 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1548147980.972 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.972 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.973 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.975 * * [misc]simplify: iters left: 4 (16 enodes) 1548147980.977 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.977 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1548147980.977 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.977 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.979 * * [misc]simplify: iters left: 5 (13 enodes) 1548147980.980 * * [misc]simplify: iters left: 4 (16 enodes) 1548147980.982 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147980.982 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1548147980.983 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1548147980.983 * * [misc]simplify: iters left: 6 (10 enodes) 1548147980.984 * * [misc]simplify: iters left: 5 (15 enodes) 1548147980.986 * * [misc]simplify: iters left: 4 (18 enodes) 1548147980.988 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1548147980.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147980.988 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1548147980.988 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548147980.988 * * [misc]simplify: iters left: 3 (6 enodes) 1548147980.989 * * [misc]simplify: iters left: 2 (7 enodes) 1548147980.990 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548147980.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1548147980.990 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1548147980.990 * [enter]simplify: Simplifying (pow PI 1/2) 1548147980.990 * * [misc]simplify: iters left: 1 (3 enodes) 1548147980.991 * [exit]simplify: Simplified to (sqrt PI) 1548147980.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1548147980.991 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1548147980.991 * [enter]simplify: Simplifying (pow PI 1/2) 1548147980.991 * * [misc]simplify: iters left: 1 (3 enodes) 1548147980.991 * [exit]simplify: Simplified to (sqrt PI) 1548147980.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1548147980.991 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1548147980.991 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147980.991 * * [misc]simplify: iters left: 6 (9 enodes) 1548147980.993 * * [misc]simplify: iters left: 5 (11 enodes) 1548147980.994 * * [misc]simplify: iters left: 4 (14 enodes) 1548147980.996 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548147980.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548147980.996 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1548147980.996 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1548147980.996 * * [misc]simplify: iters left: 6 (8 enodes) 1548147980.997 * * [misc]simplify: iters left: 5 (10 enodes) 1548147980.999 * * [misc]simplify: iters left: 4 (13 enodes) 1548147981.001 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548147981.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1548147981.001 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1548147981.001 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1548147981.001 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548147981.001 * * [misc]simplify: iters left: 5 (8 enodes) 1548147981.002 * * [misc]simplify: iters left: 4 (11 enodes) 1548147981.003 * * [misc]simplify: iters left: 3 (14 enodes) 1548147981.006 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548147981.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.006 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1548147981.006 * [enter]simplify: Simplifying (pow PI 1/2) 1548147981.006 * * [misc]simplify: iters left: 1 (3 enodes) 1548147981.007 * [exit]simplify: Simplified to (sqrt PI) 1548147981.007 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1548147981.007 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1548147981.007 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1548147981.007 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548147981.007 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.009 * * [misc]simplify: iters left: 5 (21 enodes) 1548147981.016 * * [misc]simplify: iters left: 4 (44 enodes) 1548147981.032 * * [misc]simplify: iters left: 3 (125 enodes) 1548147981.084 * * [misc]simplify: iters left: 2 (343 enodes) 1548147981.232 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1548147981.232 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1548147981.232 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1548147981.232 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548147981.232 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.236 * * [misc]simplify: iters left: 5 (21 enodes) 1548147981.243 * * [misc]simplify: iters left: 4 (44 enodes) 1548147981.256 * * [misc]simplify: iters left: 3 (125 enodes) 1548147981.283 * * [misc]simplify: iters left: 2 (343 enodes) 1548147981.391 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1548147981.392 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1548147981.392 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1548147981.392 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.392 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.395 * * [misc]simplify: iters left: 5 (19 enodes) 1548147981.401 * * [misc]simplify: iters left: 4 (32 enodes) 1548147981.411 * * [misc]simplify: iters left: 3 (67 enodes) 1548147981.440 * * [misc]simplify: iters left: 2 (194 enodes) 1548147981.513 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548147981.513 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1548147981.513 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1548147981.513 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1548147981.513 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1548147981.513 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.514 * * [misc]simplify: iters left: 6 (14 enodes) 1548147981.519 * * [misc]simplify: iters left: 5 (26 enodes) 1548147981.530 * * [misc]simplify: iters left: 4 (58 enodes) 1548147981.547 * * [misc]simplify: iters left: 3 (117 enodes) 1548147981.566 * * [misc]simplify: iters left: 2 (193 enodes) 1548147981.619 * * [misc]simplify: iters left: 1 (263 enodes) 1548147981.734 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.734 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.734 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1548147981.734 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1548147981.734 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1548147981.734 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1548147981.734 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1548147981.735 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548147981.735 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.736 * * [misc]simplify: iters left: 5 (14 enodes) 1548147981.738 * * [misc]simplify: iters left: 4 (16 enodes) 1548147981.740 * * [misc]simplify: iters left: 3 (17 enodes) 1548147981.742 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548147981.742 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147981.742 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147981.742 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.744 * * [misc]simplify: iters left: 5 (13 enodes) 1548147981.745 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147981.745 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548147981.745 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1548147981.746 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548147981.746 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.747 * * [misc]simplify: iters left: 5 (14 enodes) 1548147981.749 * * [misc]simplify: iters left: 4 (16 enodes) 1548147981.751 * * [misc]simplify: iters left: 3 (17 enodes) 1548147981.753 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548147981.753 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147981.753 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147981.753 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.755 * * [misc]simplify: iters left: 5 (13 enodes) 1548147981.756 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147981.756 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548147981.756 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1548147981.757 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548147981.757 * * [misc]simplify: iters left: 6 (11 enodes) 1548147981.758 * * [misc]simplify: iters left: 5 (15 enodes) 1548147981.760 * * [misc]simplify: iters left: 4 (20 enodes) 1548147981.763 * * [misc]simplify: iters left: 3 (21 enodes) 1548147981.768 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548147981.768 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147981.768 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147981.768 * * [misc]simplify: iters left: 6 (9 enodes) 1548147981.771 * * [misc]simplify: iters left: 5 (11 enodes) 1548147981.774 * * [misc]simplify: iters left: 4 (14 enodes) 1548147981.778 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147981.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147981.778 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1548147981.778 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147981.778 * * [misc]simplify: iters left: 6 (14 enodes) 1548147981.782 * * [misc]simplify: iters left: 5 (23 enodes) 1548147981.785 * * [misc]simplify: iters left: 4 (35 enodes) 1548147981.790 * * [misc]simplify: iters left: 3 (38 enodes) 1548147981.794 * * [misc]simplify: iters left: 2 (41 enodes) 1548147981.800 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147981.800 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.800 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.800 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.802 * * [misc]simplify: iters left: 5 (15 enodes) 1548147981.804 * * [misc]simplify: iters left: 4 (18 enodes) 1548147981.806 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.806 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.806 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1548147981.806 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.806 * * [misc]simplify: iters left: 6 (13 enodes) 1548147981.808 * * [misc]simplify: iters left: 5 (18 enodes) 1548147981.812 * * [misc]simplify: iters left: 4 (23 enodes) 1548147981.818 * * [misc]simplify: iters left: 3 (24 enodes) 1548147981.825 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.825 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.825 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.825 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.828 * * [misc]simplify: iters left: 5 (15 enodes) 1548147981.832 * * [misc]simplify: iters left: 4 (18 enodes) 1548147981.837 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.837 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.837 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1548147981.837 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1548147981.837 * * [misc]simplify: iters left: 6 (6 enodes) 1548147981.839 * * [misc]simplify: iters left: 5 (10 enodes) 1548147981.842 * * [misc]simplify: iters left: 4 (16 enodes) 1548147981.846 * * [misc]simplify: iters left: 3 (18 enodes) 1548147981.849 * * [misc]simplify: iters left: 2 (23 enodes) 1548147981.855 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548147981.855 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147981.855 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147981.855 * * [misc]simplify: iters left: 6 (11 enodes) 1548147981.857 * * [misc]simplify: iters left: 5 (14 enodes) 1548147981.859 * * [misc]simplify: iters left: 4 (17 enodes) 1548147981.861 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147981.861 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147981.861 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1548147981.861 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548147981.861 * * [misc]simplify: iters left: 5 (9 enodes) 1548147981.863 * * [misc]simplify: iters left: 4 (11 enodes) 1548147981.864 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548147981.865 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147981.865 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147981.865 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.866 * * [misc]simplify: iters left: 5 (13 enodes) 1548147981.868 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147981.868 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548147981.868 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1548147981.868 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548147981.868 * * [misc]simplify: iters left: 5 (9 enodes) 1548147981.869 * * [misc]simplify: iters left: 4 (11 enodes) 1548147981.871 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548147981.871 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147981.871 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548147981.871 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.872 * * [misc]simplify: iters left: 5 (13 enodes) 1548147981.874 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548147981.874 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548147981.874 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1548147981.874 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548147981.874 * * [misc]simplify: iters left: 6 (10 enodes) 1548147981.875 * * [misc]simplify: iters left: 5 (12 enodes) 1548147981.878 * * [misc]simplify: iters left: 4 (15 enodes) 1548147981.880 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548147981.880 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147981.880 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147981.880 * * [misc]simplify: iters left: 6 (9 enodes) 1548147981.881 * * [misc]simplify: iters left: 5 (11 enodes) 1548147981.883 * * [misc]simplify: iters left: 4 (14 enodes) 1548147981.884 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548147981.884 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147981.884 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1548147981.885 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147981.885 * * [misc]simplify: iters left: 6 (13 enodes) 1548147981.886 * * [misc]simplify: iters left: 5 (18 enodes) 1548147981.889 * * [misc]simplify: iters left: 4 (21 enodes) 1548147981.892 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147981.892 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.892 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.892 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.893 * * [misc]simplify: iters left: 5 (15 enodes) 1548147981.895 * * [misc]simplify: iters left: 4 (18 enodes) 1548147981.898 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.898 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.898 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1548147981.898 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.898 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.900 * * [misc]simplify: iters left: 5 (15 enodes) 1548147981.903 * * [misc]simplify: iters left: 4 (18 enodes) 1548147981.909 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.909 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.909 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.909 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.913 * * [misc]simplify: iters left: 5 (15 enodes) 1548147981.916 * * [misc]simplify: iters left: 4 (18 enodes) 1548147981.921 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.921 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.921 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1548147981.922 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1548147981.922 * * [misc]simplify: iters left: 4 (5 enodes) 1548147981.923 * * [misc]simplify: iters left: 3 (7 enodes) 1548147981.926 * * [misc]simplify: iters left: 2 (9 enodes) 1548147981.927 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548147981.928 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147981.928 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147981.928 * * [misc]simplify: iters left: 6 (11 enodes) 1548147981.931 * * [misc]simplify: iters left: 5 (14 enodes) 1548147981.935 * * [misc]simplify: iters left: 4 (17 enodes) 1548147981.939 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147981.939 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147981.939 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1548147981.939 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548147981.939 * * [misc]simplify: iters left: 5 (7 enodes) 1548147981.941 * * [misc]simplify: iters left: 4 (11 enodes) 1548147981.944 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548147981.944 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147981.944 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548147981.944 * * [misc]simplify: iters left: 6 (9 enodes) 1548147981.947 * * [misc]simplify: iters left: 5 (12 enodes) 1548147981.950 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548147981.950 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548147981.950 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1548147981.951 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548147981.951 * * [misc]simplify: iters left: 5 (7 enodes) 1548147981.953 * * [misc]simplify: iters left: 4 (11 enodes) 1548147981.955 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548147981.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147981.955 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548147981.956 * * [misc]simplify: iters left: 6 (9 enodes) 1548147981.958 * * [misc]simplify: iters left: 5 (12 enodes) 1548147981.961 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548147981.961 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548147981.961 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1548147981.962 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548147981.962 * * [misc]simplify: iters left: 6 (9 enodes) 1548147981.964 * * [misc]simplify: iters left: 5 (13 enodes) 1548147981.967 * * [misc]simplify: iters left: 4 (16 enodes) 1548147981.971 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548147981.971 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147981.971 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548147981.972 * * [misc]simplify: iters left: 6 (8 enodes) 1548147981.974 * * [misc]simplify: iters left: 5 (10 enodes) 1548147981.976 * * [misc]simplify: iters left: 4 (13 enodes) 1548147981.980 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548147981.980 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147981.980 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1548147981.980 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147981.980 * * [misc]simplify: iters left: 6 (12 enodes) 1548147981.984 * * [misc]simplify: iters left: 5 (19 enodes) 1548147981.989 * * [misc]simplify: iters left: 4 (22 enodes) 1548147981.994 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147981.994 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147981.995 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147981.995 * * [misc]simplify: iters left: 6 (11 enodes) 1548147981.999 * * [misc]simplify: iters left: 5 (14 enodes) 1548147982.003 * * [misc]simplify: iters left: 4 (17 enodes) 1548147982.008 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147982.008 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147982.008 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1548147982.008 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147982.009 * * [misc]simplify: iters left: 6 (11 enodes) 1548147982.012 * * [misc]simplify: iters left: 5 (16 enodes) 1548147982.014 * * [misc]simplify: iters left: 4 (19 enodes) 1548147982.017 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147982.017 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147982.017 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147982.017 * * [misc]simplify: iters left: 6 (11 enodes) 1548147982.019 * * [misc]simplify: iters left: 5 (14 enodes) 1548147982.020 * * [misc]simplify: iters left: 4 (17 enodes) 1548147982.023 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147982.023 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147982.023 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1548147982.023 * [enter]simplify: Simplifying (/ 1 1) 1548147982.023 * * [misc]simplify: iters left: 2 (2 enodes) 1548147982.023 * * [misc]simplify: iters left: 1 (4 enodes) 1548147982.024 * [exit]simplify: Simplified to 1 1548147982.024 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147982.024 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147982.024 * * [misc]simplify: iters left: 6 (10 enodes) 1548147982.025 * * [misc]simplify: iters left: 5 (13 enodes) 1548147982.027 * * [misc]simplify: iters left: 4 (16 enodes) 1548147982.029 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548147982.029 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147982.029 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1548147982.029 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1548147982.029 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1548147982.029 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1548147982.029 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548147982.029 * * [misc]simplify: iters left: 5 (7 enodes) 1548147982.030 * * [misc]simplify: iters left: 4 (10 enodes) 1548147982.032 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548147982.032 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548147982.032 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1548147982.032 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548147982.032 * * [misc]simplify: iters left: 5 (7 enodes) 1548147982.033 * * [misc]simplify: iters left: 4 (10 enodes) 1548147982.034 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548147982.034 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548147982.034 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1548147982.034 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1548147982.034 * * [misc]simplify: iters left: 5 (6 enodes) 1548147982.035 * * [misc]simplify: iters left: 4 (8 enodes) 1548147982.036 * * [misc]simplify: iters left: 3 (11 enodes) 1548147982.038 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1548147982.038 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1548147982.038 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1548147982.038 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548147982.038 * * [misc]simplify: iters left: 6 (9 enodes) 1548147982.039 * * [misc]simplify: iters left: 5 (12 enodes) 1548147982.041 * * [misc]simplify: iters left: 4 (15 enodes) 1548147982.043 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548147982.043 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147982.043 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1548147982.043 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548147982.043 * * [misc]simplify: iters left: 6 (9 enodes) 1548147982.044 * * [misc]simplify: iters left: 5 (12 enodes) 1548147982.046 * * [misc]simplify: iters left: 4 (15 enodes) 1548147982.048 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548147982.048 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147982.048 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1548147982.048 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548147982.048 * * [misc]simplify: iters left: 5 (8 enodes) 1548147982.051 * * [misc]simplify: iters left: 4 (11 enodes) 1548147982.054 * * [misc]simplify: iters left: 3 (14 enodes) 1548147982.057 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548147982.058 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147982.058 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1548147982.058 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548147982.058 * * [misc]simplify: iters left: 4 (4 enodes) 1548147982.059 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548147982.059 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548147982.059 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1548147982.060 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548147982.060 * * [misc]simplify: iters left: 2 (3 enodes) 1548147982.061 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548147982.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548147982.061 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1548147982.061 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1548147982.061 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548147982.061 * * [misc]simplify: iters left: 3 (6 enodes) 1548147982.063 * * [misc]simplify: iters left: 2 (7 enodes) 1548147982.065 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548147982.065 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1548147982.065 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1548147982.066 * [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))))) 1548147982.066 * * [misc]simplify: iters left: 6 (35 enodes) 1548147982.081 * * [misc]simplify: iters left: 5 (99 enodes) 1548147982.110 * * [misc]simplify: iters left: 4 (298 enodes) 1548147982.236 * [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))))))) 1548147982.236 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1548147982.237 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1548147982.237 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1548147982.237 * * [misc]simplify: iters left: 6 (13 enodes) 1548147982.242 * * [misc]simplify: iters left: 5 (27 enodes) 1548147982.247 * * [misc]simplify: iters left: 4 (53 enodes) 1548147982.256 * * [misc]simplify: iters left: 3 (116 enodes) 1548147982.294 * * [misc]simplify: iters left: 2 (362 enodes) 1548147982.545 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1548147982.545 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1548147982.545 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1548147982.546 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1548147982.546 * * [misc]simplify: iters left: 6 (13 enodes) 1548147982.550 * * [misc]simplify: iters left: 5 (24 enodes) 1548147982.554 * * [misc]simplify: iters left: 4 (54 enodes) 1548147982.565 * * [misc]simplify: iters left: 3 (143 enodes) 1548147982.624 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1548147982.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1548147982.624 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1548147982.625 * [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)))) 1548147982.625 * * [misc]simplify: iters left: 6 (18 enodes) 1548147982.630 * * [misc]simplify: iters left: 5 (39 enodes) 1548147982.645 * * [misc]simplify: iters left: 4 (104 enodes) 1548147982.665 * * [misc]simplify: iters left: 3 (275 enodes) 1548147982.787 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1548147982.787 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147982.787 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1548147982.787 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548147982.788 * * [misc]simplify: iters left: 5 (6 enodes) 1548147982.789 * * [misc]simplify: iters left: 4 (9 enodes) 1548147982.793 * * [misc]simplify: iters left: 3 (17 enodes) 1548147982.796 * * [misc]simplify: iters left: 2 (20 enodes) 1548147982.801 * * [misc]simplify: iters left: 1 (24 enodes) 1548147982.809 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1548147982.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147982.809 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1548147982.809 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548147982.809 * * [misc]simplify: iters left: 5 (6 enodes) 1548147982.811 * * [misc]simplify: iters left: 4 (9 enodes) 1548147982.817 * * [misc]simplify: iters left: 3 (17 enodes) 1548147982.821 * * [misc]simplify: iters left: 2 (20 enodes) 1548147982.825 * * [misc]simplify: iters left: 1 (24 enodes) 1548147982.833 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1548147982.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147982.833 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1548147982.833 * [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))))))))))))))) 1548147982.833 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548147982.833 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1548147982.834 * [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)))))))) 1548147982.834 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548147982.834 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1548147982.834 * [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)))))))) 1548147982.834 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548147982.834 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1548147982.834 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548147982.834 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1548147982.834 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1548147982.835 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548147982.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1548147982.835 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1548147982.835 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548147982.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1548147982.835 * * * [misc]progress: adding candidates to table 1548147985.880 * * [misc]progress: iteration 3 / 4 1548147985.880 * * * [misc]progress: picking best candidate 1548147985.908 * * * * [misc]pick: Picked # 1548147985.908 * * * [misc]progress: localizing error 1548147985.930 * * * [misc]progress: generating rewritten candidates 1548147985.931 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1548147985.933 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1548147985.951 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1548147985.954 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1548147985.964 * * * [misc]progress: generating series expansions 1548147985.964 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1548147985.964 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1548147985.964 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1548147985.964 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147985.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.965 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147985.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.965 * [misc]taylor: Taking taylor expansion of k in k 1548147985.965 * [misc]backup-simplify: Simplify 0 into 0 1548147985.965 * [misc]backup-simplify: Simplify 1 into 1 1548147985.965 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147985.965 * [misc]taylor: Taking taylor expansion of 2 in k 1548147985.965 * [misc]backup-simplify: Simplify 2 into 2 1548147985.965 * [misc]taylor: Taking taylor expansion of n in k 1548147985.965 * [misc]backup-simplify: Simplify n into n 1548147985.965 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147985.965 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147985.965 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147985.965 * [misc]backup-simplify: Simplify (- 0) into 0 1548147985.965 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147985.966 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147985.966 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147985.966 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147985.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.966 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147985.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.966 * [misc]taylor: Taking taylor expansion of k in n 1548147985.966 * [misc]backup-simplify: Simplify k into k 1548147985.966 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147985.966 * [misc]taylor: Taking taylor expansion of 2 in n 1548147985.966 * [misc]backup-simplify: Simplify 2 into 2 1548147985.966 * [misc]taylor: Taking taylor expansion of n in n 1548147985.966 * [misc]backup-simplify: Simplify 0 into 0 1548147985.966 * [misc]backup-simplify: Simplify 1 into 1 1548147985.966 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147985.966 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147985.966 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147985.966 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147985.966 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147985.966 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147985.967 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147985.967 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147985.967 * [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)))) 1548147985.967 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147985.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.967 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147985.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.967 * [misc]taylor: Taking taylor expansion of k in n 1548147985.967 * [misc]backup-simplify: Simplify k into k 1548147985.967 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147985.967 * [misc]taylor: Taking taylor expansion of 2 in n 1548147985.967 * [misc]backup-simplify: Simplify 2 into 2 1548147985.967 * [misc]taylor: Taking taylor expansion of n in n 1548147985.967 * [misc]backup-simplify: Simplify 0 into 0 1548147985.967 * [misc]backup-simplify: Simplify 1 into 1 1548147985.967 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147985.968 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147985.968 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147985.968 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147985.968 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147985.968 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147985.968 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147985.968 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147985.968 * [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)))) 1548147985.969 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of 2 in k 1548147985.969 * [misc]backup-simplify: Simplify 2 into 2 1548147985.969 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147985.969 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of n in k 1548147985.969 * [misc]backup-simplify: Simplify n into n 1548147985.969 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147985.969 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147985.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.969 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147985.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147985.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147985.969 * [misc]taylor: Taking taylor expansion of k in k 1548147985.969 * [misc]backup-simplify: Simplify 0 into 0 1548147985.969 * [misc]backup-simplify: Simplify 1 into 1 1548147985.969 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1548147985.969 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147985.969 * [misc]backup-simplify: Simplify (- 0) into 0 1548147985.969 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147985.970 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1548147985.970 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548147985.970 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1548147985.970 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548147985.972 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147985.972 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548147985.972 * [misc]backup-simplify: Simplify (- 0) into 0 1548147985.972 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147985.972 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147985.973 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1548147985.974 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147985.974 * [misc]taylor: Taking taylor expansion of 0 in k 1548147985.974 * [misc]backup-simplify: Simplify 0 into 0 1548147985.974 * [misc]backup-simplify: Simplify 0 into 0 1548147985.975 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147985.975 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147985.975 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147985.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147985.978 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548147985.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147985.979 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1548147985.979 * [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))))) 1548147985.980 * [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))))) 1548147985.980 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147985.985 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548147985.985 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548147985.986 * [misc]backup-simplify: Simplify (- 0) into 0 1548147985.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147985.986 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147985.987 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1548147985.989 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548147985.989 * [misc]taylor: Taking taylor expansion of 0 in k 1548147985.989 * [misc]backup-simplify: Simplify 0 into 0 1548147985.989 * [misc]backup-simplify: Simplify 0 into 0 1548147985.989 * [misc]backup-simplify: Simplify 0 into 0 1548147985.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147985.990 * [misc]backup-simplify: Simplify (- 0) into 0 1548147985.990 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147985.994 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548147985.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548147985.996 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147985.996 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1548147985.998 * [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))))) 1548147985.999 * [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))))) 1548147986.002 * [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))))) 1548147986.002 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.002 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548147986.002 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.002 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147986.002 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147986.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.002 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.003 * [misc]taylor: Taking taylor expansion of k in k 1548147986.003 * [misc]backup-simplify: Simplify 0 into 0 1548147986.003 * [misc]backup-simplify: Simplify 1 into 1 1548147986.003 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.003 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147986.003 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147986.003 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.003 * [misc]backup-simplify: Simplify 2 into 2 1548147986.003 * [misc]taylor: Taking taylor expansion of n in k 1548147986.003 * [misc]backup-simplify: Simplify n into n 1548147986.003 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147986.003 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147986.003 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.003 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.004 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.004 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147986.004 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.004 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of k in n 1548147986.004 * [misc]backup-simplify: Simplify k into k 1548147986.004 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.004 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.004 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.004 * [misc]backup-simplify: Simplify 2 into 2 1548147986.004 * [misc]taylor: Taking taylor expansion of n in n 1548147986.004 * [misc]backup-simplify: Simplify 0 into 0 1548147986.004 * [misc]backup-simplify: Simplify 1 into 1 1548147986.005 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.005 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.005 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.005 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.006 * [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))) 1548147986.006 * [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)))) 1548147986.006 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of k in n 1548147986.006 * [misc]backup-simplify: Simplify k into k 1548147986.006 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.006 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.006 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.007 * [misc]backup-simplify: Simplify 2 into 2 1548147986.007 * [misc]taylor: Taking taylor expansion of n in n 1548147986.007 * [misc]backup-simplify: Simplify 0 into 0 1548147986.007 * [misc]backup-simplify: Simplify 1 into 1 1548147986.007 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.007 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.007 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.007 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.007 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.008 * [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))) 1548147986.008 * [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)))) 1548147986.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1548147986.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1548147986.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.009 * [misc]taylor: Taking taylor expansion of k in k 1548147986.009 * [misc]backup-simplify: Simplify 0 into 0 1548147986.009 * [misc]backup-simplify: Simplify 1 into 1 1548147986.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.009 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1548147986.009 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548147986.009 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.009 * [misc]backup-simplify: Simplify 2 into 2 1548147986.009 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.009 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147986.009 * [misc]taylor: Taking taylor expansion of n in k 1548147986.009 * [misc]backup-simplify: Simplify n into n 1548147986.009 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147986.009 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.010 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.010 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147986.010 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1548147986.010 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1548147986.010 * [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)))) 1548147986.011 * [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)))) 1548147986.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548147986.014 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147986.014 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.014 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.015 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548147986.016 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.016 * [misc]taylor: Taking taylor expansion of 0 in k 1548147986.016 * [misc]backup-simplify: Simplify 0 into 0 1548147986.016 * [misc]backup-simplify: Simplify 0 into 0 1548147986.016 * [misc]backup-simplify: Simplify 0 into 0 1548147986.017 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.021 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548147986.021 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147986.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147986.022 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.022 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.023 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1548147986.025 * [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 1548147986.025 * [misc]taylor: Taking taylor expansion of 0 in k 1548147986.025 * [misc]backup-simplify: Simplify 0 into 0 1548147986.025 * [misc]backup-simplify: Simplify 0 into 0 1548147986.025 * [misc]backup-simplify: Simplify 0 into 0 1548147986.025 * [misc]backup-simplify: Simplify 0 into 0 1548147986.026 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.031 * [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 1548147986.031 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147986.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147986.031 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.032 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.032 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1548147986.034 * [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 1548147986.034 * [misc]taylor: Taking taylor expansion of 0 in k 1548147986.034 * [misc]backup-simplify: Simplify 0 into 0 1548147986.034 * [misc]backup-simplify: Simplify 0 into 0 1548147986.034 * [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)))) 1548147986.035 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.035 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548147986.035 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of k in k 1548147986.035 * [misc]backup-simplify: Simplify 0 into 0 1548147986.035 * [misc]backup-simplify: Simplify 1 into 1 1548147986.035 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.035 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147986.035 * [misc]taylor: Taking taylor expansion of -2 in k 1548147986.035 * [misc]backup-simplify: Simplify -2 into -2 1548147986.035 * [misc]taylor: Taking taylor expansion of n in k 1548147986.035 * [misc]backup-simplify: Simplify n into n 1548147986.035 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147986.035 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147986.036 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.036 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.036 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147986.036 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.036 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.036 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of k in n 1548147986.036 * [misc]backup-simplify: Simplify k into k 1548147986.036 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.036 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.036 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.036 * [misc]backup-simplify: Simplify -2 into -2 1548147986.036 * [misc]taylor: Taking taylor expansion of n in n 1548147986.036 * [misc]backup-simplify: Simplify 0 into 0 1548147986.036 * [misc]backup-simplify: Simplify 1 into 1 1548147986.036 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.037 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.037 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.037 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.037 * [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))) 1548147986.037 * [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)))) 1548147986.037 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.037 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.037 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.037 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.037 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.037 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.037 * [misc]taylor: Taking taylor expansion of k in n 1548147986.037 * [misc]backup-simplify: Simplify k into k 1548147986.038 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.038 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.038 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.038 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.038 * [misc]backup-simplify: Simplify -2 into -2 1548147986.038 * [misc]taylor: Taking taylor expansion of n in n 1548147986.038 * [misc]backup-simplify: Simplify 0 into 0 1548147986.038 * [misc]backup-simplify: Simplify 1 into 1 1548147986.038 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.038 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.038 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.038 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.038 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.038 * [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))) 1548147986.039 * [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)))) 1548147986.039 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.039 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of k in k 1548147986.039 * [misc]backup-simplify: Simplify 0 into 0 1548147986.039 * [misc]backup-simplify: Simplify 1 into 1 1548147986.039 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.039 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of (log -2) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of -2 in k 1548147986.039 * [misc]backup-simplify: Simplify -2 into -2 1548147986.039 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.039 * [misc]taylor: Taking taylor expansion of (log n) in k 1548147986.039 * [misc]taylor: Taking taylor expansion of n in k 1548147986.039 * [misc]backup-simplify: Simplify n into n 1548147986.039 * [misc]backup-simplify: Simplify (log n) into (log n) 1548147986.039 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.039 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.040 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548147986.040 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1548147986.040 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1548147986.040 * [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)))) 1548147986.040 * [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)))) 1548147986.040 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548147986.042 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548147986.042 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.043 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548147986.044 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.044 * [misc]taylor: Taking taylor expansion of 0 in k 1548147986.044 * [misc]backup-simplify: Simplify 0 into 0 1548147986.044 * [misc]backup-simplify: Simplify 0 into 0 1548147986.044 * [misc]backup-simplify: Simplify 0 into 0 1548147986.044 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.046 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1548147986.047 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147986.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548147986.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.047 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.047 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1548147986.049 * [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 1548147986.049 * [misc]taylor: Taking taylor expansion of 0 in k 1548147986.049 * [misc]backup-simplify: Simplify 0 into 0 1548147986.049 * [misc]backup-simplify: Simplify 0 into 0 1548147986.049 * [misc]backup-simplify: Simplify 0 into 0 1548147986.049 * [misc]backup-simplify: Simplify 0 into 0 1548147986.049 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.056 * [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 1548147986.056 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548147986.057 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548147986.057 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.057 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.058 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1548147986.060 * [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 1548147986.060 * [misc]taylor: Taking taylor expansion of 0 in k 1548147986.060 * [misc]backup-simplify: Simplify 0 into 0 1548147986.060 * [misc]backup-simplify: Simplify 0 into 0 1548147986.060 * [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))))) 1548147986.060 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1548147986.060 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1548147986.060 * [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 1548147986.060 * [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 1548147986.060 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.061 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.061 * [misc]taylor: Taking taylor expansion of k in n 1548147986.061 * [misc]backup-simplify: Simplify k into k 1548147986.061 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.061 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.061 * [misc]backup-simplify: Simplify 2 into 2 1548147986.061 * [misc]taylor: Taking taylor expansion of n in n 1548147986.061 * [misc]backup-simplify: Simplify 0 into 0 1548147986.061 * [misc]backup-simplify: Simplify 1 into 1 1548147986.061 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.061 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.061 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.061 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147986.061 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147986.061 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147986.062 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.062 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147986.062 * [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)))) 1548147986.062 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1548147986.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1548147986.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1548147986.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147986.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.062 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147986.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.062 * [misc]taylor: Taking taylor expansion of k in n 1548147986.062 * [misc]backup-simplify: Simplify k into k 1548147986.062 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.062 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.062 * [misc]backup-simplify: Simplify PI into PI 1548147986.062 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.062 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147986.062 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147986.062 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147986.063 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548147986.063 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1548147986.063 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548147986.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.063 * [misc]taylor: Taking taylor expansion of k in n 1548147986.063 * [misc]backup-simplify: Simplify k into k 1548147986.063 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.063 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548147986.063 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.063 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548147986.063 * [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 1548147986.063 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.063 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.063 * [misc]taylor: Taking taylor expansion of k in k 1548147986.063 * [misc]backup-simplify: Simplify 0 into 0 1548147986.063 * [misc]backup-simplify: Simplify 1 into 1 1548147986.063 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147986.063 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.063 * [misc]backup-simplify: Simplify 2 into 2 1548147986.063 * [misc]taylor: Taking taylor expansion of n in k 1548147986.063 * [misc]backup-simplify: Simplify n into n 1548147986.064 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147986.064 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147986.064 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.064 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.064 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147986.064 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147986.064 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548147986.064 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548147986.064 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147986.064 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.064 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.064 * [misc]taylor: Taking taylor expansion of k in k 1548147986.064 * [misc]backup-simplify: Simplify 0 into 0 1548147986.064 * [misc]backup-simplify: Simplify 1 into 1 1548147986.064 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.064 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.064 * [misc]backup-simplify: Simplify PI into PI 1548147986.065 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.065 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.065 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.065 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.065 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.066 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548147986.066 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147986.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.066 * [misc]taylor: Taking taylor expansion of k in k 1548147986.066 * [misc]backup-simplify: Simplify 0 into 0 1548147986.066 * [misc]backup-simplify: Simplify 1 into 1 1548147986.066 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.066 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.067 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.067 * [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 1548147986.067 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.067 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.067 * [misc]taylor: Taking taylor expansion of k in k 1548147986.067 * [misc]backup-simplify: Simplify 0 into 0 1548147986.067 * [misc]backup-simplify: Simplify 1 into 1 1548147986.067 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147986.067 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.067 * [misc]backup-simplify: Simplify 2 into 2 1548147986.067 * [misc]taylor: Taking taylor expansion of n in k 1548147986.067 * [misc]backup-simplify: Simplify n into n 1548147986.067 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147986.067 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147986.068 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.068 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.068 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.068 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147986.068 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147986.068 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548147986.068 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548147986.068 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147986.068 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.068 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.068 * [misc]taylor: Taking taylor expansion of k in k 1548147986.068 * [misc]backup-simplify: Simplify 0 into 0 1548147986.068 * [misc]backup-simplify: Simplify 1 into 1 1548147986.068 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.068 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.069 * [misc]backup-simplify: Simplify PI into PI 1548147986.069 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.069 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.069 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.069 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.070 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.070 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548147986.070 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147986.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.070 * [misc]taylor: Taking taylor expansion of k in k 1548147986.071 * [misc]backup-simplify: Simplify 0 into 0 1548147986.071 * [misc]backup-simplify: Simplify 1 into 1 1548147986.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.071 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.072 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1548147986.072 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1548147986.072 * [misc]taylor: Taking taylor expansion of 0 in n 1548147986.072 * [misc]backup-simplify: Simplify 0 into 0 1548147986.072 * [misc]backup-simplify: Simplify 0 into 0 1548147986.075 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.075 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147986.075 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.075 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548147986.079 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548147986.079 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548147986.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548147986.080 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147986.080 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.080 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.081 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548147986.081 * [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)))) 1548147986.083 * [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)))))) 1548147986.084 * [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))))) 1548147986.084 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1548147986.084 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548147986.084 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.084 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.084 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548147986.084 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.084 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.084 * [misc]backup-simplify: Simplify 2 into 2 1548147986.084 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.085 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.085 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147986.085 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147986.085 * [misc]taylor: Taking taylor expansion of n in n 1548147986.085 * [misc]backup-simplify: Simplify 0 into 0 1548147986.085 * [misc]backup-simplify: Simplify 1 into 1 1548147986.085 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.085 * [misc]backup-simplify: Simplify PI into PI 1548147986.085 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147986.086 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147986.086 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.086 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.086 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548147986.087 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.087 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.087 * [misc]backup-simplify: Simplify 0 into 0 1548147986.087 * [misc]backup-simplify: Simplify 0 into 0 1548147986.087 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147986.088 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.092 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548147986.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147986.092 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.093 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548147986.096 * [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))) 1548147986.096 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548147986.097 * [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 1548147986.097 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147986.097 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.097 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.098 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548147986.098 * [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))) 1548147986.100 * [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))))))) 1548147986.103 * [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))))))))) 1548147986.103 * [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 1548147986.103 * [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 1548147986.103 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.103 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.103 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.103 * [misc]backup-simplify: Simplify 2 into 2 1548147986.103 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.103 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.103 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.103 * [misc]backup-simplify: Simplify PI into PI 1548147986.103 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.103 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147986.103 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.103 * [misc]backup-simplify: Simplify PI into PI 1548147986.103 * [misc]taylor: Taking taylor expansion of n in n 1548147986.103 * [misc]backup-simplify: Simplify 0 into 0 1548147986.103 * [misc]backup-simplify: Simplify 1 into 1 1548147986.104 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147986.104 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147986.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.104 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.104 * [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 1548147986.104 * [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 1548147986.104 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548147986.104 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.104 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.104 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548147986.105 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.105 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.105 * [misc]backup-simplify: Simplify 2 into 2 1548147986.105 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.105 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.105 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147986.105 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147986.105 * [misc]taylor: Taking taylor expansion of n in n 1548147986.105 * [misc]backup-simplify: Simplify 0 into 0 1548147986.105 * [misc]backup-simplify: Simplify 1 into 1 1548147986.105 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.105 * [misc]backup-simplify: Simplify PI into PI 1548147986.105 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147986.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147986.106 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.106 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.106 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.106 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.106 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.106 * [misc]backup-simplify: Simplify 2 into 2 1548147986.106 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.106 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.106 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.106 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.106 * [misc]backup-simplify: Simplify 2 into 2 1548147986.106 * [misc]taylor: Taking taylor expansion of n in n 1548147986.106 * [misc]backup-simplify: Simplify 0 into 0 1548147986.106 * [misc]backup-simplify: Simplify 1 into 1 1548147986.106 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.107 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.107 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.107 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147986.107 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147986.107 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.107 * [misc]backup-simplify: Simplify PI into PI 1548147986.107 * [misc]taylor: Taking taylor expansion of n in n 1548147986.107 * [misc]backup-simplify: Simplify 0 into 0 1548147986.107 * [misc]backup-simplify: Simplify 1 into 1 1548147986.107 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147986.107 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147986.107 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.108 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.108 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548147986.109 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548147986.109 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.109 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548147986.109 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.109 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.110 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548147986.110 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.110 * [misc]backup-simplify: Simplify 0 into 0 1548147986.111 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147986.112 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147986.113 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147986.114 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147986.114 * [misc]backup-simplify: Simplify 0 into 0 1548147986.114 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.115 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147986.119 * [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 1548147986.119 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147986.119 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.119 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548147986.125 * [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))) 1548147986.125 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1548147986.128 * [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 1548147986.128 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147986.128 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1548147986.131 * [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))) 1548147986.137 * [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))))))))) 1548147986.143 * [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))))))))))))))) 1548147986.143 * [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 1548147986.143 * [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 1548147986.143 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1548147986.143 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.143 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.143 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1548147986.143 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1548147986.144 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.144 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.144 * [misc]backup-simplify: Simplify 2 into 2 1548147986.144 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.144 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.144 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.144 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.144 * [misc]backup-simplify: Simplify PI into PI 1548147986.144 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.144 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147986.144 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147986.144 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.144 * [misc]backup-simplify: Simplify PI into PI 1548147986.144 * [misc]taylor: Taking taylor expansion of n in n 1548147986.144 * [misc]backup-simplify: Simplify 0 into 0 1548147986.144 * [misc]backup-simplify: Simplify 1 into 1 1548147986.144 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147986.145 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147986.145 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.145 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.145 * [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 1548147986.145 * [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 1548147986.145 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1548147986.145 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.145 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.145 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1548147986.145 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1548147986.145 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.145 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.145 * [misc]backup-simplify: Simplify 2 into 2 1548147986.146 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.146 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.146 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1548147986.146 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.146 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.146 * [misc]backup-simplify: Simplify PI into PI 1548147986.146 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.146 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147986.146 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147986.146 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.146 * [misc]backup-simplify: Simplify PI into PI 1548147986.146 * [misc]taylor: Taking taylor expansion of n in n 1548147986.146 * [misc]backup-simplify: Simplify 0 into 0 1548147986.146 * [misc]backup-simplify: Simplify 1 into 1 1548147986.146 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147986.147 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147986.147 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.147 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.147 * [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 1548147986.147 * [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 1548147986.147 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1548147986.147 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.147 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.147 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1548147986.147 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1548147986.147 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.147 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.147 * [misc]backup-simplify: Simplify 2 into 2 1548147986.147 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.148 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1548147986.148 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.148 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.148 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.148 * [misc]backup-simplify: Simplify 2 into 2 1548147986.148 * [misc]taylor: Taking taylor expansion of n in n 1548147986.148 * [misc]backup-simplify: Simplify 0 into 0 1548147986.148 * [misc]backup-simplify: Simplify 1 into 1 1548147986.148 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.148 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.148 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.148 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.148 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147986.148 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147986.148 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.148 * [misc]backup-simplify: Simplify PI into PI 1548147986.148 * [misc]taylor: Taking taylor expansion of n in n 1548147986.148 * [misc]backup-simplify: Simplify 0 into 0 1548147986.148 * [misc]backup-simplify: Simplify 1 into 1 1548147986.149 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147986.149 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147986.149 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.149 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.149 * [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 1548147986.149 * [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 1548147986.149 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1548147986.149 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.149 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.149 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1548147986.149 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1548147986.149 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.149 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.149 * [misc]backup-simplify: Simplify 2 into 2 1548147986.150 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.150 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1548147986.150 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.150 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.150 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.150 * [misc]backup-simplify: Simplify 2 into 2 1548147986.150 * [misc]taylor: Taking taylor expansion of n in n 1548147986.150 * [misc]backup-simplify: Simplify 0 into 0 1548147986.150 * [misc]backup-simplify: Simplify 1 into 1 1548147986.150 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.150 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.150 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.150 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.150 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.150 * [misc]backup-simplify: Simplify PI into PI 1548147986.150 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.150 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147986.150 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147986.150 * [misc]taylor: Taking taylor expansion of n in n 1548147986.151 * [misc]backup-simplify: Simplify 0 into 0 1548147986.151 * [misc]backup-simplify: Simplify 1 into 1 1548147986.151 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.151 * [misc]backup-simplify: Simplify PI into PI 1548147986.151 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147986.151 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147986.151 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.151 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.151 * [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 1548147986.152 * [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 1548147986.152 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1548147986.152 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.152 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.152 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1548147986.152 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.152 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.152 * [misc]backup-simplify: Simplify 2 into 2 1548147986.152 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.152 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548147986.152 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548147986.152 * [misc]taylor: Taking taylor expansion of n in n 1548147986.152 * [misc]backup-simplify: Simplify 0 into 0 1548147986.152 * [misc]backup-simplify: Simplify 1 into 1 1548147986.152 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.152 * [misc]backup-simplify: Simplify PI into PI 1548147986.152 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548147986.153 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548147986.153 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.153 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.153 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.153 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.153 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.153 * [misc]backup-simplify: Simplify 2 into 2 1548147986.153 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.153 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.153 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.153 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.153 * [misc]backup-simplify: Simplify 2 into 2 1548147986.153 * [misc]taylor: Taking taylor expansion of n in n 1548147986.153 * [misc]backup-simplify: Simplify 0 into 0 1548147986.153 * [misc]backup-simplify: Simplify 1 into 1 1548147986.154 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.154 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.154 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.154 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1548147986.154 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1548147986.154 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.154 * [misc]backup-simplify: Simplify PI into PI 1548147986.154 * [misc]taylor: Taking taylor expansion of n in n 1548147986.154 * [misc]backup-simplify: Simplify 0 into 0 1548147986.154 * [misc]backup-simplify: Simplify 1 into 1 1548147986.154 * [misc]backup-simplify: Simplify (* PI 0) into 0 1548147986.154 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1548147986.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.155 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548147986.155 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1548147986.156 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1548147986.156 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.157 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1548147986.157 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1548147986.158 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1548147986.158 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.158 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.159 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.159 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1548147986.159 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1548147986.159 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1548147986.159 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.160 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.160 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1548147986.160 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1548147986.161 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1548147986.161 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.161 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1548147986.161 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.161 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.162 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1548147986.162 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.163 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.163 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.163 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.163 * [misc]backup-simplify: Simplify 0 into 0 1548147986.165 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.165 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1548147986.166 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548147986.169 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1548147986.170 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147986.171 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1548147986.171 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548147986.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147986.172 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.173 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1548147986.173 * [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)))))) 1548147986.174 * [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)))))) 1548147986.176 * [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)))))) 1548147986.177 * [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))))))) 1548147986.179 * [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))))))) 1548147986.185 * [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))))))))) 1548147986.192 * [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))))))))) 1548147986.198 * [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))))))))) 1548147986.200 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548147986.201 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1548147986.202 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1548147986.205 * [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)))) 1548147986.209 * [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)))) 1548147986.210 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548147986.212 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1548147986.222 * [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))))))))))))))) 1548147986.223 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1548147986.223 * [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 1548147986.223 * [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 1548147986.223 * [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 1548147986.223 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.223 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of k in n 1548147986.223 * [misc]backup-simplify: Simplify k into k 1548147986.223 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.223 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.223 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.223 * [misc]backup-simplify: Simplify PI into PI 1548147986.224 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.224 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.224 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.224 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.224 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147986.225 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.225 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.225 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.225 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of k in n 1548147986.225 * [misc]backup-simplify: Simplify k into k 1548147986.225 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.225 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.225 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.225 * [misc]backup-simplify: Simplify 2 into 2 1548147986.225 * [misc]taylor: Taking taylor expansion of n in n 1548147986.225 * [misc]backup-simplify: Simplify 0 into 0 1548147986.225 * [misc]backup-simplify: Simplify 1 into 1 1548147986.225 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.226 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.226 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.226 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.226 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.226 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.226 * [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))) 1548147986.227 * [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)))) 1548147986.227 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548147986.227 * [misc]taylor: Taking taylor expansion of k in n 1548147986.227 * [misc]backup-simplify: Simplify k into k 1548147986.227 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548147986.227 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548147986.227 * [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 1548147986.227 * [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 1548147986.227 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.227 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548147986.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147986.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.227 * [misc]taylor: Taking taylor expansion of k in k 1548147986.227 * [misc]backup-simplify: Simplify 0 into 0 1548147986.228 * [misc]backup-simplify: Simplify 1 into 1 1548147986.228 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.228 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.228 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.228 * [misc]backup-simplify: Simplify PI into PI 1548147986.228 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.228 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.228 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.228 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.229 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147986.229 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.229 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.229 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147986.229 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147986.229 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.229 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.230 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.230 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.230 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.230 * [misc]taylor: Taking taylor expansion of k in k 1548147986.230 * [misc]backup-simplify: Simplify 0 into 0 1548147986.230 * [misc]backup-simplify: Simplify 1 into 1 1548147986.230 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.230 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147986.230 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147986.230 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.230 * [misc]backup-simplify: Simplify 2 into 2 1548147986.230 * [misc]taylor: Taking taylor expansion of n in k 1548147986.230 * [misc]backup-simplify: Simplify n into n 1548147986.230 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147986.230 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147986.230 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.231 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.231 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.231 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147986.231 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.231 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147986.231 * [misc]taylor: Taking taylor expansion of k in k 1548147986.231 * [misc]backup-simplify: Simplify 0 into 0 1548147986.231 * [misc]backup-simplify: Simplify 1 into 1 1548147986.231 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.232 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.232 * [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 1548147986.232 * [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 1548147986.232 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.232 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.232 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of k in k 1548147986.232 * [misc]backup-simplify: Simplify 0 into 0 1548147986.232 * [misc]backup-simplify: Simplify 1 into 1 1548147986.232 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.232 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.232 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.232 * [misc]backup-simplify: Simplify PI into PI 1548147986.233 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.233 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.233 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.233 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.234 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147986.234 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.234 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.234 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147986.234 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147986.234 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.234 * [misc]taylor: Taking taylor expansion of k in k 1548147986.234 * [misc]backup-simplify: Simplify 0 into 0 1548147986.234 * [misc]backup-simplify: Simplify 1 into 1 1548147986.235 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.235 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147986.235 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147986.235 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.235 * [misc]backup-simplify: Simplify 2 into 2 1548147986.235 * [misc]taylor: Taking taylor expansion of n in k 1548147986.235 * [misc]backup-simplify: Simplify n into n 1548147986.235 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147986.235 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147986.235 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.235 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.235 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.235 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147986.236 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.236 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147986.236 * [misc]taylor: Taking taylor expansion of k in k 1548147986.236 * [misc]backup-simplify: Simplify 0 into 0 1548147986.236 * [misc]backup-simplify: Simplify 1 into 1 1548147986.236 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.236 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.237 * [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))))) 1548147986.237 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548147986.237 * [misc]taylor: Taking taylor expansion of 0 in n 1548147986.237 * [misc]backup-simplify: Simplify 0 into 0 1548147986.237 * [misc]backup-simplify: Simplify 0 into 0 1548147986.237 * [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 1548147986.238 * [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))))))) 1548147986.238 * [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 1548147986.238 * [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 1548147986.238 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.238 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.238 * [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 1548147986.238 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of k in n 1548147986.238 * [misc]backup-simplify: Simplify k into k 1548147986.238 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.238 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.238 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.238 * [misc]backup-simplify: Simplify PI into PI 1548147986.239 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.239 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.239 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.239 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.239 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147986.240 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.240 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.240 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.240 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of k in n 1548147986.240 * [misc]backup-simplify: Simplify k into k 1548147986.240 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.240 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.240 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.240 * [misc]backup-simplify: Simplify 2 into 2 1548147986.240 * [misc]taylor: Taking taylor expansion of n in n 1548147986.240 * [misc]backup-simplify: Simplify 0 into 0 1548147986.240 * [misc]backup-simplify: Simplify 1 into 1 1548147986.241 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.241 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.241 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.241 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.241 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.242 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.242 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1548147986.242 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1548147986.243 * [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))))) 1548147986.243 * [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)))))) 1548147986.243 * [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))))))) 1548147986.244 * [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))))))) 1548147986.244 * [misc]backup-simplify: Simplify 0 into 0 1548147986.246 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.246 * [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 1548147986.246 * [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))))))) 1548147986.247 * [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 1548147986.247 * [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 1548147986.247 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.247 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.247 * [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 1548147986.247 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of k in n 1548147986.247 * [misc]backup-simplify: Simplify k into k 1548147986.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.247 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.247 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.247 * [misc]backup-simplify: Simplify PI into PI 1548147986.247 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.247 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.248 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.248 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.248 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147986.248 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.248 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.249 * [misc]taylor: Taking taylor expansion of k in n 1548147986.249 * [misc]backup-simplify: Simplify k into k 1548147986.249 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.249 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.249 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.249 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.249 * [misc]backup-simplify: Simplify 2 into 2 1548147986.249 * [misc]taylor: Taking taylor expansion of n in n 1548147986.249 * [misc]backup-simplify: Simplify 0 into 0 1548147986.249 * [misc]backup-simplify: Simplify 1 into 1 1548147986.249 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.249 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.249 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.249 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.250 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.250 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.250 * [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))) 1548147986.250 * [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)))) 1548147986.251 * [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))))) 1548147986.251 * [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)))))) 1548147986.252 * [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))))))) 1548147986.252 * [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))))))) 1548147986.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548147986.255 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147986.255 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.255 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.256 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.256 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.256 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548147986.258 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.260 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.260 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.260 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.261 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1548147986.262 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.263 * [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 1548147986.263 * [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 1548147986.264 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.264 * [misc]backup-simplify: Simplify 0 into 0 1548147986.264 * [misc]backup-simplify: Simplify 0 into 0 1548147986.265 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147986.266 * [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 1548147986.266 * [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))))))) 1548147986.266 * [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 1548147986.266 * [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 1548147986.266 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.266 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.266 * [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 1548147986.266 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.267 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.267 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of k in n 1548147986.267 * [misc]backup-simplify: Simplify k into k 1548147986.267 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.267 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.267 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.267 * [misc]backup-simplify: Simplify PI into PI 1548147986.267 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.267 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.267 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.267 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.268 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147986.268 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.268 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.268 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.268 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.268 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.268 * [misc]taylor: Taking taylor expansion of k in n 1548147986.268 * [misc]backup-simplify: Simplify k into k 1548147986.269 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.269 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.269 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.269 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.269 * [misc]backup-simplify: Simplify 2 into 2 1548147986.269 * [misc]taylor: Taking taylor expansion of n in n 1548147986.269 * [misc]backup-simplify: Simplify 0 into 0 1548147986.269 * [misc]backup-simplify: Simplify 1 into 1 1548147986.269 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.269 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.269 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.269 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.269 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.270 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.270 * [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))) 1548147986.270 * [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)))) 1548147986.271 * [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))))) 1548147986.271 * [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)))))) 1548147986.272 * [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))))))) 1548147986.272 * [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))))))) 1548147986.274 * [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)))))))) 1548147986.275 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1548147986.275 * [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 1548147986.275 * [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 1548147986.275 * [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 1548147986.275 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.275 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.275 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.275 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.275 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.275 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.276 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.276 * [misc]taylor: Taking taylor expansion of k in n 1548147986.276 * [misc]backup-simplify: Simplify k into k 1548147986.276 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.276 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.276 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.276 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.276 * [misc]backup-simplify: Simplify -2 into -2 1548147986.276 * [misc]taylor: Taking taylor expansion of n in n 1548147986.276 * [misc]backup-simplify: Simplify 0 into 0 1548147986.276 * [misc]backup-simplify: Simplify 1 into 1 1548147986.276 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.276 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.276 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.276 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.277 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.277 * [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))) 1548147986.277 * [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)))) 1548147986.277 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.277 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147986.277 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147986.277 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.278 * [misc]taylor: Taking taylor expansion of k in n 1548147986.278 * [misc]backup-simplify: Simplify k into k 1548147986.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.278 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.278 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.278 * [misc]backup-simplify: Simplify PI into PI 1548147986.278 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.278 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.278 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147986.279 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.279 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548147986.279 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548147986.279 * [misc]taylor: Taking taylor expansion of -1 in n 1548147986.279 * [misc]backup-simplify: Simplify -1 into -1 1548147986.279 * [misc]taylor: Taking taylor expansion of k in n 1548147986.279 * [misc]backup-simplify: Simplify k into k 1548147986.279 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548147986.279 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548147986.279 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548147986.279 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548147986.280 * [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))) 1548147986.280 * [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))) 1548147986.280 * [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 1548147986.280 * [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 1548147986.280 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.280 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147986.280 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147986.280 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.281 * [misc]taylor: Taking taylor expansion of k in k 1548147986.281 * [misc]backup-simplify: Simplify 0 into 0 1548147986.281 * [misc]backup-simplify: Simplify 1 into 1 1548147986.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.281 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147986.281 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147986.281 * [misc]taylor: Taking taylor expansion of -2 in k 1548147986.281 * [misc]backup-simplify: Simplify -2 into -2 1548147986.281 * [misc]taylor: Taking taylor expansion of n in k 1548147986.281 * [misc]backup-simplify: Simplify n into n 1548147986.281 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147986.281 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147986.281 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.281 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.282 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147986.282 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.282 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.282 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of k in k 1548147986.282 * [misc]backup-simplify: Simplify 0 into 0 1548147986.282 * [misc]backup-simplify: Simplify 1 into 1 1548147986.282 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.282 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.282 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.282 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.282 * [misc]backup-simplify: Simplify PI into PI 1548147986.283 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.283 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.283 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.283 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.284 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.284 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147986.284 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147986.284 * [misc]taylor: Taking taylor expansion of -1 in k 1548147986.284 * [misc]backup-simplify: Simplify -1 into -1 1548147986.284 * [misc]taylor: Taking taylor expansion of k in k 1548147986.284 * [misc]backup-simplify: Simplify 0 into 0 1548147986.284 * [misc]backup-simplify: Simplify 1 into 1 1548147986.284 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147986.284 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.285 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147986.285 * [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))) 1548147986.285 * [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)))) 1548147986.285 * [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 1548147986.285 * [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 1548147986.285 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.285 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147986.285 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147986.285 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.285 * [misc]taylor: Taking taylor expansion of k in k 1548147986.285 * [misc]backup-simplify: Simplify 0 into 0 1548147986.286 * [misc]backup-simplify: Simplify 1 into 1 1548147986.286 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.286 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147986.286 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147986.286 * [misc]taylor: Taking taylor expansion of -2 in k 1548147986.286 * [misc]backup-simplify: Simplify -2 into -2 1548147986.286 * [misc]taylor: Taking taylor expansion of n in k 1548147986.286 * [misc]backup-simplify: Simplify n into n 1548147986.286 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147986.286 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147986.286 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.286 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.286 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147986.287 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.287 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of k in k 1548147986.287 * [misc]backup-simplify: Simplify 0 into 0 1548147986.287 * [misc]backup-simplify: Simplify 1 into 1 1548147986.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.287 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.287 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.287 * [misc]backup-simplify: Simplify PI into PI 1548147986.287 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.288 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.288 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.289 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.289 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147986.289 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147986.289 * [misc]taylor: Taking taylor expansion of -1 in k 1548147986.289 * [misc]backup-simplify: Simplify -1 into -1 1548147986.289 * [misc]taylor: Taking taylor expansion of k in k 1548147986.289 * [misc]backup-simplify: Simplify 0 into 0 1548147986.289 * [misc]backup-simplify: Simplify 1 into 1 1548147986.289 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147986.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.289 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147986.290 * [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))) 1548147986.290 * [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)))) 1548147986.290 * [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 1548147986.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.290 * [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 1548147986.290 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.290 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.290 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.290 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.290 * [misc]taylor: Taking taylor expansion of k in n 1548147986.291 * [misc]backup-simplify: Simplify k into k 1548147986.291 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.291 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.291 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.291 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.291 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.291 * [misc]backup-simplify: Simplify -2 into -2 1548147986.291 * [misc]taylor: Taking taylor expansion of n in n 1548147986.291 * [misc]backup-simplify: Simplify 0 into 0 1548147986.291 * [misc]backup-simplify: Simplify 1 into 1 1548147986.291 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.291 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.291 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.291 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.292 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.292 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1548147986.292 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1548147986.292 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.292 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147986.292 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147986.292 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.293 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.293 * [misc]taylor: Taking taylor expansion of k in n 1548147986.293 * [misc]backup-simplify: Simplify k into k 1548147986.293 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.293 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.293 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.293 * [misc]backup-simplify: Simplify PI into PI 1548147986.293 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.293 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.293 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.294 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147986.294 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.294 * [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))) 1548147986.295 * [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)))) 1548147986.296 * [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)))) 1548147986.296 * [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 1548147986.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548147986.298 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.298 * [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))))) 1548147986.299 * [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 1548147986.299 * [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 1548147986.299 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.299 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.299 * [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 1548147986.299 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of k in n 1548147986.299 * [misc]backup-simplify: Simplify k into k 1548147986.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.299 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.299 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.299 * [misc]backup-simplify: Simplify -2 into -2 1548147986.299 * [misc]taylor: Taking taylor expansion of n in n 1548147986.299 * [misc]backup-simplify: Simplify 0 into 0 1548147986.299 * [misc]backup-simplify: Simplify 1 into 1 1548147986.299 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.300 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.300 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.300 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.300 * [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))) 1548147986.301 * [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)))) 1548147986.301 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of k in n 1548147986.301 * [misc]backup-simplify: Simplify k into k 1548147986.301 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.301 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.301 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.301 * [misc]backup-simplify: Simplify PI into PI 1548147986.301 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.302 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.302 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.302 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147986.302 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.303 * [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))) 1548147986.303 * [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)))) 1548147986.304 * [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))))) 1548147986.304 * [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))))) 1548147986.307 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.307 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.307 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.308 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1548147986.309 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.309 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548147986.312 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548147986.312 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.312 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.312 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.312 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.313 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548147986.314 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.314 * [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 1548147986.315 * [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 1548147986.315 * [misc]backup-simplify: Simplify 0 into 0 1548147986.315 * [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 1548147986.316 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.318 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147986.319 * [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))))) 1548147986.319 * [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 1548147986.319 * [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 1548147986.319 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.320 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.320 * [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 1548147986.320 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.320 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of k in n 1548147986.320 * [misc]backup-simplify: Simplify k into k 1548147986.320 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.320 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.320 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.320 * [misc]backup-simplify: Simplify -2 into -2 1548147986.320 * [misc]taylor: Taking taylor expansion of n in n 1548147986.320 * [misc]backup-simplify: Simplify 0 into 0 1548147986.320 * [misc]backup-simplify: Simplify 1 into 1 1548147986.320 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.320 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.321 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.321 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.321 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.321 * [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))) 1548147986.322 * [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)))) 1548147986.322 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of k in n 1548147986.322 * [misc]backup-simplify: Simplify k into k 1548147986.322 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.322 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548147986.322 * [misc]taylor: Taking taylor expansion of PI in n 1548147986.322 * [misc]backup-simplify: Simplify PI into PI 1548147986.323 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.323 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.323 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.323 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147986.323 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.324 * [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))) 1548147986.324 * [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)))) 1548147986.325 * [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))))) 1548147986.326 * [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))))) 1548147986.328 * [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)))))))) 1548147986.328 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1548147986.328 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1548147986.328 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1548147986.328 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1548147986.328 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1548147986.328 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1548147986.328 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1548147986.329 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1548147986.329 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548147986.329 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.329 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548147986.329 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.329 * [misc]taylor: Taking taylor expansion of k in n 1548147986.329 * [misc]backup-simplify: Simplify k into k 1548147986.329 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.329 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.329 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.329 * [misc]backup-simplify: Simplify 2 into 2 1548147986.329 * [misc]taylor: Taking taylor expansion of n in n 1548147986.329 * [misc]backup-simplify: Simplify 0 into 0 1548147986.329 * [misc]backup-simplify: Simplify 1 into 1 1548147986.329 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.329 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.330 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.330 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548147986.330 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548147986.330 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548147986.330 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.330 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1548147986.331 * [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)))) 1548147986.331 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1548147986.331 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1548147986.331 * [misc]taylor: Taking taylor expansion of k in n 1548147986.331 * [misc]backup-simplify: Simplify k into k 1548147986.331 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1548147986.331 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1548147986.331 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548147986.331 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548147986.331 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147986.331 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147986.331 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147986.331 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.332 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.332 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.332 * [misc]taylor: Taking taylor expansion of k in k 1548147986.332 * [misc]backup-simplify: Simplify 0 into 0 1548147986.332 * [misc]backup-simplify: Simplify 1 into 1 1548147986.332 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147986.332 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147986.332 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.332 * [misc]backup-simplify: Simplify 2 into 2 1548147986.332 * [misc]taylor: Taking taylor expansion of n in k 1548147986.332 * [misc]backup-simplify: Simplify n into n 1548147986.332 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147986.332 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147986.332 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.332 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.332 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.333 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147986.333 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147986.333 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548147986.333 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147986.333 * [misc]taylor: Taking taylor expansion of k in k 1548147986.333 * [misc]backup-simplify: Simplify 0 into 0 1548147986.333 * [misc]backup-simplify: Simplify 1 into 1 1548147986.333 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.334 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.334 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.334 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.334 * [misc]taylor: Taking taylor expansion of k in k 1548147986.334 * [misc]backup-simplify: Simplify 0 into 0 1548147986.334 * [misc]backup-simplify: Simplify 1 into 1 1548147986.334 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1548147986.334 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.334 * [misc]backup-simplify: Simplify 2 into 2 1548147986.334 * [misc]taylor: Taking taylor expansion of n in k 1548147986.334 * [misc]backup-simplify: Simplify n into n 1548147986.334 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1548147986.334 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1548147986.335 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.335 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.335 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.335 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1548147986.335 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1548147986.335 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1548147986.335 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548147986.335 * [misc]taylor: Taking taylor expansion of k in k 1548147986.335 * [misc]backup-simplify: Simplify 0 into 0 1548147986.335 * [misc]backup-simplify: Simplify 1 into 1 1548147986.335 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.336 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.336 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1548147986.336 * [misc]taylor: Taking taylor expansion of 0 in n 1548147986.336 * [misc]backup-simplify: Simplify 0 into 0 1548147986.336 * [misc]backup-simplify: Simplify 0 into 0 1548147986.336 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1548147986.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1548147986.338 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147986.338 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.338 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.338 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1548147986.338 * [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)))) 1548147986.339 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1548147986.340 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1548147986.340 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548147986.340 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548147986.340 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.340 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.340 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548147986.340 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548147986.340 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548147986.340 * [misc]taylor: Taking taylor expansion of n in n 1548147986.340 * [misc]backup-simplify: Simplify 0 into 0 1548147986.340 * [misc]backup-simplify: Simplify 1 into 1 1548147986.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.341 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.341 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.341 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548147986.341 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.341 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548147986.341 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548147986.342 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.342 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548147986.343 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548147986.344 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.345 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.345 * [misc]backup-simplify: Simplify 0 into 0 1548147986.346 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.346 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1548147986.348 * [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 1548147986.348 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147986.349 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.349 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1548147986.350 * [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))) 1548147986.353 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1548147986.356 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1548147986.356 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1548147986.356 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1548147986.356 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1548147986.356 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.356 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.356 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1548147986.356 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1548147986.356 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1548147986.356 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.356 * [misc]backup-simplify: Simplify 2 into 2 1548147986.356 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1548147986.357 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1548147986.357 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1548147986.357 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1548147986.357 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1548147986.357 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.357 * [misc]backup-simplify: Simplify 2 into 2 1548147986.357 * [misc]taylor: Taking taylor expansion of n in n 1548147986.357 * [misc]backup-simplify: Simplify 0 into 0 1548147986.357 * [misc]backup-simplify: Simplify 1 into 1 1548147986.357 * [misc]backup-simplify: Simplify (* 2 0) into 0 1548147986.357 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1548147986.357 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.357 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1548147986.358 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548147986.358 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.358 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548147986.358 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548147986.358 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548147986.358 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548147986.358 * [misc]taylor: Taking taylor expansion of n in n 1548147986.358 * [misc]backup-simplify: Simplify 0 into 0 1548147986.358 * [misc]backup-simplify: Simplify 1 into 1 1548147986.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.358 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.359 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.359 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1548147986.359 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1548147986.359 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.359 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.359 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1548147986.359 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1548147986.359 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548147986.359 * [misc]taylor: Taking taylor expansion of n in n 1548147986.359 * [misc]backup-simplify: Simplify 0 into 0 1548147986.359 * [misc]backup-simplify: Simplify 1 into 1 1548147986.359 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.359 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.360 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.360 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1548147986.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.360 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1548147986.360 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1548147986.361 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.361 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1548147986.362 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1548147986.363 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1548147986.363 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1548147986.363 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1548147986.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1548147986.365 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147986.366 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1548147986.366 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1548147986.367 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548147986.368 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1548147986.370 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1548147986.370 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.370 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1548147986.371 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1548147986.371 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.373 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1548147986.375 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548147986.377 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1548147986.378 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1548147986.378 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147986.379 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.380 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.380 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.381 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.381 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548147986.384 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548147986.385 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1548147986.385 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1548147986.385 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of k in n 1548147986.385 * [misc]backup-simplify: Simplify k into k 1548147986.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.385 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.385 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.385 * [misc]backup-simplify: Simplify 2 into 2 1548147986.385 * [misc]taylor: Taking taylor expansion of n in n 1548147986.385 * [misc]backup-simplify: Simplify 0 into 0 1548147986.385 * [misc]backup-simplify: Simplify 1 into 1 1548147986.385 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.385 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.385 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.385 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.385 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.386 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.386 * [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))) 1548147986.386 * [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)))) 1548147986.386 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.386 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1548147986.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.386 * [misc]taylor: Taking taylor expansion of k in n 1548147986.386 * [misc]backup-simplify: Simplify k into k 1548147986.386 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.386 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1548147986.386 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.387 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1548147986.387 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of k in k 1548147986.387 * [misc]backup-simplify: Simplify 0 into 0 1548147986.387 * [misc]backup-simplify: Simplify 1 into 1 1548147986.387 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.387 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147986.387 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.387 * [misc]backup-simplify: Simplify 2 into 2 1548147986.387 * [misc]taylor: Taking taylor expansion of n in k 1548147986.387 * [misc]backup-simplify: Simplify n into n 1548147986.387 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147986.387 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147986.387 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.388 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.388 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.388 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147986.388 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.388 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548147986.388 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147986.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.388 * [misc]taylor: Taking taylor expansion of k in k 1548147986.388 * [misc]backup-simplify: Simplify 0 into 0 1548147986.388 * [misc]backup-simplify: Simplify 1 into 1 1548147986.388 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.388 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.389 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.389 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.389 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.389 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of k in k 1548147986.389 * [misc]backup-simplify: Simplify 0 into 0 1548147986.389 * [misc]backup-simplify: Simplify 1 into 1 1548147986.389 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.389 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1548147986.389 * [misc]taylor: Taking taylor expansion of 2 in k 1548147986.389 * [misc]backup-simplify: Simplify 2 into 2 1548147986.389 * [misc]taylor: Taking taylor expansion of n in k 1548147986.389 * [misc]backup-simplify: Simplify n into n 1548147986.389 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1548147986.389 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1548147986.389 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.389 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.390 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.390 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1548147986.390 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548147986.390 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548147986.390 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548147986.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.390 * [misc]taylor: Taking taylor expansion of k in k 1548147986.390 * [misc]backup-simplify: Simplify 0 into 0 1548147986.390 * [misc]backup-simplify: Simplify 1 into 1 1548147986.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.390 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.390 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548147986.391 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1548147986.391 * [misc]taylor: Taking taylor expansion of 0 in n 1548147986.391 * [misc]backup-simplify: Simplify 0 into 0 1548147986.391 * [misc]backup-simplify: Simplify 0 into 0 1548147986.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548147986.391 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548147986.391 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.391 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.391 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.391 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.391 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.391 * [misc]taylor: Taking taylor expansion of k in n 1548147986.391 * [misc]backup-simplify: Simplify k into k 1548147986.391 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.391 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.392 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.392 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.392 * [misc]backup-simplify: Simplify 2 into 2 1548147986.392 * [misc]taylor: Taking taylor expansion of n in n 1548147986.392 * [misc]backup-simplify: Simplify 0 into 0 1548147986.392 * [misc]backup-simplify: Simplify 1 into 1 1548147986.392 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.392 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.392 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.392 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.392 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.393 * [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))) 1548147986.393 * [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)))) 1548147986.393 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.393 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.394 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147986.394 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147986.394 * [misc]backup-simplify: Simplify 0 into 0 1548147986.394 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147986.395 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.395 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548147986.395 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548147986.395 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.395 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.395 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.395 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.396 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.396 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.396 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.396 * [misc]taylor: Taking taylor expansion of k in n 1548147986.396 * [misc]backup-simplify: Simplify k into k 1548147986.396 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.396 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.396 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.396 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.396 * [misc]backup-simplify: Simplify 2 into 2 1548147986.396 * [misc]taylor: Taking taylor expansion of n in n 1548147986.396 * [misc]backup-simplify: Simplify 0 into 0 1548147986.396 * [misc]backup-simplify: Simplify 1 into 1 1548147986.396 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.396 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.396 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.396 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.396 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.397 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.397 * [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))) 1548147986.397 * [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)))) 1548147986.398 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.398 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.399 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147986.399 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147986.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1548147986.402 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548147986.402 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.402 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.403 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.403 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.403 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1548147986.405 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.405 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1548147986.406 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1548147986.406 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.406 * [misc]backup-simplify: Simplify 0 into 0 1548147986.406 * [misc]backup-simplify: Simplify 0 into 0 1548147986.406 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.407 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147986.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548147986.408 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1548147986.408 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.409 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.409 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of k in n 1548147986.409 * [misc]backup-simplify: Simplify k into k 1548147986.409 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.409 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1548147986.409 * [misc]taylor: Taking taylor expansion of 2 in n 1548147986.409 * [misc]backup-simplify: Simplify 2 into 2 1548147986.410 * [misc]taylor: Taking taylor expansion of n in n 1548147986.410 * [misc]backup-simplify: Simplify 0 into 0 1548147986.410 * [misc]backup-simplify: Simplify 1 into 1 1548147986.410 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1548147986.410 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548147986.410 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.410 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548147986.410 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548147986.411 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1548147986.411 * [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))) 1548147986.411 * [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)))) 1548147986.411 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.412 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1548147986.412 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147986.413 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1548147986.414 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548147986.414 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548147986.415 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1548147986.415 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of -1 in n 1548147986.415 * [misc]backup-simplify: Simplify -1 into -1 1548147986.415 * [misc]taylor: Taking taylor expansion of k in n 1548147986.415 * [misc]backup-simplify: Simplify k into k 1548147986.415 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1548147986.415 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1548147986.415 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1548147986.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1548147986.415 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.415 * [misc]taylor: Taking taylor expansion of k in n 1548147986.415 * [misc]backup-simplify: Simplify k into k 1548147986.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.416 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.416 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.416 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.416 * [misc]backup-simplify: Simplify -2 into -2 1548147986.416 * [misc]taylor: Taking taylor expansion of n in n 1548147986.416 * [misc]backup-simplify: Simplify 0 into 0 1548147986.416 * [misc]backup-simplify: Simplify 1 into 1 1548147986.416 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.416 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.416 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.416 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.417 * [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))) 1548147986.417 * [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)))) 1548147986.418 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.418 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548147986.418 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147986.418 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147986.418 * [misc]taylor: Taking taylor expansion of -1 in k 1548147986.418 * [misc]backup-simplify: Simplify -1 into -1 1548147986.418 * [misc]taylor: Taking taylor expansion of k in k 1548147986.418 * [misc]backup-simplify: Simplify 0 into 0 1548147986.418 * [misc]backup-simplify: Simplify 1 into 1 1548147986.418 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147986.418 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.419 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147986.419 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of k in k 1548147986.419 * [misc]backup-simplify: Simplify 0 into 0 1548147986.419 * [misc]backup-simplify: Simplify 1 into 1 1548147986.419 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.419 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147986.419 * [misc]taylor: Taking taylor expansion of -2 in k 1548147986.419 * [misc]backup-simplify: Simplify -2 into -2 1548147986.419 * [misc]taylor: Taking taylor expansion of n in k 1548147986.420 * [misc]backup-simplify: Simplify n into n 1548147986.420 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147986.420 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147986.420 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.420 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.420 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147986.420 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.420 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548147986.420 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548147986.420 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548147986.421 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548147986.421 * [misc]taylor: Taking taylor expansion of -1 in k 1548147986.421 * [misc]backup-simplify: Simplify -1 into -1 1548147986.421 * [misc]taylor: Taking taylor expansion of k in k 1548147986.421 * [misc]backup-simplify: Simplify 0 into 0 1548147986.421 * [misc]backup-simplify: Simplify 1 into 1 1548147986.421 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548147986.421 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548147986.421 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548147986.421 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of k in k 1548147986.422 * [misc]backup-simplify: Simplify 0 into 0 1548147986.422 * [misc]backup-simplify: Simplify 1 into 1 1548147986.422 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.422 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1548147986.422 * [misc]taylor: Taking taylor expansion of -2 in k 1548147986.422 * [misc]backup-simplify: Simplify -2 into -2 1548147986.422 * [misc]taylor: Taking taylor expansion of n in k 1548147986.422 * [misc]backup-simplify: Simplify n into n 1548147986.422 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1548147986.422 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1548147986.423 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.423 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.423 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1548147986.423 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548147986.423 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1548147986.423 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147986.423 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.423 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.423 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.423 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.423 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.423 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.424 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.424 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.424 * [misc]taylor: Taking taylor expansion of k in n 1548147986.424 * [misc]backup-simplify: Simplify k into k 1548147986.424 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.424 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.424 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.424 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.424 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.424 * [misc]backup-simplify: Simplify -2 into -2 1548147986.424 * [misc]taylor: Taking taylor expansion of n in n 1548147986.424 * [misc]backup-simplify: Simplify 0 into 0 1548147986.424 * [misc]backup-simplify: Simplify 1 into 1 1548147986.424 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.424 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.424 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.424 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.425 * [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))) 1548147986.425 * [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)))) 1548147986.426 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.426 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548147986.428 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548147986.428 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548147986.428 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.428 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.428 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.429 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.429 * [misc]taylor: Taking taylor expansion of k in n 1548147986.429 * [misc]backup-simplify: Simplify k into k 1548147986.429 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.429 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.429 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.429 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.429 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.429 * [misc]backup-simplify: Simplify -2 into -2 1548147986.429 * [misc]taylor: Taking taylor expansion of n in n 1548147986.429 * [misc]backup-simplify: Simplify 0 into 0 1548147986.429 * [misc]backup-simplify: Simplify 1 into 1 1548147986.429 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.429 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.429 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.430 * [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))) 1548147986.430 * [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)))) 1548147986.431 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.431 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.431 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147986.432 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147986.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1548147986.435 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1548147986.435 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548147986.435 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548147986.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.436 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.436 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1548147986.437 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548147986.438 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1548147986.438 * [misc]backup-simplify: Simplify 0 into 0 1548147986.439 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.440 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548147986.441 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1548147986.441 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1548147986.441 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1548147986.441 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.441 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of k in n 1548147986.441 * [misc]backup-simplify: Simplify k into k 1548147986.441 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548147986.441 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548147986.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.441 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1548147986.441 * [misc]taylor: Taking taylor expansion of -2 in n 1548147986.441 * [misc]backup-simplify: Simplify -2 into -2 1548147986.441 * [misc]taylor: Taking taylor expansion of n in n 1548147986.441 * [misc]backup-simplify: Simplify 0 into 0 1548147986.441 * [misc]backup-simplify: Simplify 1 into 1 1548147986.441 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1548147986.442 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1548147986.442 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548147986.442 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548147986.442 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1548147986.442 * [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))) 1548147986.443 * [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)))) 1548147986.443 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.443 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1548147986.444 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147986.444 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1548147986.446 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548147986.446 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1548147986.446 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548147986.447 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1548147986.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.447 * [misc]taylor: Taking taylor expansion of k in k 1548147986.447 * [misc]backup-simplify: Simplify 0 into 0 1548147986.447 * [misc]backup-simplify: Simplify 1 into 1 1548147986.447 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.447 * [misc]backup-simplify: Simplify PI into PI 1548147986.447 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.447 * [misc]taylor: Taking taylor expansion of k in k 1548147986.447 * [misc]backup-simplify: Simplify 0 into 0 1548147986.447 * [misc]backup-simplify: Simplify 1 into 1 1548147986.447 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.447 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.448 * [misc]backup-simplify: Simplify PI into PI 1548147986.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.448 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548147986.448 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.448 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.449 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.449 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.452 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.452 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548147986.452 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.452 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.453 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548147986.454 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1548147986.460 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548147986.460 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548147986.460 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.460 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.461 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548147986.461 * [misc]backup-simplify: Simplify 0 into 0 1548147986.465 * [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 1548147986.465 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548147986.465 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.466 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548147986.467 * [misc]backup-simplify: Simplify 0 into 0 1548147986.473 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1548147986.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1548147986.474 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.475 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1548147986.475 * [misc]backup-simplify: Simplify 0 into 0 1548147986.486 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1548147986.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1548147986.486 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.489 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1548147986.489 * [misc]backup-simplify: Simplify 0 into 0 1548147986.508 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1548147986.508 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1548147986.508 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1548147986.511 * [misc]backup-simplify: Simplify 0 into 0 1548147986.538 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1548147986.539 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1548147986.539 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.539 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.543 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1548147986.544 * [misc]backup-simplify: Simplify 0 into 0 1548147986.545 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548147986.545 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548147986.546 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1548147986.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of k in k 1548147986.546 * [misc]backup-simplify: Simplify 0 into 0 1548147986.546 * [misc]backup-simplify: Simplify 1 into 1 1548147986.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.546 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.546 * [misc]backup-simplify: Simplify PI into PI 1548147986.546 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548147986.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.547 * [misc]taylor: Taking taylor expansion of k in k 1548147986.547 * [misc]backup-simplify: Simplify 0 into 0 1548147986.547 * [misc]backup-simplify: Simplify 1 into 1 1548147986.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.547 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.547 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.547 * [misc]backup-simplify: Simplify PI into PI 1548147986.547 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.547 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.548 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548147986.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548147986.548 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147986.549 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548147986.551 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.551 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147986.551 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1548147986.552 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.552 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.553 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1548147986.553 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.557 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548147986.558 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.558 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1548147986.558 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.560 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1548147986.560 * [misc]backup-simplify: Simplify 0 into 0 1548147986.568 * [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 1548147986.569 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548147986.569 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.571 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548147986.571 * [misc]backup-simplify: Simplify 0 into 0 1548147986.580 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1548147986.581 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.581 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548147986.581 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.583 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1548147986.583 * [misc]backup-simplify: Simplify 0 into 0 1548147986.593 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1548147986.593 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.594 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548147986.594 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.596 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1548147986.596 * [misc]backup-simplify: Simplify 0 into 0 1548147986.614 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1548147986.615 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548147986.616 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.619 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1548147986.619 * [misc]backup-simplify: Simplify 0 into 0 1548147986.652 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1548147986.653 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.653 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1548147986.653 * [misc]backup-simplify: Simplify (- 0) into 0 1548147986.653 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.656 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1548147986.656 * [misc]backup-simplify: Simplify 0 into 0 1548147986.657 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548147986.657 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548147986.657 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1548147986.657 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147986.657 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.657 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.657 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.657 * [misc]taylor: Taking taylor expansion of k in k 1548147986.657 * [misc]backup-simplify: Simplify 0 into 0 1548147986.657 * [misc]backup-simplify: Simplify 1 into 1 1548147986.658 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.658 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.658 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.658 * [misc]backup-simplify: Simplify PI into PI 1548147986.658 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.658 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548147986.658 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548147986.658 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548147986.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.658 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548147986.658 * [misc]taylor: Taking taylor expansion of k in k 1548147986.658 * [misc]backup-simplify: Simplify 0 into 0 1548147986.658 * [misc]backup-simplify: Simplify 1 into 1 1548147986.658 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548147986.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548147986.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548147986.658 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548147986.658 * [misc]taylor: Taking taylor expansion of PI in k 1548147986.658 * [misc]backup-simplify: Simplify PI into PI 1548147986.658 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548147986.658 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548147986.659 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548147986.659 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.659 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548147986.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548147986.661 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1548147986.661 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1548147986.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1548147986.662 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548147986.665 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548147986.665 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1548147986.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.666 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1548147986.666 * [misc]backup-simplify: Simplify 0 into 0 1548147986.670 * [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 1548147986.671 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1548147986.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.672 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1548147986.672 * [misc]backup-simplify: Simplify 0 into 0 1548147986.683 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1548147986.683 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1548147986.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.685 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1548147986.685 * [misc]backup-simplify: Simplify 0 into 0 1548147986.695 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1548147986.696 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1548147986.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1548147986.698 * [misc]backup-simplify: Simplify 0 into 0 1548147986.718 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1548147986.718 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1548147986.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1548147986.722 * [misc]backup-simplify: Simplify 0 into 0 1548147986.761 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1548147986.762 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548147986.762 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1548147986.763 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548147986.767 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1548147986.767 * [misc]backup-simplify: Simplify 0 into 0 1548147986.768 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548147986.769 * * * [misc]progress: simplifying candidates 1548147986.769 * * * * [misc]progress: [ 1 / 302 ] simplifiying candidate # 1548147986.769 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1548147986.769 * * [misc]simplify: iters left: 6 (9 enodes) 1548147986.773 * * [misc]simplify: iters left: 5 (16 enodes) 1548147986.778 * * [misc]simplify: iters left: 4 (32 enodes) 1548147986.789 * * [misc]simplify: iters left: 3 (68 enodes) 1548147986.821 * * [misc]simplify: iters left: 2 (171 enodes) 1548147986.885 * * [misc]simplify: iters left: 1 (342 enodes) 1548147987.021 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1548147987.022 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1548147987.022 * * * * [misc]progress: [ 2 / 302 ] simplifiying candidate # 1548147987.022 * * * * [misc]progress: [ 3 / 302 ] simplifiying candidate # 1548147987.022 * [enter]simplify: Simplifying (* n 2) 1548147987.022 * * [misc]simplify: iters left: 2 (3 enodes) 1548147987.023 * * [misc]simplify: iters left: 1 (4 enodes) 1548147987.024 * [exit]simplify: Simplified to (* n 2) 1548147987.024 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1548147987.024 * * * * [misc]progress: [ 4 / 302 ] simplifiying candidate # 1548147987.025 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548147987.025 * * [misc]simplify: iters left: 3 (6 enodes) 1548147987.026 * * [misc]simplify: iters left: 2 (7 enodes) 1548147987.028 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548147987.028 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1548147987.028 * * * * [misc]progress: [ 5 / 302 ] simplifiying candidate # 1548147987.028 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548147987.029 * * [misc]simplify: iters left: 5 (6 enodes) 1548147987.030 * * [misc]simplify: iters left: 4 (8 enodes) 1548147987.032 * * [misc]simplify: iters left: 3 (11 enodes) 1548147987.035 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548147987.035 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1548147987.035 * * * * [misc]progress: [ 6 / 302 ] simplifiying candidate # 1548147987.035 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548147987.035 * * [misc]simplify: iters left: 5 (6 enodes) 1548147987.037 * * [misc]simplify: iters left: 4 (8 enodes) 1548147987.039 * * [misc]simplify: iters left: 3 (11 enodes) 1548147987.042 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548147987.042 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1548147987.042 * * * * [misc]progress: [ 7 / 302 ] simplifiying candidate # 1548147987.042 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548147987.042 * * [misc]simplify: iters left: 4 (5 enodes) 1548147987.044 * * [misc]simplify: iters left: 3 (7 enodes) 1548147987.045 * * [misc]simplify: iters left: 2 (10 enodes) 1548147987.048 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548147987.048 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1548147987.048 * * * * [misc]progress: [ 8 / 302 ] simplifiying candidate # 1548147987.048 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548147987.048 * * [misc]simplify: iters left: 5 (7 enodes) 1548147987.050 * * [misc]simplify: iters left: 4 (10 enodes) 1548147987.053 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548147987.053 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548147987.053 * * * * [misc]progress: [ 9 / 302 ] simplifiying candidate # 1548147987.053 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548147987.053 * * [misc]simplify: iters left: 5 (7 enodes) 1548147987.055 * * [misc]simplify: iters left: 4 (10 enodes) 1548147987.058 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548147987.058 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1548147987.058 * * * * [misc]progress: [ 10 / 302 ] simplifiying candidate # 1548147987.058 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1548147987.058 * * [misc]simplify: iters left: 5 (7 enodes) 1548147987.060 * * [misc]simplify: iters left: 4 (9 enodes) 1548147987.063 * * [misc]simplify: iters left: 3 (12 enodes) 1548147987.066 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548147987.066 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1548147987.066 * * * * [misc]progress: [ 11 / 302 ] simplifiying candidate # 1548147987.066 * * * * [misc]progress: [ 12 / 302 ] simplifiying candidate # 1548147987.066 * * * * [misc]progress: [ 13 / 302 ] simplifiying candidate # 1548147987.067 * * * * [misc]progress: [ 14 / 302 ] simplifiying candidate # 1548147987.067 * * * * [misc]progress: [ 15 / 302 ] simplifiying candidate # 1548147987.067 * * * * [misc]progress: [ 16 / 302 ] simplifiying candidate # 1548147987.067 * * * * [misc]progress: [ 17 / 302 ] simplifiying candidate # 1548147987.067 * * * * [misc]progress: [ 18 / 302 ] simplifiying candidate # 1548147987.067 * * * * [misc]progress: [ 19 / 302 ] simplifiying candidate # 1548147987.067 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548147987.067 * * [misc]simplify: iters left: 6 (16 enodes) 1548147987.073 * * [misc]simplify: iters left: 5 (30 enodes) 1548147987.082 * * [misc]simplify: iters left: 4 (66 enodes) 1548147987.109 * * [misc]simplify: iters left: 3 (209 enodes) 1548147987.201 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1548147987.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1548147987.201 * * * * [misc]progress: [ 20 / 302 ] simplifiying candidate # 1548147987.201 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1548147987.201 * * [misc]simplify: iters left: 6 (16 enodes) 1548147987.204 * * [misc]simplify: iters left: 5 (30 enodes) 1548147987.209 * * [misc]simplify: iters left: 4 (66 enodes) 1548147987.225 * * [misc]simplify: iters left: 3 (209 enodes) 1548147987.308 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1548147987.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1548147987.308 * * * * [misc]progress: [ 21 / 302 ] simplifiying candidate # 1548147987.308 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147987.308 * * [misc]simplify: iters left: 6 (16 enodes) 1548147987.313 * * [misc]simplify: iters left: 5 (28 enodes) 1548147987.322 * * [misc]simplify: iters left: 4 (54 enodes) 1548147987.339 * * [misc]simplify: iters left: 3 (132 enodes) 1548147987.390 * * [misc]simplify: iters left: 2 (467 enodes) 1548147987.631 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1548147987.631 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1548147987.632 * * * * [misc]progress: [ 22 / 302 ] simplifiying candidate # 1548147987.632 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147987.632 * * [misc]simplify: iters left: 6 (15 enodes) 1548147987.636 * * [misc]simplify: iters left: 5 (24 enodes) 1548147987.641 * * [misc]simplify: iters left: 4 (40 enodes) 1548147987.653 * * [misc]simplify: iters left: 3 (81 enodes) 1548147987.670 * * [misc]simplify: iters left: 2 (186 enodes) 1548147987.758 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1548147987.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1548147987.758 * * * * [misc]progress: [ 23 / 302 ] simplifiying candidate # 1548147987.758 * * * * [misc]progress: [ 24 / 302 ] simplifiying candidate # 1548147987.758 * * * * [misc]progress: [ 25 / 302 ] simplifiying candidate # 1548147987.759 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147987.759 * * [misc]simplify: iters left: 6 (21 enodes) 1548147987.762 * * [misc]simplify: iters left: 5 (44 enodes) 1548147987.769 * * [misc]simplify: iters left: 4 (134 enodes) 1548147987.810 * * [misc]simplify: iters left: 3 (495 enodes) 1548147988.194 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ k (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ k (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147988.194 * * * * [misc]progress: [ 26 / 302 ] simplifiying candidate # 1548147988.194 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.194 * * [misc]simplify: iters left: 6 (19 enodes) 1548147988.197 * * [misc]simplify: iters left: 5 (43 enodes) 1548147988.205 * * [misc]simplify: iters left: 4 (114 enodes) 1548147988.235 * * [misc]simplify: iters left: 3 (334 enodes) 1548147988.416 * [exit]simplify: Simplified to (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3) 1548147988.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3))) 1548147988.416 * * * * [misc]progress: [ 27 / 302 ] simplifiying candidate # 1548147988.416 * * * * [misc]progress: [ 28 / 302 ] simplifiying candidate # 1548147988.416 * * * * [misc]progress: [ 29 / 302 ] simplifiying candidate # 1548147988.417 * * * * [misc]progress: [ 30 / 302 ] simplifiying candidate # 1548147988.417 * * * * [misc]progress: [ 31 / 302 ] simplifiying candidate # 1548147988.417 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147988.417 * * [misc]simplify: iters left: 6 (17 enodes) 1548147988.419 * * [misc]simplify: iters left: 5 (26 enodes) 1548147988.423 * * [misc]simplify: iters left: 4 (31 enodes) 1548147988.426 * * [misc]simplify: iters left: 3 (33 enodes) 1548147988.430 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.430 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147988.430 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.431 * * [misc]simplify: iters left: 6 (17 enodes) 1548147988.433 * * [misc]simplify: iters left: 5 (27 enodes) 1548147988.436 * * [misc]simplify: iters left: 4 (41 enodes) 1548147988.441 * * [misc]simplify: iters left: 3 (71 enodes) 1548147988.449 * * [misc]simplify: iters left: 2 (93 enodes) 1548147988.462 * * [misc]simplify: iters left: 1 (101 enodes) 1548147988.480 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147988.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147988.480 * * * * [misc]progress: [ 32 / 302 ] simplifiying candidate # 1548147988.480 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.481 * * [misc]simplify: iters left: 6 (16 enodes) 1548147988.485 * * [misc]simplify: iters left: 5 (23 enodes) 1548147988.491 * * [misc]simplify: iters left: 4 (28 enodes) 1548147988.498 * * [misc]simplify: iters left: 3 (30 enodes) 1548147988.506 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.506 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147988.506 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147988.506 * * [misc]simplify: iters left: 6 (17 enodes) 1548147988.511 * * [misc]simplify: iters left: 5 (27 enodes) 1548147988.519 * * [misc]simplify: iters left: 4 (41 enodes) 1548147988.530 * * [misc]simplify: iters left: 3 (71 enodes) 1548147988.545 * * [misc]simplify: iters left: 2 (93 enodes) 1548147988.565 * * [misc]simplify: iters left: 1 (101 enodes) 1548147988.586 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147988.586 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147988.586 * * * * [misc]progress: [ 33 / 302 ] simplifiying candidate # 1548147988.586 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147988.586 * * [misc]simplify: iters left: 6 (15 enodes) 1548147988.591 * * [misc]simplify: iters left: 5 (25 enodes) 1548147988.599 * * [misc]simplify: iters left: 4 (34 enodes) 1548147988.609 * * [misc]simplify: iters left: 3 (48 enodes) 1548147988.617 * * [misc]simplify: iters left: 2 (53 enodes) 1548147988.623 * * [misc]simplify: iters left: 1 (60 enodes) 1548147988.630 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147988.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147988.630 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147988.631 * * [misc]simplify: iters left: 6 (15 enodes) 1548147988.633 * * [misc]simplify: iters left: 5 (26 enodes) 1548147988.636 * * [misc]simplify: iters left: 4 (42 enodes) 1548147988.642 * * [misc]simplify: iters left: 3 (78 enodes) 1548147988.658 * * [misc]simplify: iters left: 2 (126 enodes) 1548147988.685 * * [misc]simplify: iters left: 1 (179 enodes) 1548147988.722 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147988.722 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147988.722 * * * * [misc]progress: [ 34 / 302 ] simplifiying candidate # 1548147988.722 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147988.722 * * [misc]simplify: iters left: 6 (15 enodes) 1548147988.724 * * [misc]simplify: iters left: 5 (25 enodes) 1548147988.728 * * [misc]simplify: iters left: 4 (34 enodes) 1548147988.733 * * [misc]simplify: iters left: 3 (48 enodes) 1548147988.738 * * [misc]simplify: iters left: 2 (53 enodes) 1548147988.744 * * [misc]simplify: iters left: 1 (60 enodes) 1548147988.753 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147988.754 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147988.754 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147988.754 * * [misc]simplify: iters left: 6 (15 enodes) 1548147988.758 * * [misc]simplify: iters left: 5 (26 enodes) 1548147988.765 * * [misc]simplify: iters left: 4 (42 enodes) 1548147988.776 * * [misc]simplify: iters left: 3 (78 enodes) 1548147988.797 * * [misc]simplify: iters left: 2 (126 enodes) 1548147988.813 * * [misc]simplify: iters left: 1 (179 enodes) 1548147988.847 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147988.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147988.847 * * * * [misc]progress: [ 35 / 302 ] simplifiying candidate # 1548147988.848 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147988.848 * * [misc]simplify: iters left: 6 (16 enodes) 1548147988.853 * * [misc]simplify: iters left: 5 (26 enodes) 1548147988.860 * * [misc]simplify: iters left: 4 (38 enodes) 1548147988.869 * * [misc]simplify: iters left: 3 (52 enodes) 1548147988.882 * * [misc]simplify: iters left: 2 (57 enodes) 1548147988.895 * * [misc]simplify: iters left: 1 (64 enodes) 1548147988.912 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147988.912 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147988.913 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147988.913 * * [misc]simplify: iters left: 6 (15 enodes) 1548147988.917 * * [misc]simplify: iters left: 5 (26 enodes) 1548147988.924 * * [misc]simplify: iters left: 4 (43 enodes) 1548147988.935 * * [misc]simplify: iters left: 3 (79 enodes) 1548147988.953 * * [misc]simplify: iters left: 2 (127 enodes) 1548147988.970 * * [misc]simplify: iters left: 1 (180 enodes) 1548147989.008 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147989.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147989.008 * * * * [misc]progress: [ 36 / 302 ] simplifiying candidate # 1548147989.009 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147989.009 * * [misc]simplify: iters left: 6 (19 enodes) 1548147989.013 * * [misc]simplify: iters left: 5 (34 enodes) 1548147989.018 * * [misc]simplify: iters left: 4 (57 enodes) 1548147989.026 * * [misc]simplify: iters left: 3 (84 enodes) 1548147989.039 * * [misc]simplify: iters left: 2 (118 enodes) 1548147989.062 * * [misc]simplify: iters left: 1 (141 enodes) 1548147989.105 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147989.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147989.106 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147989.106 * * [misc]simplify: iters left: 6 (18 enodes) 1548147989.111 * * [misc]simplify: iters left: 5 (30 enodes) 1548147989.119 * * [misc]simplify: iters left: 4 (47 enodes) 1548147989.131 * * [misc]simplify: iters left: 3 (83 enodes) 1548147989.150 * * [misc]simplify: iters left: 2 (131 enodes) 1548147989.183 * * [misc]simplify: iters left: 1 (184 enodes) 1548147989.232 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147989.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147989.232 * * * * [misc]progress: [ 37 / 302 ] simplifiying candidate # 1548147989.232 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147989.234 * * [misc]simplify: iters left: 6 (18 enodes) 1548147989.239 * * [misc]simplify: iters left: 5 (29 enodes) 1548147989.247 * * [misc]simplify: iters left: 4 (41 enodes) 1548147989.258 * * [misc]simplify: iters left: 3 (55 enodes) 1548147989.271 * * [misc]simplify: iters left: 2 (60 enodes) 1548147989.284 * * [misc]simplify: iters left: 1 (67 enodes) 1548147989.300 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147989.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147989.301 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147989.301 * * [misc]simplify: iters left: 6 (18 enodes) 1548147989.306 * * [misc]simplify: iters left: 5 (30 enodes) 1548147989.315 * * [misc]simplify: iters left: 4 (47 enodes) 1548147989.327 * * [misc]simplify: iters left: 3 (83 enodes) 1548147989.347 * * [misc]simplify: iters left: 2 (131 enodes) 1548147989.381 * * [misc]simplify: iters left: 1 (184 enodes) 1548147989.432 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147989.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147989.432 * * * * [misc]progress: [ 38 / 302 ] simplifiying candidate # 1548147989.432 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147989.433 * * [misc]simplify: iters left: 6 (12 enodes) 1548147989.436 * * [misc]simplify: iters left: 5 (22 enodes) 1548147989.443 * * [misc]simplify: iters left: 4 (35 enodes) 1548147989.452 * * [misc]simplify: iters left: 3 (57 enodes) 1548147989.468 * * [misc]simplify: iters left: 2 (124 enodes) 1548147989.498 * * [misc]simplify: iters left: 1 (186 enodes) 1548147989.517 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147989.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147989.518 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147989.518 * * [misc]simplify: iters left: 6 (17 enodes) 1548147989.523 * * [misc]simplify: iters left: 5 (29 enodes) 1548147989.532 * * [misc]simplify: iters left: 4 (46 enodes) 1548147989.538 * * [misc]simplify: iters left: 3 (82 enodes) 1548147989.548 * * [misc]simplify: iters left: 2 (130 enodes) 1548147989.565 * * [misc]simplify: iters left: 1 (183 enodes) 1548147989.591 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147989.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147989.591 * * * * [misc]progress: [ 39 / 302 ] simplifiying candidate # 1548147989.591 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147989.591 * * [misc]simplify: iters left: 6 (14 enodes) 1548147989.593 * * [misc]simplify: iters left: 5 (22 enodes) 1548147989.596 * * [misc]simplify: iters left: 4 (27 enodes) 1548147989.599 * * [misc]simplify: iters left: 3 (31 enodes) 1548147989.605 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147989.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147989.605 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147989.606 * * [misc]simplify: iters left: 6 (15 enodes) 1548147989.610 * * [misc]simplify: iters left: 5 (26 enodes) 1548147989.617 * * [misc]simplify: iters left: 4 (42 enodes) 1548147989.622 * * [misc]simplify: iters left: 3 (78 enodes) 1548147989.632 * * [misc]simplify: iters left: 2 (126 enodes) 1548147989.655 * * [misc]simplify: iters left: 1 (179 enodes) 1548147989.692 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147989.693 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147989.693 * * * * [misc]progress: [ 40 / 302 ] simplifiying candidate # 1548147989.693 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147989.693 * * [misc]simplify: iters left: 6 (14 enodes) 1548147989.695 * * [misc]simplify: iters left: 5 (22 enodes) 1548147989.698 * * [misc]simplify: iters left: 4 (27 enodes) 1548147989.703 * * [misc]simplify: iters left: 3 (31 enodes) 1548147989.710 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147989.710 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147989.710 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147989.710 * * [misc]simplify: iters left: 6 (15 enodes) 1548147989.715 * * [misc]simplify: iters left: 5 (26 enodes) 1548147989.722 * * [misc]simplify: iters left: 4 (42 enodes) 1548147989.733 * * [misc]simplify: iters left: 3 (78 enodes) 1548147989.752 * * [misc]simplify: iters left: 2 (126 enodes) 1548147989.786 * * [misc]simplify: iters left: 1 (179 enodes) 1548147989.810 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147989.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147989.810 * * * * [misc]progress: [ 41 / 302 ] simplifiying candidate # 1548147989.811 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147989.811 * * [misc]simplify: iters left: 6 (15 enodes) 1548147989.813 * * [misc]simplify: iters left: 5 (23 enodes) 1548147989.816 * * [misc]simplify: iters left: 4 (31 enodes) 1548147989.823 * * [misc]simplify: iters left: 3 (35 enodes) 1548147989.831 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548147989.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147989.831 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147989.831 * * [misc]simplify: iters left: 6 (15 enodes) 1548147989.836 * * [misc]simplify: iters left: 5 (26 enodes) 1548147989.843 * * [misc]simplify: iters left: 4 (43 enodes) 1548147989.855 * * [misc]simplify: iters left: 3 (79 enodes) 1548147989.873 * * [misc]simplify: iters left: 2 (127 enodes) 1548147989.908 * * [misc]simplify: iters left: 1 (180 enodes) 1548147989.955 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147989.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147989.955 * * * * [misc]progress: [ 42 / 302 ] simplifiying candidate # 1548147989.956 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147989.956 * * [misc]simplify: iters left: 6 (18 enodes) 1548147989.961 * * [misc]simplify: iters left: 5 (29 enodes) 1548147989.969 * * [misc]simplify: iters left: 4 (39 enodes) 1548147989.979 * * [misc]simplify: iters left: 3 (50 enodes) 1548147989.992 * * [misc]simplify: iters left: 2 (58 enodes) 1548147990.005 * * [misc]simplify: iters left: 1 (60 enodes) 1548147990.022 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147990.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147990.022 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147990.022 * * [misc]simplify: iters left: 6 (18 enodes) 1548147990.028 * * [misc]simplify: iters left: 5 (30 enodes) 1548147990.036 * * [misc]simplify: iters left: 4 (47 enodes) 1548147990.043 * * [misc]simplify: iters left: 3 (83 enodes) 1548147990.053 * * [misc]simplify: iters left: 2 (131 enodes) 1548147990.071 * * [misc]simplify: iters left: 1 (184 enodes) 1548147990.112 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147990.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147990.112 * * * * [misc]progress: [ 43 / 302 ] simplifiying candidate # 1548147990.112 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147990.112 * * [misc]simplify: iters left: 6 (17 enodes) 1548147990.115 * * [misc]simplify: iters left: 5 (26 enodes) 1548147990.118 * * [misc]simplify: iters left: 4 (34 enodes) 1548147990.122 * * [misc]simplify: iters left: 3 (38 enodes) 1548147990.127 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147990.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147990.127 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147990.127 * * [misc]simplify: iters left: 6 (18 enodes) 1548147990.130 * * [misc]simplify: iters left: 5 (30 enodes) 1548147990.134 * * [misc]simplify: iters left: 4 (47 enodes) 1548147990.140 * * [misc]simplify: iters left: 3 (83 enodes) 1548147990.150 * * [misc]simplify: iters left: 2 (131 enodes) 1548147990.168 * * [misc]simplify: iters left: 1 (184 enodes) 1548147990.196 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147990.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147990.196 * * * * [misc]progress: [ 44 / 302 ] simplifiying candidate # 1548147990.197 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1548147990.197 * * [misc]simplify: iters left: 6 (11 enodes) 1548147990.200 * * [misc]simplify: iters left: 5 (19 enodes) 1548147990.206 * * [misc]simplify: iters left: 4 (28 enodes) 1548147990.212 * * [misc]simplify: iters left: 3 (32 enodes) 1548147990.218 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548147990.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147990.218 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147990.218 * * [misc]simplify: iters left: 6 (17 enodes) 1548147990.223 * * [misc]simplify: iters left: 5 (29 enodes) 1548147990.231 * * [misc]simplify: iters left: 4 (46 enodes) 1548147990.243 * * [misc]simplify: iters left: 3 (82 enodes) 1548147990.264 * * [misc]simplify: iters left: 2 (130 enodes) 1548147990.296 * * [misc]simplify: iters left: 1 (183 enodes) 1548147990.347 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147990.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147990.348 * * * * [misc]progress: [ 45 / 302 ] simplifiying candidate # 1548147990.348 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548147990.348 * * [misc]simplify: iters left: 6 (12 enodes) 1548147990.352 * * [misc]simplify: iters left: 5 (22 enodes) 1548147990.357 * * [misc]simplify: iters left: 4 (26 enodes) 1548147990.364 * * [misc]simplify: iters left: 3 (37 enodes) 1548147990.372 * * [misc]simplify: iters left: 2 (42 enodes) 1548147990.381 * * [misc]simplify: iters left: 1 (51 enodes) 1548147990.386 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147990.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147990.386 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147990.387 * * [misc]simplify: iters left: 6 (14 enodes) 1548147990.388 * * [misc]simplify: iters left: 5 (25 enodes) 1548147990.392 * * [misc]simplify: iters left: 4 (41 enodes) 1548147990.397 * * [misc]simplify: iters left: 3 (77 enodes) 1548147990.407 * * [misc]simplify: iters left: 2 (125 enodes) 1548147990.437 * * [misc]simplify: iters left: 1 (178 enodes) 1548147990.472 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147990.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147990.472 * * * * [misc]progress: [ 46 / 302 ] simplifiying candidate # 1548147990.472 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548147990.472 * * [misc]simplify: iters left: 6 (12 enodes) 1548147990.476 * * [misc]simplify: iters left: 5 (22 enodes) 1548147990.482 * * [misc]simplify: iters left: 4 (26 enodes) 1548147990.489 * * [misc]simplify: iters left: 3 (37 enodes) 1548147990.498 * * [misc]simplify: iters left: 2 (42 enodes) 1548147990.507 * * [misc]simplify: iters left: 1 (51 enodes) 1548147990.517 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147990.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147990.518 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147990.518 * * [misc]simplify: iters left: 6 (14 enodes) 1548147990.520 * * [misc]simplify: iters left: 5 (25 enodes) 1548147990.523 * * [misc]simplify: iters left: 4 (41 enodes) 1548147990.530 * * [misc]simplify: iters left: 3 (77 enodes) 1548147990.539 * * [misc]simplify: iters left: 2 (125 enodes) 1548147990.566 * * [misc]simplify: iters left: 1 (178 enodes) 1548147990.597 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147990.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147990.597 * * * * [misc]progress: [ 47 / 302 ] simplifiying candidate # 1548147990.597 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147990.598 * * [misc]simplify: iters left: 6 (14 enodes) 1548147990.599 * * [misc]simplify: iters left: 5 (24 enodes) 1548147990.603 * * [misc]simplify: iters left: 4 (31 enodes) 1548147990.607 * * [misc]simplify: iters left: 3 (42 enodes) 1548147990.612 * * [misc]simplify: iters left: 2 (47 enodes) 1548147990.619 * * [misc]simplify: iters left: 1 (57 enodes) 1548147990.627 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548147990.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147990.627 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147990.627 * * [misc]simplify: iters left: 6 (14 enodes) 1548147990.631 * * [misc]simplify: iters left: 5 (25 enodes) 1548147990.639 * * [misc]simplify: iters left: 4 (42 enodes) 1548147990.645 * * [misc]simplify: iters left: 3 (78 enodes) 1548147990.655 * * [misc]simplify: iters left: 2 (126 enodes) 1548147990.671 * * [misc]simplify: iters left: 1 (179 enodes) 1548147990.705 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1548147990.705 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1548147990.705 * * * * [misc]progress: [ 48 / 302 ] simplifiying candidate # 1548147990.706 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147990.706 * * [misc]simplify: iters left: 6 (17 enodes) 1548147990.708 * * [misc]simplify: iters left: 5 (30 enodes) 1548147990.713 * * [misc]simplify: iters left: 4 (39 enodes) 1548147990.718 * * [misc]simplify: iters left: 3 (56 enodes) 1548147990.727 * * [misc]simplify: iters left: 2 (73 enodes) 1548147990.746 * * [misc]simplify: iters left: 1 (94 enodes) 1548147990.773 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1548147990.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147990.774 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147990.774 * * [misc]simplify: iters left: 6 (17 enodes) 1548147990.779 * * [misc]simplify: iters left: 5 (29 enodes) 1548147990.787 * * [misc]simplify: iters left: 4 (46 enodes) 1548147990.800 * * [misc]simplify: iters left: 3 (82 enodes) 1548147990.820 * * [misc]simplify: iters left: 2 (130 enodes) 1548147990.855 * * [misc]simplify: iters left: 1 (183 enodes) 1548147990.905 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548147990.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147990.905 * * * * [misc]progress: [ 49 / 302 ] simplifiying candidate # 1548147990.906 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147990.906 * * [misc]simplify: iters left: 6 (16 enodes) 1548147990.911 * * [misc]simplify: iters left: 5 (27 enodes) 1548147990.918 * * [misc]simplify: iters left: 4 (34 enodes) 1548147990.927 * * [misc]simplify: iters left: 3 (45 enodes) 1548147990.937 * * [misc]simplify: iters left: 2 (50 enodes) 1548147990.949 * * [misc]simplify: iters left: 1 (60 enodes) 1548147990.958 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147990.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147990.958 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147990.958 * * [misc]simplify: iters left: 6 (17 enodes) 1548147990.963 * * [misc]simplify: iters left: 5 (29 enodes) 1548147990.966 * * [misc]simplify: iters left: 4 (46 enodes) 1548147990.973 * * [misc]simplify: iters left: 3 (82 enodes) 1548147990.982 * * [misc]simplify: iters left: 2 (130 enodes) 1548147991.000 * * [misc]simplify: iters left: 1 (183 enodes) 1548147991.035 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548147991.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147991.036 * * * * [misc]progress: [ 50 / 302 ] simplifiying candidate # 1548147991.036 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1548147991.036 * * [misc]simplify: iters left: 6 (8 enodes) 1548147991.039 * * [misc]simplify: iters left: 5 (14 enodes) 1548147991.042 * * [misc]simplify: iters left: 4 (16 enodes) 1548147991.049 * * [misc]simplify: iters left: 3 (18 enodes) 1548147991.052 * [exit]simplify: Simplified to (sqrt PI) 1548147991.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147991.052 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147991.053 * * [misc]simplify: iters left: 6 (16 enodes) 1548147991.057 * * [misc]simplify: iters left: 5 (28 enodes) 1548147991.065 * * [misc]simplify: iters left: 4 (45 enodes) 1548147991.075 * * [misc]simplify: iters left: 3 (81 enodes) 1548147991.084 * * [misc]simplify: iters left: 2 (129 enodes) 1548147991.101 * * [misc]simplify: iters left: 1 (181 enodes) 1548147991.131 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147991.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147991.131 * * * * [misc]progress: [ 51 / 302 ] simplifiying candidate # 1548147991.131 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1548147991.131 * * [misc]simplify: iters left: 6 (7 enodes) 1548147991.133 * * [misc]simplify: iters left: 5 (13 enodes) 1548147991.135 * * [misc]simplify: iters left: 4 (19 enodes) 1548147991.137 * [exit]simplify: Simplified to (sqrt PI) 1548147991.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147991.137 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147991.137 * * [misc]simplify: iters left: 6 (16 enodes) 1548147991.140 * * [misc]simplify: iters left: 5 (28 enodes) 1548147991.143 * * [misc]simplify: iters left: 4 (45 enodes) 1548147991.151 * * [misc]simplify: iters left: 3 (81 enodes) 1548147991.171 * * [misc]simplify: iters left: 2 (129 enodes) 1548147991.203 * * [misc]simplify: iters left: 1 (181 enodes) 1548147991.248 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147991.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147991.248 * * * * [misc]progress: [ 52 / 302 ] simplifiying candidate # 1548147991.249 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1548147991.249 * * [misc]simplify: iters left: 6 (8 enodes) 1548147991.251 * * [misc]simplify: iters left: 5 (12 enodes) 1548147991.253 * * [misc]simplify: iters left: 4 (14 enodes) 1548147991.255 * * [misc]simplify: iters left: 3 (16 enodes) 1548147991.256 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548147991.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147991.257 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147991.257 * * [misc]simplify: iters left: 6 (16 enodes) 1548147991.259 * * [misc]simplify: iters left: 5 (30 enodes) 1548147991.264 * * [misc]simplify: iters left: 4 (45 enodes) 1548147991.270 * * [misc]simplify: iters left: 3 (88 enodes) 1548147991.286 * * [misc]simplify: iters left: 2 (130 enodes) 1548147991.318 * * [misc]simplify: iters left: 1 (185 enodes) 1548147991.374 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1548147991.374 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1548147991.374 * * * * [misc]progress: [ 53 / 302 ] simplifiying candidate # 1548147991.375 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147991.375 * * [misc]simplify: iters left: 6 (13 enodes) 1548147991.379 * * [misc]simplify: iters left: 5 (21 enodes) 1548147991.385 * * [misc]simplify: iters left: 4 (26 enodes) 1548147991.391 * * [misc]simplify: iters left: 3 (30 enodes) 1548147991.398 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1548147991.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548147991.399 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1548147991.399 * * [misc]simplify: iters left: 6 (12 enodes) 1548147991.401 * * [misc]simplify: iters left: 5 (21 enodes) 1548147991.404 * * [misc]simplify: iters left: 4 (34 enodes) 1548147991.409 * * [misc]simplify: iters left: 3 (64 enodes) 1548147991.417 * * [misc]simplify: iters left: 2 (86 enodes) 1548147991.427 * * [misc]simplify: iters left: 1 (94 enodes) 1548147991.447 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548147991.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548147991.447 * * * * [misc]progress: [ 54 / 302 ] simplifiying candidate # 1548147991.447 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147991.447 * * [misc]simplify: iters left: 6 (17 enodes) 1548147991.450 * * [misc]simplify: iters left: 5 (26 enodes) 1548147991.453 * * [misc]simplify: iters left: 4 (31 enodes) 1548147991.457 * * [misc]simplify: iters left: 3 (33 enodes) 1548147991.461 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147991.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147991.462 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147991.462 * * [misc]simplify: iters left: 6 (17 enodes) 1548147991.466 * * [misc]simplify: iters left: 5 (27 enodes) 1548147991.469 * * [misc]simplify: iters left: 4 (41 enodes) 1548147991.475 * * [misc]simplify: iters left: 3 (71 enodes) 1548147991.488 * * [misc]simplify: iters left: 2 (93 enodes) 1548147991.507 * * [misc]simplify: iters left: 1 (101 enodes) 1548147991.528 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147991.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147991.529 * * * * [misc]progress: [ 55 / 302 ] simplifiying candidate # 1548147991.529 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147991.529 * * [misc]simplify: iters left: 6 (16 enodes) 1548147991.534 * * [misc]simplify: iters left: 5 (23 enodes) 1548147991.540 * * [misc]simplify: iters left: 4 (28 enodes) 1548147991.547 * * [misc]simplify: iters left: 3 (30 enodes) 1548147991.554 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147991.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147991.554 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147991.554 * * [misc]simplify: iters left: 6 (17 enodes) 1548147991.559 * * [misc]simplify: iters left: 5 (27 enodes) 1548147991.567 * * [misc]simplify: iters left: 4 (41 enodes) 1548147991.578 * * [misc]simplify: iters left: 3 (71 enodes) 1548147991.596 * * [misc]simplify: iters left: 2 (93 enodes) 1548147991.615 * * [misc]simplify: iters left: 1 (101 enodes) 1548147991.636 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147991.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147991.636 * * * * [misc]progress: [ 56 / 302 ] simplifiying candidate # 1548147991.637 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147991.637 * * [misc]simplify: iters left: 6 (15 enodes) 1548147991.641 * * [misc]simplify: iters left: 5 (25 enodes) 1548147991.648 * * [misc]simplify: iters left: 4 (34 enodes) 1548147991.653 * * [misc]simplify: iters left: 3 (48 enodes) 1548147991.658 * * [misc]simplify: iters left: 2 (53 enodes) 1548147991.665 * * [misc]simplify: iters left: 1 (60 enodes) 1548147991.672 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147991.672 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147991.672 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147991.672 * * [misc]simplify: iters left: 6 (15 enodes) 1548147991.675 * * [misc]simplify: iters left: 5 (26 enodes) 1548147991.678 * * [misc]simplify: iters left: 4 (42 enodes) 1548147991.684 * * [misc]simplify: iters left: 3 (78 enodes) 1548147991.703 * * [misc]simplify: iters left: 2 (126 enodes) 1548147991.734 * * [misc]simplify: iters left: 1 (179 enodes) 1548147991.781 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147991.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147991.781 * * * * [misc]progress: [ 57 / 302 ] simplifiying candidate # 1548147991.782 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147991.782 * * [misc]simplify: iters left: 6 (15 enodes) 1548147991.786 * * [misc]simplify: iters left: 5 (25 enodes) 1548147991.793 * * [misc]simplify: iters left: 4 (34 enodes) 1548147991.802 * * [misc]simplify: iters left: 3 (48 enodes) 1548147991.814 * * [misc]simplify: iters left: 2 (53 enodes) 1548147991.826 * * [misc]simplify: iters left: 1 (60 enodes) 1548147991.841 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548147991.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147991.842 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147991.842 * * [misc]simplify: iters left: 6 (15 enodes) 1548147991.845 * * [misc]simplify: iters left: 5 (26 enodes) 1548147991.849 * * [misc]simplify: iters left: 4 (42 enodes) 1548147991.855 * * [misc]simplify: iters left: 3 (78 enodes) 1548147991.865 * * [misc]simplify: iters left: 2 (126 enodes) 1548147991.893 * * [misc]simplify: iters left: 1 (179 enodes) 1548147991.938 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147991.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147991.939 * * * * [misc]progress: [ 58 / 302 ] simplifiying candidate # 1548147991.939 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147991.939 * * [misc]simplify: iters left: 6 (16 enodes) 1548147991.942 * * [misc]simplify: iters left: 5 (26 enodes) 1548147991.946 * * [misc]simplify: iters left: 4 (38 enodes) 1548147991.951 * * [misc]simplify: iters left: 3 (52 enodes) 1548147991.957 * * [misc]simplify: iters left: 2 (57 enodes) 1548147991.964 * * [misc]simplify: iters left: 1 (64 enodes) 1548147991.972 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147991.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147991.973 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147991.973 * * [misc]simplify: iters left: 6 (15 enodes) 1548147991.977 * * [misc]simplify: iters left: 5 (26 enodes) 1548147991.984 * * [misc]simplify: iters left: 4 (43 enodes) 1548147991.996 * * [misc]simplify: iters left: 3 (79 enodes) 1548147992.015 * * [misc]simplify: iters left: 2 (127 enodes) 1548147992.048 * * [misc]simplify: iters left: 1 (180 enodes) 1548147992.075 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147992.075 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147992.075 * * * * [misc]progress: [ 59 / 302 ] simplifiying candidate # 1548147992.075 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147992.075 * * [misc]simplify: iters left: 6 (19 enodes) 1548147992.080 * * [misc]simplify: iters left: 5 (34 enodes) 1548147992.087 * * [misc]simplify: iters left: 4 (57 enodes) 1548147992.095 * * [misc]simplify: iters left: 3 (84 enodes) 1548147992.107 * * [misc]simplify: iters left: 2 (118 enodes) 1548147992.136 * * [misc]simplify: iters left: 1 (141 enodes) 1548147992.177 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147992.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147992.178 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147992.178 * * [misc]simplify: iters left: 6 (18 enodes) 1548147992.183 * * [misc]simplify: iters left: 5 (30 enodes) 1548147992.191 * * [misc]simplify: iters left: 4 (47 enodes) 1548147992.204 * * [misc]simplify: iters left: 3 (83 enodes) 1548147992.222 * * [misc]simplify: iters left: 2 (131 enodes) 1548147992.239 * * [misc]simplify: iters left: 1 (184 enodes) 1548147992.282 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147992.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147992.282 * * * * [misc]progress: [ 60 / 302 ] simplifiying candidate # 1548147992.282 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147992.282 * * [misc]simplify: iters left: 6 (18 enodes) 1548147992.285 * * [misc]simplify: iters left: 5 (29 enodes) 1548147992.289 * * [misc]simplify: iters left: 4 (41 enodes) 1548147992.294 * * [misc]simplify: iters left: 3 (55 enodes) 1548147992.301 * * [misc]simplify: iters left: 2 (60 enodes) 1548147992.308 * * [misc]simplify: iters left: 1 (67 enodes) 1548147992.319 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548147992.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147992.320 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147992.320 * * [misc]simplify: iters left: 6 (18 enodes) 1548147992.323 * * [misc]simplify: iters left: 5 (30 enodes) 1548147992.327 * * [misc]simplify: iters left: 4 (47 enodes) 1548147992.336 * * [misc]simplify: iters left: 3 (83 enodes) 1548147992.346 * * [misc]simplify: iters left: 2 (131 enodes) 1548147992.367 * * [misc]simplify: iters left: 1 (184 enodes) 1548147992.412 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147992.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147992.413 * * * * [misc]progress: [ 61 / 302 ] simplifiying candidate # 1548147992.413 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147992.413 * * [misc]simplify: iters left: 6 (12 enodes) 1548147992.415 * * [misc]simplify: iters left: 5 (22 enodes) 1548147992.419 * * [misc]simplify: iters left: 4 (35 enodes) 1548147992.423 * * [misc]simplify: iters left: 3 (57 enodes) 1548147992.433 * * [misc]simplify: iters left: 2 (124 enodes) 1548147992.479 * * [misc]simplify: iters left: 1 (186 enodes) 1548147992.507 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147992.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147992.508 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147992.508 * * [misc]simplify: iters left: 6 (17 enodes) 1548147992.514 * * [misc]simplify: iters left: 5 (29 enodes) 1548147992.521 * * [misc]simplify: iters left: 4 (46 enodes) 1548147992.534 * * [misc]simplify: iters left: 3 (82 enodes) 1548147992.549 * * [misc]simplify: iters left: 2 (130 enodes) 1548147992.566 * * [misc]simplify: iters left: 1 (183 enodes) 1548147992.591 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1548147992.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1548147992.591 * * * * [misc]progress: [ 62 / 302 ] simplifiying candidate # 1548147992.592 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147992.592 * * [misc]simplify: iters left: 6 (14 enodes) 1548147992.594 * * [misc]simplify: iters left: 5 (22 enodes) 1548147992.596 * * [misc]simplify: iters left: 4 (27 enodes) 1548147992.603 * * [misc]simplify: iters left: 3 (31 enodes) 1548147992.611 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147992.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147992.611 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147992.611 * * [misc]simplify: iters left: 6 (15 enodes) 1548147992.616 * * [misc]simplify: iters left: 5 (26 enodes) 1548147992.623 * * [misc]simplify: iters left: 4 (42 enodes) 1548147992.636 * * [misc]simplify: iters left: 3 (78 enodes) 1548147992.655 * * [misc]simplify: iters left: 2 (126 enodes) 1548147992.684 * * [misc]simplify: iters left: 1 (179 enodes) 1548147992.708 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147992.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147992.708 * * * * [misc]progress: [ 63 / 302 ] simplifiying candidate # 1548147992.708 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147992.708 * * [misc]simplify: iters left: 6 (14 enodes) 1548147992.710 * * [misc]simplify: iters left: 5 (22 enodes) 1548147992.713 * * [misc]simplify: iters left: 4 (27 enodes) 1548147992.717 * * [misc]simplify: iters left: 3 (31 enodes) 1548147992.721 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147992.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147992.721 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147992.722 * * [misc]simplify: iters left: 6 (15 enodes) 1548147992.724 * * [misc]simplify: iters left: 5 (26 enodes) 1548147992.729 * * [misc]simplify: iters left: 4 (42 enodes) 1548147992.736 * * [misc]simplify: iters left: 3 (78 enodes) 1548147992.752 * * [misc]simplify: iters left: 2 (126 enodes) 1548147992.769 * * [misc]simplify: iters left: 1 (179 enodes) 1548147992.805 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147992.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147992.805 * * * * [misc]progress: [ 64 / 302 ] simplifiying candidate # 1548147992.806 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147992.806 * * [misc]simplify: iters left: 6 (15 enodes) 1548147992.810 * * [misc]simplify: iters left: 5 (23 enodes) 1548147992.816 * * [misc]simplify: iters left: 4 (31 enodes) 1548147992.824 * * [misc]simplify: iters left: 3 (35 enodes) 1548147992.835 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548147992.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147992.835 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147992.836 * * [misc]simplify: iters left: 6 (15 enodes) 1548147992.840 * * [misc]simplify: iters left: 5 (26 enodes) 1548147992.847 * * [misc]simplify: iters left: 4 (43 enodes) 1548147992.859 * * [misc]simplify: iters left: 3 (79 enodes) 1548147992.879 * * [misc]simplify: iters left: 2 (127 enodes) 1548147992.912 * * [misc]simplify: iters left: 1 (180 enodes) 1548147992.961 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147992.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147992.962 * * * * [misc]progress: [ 65 / 302 ] simplifiying candidate # 1548147992.962 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147992.962 * * [misc]simplify: iters left: 6 (18 enodes) 1548147992.969 * * [misc]simplify: iters left: 5 (29 enodes) 1548147992.977 * * [misc]simplify: iters left: 4 (39 enodes) 1548147992.987 * * [misc]simplify: iters left: 3 (50 enodes) 1548147992.999 * * [misc]simplify: iters left: 2 (58 enodes) 1548147993.012 * * [misc]simplify: iters left: 1 (60 enodes) 1548147993.027 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147993.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147993.028 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147993.028 * * [misc]simplify: iters left: 6 (18 enodes) 1548147993.033 * * [misc]simplify: iters left: 5 (30 enodes) 1548147993.037 * * [misc]simplify: iters left: 4 (47 enodes) 1548147993.043 * * [misc]simplify: iters left: 3 (83 enodes) 1548147993.053 * * [misc]simplify: iters left: 2 (131 enodes) 1548147993.073 * * [misc]simplify: iters left: 1 (184 enodes) 1548147993.110 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147993.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147993.110 * * * * [misc]progress: [ 66 / 302 ] simplifiying candidate # 1548147993.110 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147993.110 * * [misc]simplify: iters left: 6 (17 enodes) 1548147993.115 * * [misc]simplify: iters left: 5 (26 enodes) 1548147993.119 * * [misc]simplify: iters left: 4 (34 enodes) 1548147993.124 * * [misc]simplify: iters left: 3 (38 enodes) 1548147993.128 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147993.128 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147993.129 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147993.129 * * [misc]simplify: iters left: 6 (18 enodes) 1548147993.131 * * [misc]simplify: iters left: 5 (30 enodes) 1548147993.135 * * [misc]simplify: iters left: 4 (47 enodes) 1548147993.141 * * [misc]simplify: iters left: 3 (83 enodes) 1548147993.152 * * [misc]simplify: iters left: 2 (131 enodes) 1548147993.181 * * [misc]simplify: iters left: 1 (184 enodes) 1548147993.205 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147993.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147993.205 * * * * [misc]progress: [ 67 / 302 ] simplifiying candidate # 1548147993.205 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1548147993.205 * * [misc]simplify: iters left: 6 (11 enodes) 1548147993.207 * * [misc]simplify: iters left: 5 (19 enodes) 1548147993.210 * * [misc]simplify: iters left: 4 (28 enodes) 1548147993.213 * * [misc]simplify: iters left: 3 (32 enodes) 1548147993.216 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548147993.216 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147993.216 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147993.216 * * [misc]simplify: iters left: 6 (17 enodes) 1548147993.218 * * [misc]simplify: iters left: 5 (29 enodes) 1548147993.223 * * [misc]simplify: iters left: 4 (46 enodes) 1548147993.233 * * [misc]simplify: iters left: 3 (82 enodes) 1548147993.256 * * [misc]simplify: iters left: 2 (130 enodes) 1548147993.290 * * [misc]simplify: iters left: 1 (183 enodes) 1548147993.339 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1548147993.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1548147993.339 * * * * [misc]progress: [ 68 / 302 ] simplifiying candidate # 1548147993.340 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548147993.340 * * [misc]simplify: iters left: 6 (12 enodes) 1548147993.343 * * [misc]simplify: iters left: 5 (22 enodes) 1548147993.349 * * [misc]simplify: iters left: 4 (26 enodes) 1548147993.356 * * [misc]simplify: iters left: 3 (37 enodes) 1548147993.364 * * [misc]simplify: iters left: 2 (42 enodes) 1548147993.373 * * [misc]simplify: iters left: 1 (51 enodes) 1548147993.384 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147993.384 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147993.385 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147993.385 * * [misc]simplify: iters left: 6 (14 enodes) 1548147993.391 * * [misc]simplify: iters left: 5 (25 enodes) 1548147993.398 * * [misc]simplify: iters left: 4 (41 enodes) 1548147993.405 * * [misc]simplify: iters left: 3 (77 enodes) 1548147993.414 * * [misc]simplify: iters left: 2 (125 enodes) 1548147993.431 * * [misc]simplify: iters left: 1 (178 enodes) 1548147993.477 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147993.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147993.477 * * * * [misc]progress: [ 69 / 302 ] simplifiying candidate # 1548147993.477 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1548147993.477 * * [misc]simplify: iters left: 6 (12 enodes) 1548147993.479 * * [misc]simplify: iters left: 5 (22 enodes) 1548147993.482 * * [misc]simplify: iters left: 4 (26 enodes) 1548147993.485 * * [misc]simplify: iters left: 3 (37 enodes) 1548147993.491 * * [misc]simplify: iters left: 2 (42 enodes) 1548147993.496 * * [misc]simplify: iters left: 1 (51 enodes) 1548147993.502 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147993.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147993.502 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147993.502 * * [misc]simplify: iters left: 6 (14 enodes) 1548147993.504 * * [misc]simplify: iters left: 5 (25 enodes) 1548147993.507 * * [misc]simplify: iters left: 4 (41 enodes) 1548147993.518 * * [misc]simplify: iters left: 3 (77 enodes) 1548147993.537 * * [misc]simplify: iters left: 2 (125 enodes) 1548147993.569 * * [misc]simplify: iters left: 1 (178 enodes) 1548147993.610 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147993.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147993.610 * * * * [misc]progress: [ 70 / 302 ] simplifiying candidate # 1548147993.611 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147993.611 * * [misc]simplify: iters left: 6 (14 enodes) 1548147993.613 * * [misc]simplify: iters left: 5 (24 enodes) 1548147993.616 * * [misc]simplify: iters left: 4 (31 enodes) 1548147993.620 * * [misc]simplify: iters left: 3 (42 enodes) 1548147993.625 * * [misc]simplify: iters left: 2 (47 enodes) 1548147993.631 * * [misc]simplify: iters left: 1 (57 enodes) 1548147993.643 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548147993.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147993.643 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147993.643 * * [misc]simplify: iters left: 6 (14 enodes) 1548147993.647 * * [misc]simplify: iters left: 5 (25 enodes) 1548147993.655 * * [misc]simplify: iters left: 4 (42 enodes) 1548147993.666 * * [misc]simplify: iters left: 3 (78 enodes) 1548147993.685 * * [misc]simplify: iters left: 2 (126 enodes) 1548147993.713 * * [misc]simplify: iters left: 1 (179 enodes) 1548147993.737 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1548147993.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1548147993.737 * * * * [misc]progress: [ 71 / 302 ] simplifiying candidate # 1548147993.737 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147993.737 * * [misc]simplify: iters left: 6 (17 enodes) 1548147993.740 * * [misc]simplify: iters left: 5 (30 enodes) 1548147993.744 * * [misc]simplify: iters left: 4 (39 enodes) 1548147993.753 * * [misc]simplify: iters left: 3 (56 enodes) 1548147993.767 * * [misc]simplify: iters left: 2 (73 enodes) 1548147993.787 * * [misc]simplify: iters left: 1 (94 enodes) 1548147993.805 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1548147993.805 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147993.806 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147993.806 * * [misc]simplify: iters left: 6 (17 enodes) 1548147993.808 * * [misc]simplify: iters left: 5 (29 enodes) 1548147993.812 * * [misc]simplify: iters left: 4 (46 enodes) 1548147993.818 * * [misc]simplify: iters left: 3 (82 enodes) 1548147993.829 * * [misc]simplify: iters left: 2 (130 enodes) 1548147993.862 * * [misc]simplify: iters left: 1 (183 enodes) 1548147993.911 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548147993.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147993.911 * * * * [misc]progress: [ 72 / 302 ] simplifiying candidate # 1548147993.911 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147993.911 * * [misc]simplify: iters left: 6 (16 enodes) 1548147993.916 * * [misc]simplify: iters left: 5 (27 enodes) 1548147993.924 * * [misc]simplify: iters left: 4 (34 enodes) 1548147993.933 * * [misc]simplify: iters left: 3 (45 enodes) 1548147993.943 * * [misc]simplify: iters left: 2 (50 enodes) 1548147993.954 * * [misc]simplify: iters left: 1 (60 enodes) 1548147993.968 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147993.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147993.969 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147993.969 * * [misc]simplify: iters left: 6 (17 enodes) 1548147993.974 * * [misc]simplify: iters left: 5 (29 enodes) 1548147993.982 * * [misc]simplify: iters left: 4 (46 enodes) 1548147993.994 * * [misc]simplify: iters left: 3 (82 enodes) 1548147994.013 * * [misc]simplify: iters left: 2 (130 enodes) 1548147994.038 * * [misc]simplify: iters left: 1 (183 enodes) 1548147994.064 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548147994.065 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147994.065 * * * * [misc]progress: [ 73 / 302 ] simplifiying candidate # 1548147994.065 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1548147994.065 * * [misc]simplify: iters left: 6 (8 enodes) 1548147994.066 * * [misc]simplify: iters left: 5 (14 enodes) 1548147994.068 * * [misc]simplify: iters left: 4 (16 enodes) 1548147994.069 * * [misc]simplify: iters left: 3 (18 enodes) 1548147994.071 * [exit]simplify: Simplified to (sqrt PI) 1548147994.071 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147994.071 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147994.071 * * [misc]simplify: iters left: 6 (16 enodes) 1548147994.074 * * [misc]simplify: iters left: 5 (28 enodes) 1548147994.078 * * [misc]simplify: iters left: 4 (45 enodes) 1548147994.084 * * [misc]simplify: iters left: 3 (81 enodes) 1548147994.094 * * [misc]simplify: iters left: 2 (129 enodes) 1548147994.115 * * [misc]simplify: iters left: 1 (181 enodes) 1548147994.151 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147994.151 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147994.151 * * * * [misc]progress: [ 74 / 302 ] simplifiying candidate # 1548147994.151 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1548147994.151 * * [misc]simplify: iters left: 6 (7 enodes) 1548147994.152 * * [misc]simplify: iters left: 5 (13 enodes) 1548147994.155 * * [misc]simplify: iters left: 4 (19 enodes) 1548147994.156 * [exit]simplify: Simplified to (sqrt PI) 1548147994.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147994.157 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147994.157 * * [misc]simplify: iters left: 6 (16 enodes) 1548147994.159 * * [misc]simplify: iters left: 5 (28 enodes) 1548147994.163 * * [misc]simplify: iters left: 4 (45 enodes) 1548147994.170 * * [misc]simplify: iters left: 3 (81 enodes) 1548147994.189 * * [misc]simplify: iters left: 2 (129 enodes) 1548147994.222 * * [misc]simplify: iters left: 1 (181 enodes) 1548147994.271 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147994.271 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147994.271 * * * * [misc]progress: [ 75 / 302 ] simplifiying candidate # 1548147994.271 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1548147994.271 * * [misc]simplify: iters left: 6 (8 enodes) 1548147994.274 * * [misc]simplify: iters left: 5 (12 enodes) 1548147994.277 * * [misc]simplify: iters left: 4 (14 enodes) 1548147994.280 * * [misc]simplify: iters left: 3 (16 enodes) 1548147994.284 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548147994.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147994.284 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147994.284 * * [misc]simplify: iters left: 6 (16 enodes) 1548147994.289 * * [misc]simplify: iters left: 5 (30 enodes) 1548147994.297 * * [misc]simplify: iters left: 4 (45 enodes) 1548147994.303 * * [misc]simplify: iters left: 3 (88 enodes) 1548147994.314 * * [misc]simplify: iters left: 2 (130 enodes) 1548147994.340 * * [misc]simplify: iters left: 1 (185 enodes) 1548147994.393 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1548147994.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1548147994.393 * * * * [misc]progress: [ 76 / 302 ] simplifiying candidate # 1548147994.393 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147994.393 * * [misc]simplify: iters left: 6 (13 enodes) 1548147994.397 * * [misc]simplify: iters left: 5 (21 enodes) 1548147994.403 * * [misc]simplify: iters left: 4 (26 enodes) 1548147994.409 * * [misc]simplify: iters left: 3 (30 enodes) 1548147994.416 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1548147994.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548147994.416 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1548147994.416 * * [misc]simplify: iters left: 6 (12 enodes) 1548147994.418 * * [misc]simplify: iters left: 5 (21 enodes) 1548147994.421 * * [misc]simplify: iters left: 4 (34 enodes) 1548147994.426 * * [misc]simplify: iters left: 3 (64 enodes) 1548147994.433 * * [misc]simplify: iters left: 2 (86 enodes) 1548147994.443 * * [misc]simplify: iters left: 1 (94 enodes) 1548147994.463 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548147994.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548147994.463 * * * * [misc]progress: [ 77 / 302 ] simplifiying candidate # 1548147994.464 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147994.464 * * [misc]simplify: iters left: 6 (17 enodes) 1548147994.467 * * [misc]simplify: iters left: 5 (25 enodes) 1548147994.471 * * [misc]simplify: iters left: 4 (29 enodes) 1548147994.475 * * [misc]simplify: iters left: 3 (32 enodes) 1548147994.480 * * [misc]simplify: iters left: 2 (33 enodes) 1548147994.484 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147994.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147994.484 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147994.484 * * [misc]simplify: iters left: 6 (17 enodes) 1548147994.487 * * [misc]simplify: iters left: 5 (26 enodes) 1548147994.490 * * [misc]simplify: iters left: 4 (45 enodes) 1548147994.496 * * [misc]simplify: iters left: 3 (74 enodes) 1548147994.507 * * [misc]simplify: iters left: 2 (90 enodes) 1548147994.516 * * [misc]simplify: iters left: 1 (100 enodes) 1548147994.526 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147994.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147994.526 * * * * [misc]progress: [ 78 / 302 ] simplifiying candidate # 1548147994.527 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147994.527 * * [misc]simplify: iters left: 6 (16 enodes) 1548147994.530 * * [misc]simplify: iters left: 5 (22 enodes) 1548147994.539 * * [misc]simplify: iters left: 4 (26 enodes) 1548147994.546 * * [misc]simplify: iters left: 3 (29 enodes) 1548147994.551 * * [misc]simplify: iters left: 2 (30 enodes) 1548147994.555 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147994.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147994.555 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147994.555 * * [misc]simplify: iters left: 6 (17 enodes) 1548147994.557 * * [misc]simplify: iters left: 5 (26 enodes) 1548147994.561 * * [misc]simplify: iters left: 4 (45 enodes) 1548147994.567 * * [misc]simplify: iters left: 3 (74 enodes) 1548147994.575 * * [misc]simplify: iters left: 2 (90 enodes) 1548147994.584 * * [misc]simplify: iters left: 1 (100 enodes) 1548147994.595 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147994.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147994.595 * * * * [misc]progress: [ 79 / 302 ] simplifiying candidate # 1548147994.595 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147994.595 * * [misc]simplify: iters left: 6 (15 enodes) 1548147994.598 * * [misc]simplify: iters left: 5 (24 enodes) 1548147994.601 * * [misc]simplify: iters left: 4 (32 enodes) 1548147994.607 * * [misc]simplify: iters left: 3 (47 enodes) 1548147994.619 * * [misc]simplify: iters left: 2 (53 enodes) 1548147994.633 * * [misc]simplify: iters left: 1 (60 enodes) 1548147994.647 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548147994.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147994.647 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147994.648 * * [misc]simplify: iters left: 6 (15 enodes) 1548147994.652 * * [misc]simplify: iters left: 5 (25 enodes) 1548147994.659 * * [misc]simplify: iters left: 4 (46 enodes) 1548147994.672 * * [misc]simplify: iters left: 3 (81 enodes) 1548147994.691 * * [misc]simplify: iters left: 2 (123 enodes) 1548147994.721 * * [misc]simplify: iters left: 1 (177 enodes) 1548147994.757 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147994.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147994.758 * * * * [misc]progress: [ 80 / 302 ] simplifiying candidate # 1548147994.758 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147994.758 * * [misc]simplify: iters left: 6 (15 enodes) 1548147994.761 * * [misc]simplify: iters left: 5 (24 enodes) 1548147994.765 * * [misc]simplify: iters left: 4 (32 enodes) 1548147994.770 * * [misc]simplify: iters left: 3 (47 enodes) 1548147994.776 * * [misc]simplify: iters left: 2 (53 enodes) 1548147994.787 * * [misc]simplify: iters left: 1 (60 enodes) 1548147994.797 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548147994.797 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147994.797 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147994.797 * * [misc]simplify: iters left: 6 (15 enodes) 1548147994.799 * * [misc]simplify: iters left: 5 (25 enodes) 1548147994.803 * * [misc]simplify: iters left: 4 (46 enodes) 1548147994.809 * * [misc]simplify: iters left: 3 (81 enodes) 1548147994.818 * * [misc]simplify: iters left: 2 (123 enodes) 1548147994.840 * * [misc]simplify: iters left: 1 (177 enodes) 1548147994.865 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147994.865 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147994.866 * * * * [misc]progress: [ 81 / 302 ] simplifiying candidate # 1548147994.866 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147994.866 * * [misc]simplify: iters left: 6 (16 enodes) 1548147994.870 * * [misc]simplify: iters left: 5 (25 enodes) 1548147994.877 * * [misc]simplify: iters left: 4 (36 enodes) 1548147994.886 * * [misc]simplify: iters left: 3 (51 enodes) 1548147994.895 * * [misc]simplify: iters left: 2 (57 enodes) 1548147994.902 * * [misc]simplify: iters left: 1 (64 enodes) 1548147994.909 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1548147994.909 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147994.910 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147994.910 * * [misc]simplify: iters left: 6 (15 enodes) 1548147994.912 * * [misc]simplify: iters left: 5 (25 enodes) 1548147994.915 * * [misc]simplify: iters left: 4 (47 enodes) 1548147994.926 * * [misc]simplify: iters left: 3 (82 enodes) 1548147994.946 * * [misc]simplify: iters left: 2 (124 enodes) 1548147994.976 * * [misc]simplify: iters left: 1 (178 enodes) 1548147995.023 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147995.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147995.023 * * * * [misc]progress: [ 82 / 302 ] simplifiying candidate # 1548147995.023 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147995.023 * * [misc]simplify: iters left: 6 (19 enodes) 1548147995.030 * * [misc]simplify: iters left: 5 (33 enodes) 1548147995.040 * * [misc]simplify: iters left: 4 (55 enodes) 1548147995.058 * * [misc]simplify: iters left: 3 (83 enodes) 1548147995.081 * * [misc]simplify: iters left: 2 (118 enodes) 1548147995.114 * * [misc]simplify: iters left: 1 (141 enodes) 1548147995.156 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1548147995.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147995.156 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147995.156 * * [misc]simplify: iters left: 6 (18 enodes) 1548147995.159 * * [misc]simplify: iters left: 5 (29 enodes) 1548147995.163 * * [misc]simplify: iters left: 4 (51 enodes) 1548147995.169 * * [misc]simplify: iters left: 3 (86 enodes) 1548147995.183 * * [misc]simplify: iters left: 2 (128 enodes) 1548147995.210 * * [misc]simplify: iters left: 1 (183 enodes) 1548147995.236 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147995.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147995.236 * * * * [misc]progress: [ 83 / 302 ] simplifiying candidate # 1548147995.236 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147995.236 * * [misc]simplify: iters left: 6 (18 enodes) 1548147995.239 * * [misc]simplify: iters left: 5 (28 enodes) 1548147995.246 * * [misc]simplify: iters left: 4 (39 enodes) 1548147995.258 * * [misc]simplify: iters left: 3 (54 enodes) 1548147995.274 * * [misc]simplify: iters left: 2 (60 enodes) 1548147995.288 * * [misc]simplify: iters left: 1 (67 enodes) 1548147995.304 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1548147995.304 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147995.304 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147995.305 * * [misc]simplify: iters left: 6 (18 enodes) 1548147995.310 * * [misc]simplify: iters left: 5 (29 enodes) 1548147995.318 * * [misc]simplify: iters left: 4 (51 enodes) 1548147995.332 * * [misc]simplify: iters left: 3 (86 enodes) 1548147995.354 * * [misc]simplify: iters left: 2 (128 enodes) 1548147995.385 * * [misc]simplify: iters left: 1 (183 enodes) 1548147995.436 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147995.436 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147995.436 * * * * [misc]progress: [ 84 / 302 ] simplifiying candidate # 1548147995.436 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147995.436 * * [misc]simplify: iters left: 6 (12 enodes) 1548147995.441 * * [misc]simplify: iters left: 5 (21 enodes) 1548147995.448 * * [misc]simplify: iters left: 4 (33 enodes) 1548147995.457 * * [misc]simplify: iters left: 3 (56 enodes) 1548147995.474 * * [misc]simplify: iters left: 2 (119 enodes) 1548147995.502 * * [misc]simplify: iters left: 1 (173 enodes) 1548147995.524 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147995.524 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147995.524 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147995.524 * * [misc]simplify: iters left: 6 (17 enodes) 1548147995.529 * * [misc]simplify: iters left: 5 (28 enodes) 1548147995.538 * * [misc]simplify: iters left: 4 (50 enodes) 1548147995.546 * * [misc]simplify: iters left: 3 (85 enodes) 1548147995.556 * * [misc]simplify: iters left: 2 (127 enodes) 1548147995.575 * * [misc]simplify: iters left: 1 (181 enodes) 1548147995.623 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147995.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147995.624 * * * * [misc]progress: [ 85 / 302 ] simplifiying candidate # 1548147995.624 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147995.626 * * [misc]simplify: iters left: 6 (14 enodes) 1548147995.631 * * [misc]simplify: iters left: 5 (21 enodes) 1548147995.637 * * [misc]simplify: iters left: 4 (25 enodes) 1548147995.643 * * [misc]simplify: iters left: 3 (30 enodes) 1548147995.651 * * [misc]simplify: iters left: 2 (31 enodes) 1548147995.658 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147995.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147995.659 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147995.659 * * [misc]simplify: iters left: 6 (15 enodes) 1548147995.663 * * [misc]simplify: iters left: 5 (25 enodes) 1548147995.671 * * [misc]simplify: iters left: 4 (46 enodes) 1548147995.684 * * [misc]simplify: iters left: 3 (81 enodes) 1548147995.694 * * [misc]simplify: iters left: 2 (123 enodes) 1548147995.709 * * [misc]simplify: iters left: 1 (177 enodes) 1548147995.753 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147995.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147995.753 * * * * [misc]progress: [ 86 / 302 ] simplifiying candidate # 1548147995.754 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147995.754 * * [misc]simplify: iters left: 6 (14 enodes) 1548147995.758 * * [misc]simplify: iters left: 5 (21 enodes) 1548147995.764 * * [misc]simplify: iters left: 4 (25 enodes) 1548147995.771 * * [misc]simplify: iters left: 3 (30 enodes) 1548147995.778 * * [misc]simplify: iters left: 2 (31 enodes) 1548147995.785 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147995.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147995.786 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147995.786 * * [misc]simplify: iters left: 6 (15 enodes) 1548147995.790 * * [misc]simplify: iters left: 5 (25 enodes) 1548147995.797 * * [misc]simplify: iters left: 4 (46 enodes) 1548147995.809 * * [misc]simplify: iters left: 3 (81 enodes) 1548147995.828 * * [misc]simplify: iters left: 2 (123 enodes) 1548147995.858 * * [misc]simplify: iters left: 1 (177 enodes) 1548147995.908 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147995.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147995.908 * * * * [misc]progress: [ 87 / 302 ] simplifiying candidate # 1548147995.908 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147995.909 * * [misc]simplify: iters left: 6 (15 enodes) 1548147995.914 * * [misc]simplify: iters left: 5 (22 enodes) 1548147995.921 * * [misc]simplify: iters left: 4 (29 enodes) 1548147995.929 * * [misc]simplify: iters left: 3 (34 enodes) 1548147995.937 * * [misc]simplify: iters left: 2 (35 enodes) 1548147995.946 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147995.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147995.946 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147995.946 * * [misc]simplify: iters left: 6 (15 enodes) 1548147995.950 * * [misc]simplify: iters left: 5 (25 enodes) 1548147995.957 * * [misc]simplify: iters left: 4 (47 enodes) 1548147995.971 * * [misc]simplify: iters left: 3 (82 enodes) 1548147995.989 * * [misc]simplify: iters left: 2 (124 enodes) 1548147996.024 * * [misc]simplify: iters left: 1 (178 enodes) 1548147996.071 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147996.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147996.071 * * * * [misc]progress: [ 88 / 302 ] simplifiying candidate # 1548147996.072 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147996.072 * * [misc]simplify: iters left: 6 (18 enodes) 1548147996.078 * * [misc]simplify: iters left: 5 (28 enodes) 1548147996.086 * * [misc]simplify: iters left: 4 (37 enodes) 1548147996.096 * * [misc]simplify: iters left: 3 (49 enodes) 1548147996.109 * * [misc]simplify: iters left: 2 (58 enodes) 1548147996.122 * * [misc]simplify: iters left: 1 (60 enodes) 1548147996.137 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1548147996.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147996.137 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147996.138 * * [misc]simplify: iters left: 6 (18 enodes) 1548147996.143 * * [misc]simplify: iters left: 5 (29 enodes) 1548147996.151 * * [misc]simplify: iters left: 4 (51 enodes) 1548147996.168 * * [misc]simplify: iters left: 3 (86 enodes) 1548147996.188 * * [misc]simplify: iters left: 2 (128 enodes) 1548147996.220 * * [misc]simplify: iters left: 1 (183 enodes) 1548147996.268 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147996.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147996.269 * * * * [misc]progress: [ 89 / 302 ] simplifiying candidate # 1548147996.269 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147996.269 * * [misc]simplify: iters left: 6 (17 enodes) 1548147996.275 * * [misc]simplify: iters left: 5 (25 enodes) 1548147996.282 * * [misc]simplify: iters left: 4 (32 enodes) 1548147996.290 * * [misc]simplify: iters left: 3 (37 enodes) 1548147996.301 * * [misc]simplify: iters left: 2 (38 enodes) 1548147996.310 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147996.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147996.311 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147996.311 * * [misc]simplify: iters left: 6 (18 enodes) 1548147996.314 * * [misc]simplify: iters left: 5 (29 enodes) 1548147996.318 * * [misc]simplify: iters left: 4 (51 enodes) 1548147996.325 * * [misc]simplify: iters left: 3 (86 enodes) 1548147996.335 * * [misc]simplify: iters left: 2 (128 enodes) 1548147996.352 * * [misc]simplify: iters left: 1 (183 enodes) 1548147996.390 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147996.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147996.390 * * * * [misc]progress: [ 90 / 302 ] simplifiying candidate # 1548147996.391 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1548147996.391 * * [misc]simplify: iters left: 6 (11 enodes) 1548147996.394 * * [misc]simplify: iters left: 5 (18 enodes) 1548147996.400 * * [misc]simplify: iters left: 4 (26 enodes) 1548147996.407 * * [misc]simplify: iters left: 3 (31 enodes) 1548147996.414 * * [misc]simplify: iters left: 2 (32 enodes) 1548147996.419 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548147996.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147996.420 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147996.420 * * [misc]simplify: iters left: 6 (17 enodes) 1548147996.425 * * [misc]simplify: iters left: 5 (28 enodes) 1548147996.433 * * [misc]simplify: iters left: 4 (50 enodes) 1548147996.447 * * [misc]simplify: iters left: 3 (85 enodes) 1548147996.457 * * [misc]simplify: iters left: 2 (127 enodes) 1548147996.474 * * [misc]simplify: iters left: 1 (181 enodes) 1548147996.518 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147996.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147996.518 * * * * [misc]progress: [ 91 / 302 ] simplifiying candidate # 1548147996.518 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548147996.518 * * [misc]simplify: iters left: 6 (12 enodes) 1548147996.523 * * [misc]simplify: iters left: 5 (21 enodes) 1548147996.528 * * [misc]simplify: iters left: 4 (24 enodes) 1548147996.535 * * [misc]simplify: iters left: 3 (36 enodes) 1548147996.544 * * [misc]simplify: iters left: 2 (42 enodes) 1548147996.554 * * [misc]simplify: iters left: 1 (51 enodes) 1548147996.565 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147996.565 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147996.565 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147996.565 * * [misc]simplify: iters left: 6 (14 enodes) 1548147996.570 * * [misc]simplify: iters left: 5 (24 enodes) 1548147996.576 * * [misc]simplify: iters left: 4 (45 enodes) 1548147996.589 * * [misc]simplify: iters left: 3 (80 enodes) 1548147996.608 * * [misc]simplify: iters left: 2 (122 enodes) 1548147996.642 * * [misc]simplify: iters left: 1 (177 enodes) 1548147996.690 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548147996.690 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548147996.690 * * * * [misc]progress: [ 92 / 302 ] simplifiying candidate # 1548147996.691 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548147996.691 * * [misc]simplify: iters left: 6 (12 enodes) 1548147996.695 * * [misc]simplify: iters left: 5 (21 enodes) 1548147996.701 * * [misc]simplify: iters left: 4 (24 enodes) 1548147996.708 * * [misc]simplify: iters left: 3 (36 enodes) 1548147996.717 * * [misc]simplify: iters left: 2 (42 enodes) 1548147996.726 * * [misc]simplify: iters left: 1 (51 enodes) 1548147996.737 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147996.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147996.738 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147996.738 * * [misc]simplify: iters left: 6 (14 enodes) 1548147996.742 * * [misc]simplify: iters left: 5 (24 enodes) 1548147996.749 * * [misc]simplify: iters left: 4 (45 enodes) 1548147996.759 * * [misc]simplify: iters left: 3 (80 enodes) 1548147996.772 * * [misc]simplify: iters left: 2 (122 enodes) 1548147996.788 * * [misc]simplify: iters left: 1 (177 enodes) 1548147996.831 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548147996.831 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548147996.831 * * * * [misc]progress: [ 93 / 302 ] simplifiying candidate # 1548147996.831 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147996.831 * * [misc]simplify: iters left: 6 (14 enodes) 1548147996.836 * * [misc]simplify: iters left: 5 (23 enodes) 1548147996.843 * * [misc]simplify: iters left: 4 (29 enodes) 1548147996.848 * * [misc]simplify: iters left: 3 (41 enodes) 1548147996.853 * * [misc]simplify: iters left: 2 (47 enodes) 1548147996.858 * * [misc]simplify: iters left: 1 (57 enodes) 1548147996.867 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548147996.867 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147996.867 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147996.867 * * [misc]simplify: iters left: 6 (14 enodes) 1548147996.869 * * [misc]simplify: iters left: 5 (24 enodes) 1548147996.872 * * [misc]simplify: iters left: 4 (46 enodes) 1548147996.880 * * [misc]simplify: iters left: 3 (81 enodes) 1548147996.900 * * [misc]simplify: iters left: 2 (123 enodes) 1548147996.931 * * [misc]simplify: iters left: 1 (178 enodes) 1548147996.956 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147996.956 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147996.956 * * * * [misc]progress: [ 94 / 302 ] simplifiying candidate # 1548147996.956 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147996.956 * * [misc]simplify: iters left: 6 (17 enodes) 1548147996.959 * * [misc]simplify: iters left: 5 (29 enodes) 1548147996.968 * * [misc]simplify: iters left: 4 (37 enodes) 1548147996.977 * * [misc]simplify: iters left: 3 (55 enodes) 1548147996.985 * * [misc]simplify: iters left: 2 (74 enodes) 1548147996.995 * * [misc]simplify: iters left: 1 (95 enodes) 1548147997.010 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1548147997.010 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147997.010 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.010 * * [misc]simplify: iters left: 6 (17 enodes) 1548147997.013 * * [misc]simplify: iters left: 5 (28 enodes) 1548147997.021 * * [misc]simplify: iters left: 4 (50 enodes) 1548147997.034 * * [misc]simplify: iters left: 3 (85 enodes) 1548147997.048 * * [misc]simplify: iters left: 2 (127 enodes) 1548147997.066 * * [misc]simplify: iters left: 1 (181 enodes) 1548147997.106 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548147997.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147997.106 * * * * [misc]progress: [ 95 / 302 ] simplifiying candidate # 1548147997.106 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.107 * * [misc]simplify: iters left: 6 (16 enodes) 1548147997.110 * * [misc]simplify: iters left: 5 (26 enodes) 1548147997.114 * * [misc]simplify: iters left: 4 (32 enodes) 1548147997.118 * * [misc]simplify: iters left: 3 (44 enodes) 1548147997.124 * * [misc]simplify: iters left: 2 (50 enodes) 1548147997.129 * * [misc]simplify: iters left: 1 (60 enodes) 1548147997.137 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548147997.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147997.137 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.137 * * [misc]simplify: iters left: 6 (17 enodes) 1548147997.142 * * [misc]simplify: iters left: 5 (28 enodes) 1548147997.149 * * [misc]simplify: iters left: 4 (50 enodes) 1548147997.157 * * [misc]simplify: iters left: 3 (85 enodes) 1548147997.168 * * [misc]simplify: iters left: 2 (127 enodes) 1548147997.184 * * [misc]simplify: iters left: 1 (181 enodes) 1548147997.214 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548147997.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147997.214 * * * * [misc]progress: [ 96 / 302 ] simplifiying candidate # 1548147997.215 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1548147997.215 * * [misc]simplify: iters left: 6 (8 enodes) 1548147997.216 * * [misc]simplify: iters left: 5 (13 enodes) 1548147997.218 * * [misc]simplify: iters left: 4 (14 enodes) 1548147997.220 * * [misc]simplify: iters left: 3 (17 enodes) 1548147997.222 * * [misc]simplify: iters left: 2 (18 enodes) 1548147997.225 * * [misc]simplify: iters left: 1 (20 enodes) 1548147997.227 * [exit]simplify: Simplified to (sqrt PI) 1548147997.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147997.227 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147997.227 * * [misc]simplify: iters left: 6 (16 enodes) 1548147997.233 * * [misc]simplify: iters left: 5 (27 enodes) 1548147997.241 * * [misc]simplify: iters left: 4 (49 enodes) 1548147997.254 * * [misc]simplify: iters left: 3 (84 enodes) 1548147997.273 * * [misc]simplify: iters left: 2 (126 enodes) 1548147997.304 * * [misc]simplify: iters left: 1 (181 enodes) 1548147997.343 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147997.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147997.343 * * * * [misc]progress: [ 97 / 302 ] simplifiying candidate # 1548147997.343 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1548147997.343 * * [misc]simplify: iters left: 6 (7 enodes) 1548147997.344 * * [misc]simplify: iters left: 5 (12 enodes) 1548147997.346 * * [misc]simplify: iters left: 4 (17 enodes) 1548147997.350 * * [misc]simplify: iters left: 3 (19 enodes) 1548147997.352 * [exit]simplify: Simplified to (sqrt PI) 1548147997.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147997.352 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147997.352 * * [misc]simplify: iters left: 6 (16 enodes) 1548147997.354 * * [misc]simplify: iters left: 5 (27 enodes) 1548147997.358 * * [misc]simplify: iters left: 4 (49 enodes) 1548147997.364 * * [misc]simplify: iters left: 3 (84 enodes) 1548147997.384 * * [misc]simplify: iters left: 2 (126 enodes) 1548147997.416 * * [misc]simplify: iters left: 1 (181 enodes) 1548147997.444 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147997.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147997.444 * * * * [misc]progress: [ 98 / 302 ] simplifiying candidate # 1548147997.444 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1548147997.444 * * [misc]simplify: iters left: 6 (8 enodes) 1548147997.446 * * [misc]simplify: iters left: 5 (11 enodes) 1548147997.449 * * [misc]simplify: iters left: 4 (12 enodes) 1548147997.450 * * [misc]simplify: iters left: 3 (15 enodes) 1548147997.452 * * [misc]simplify: iters left: 2 (16 enodes) 1548147997.454 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548147997.454 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147997.454 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548147997.455 * * [misc]simplify: iters left: 6 (16 enodes) 1548147997.457 * * [misc]simplify: iters left: 5 (29 enodes) 1548147997.461 * * [misc]simplify: iters left: 4 (49 enodes) 1548147997.475 * * [misc]simplify: iters left: 3 (91 enodes) 1548147997.498 * * [misc]simplify: iters left: 2 (126 enodes) 1548147997.529 * * [misc]simplify: iters left: 1 (183 enodes) 1548147997.565 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1548147997.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1548147997.565 * * * * [misc]progress: [ 99 / 302 ] simplifiying candidate # 1548147997.565 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548147997.566 * * [misc]simplify: iters left: 6 (13 enodes) 1548147997.568 * * [misc]simplify: iters left: 5 (20 enodes) 1548147997.571 * * [misc]simplify: iters left: 4 (24 enodes) 1548147997.574 * * [misc]simplify: iters left: 3 (29 enodes) 1548147997.578 * * [misc]simplify: iters left: 2 (30 enodes) 1548147997.585 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548147997.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1548147997.585 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1548147997.585 * * [misc]simplify: iters left: 6 (12 enodes) 1548147997.589 * * [misc]simplify: iters left: 5 (20 enodes) 1548147997.595 * * [misc]simplify: iters left: 4 (38 enodes) 1548147997.605 * * [misc]simplify: iters left: 3 (67 enodes) 1548147997.619 * * [misc]simplify: iters left: 2 (83 enodes) 1548147997.636 * * [misc]simplify: iters left: 1 (93 enodes) 1548147997.646 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548147997.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548147997.647 * * * * [misc]progress: [ 100 / 302 ] simplifiying candidate # 1548147997.647 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147997.647 * * [misc]simplify: iters left: 6 (17 enodes) 1548147997.650 * * [misc]simplify: iters left: 5 (25 enodes) 1548147997.653 * * [misc]simplify: iters left: 4 (29 enodes) 1548147997.657 * * [misc]simplify: iters left: 3 (32 enodes) 1548147997.663 * * [misc]simplify: iters left: 2 (33 enodes) 1548147997.667 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147997.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147997.667 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.667 * * [misc]simplify: iters left: 6 (17 enodes) 1548147997.670 * * [misc]simplify: iters left: 5 (26 enodes) 1548147997.673 * * [misc]simplify: iters left: 4 (45 enodes) 1548147997.681 * * [misc]simplify: iters left: 3 (74 enodes) 1548147997.697 * * [misc]simplify: iters left: 2 (90 enodes) 1548147997.715 * * [misc]simplify: iters left: 1 (100 enodes) 1548147997.727 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147997.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147997.727 * * * * [misc]progress: [ 101 / 302 ] simplifiying candidate # 1548147997.727 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.727 * * [misc]simplify: iters left: 6 (16 enodes) 1548147997.730 * * [misc]simplify: iters left: 5 (22 enodes) 1548147997.733 * * [misc]simplify: iters left: 4 (26 enodes) 1548147997.737 * * [misc]simplify: iters left: 3 (29 enodes) 1548147997.740 * * [misc]simplify: iters left: 2 (30 enodes) 1548147997.744 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147997.745 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147997.745 * * [misc]simplify: iters left: 6 (17 enodes) 1548147997.747 * * [misc]simplify: iters left: 5 (26 enodes) 1548147997.751 * * [misc]simplify: iters left: 4 (45 enodes) 1548147997.758 * * [misc]simplify: iters left: 3 (74 enodes) 1548147997.766 * * [misc]simplify: iters left: 2 (90 enodes) 1548147997.774 * * [misc]simplify: iters left: 1 (100 enodes) 1548147997.785 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548147997.785 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548147997.785 * * * * [misc]progress: [ 102 / 302 ] simplifiying candidate # 1548147997.786 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147997.786 * * [misc]simplify: iters left: 6 (15 enodes) 1548147997.788 * * [misc]simplify: iters left: 5 (24 enodes) 1548147997.792 * * [misc]simplify: iters left: 4 (32 enodes) 1548147997.797 * * [misc]simplify: iters left: 3 (47 enodes) 1548147997.803 * * [misc]simplify: iters left: 2 (53 enodes) 1548147997.809 * * [misc]simplify: iters left: 1 (60 enodes) 1548147997.816 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548147997.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147997.816 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147997.816 * * [misc]simplify: iters left: 6 (15 enodes) 1548147997.818 * * [misc]simplify: iters left: 5 (25 enodes) 1548147997.822 * * [misc]simplify: iters left: 4 (46 enodes) 1548147997.835 * * [misc]simplify: iters left: 3 (81 enodes) 1548147997.854 * * [misc]simplify: iters left: 2 (123 enodes) 1548147997.884 * * [misc]simplify: iters left: 1 (177 enodes) 1548147997.933 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147997.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147997.933 * * * * [misc]progress: [ 103 / 302 ] simplifiying candidate # 1548147997.933 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548147997.933 * * [misc]simplify: iters left: 6 (15 enodes) 1548147997.939 * * [misc]simplify: iters left: 5 (24 enodes) 1548147997.945 * * [misc]simplify: iters left: 4 (32 enodes) 1548147997.955 * * [misc]simplify: iters left: 3 (47 enodes) 1548147997.968 * * [misc]simplify: iters left: 2 (53 enodes) 1548147997.974 * * [misc]simplify: iters left: 1 (60 enodes) 1548147997.982 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1548147997.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147997.982 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147997.982 * * [misc]simplify: iters left: 6 (15 enodes) 1548147997.984 * * [misc]simplify: iters left: 5 (25 enodes) 1548147997.987 * * [misc]simplify: iters left: 4 (46 enodes) 1548147997.994 * * [misc]simplify: iters left: 3 (81 enodes) 1548147998.011 * * [misc]simplify: iters left: 2 (123 enodes) 1548147998.028 * * [misc]simplify: iters left: 1 (177 enodes) 1548147998.053 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147998.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147998.053 * * * * [misc]progress: [ 104 / 302 ] simplifiying candidate # 1548147998.053 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548147998.053 * * [misc]simplify: iters left: 6 (16 enodes) 1548147998.056 * * [misc]simplify: iters left: 5 (25 enodes) 1548147998.060 * * [misc]simplify: iters left: 4 (36 enodes) 1548147998.065 * * [misc]simplify: iters left: 3 (51 enodes) 1548147998.071 * * [misc]simplify: iters left: 2 (57 enodes) 1548147998.078 * * [misc]simplify: iters left: 1 (64 enodes) 1548147998.086 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1548147998.086 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147998.086 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147998.086 * * [misc]simplify: iters left: 6 (15 enodes) 1548147998.088 * * [misc]simplify: iters left: 5 (25 enodes) 1548147998.092 * * [misc]simplify: iters left: 4 (47 enodes) 1548147998.099 * * [misc]simplify: iters left: 3 (82 enodes) 1548147998.108 * * [misc]simplify: iters left: 2 (124 enodes) 1548147998.143 * * [misc]simplify: iters left: 1 (178 enodes) 1548147998.172 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147998.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147998.172 * * * * [misc]progress: [ 105 / 302 ] simplifiying candidate # 1548147998.172 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147998.172 * * [misc]simplify: iters left: 6 (19 enodes) 1548147998.175 * * [misc]simplify: iters left: 5 (33 enodes) 1548147998.181 * * [misc]simplify: iters left: 4 (55 enodes) 1548147998.192 * * [misc]simplify: iters left: 3 (83 enodes) 1548147998.217 * * [misc]simplify: iters left: 2 (118 enodes) 1548147998.253 * * [misc]simplify: iters left: 1 (141 enodes) 1548147998.296 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1548147998.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147998.296 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147998.296 * * [misc]simplify: iters left: 6 (18 enodes) 1548147998.302 * * [misc]simplify: iters left: 5 (29 enodes) 1548147998.310 * * [misc]simplify: iters left: 4 (51 enodes) 1548147998.324 * * [misc]simplify: iters left: 3 (86 enodes) 1548147998.345 * * [misc]simplify: iters left: 2 (128 enodes) 1548147998.366 * * [misc]simplify: iters left: 1 (183 enodes) 1548147998.390 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147998.391 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147998.391 * * * * [misc]progress: [ 106 / 302 ] simplifiying candidate # 1548147998.391 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147998.391 * * [misc]simplify: iters left: 6 (18 enodes) 1548147998.394 * * [misc]simplify: iters left: 5 (28 enodes) 1548147998.398 * * [misc]simplify: iters left: 4 (39 enodes) 1548147998.404 * * [misc]simplify: iters left: 3 (54 enodes) 1548147998.413 * * [misc]simplify: iters left: 2 (60 enodes) 1548147998.427 * * [misc]simplify: iters left: 1 (67 enodes) 1548147998.442 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1548147998.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147998.443 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147998.443 * * [misc]simplify: iters left: 6 (18 enodes) 1548147998.448 * * [misc]simplify: iters left: 5 (29 enodes) 1548147998.459 * * [misc]simplify: iters left: 4 (51 enodes) 1548147998.473 * * [misc]simplify: iters left: 3 (86 enodes) 1548147998.493 * * [misc]simplify: iters left: 2 (128 enodes) 1548147998.526 * * [misc]simplify: iters left: 1 (183 enodes) 1548147998.575 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147998.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147998.576 * * * * [misc]progress: [ 107 / 302 ] simplifiying candidate # 1548147998.576 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548147998.576 * * [misc]simplify: iters left: 6 (12 enodes) 1548147998.580 * * [misc]simplify: iters left: 5 (21 enodes) 1548147998.588 * * [misc]simplify: iters left: 4 (33 enodes) 1548147998.599 * * [misc]simplify: iters left: 3 (56 enodes) 1548147998.615 * * [misc]simplify: iters left: 2 (119 enodes) 1548147998.660 * * [misc]simplify: iters left: 1 (173 enodes) 1548147998.686 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1548147998.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147998.687 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147998.687 * * [misc]simplify: iters left: 6 (17 enodes) 1548147998.692 * * [misc]simplify: iters left: 5 (28 enodes) 1548147998.700 * * [misc]simplify: iters left: 4 (50 enodes) 1548147998.713 * * [misc]simplify: iters left: 3 (85 enodes) 1548147998.735 * * [misc]simplify: iters left: 2 (127 enodes) 1548147998.768 * * [misc]simplify: iters left: 1 (181 enodes) 1548147998.814 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1548147998.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1548147998.815 * * * * [misc]progress: [ 108 / 302 ] simplifiying candidate # 1548147998.815 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147998.815 * * [misc]simplify: iters left: 6 (14 enodes) 1548147998.818 * * [misc]simplify: iters left: 5 (21 enodes) 1548147998.821 * * [misc]simplify: iters left: 4 (25 enodes) 1548147998.824 * * [misc]simplify: iters left: 3 (30 enodes) 1548147998.828 * * [misc]simplify: iters left: 2 (31 enodes) 1548147998.831 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147998.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147998.831 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147998.831 * * [misc]simplify: iters left: 6 (15 enodes) 1548147998.834 * * [misc]simplify: iters left: 5 (25 enodes) 1548147998.837 * * [misc]simplify: iters left: 4 (46 enodes) 1548147998.845 * * [misc]simplify: iters left: 3 (81 enodes) 1548147998.857 * * [misc]simplify: iters left: 2 (123 enodes) 1548147998.888 * * [misc]simplify: iters left: 1 (177 enodes) 1548147998.934 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147998.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147998.935 * * * * [misc]progress: [ 109 / 302 ] simplifiying candidate # 1548147998.935 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548147998.935 * * [misc]simplify: iters left: 6 (14 enodes) 1548147998.940 * * [misc]simplify: iters left: 5 (21 enodes) 1548147998.943 * * [misc]simplify: iters left: 4 (25 enodes) 1548147998.947 * * [misc]simplify: iters left: 3 (30 enodes) 1548147998.951 * * [misc]simplify: iters left: 2 (31 enodes) 1548147998.956 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147998.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548147998.957 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548147998.957 * * [misc]simplify: iters left: 6 (15 enodes) 1548147998.959 * * [misc]simplify: iters left: 5 (25 enodes) 1548147998.962 * * [misc]simplify: iters left: 4 (46 enodes) 1548147998.969 * * [misc]simplify: iters left: 3 (81 enodes) 1548147998.984 * * [misc]simplify: iters left: 2 (123 enodes) 1548147999.015 * * [misc]simplify: iters left: 1 (177 enodes) 1548147999.061 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147999.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147999.062 * * * * [misc]progress: [ 110 / 302 ] simplifiying candidate # 1548147999.062 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548147999.062 * * [misc]simplify: iters left: 6 (15 enodes) 1548147999.067 * * [misc]simplify: iters left: 5 (22 enodes) 1548147999.076 * * [misc]simplify: iters left: 4 (29 enodes) 1548147999.080 * * [misc]simplify: iters left: 3 (34 enodes) 1548147999.084 * * [misc]simplify: iters left: 2 (35 enodes) 1548147999.089 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147999.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548147999.089 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548147999.089 * * [misc]simplify: iters left: 6 (15 enodes) 1548147999.091 * * [misc]simplify: iters left: 5 (25 enodes) 1548147999.094 * * [misc]simplify: iters left: 4 (47 enodes) 1548147999.101 * * [misc]simplify: iters left: 3 (82 enodes) 1548147999.117 * * [misc]simplify: iters left: 2 (124 enodes) 1548147999.149 * * [misc]simplify: iters left: 1 (178 enodes) 1548147999.194 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147999.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147999.194 * * * * [misc]progress: [ 111 / 302 ] simplifiying candidate # 1548147999.194 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147999.194 * * [misc]simplify: iters left: 6 (18 enodes) 1548147999.198 * * [misc]simplify: iters left: 5 (28 enodes) 1548147999.202 * * [misc]simplify: iters left: 4 (37 enodes) 1548147999.207 * * [misc]simplify: iters left: 3 (49 enodes) 1548147999.214 * * [misc]simplify: iters left: 2 (58 enodes) 1548147999.226 * * [misc]simplify: iters left: 1 (60 enodes) 1548147999.239 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1548147999.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147999.239 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147999.239 * * [misc]simplify: iters left: 6 (18 enodes) 1548147999.242 * * [misc]simplify: iters left: 5 (29 enodes) 1548147999.246 * * [misc]simplify: iters left: 4 (51 enodes) 1548147999.253 * * [misc]simplify: iters left: 3 (86 enodes) 1548147999.263 * * [misc]simplify: iters left: 2 (128 enodes) 1548147999.297 * * [misc]simplify: iters left: 1 (183 enodes) 1548147999.325 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147999.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147999.325 * * * * [misc]progress: [ 112 / 302 ] simplifiying candidate # 1548147999.325 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147999.325 * * [misc]simplify: iters left: 6 (17 enodes) 1548147999.328 * * [misc]simplify: iters left: 5 (25 enodes) 1548147999.332 * * [misc]simplify: iters left: 4 (32 enodes) 1548147999.336 * * [misc]simplify: iters left: 3 (37 enodes) 1548147999.340 * * [misc]simplify: iters left: 2 (38 enodes) 1548147999.345 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1548147999.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147999.345 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147999.345 * * [misc]simplify: iters left: 6 (18 enodes) 1548147999.348 * * [misc]simplify: iters left: 5 (29 enodes) 1548147999.352 * * [misc]simplify: iters left: 4 (51 enodes) 1548147999.359 * * [misc]simplify: iters left: 3 (86 enodes) 1548147999.371 * * [misc]simplify: iters left: 2 (128 enodes) 1548147999.387 * * [misc]simplify: iters left: 1 (183 enodes) 1548147999.422 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147999.422 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147999.422 * * * * [misc]progress: [ 113 / 302 ] simplifiying candidate # 1548147999.422 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1548147999.422 * * [misc]simplify: iters left: 6 (11 enodes) 1548147999.424 * * [misc]simplify: iters left: 5 (18 enodes) 1548147999.427 * * [misc]simplify: iters left: 4 (26 enodes) 1548147999.430 * * [misc]simplify: iters left: 3 (31 enodes) 1548147999.435 * * [misc]simplify: iters left: 2 (32 enodes) 1548147999.437 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1548147999.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147999.438 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548147999.438 * * [misc]simplify: iters left: 6 (17 enodes) 1548147999.440 * * [misc]simplify: iters left: 5 (28 enodes) 1548147999.446 * * [misc]simplify: iters left: 4 (50 enodes) 1548147999.454 * * [misc]simplify: iters left: 3 (85 enodes) 1548147999.465 * * [misc]simplify: iters left: 2 (127 enodes) 1548147999.481 * * [misc]simplify: iters left: 1 (181 enodes) 1548147999.522 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1548147999.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1548147999.522 * * * * [misc]progress: [ 114 / 302 ] simplifiying candidate # 1548147999.523 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548147999.523 * * [misc]simplify: iters left: 6 (12 enodes) 1548147999.526 * * [misc]simplify: iters left: 5 (21 enodes) 1548147999.528 * * [misc]simplify: iters left: 4 (24 enodes) 1548147999.532 * * [misc]simplify: iters left: 3 (36 enodes) 1548147999.538 * * [misc]simplify: iters left: 2 (42 enodes) 1548147999.543 * * [misc]simplify: iters left: 1 (51 enodes) 1548147999.549 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147999.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147999.549 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147999.549 * * [misc]simplify: iters left: 6 (14 enodes) 1548147999.552 * * [misc]simplify: iters left: 5 (24 enodes) 1548147999.558 * * [misc]simplify: iters left: 4 (45 enodes) 1548147999.570 * * [misc]simplify: iters left: 3 (80 enodes) 1548147999.585 * * [misc]simplify: iters left: 2 (122 enodes) 1548147999.601 * * [misc]simplify: iters left: 1 (177 enodes) 1548147999.627 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548147999.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548147999.627 * * * * [misc]progress: [ 115 / 302 ] simplifiying candidate # 1548147999.627 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1548147999.627 * * [misc]simplify: iters left: 6 (12 enodes) 1548147999.629 * * [misc]simplify: iters left: 5 (21 enodes) 1548147999.632 * * [misc]simplify: iters left: 4 (24 enodes) 1548147999.636 * * [misc]simplify: iters left: 3 (36 enodes) 1548147999.641 * * [misc]simplify: iters left: 2 (42 enodes) 1548147999.645 * * [misc]simplify: iters left: 1 (51 enodes) 1548147999.651 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1548147999.651 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548147999.651 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548147999.651 * * [misc]simplify: iters left: 6 (14 enodes) 1548147999.653 * * [misc]simplify: iters left: 5 (24 enodes) 1548147999.657 * * [misc]simplify: iters left: 4 (45 enodes) 1548147999.663 * * [misc]simplify: iters left: 3 (80 enodes) 1548147999.673 * * [misc]simplify: iters left: 2 (122 enodes) 1548147999.699 * * [misc]simplify: iters left: 1 (177 enodes) 1548147999.742 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1548147999.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1548147999.742 * * * * [misc]progress: [ 116 / 302 ] simplifiying candidate # 1548147999.742 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548147999.742 * * [misc]simplify: iters left: 6 (14 enodes) 1548147999.745 * * [misc]simplify: iters left: 5 (23 enodes) 1548147999.748 * * [misc]simplify: iters left: 4 (29 enodes) 1548147999.753 * * [misc]simplify: iters left: 3 (41 enodes) 1548147999.758 * * [misc]simplify: iters left: 2 (47 enodes) 1548147999.764 * * [misc]simplify: iters left: 1 (57 enodes) 1548147999.770 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1548147999.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548147999.770 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548147999.770 * * [misc]simplify: iters left: 6 (14 enodes) 1548147999.773 * * [misc]simplify: iters left: 5 (24 enodes) 1548147999.780 * * [misc]simplify: iters left: 4 (46 enodes) 1548147999.792 * * [misc]simplify: iters left: 3 (81 enodes) 1548147999.815 * * [misc]simplify: iters left: 2 (123 enodes) 1548147999.845 * * [misc]simplify: iters left: 1 (178 enodes) 1548147999.892 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548147999.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548147999.892 * * * * [misc]progress: [ 117 / 302 ] simplifiying candidate # 1548147999.893 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548147999.893 * * [misc]simplify: iters left: 6 (17 enodes) 1548147999.898 * * [misc]simplify: iters left: 5 (29 enodes) 1548147999.906 * * [misc]simplify: iters left: 4 (37 enodes) 1548147999.917 * * [misc]simplify: iters left: 3 (55 enodes) 1548147999.924 * * [misc]simplify: iters left: 2 (74 enodes) 1548147999.936 * * [misc]simplify: iters left: 1 (95 enodes) 1548147999.964 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1548147999.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548147999.964 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548147999.964 * * [misc]simplify: iters left: 6 (17 enodes) 1548147999.969 * * [misc]simplify: iters left: 5 (28 enodes) 1548147999.977 * * [misc]simplify: iters left: 4 (50 enodes) 1548147999.990 * * [misc]simplify: iters left: 3 (85 enodes) 1548148000.011 * * [misc]simplify: iters left: 2 (127 enodes) 1548148000.042 * * [misc]simplify: iters left: 1 (181 enodes) 1548148000.091 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548148000.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548148000.091 * * * * [misc]progress: [ 118 / 302 ] simplifiying candidate # 1548148000.091 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.091 * * [misc]simplify: iters left: 6 (16 enodes) 1548148000.094 * * [misc]simplify: iters left: 5 (26 enodes) 1548148000.098 * * [misc]simplify: iters left: 4 (32 enodes) 1548148000.103 * * [misc]simplify: iters left: 3 (44 enodes) 1548148000.109 * * [misc]simplify: iters left: 2 (50 enodes) 1548148000.115 * * [misc]simplify: iters left: 1 (60 enodes) 1548148000.121 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148000.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148000.122 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.122 * * [misc]simplify: iters left: 6 (17 enodes) 1548148000.124 * * [misc]simplify: iters left: 5 (28 enodes) 1548148000.128 * * [misc]simplify: iters left: 4 (50 enodes) 1548148000.134 * * [misc]simplify: iters left: 3 (85 enodes) 1548148000.145 * * [misc]simplify: iters left: 2 (127 enodes) 1548148000.165 * * [misc]simplify: iters left: 1 (181 enodes) 1548148000.192 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1548148000.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1548148000.192 * * * * [misc]progress: [ 119 / 302 ] simplifiying candidate # 1548148000.192 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1548148000.192 * * [misc]simplify: iters left: 6 (8 enodes) 1548148000.195 * * [misc]simplify: iters left: 5 (13 enodes) 1548148000.199 * * [misc]simplify: iters left: 4 (14 enodes) 1548148000.202 * * [misc]simplify: iters left: 3 (17 enodes) 1548148000.206 * * [misc]simplify: iters left: 2 (18 enodes) 1548148000.210 * * [misc]simplify: iters left: 1 (20 enodes) 1548148000.213 * [exit]simplify: Simplified to (sqrt PI) 1548148000.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148000.214 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148000.214 * * [misc]simplify: iters left: 6 (16 enodes) 1548148000.219 * * [misc]simplify: iters left: 5 (27 enodes) 1548148000.226 * * [misc]simplify: iters left: 4 (49 enodes) 1548148000.239 * * [misc]simplify: iters left: 3 (84 enodes) 1548148000.262 * * [misc]simplify: iters left: 2 (126 enodes) 1548148000.294 * * [misc]simplify: iters left: 1 (181 enodes) 1548148000.343 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548148000.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548148000.343 * * * * [misc]progress: [ 120 / 302 ] simplifiying candidate # 1548148000.343 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1548148000.343 * * [misc]simplify: iters left: 6 (7 enodes) 1548148000.346 * * [misc]simplify: iters left: 5 (12 enodes) 1548148000.350 * * [misc]simplify: iters left: 4 (17 enodes) 1548148000.354 * * [misc]simplify: iters left: 3 (19 enodes) 1548148000.357 * [exit]simplify: Simplified to (sqrt PI) 1548148000.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148000.357 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148000.357 * * [misc]simplify: iters left: 6 (16 enodes) 1548148000.362 * * [misc]simplify: iters left: 5 (27 enodes) 1548148000.370 * * [misc]simplify: iters left: 4 (49 enodes) 1548148000.384 * * [misc]simplify: iters left: 3 (84 enodes) 1548148000.408 * * [misc]simplify: iters left: 2 (126 enodes) 1548148000.431 * * [misc]simplify: iters left: 1 (181 enodes) 1548148000.462 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1548148000.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1548148000.462 * * * * [misc]progress: [ 121 / 302 ] simplifiying candidate # 1548148000.463 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1548148000.463 * * [misc]simplify: iters left: 6 (8 enodes) 1548148000.466 * * [misc]simplify: iters left: 5 (11 enodes) 1548148000.469 * * [misc]simplify: iters left: 4 (12 enodes) 1548148000.473 * * [misc]simplify: iters left: 3 (15 enodes) 1548148000.478 * * [misc]simplify: iters left: 2 (16 enodes) 1548148000.482 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1548148000.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148000.482 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548148000.482 * * [misc]simplify: iters left: 6 (16 enodes) 1548148000.486 * * [misc]simplify: iters left: 5 (29 enodes) 1548148000.490 * * [misc]simplify: iters left: 4 (49 enodes) 1548148000.498 * * [misc]simplify: iters left: 3 (91 enodes) 1548148000.512 * * [misc]simplify: iters left: 2 (126 enodes) 1548148000.534 * * [misc]simplify: iters left: 1 (183 enodes) 1548148000.562 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1548148000.562 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1548148000.562 * * * * [misc]progress: [ 122 / 302 ] simplifiying candidate # 1548148000.563 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548148000.563 * * [misc]simplify: iters left: 6 (13 enodes) 1548148000.568 * * [misc]simplify: iters left: 5 (20 enodes) 1548148000.573 * * [misc]simplify: iters left: 4 (24 enodes) 1548148000.579 * * [misc]simplify: iters left: 3 (29 enodes) 1548148000.586 * * [misc]simplify: iters left: 2 (30 enodes) 1548148000.596 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1548148000.596 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1548148000.596 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1548148000.596 * * [misc]simplify: iters left: 6 (12 enodes) 1548148000.600 * * [misc]simplify: iters left: 5 (20 enodes) 1548148000.605 * * [misc]simplify: iters left: 4 (38 enodes) 1548148000.616 * * [misc]simplify: iters left: 3 (67 enodes) 1548148000.631 * * [misc]simplify: iters left: 2 (83 enodes) 1548148000.648 * * [misc]simplify: iters left: 1 (93 enodes) 1548148000.660 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1548148000.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1548148000.660 * * * * [misc]progress: [ 123 / 302 ] simplifiying candidate # 1548148000.660 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148000.661 * * [misc]simplify: iters left: 6 (19 enodes) 1548148000.663 * * [misc]simplify: iters left: 5 (32 enodes) 1548148000.667 * * [misc]simplify: iters left: 4 (50 enodes) 1548148000.674 * * [misc]simplify: iters left: 3 (69 enodes) 1548148000.683 * * [misc]simplify: iters left: 2 (111 enodes) 1548148000.705 * * [misc]simplify: iters left: 1 (149 enodes) 1548148000.722 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548148000.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148000.722 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.722 * * [misc]simplify: iters left: 6 (17 enodes) 1548148000.724 * * [misc]simplify: iters left: 5 (24 enodes) 1548148000.727 * * [misc]simplify: iters left: 4 (33 enodes) 1548148000.732 * * [misc]simplify: iters left: 3 (49 enodes) 1548148000.740 * * [misc]simplify: iters left: 2 (88 enodes) 1548148000.752 * * [misc]simplify: iters left: 1 (126 enodes) 1548148000.766 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.766 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148000.766 * * * * [misc]progress: [ 124 / 302 ] simplifiying candidate # 1548148000.766 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.766 * * [misc]simplify: iters left: 6 (18 enodes) 1548148000.769 * * [misc]simplify: iters left: 5 (27 enodes) 1548148000.772 * * [misc]simplify: iters left: 4 (38 enodes) 1548148000.784 * * [misc]simplify: iters left: 3 (55 enodes) 1548148000.800 * * [misc]simplify: iters left: 2 (94 enodes) 1548148000.824 * * [misc]simplify: iters left: 1 (132 enodes) 1548148000.852 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148000.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148000.852 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.853 * * [misc]simplify: iters left: 6 (17 enodes) 1548148000.858 * * [misc]simplify: iters left: 5 (24 enodes) 1548148000.864 * * [misc]simplify: iters left: 4 (33 enodes) 1548148000.873 * * [misc]simplify: iters left: 3 (49 enodes) 1548148000.885 * * [misc]simplify: iters left: 2 (88 enodes) 1548148000.897 * * [misc]simplify: iters left: 1 (126 enodes) 1548148000.912 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148000.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148000.912 * * * * [misc]progress: [ 125 / 302 ] simplifiying candidate # 1548148000.912 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548148000.912 * * [misc]simplify: iters left: 6 (19 enodes) 1548148000.915 * * [misc]simplify: iters left: 5 (33 enodes) 1548148000.920 * * [misc]simplify: iters left: 4 (57 enodes) 1548148000.928 * * [misc]simplify: iters left: 3 (114 enodes) 1548148000.955 * * [misc]simplify: iters left: 2 (204 enodes) 1548148001.022 * * [misc]simplify: iters left: 1 (271 enodes) 1548148001.099 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148001.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148001.099 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148001.099 * * [misc]simplify: iters left: 6 (18 enodes) 1548148001.104 * * [misc]simplify: iters left: 5 (28 enodes) 1548148001.111 * * [misc]simplify: iters left: 4 (38 enodes) 1548148001.121 * * [misc]simplify: iters left: 3 (56 enodes) 1548148001.131 * * [misc]simplify: iters left: 2 (95 enodes) 1548148001.142 * * [misc]simplify: iters left: 1 (133 enodes) 1548148001.161 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148001.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148001.161 * * * * [misc]progress: [ 126 / 302 ] simplifiying candidate # 1548148001.161 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548148001.161 * * [misc]simplify: iters left: 6 (19 enodes) 1548148001.164 * * [misc]simplify: iters left: 5 (33 enodes) 1548148001.169 * * [misc]simplify: iters left: 4 (57 enodes) 1548148001.179 * * [misc]simplify: iters left: 3 (114 enodes) 1548148001.198 * * [misc]simplify: iters left: 2 (204 enodes) 1548148001.249 * * [misc]simplify: iters left: 1 (271 enodes) 1548148001.297 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148001.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148001.298 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148001.298 * * [misc]simplify: iters left: 6 (18 enodes) 1548148001.303 * * [misc]simplify: iters left: 5 (28 enodes) 1548148001.311 * * [misc]simplify: iters left: 4 (38 enodes) 1548148001.321 * * [misc]simplify: iters left: 3 (56 enodes) 1548148001.336 * * [misc]simplify: iters left: 2 (95 enodes) 1548148001.360 * * [misc]simplify: iters left: 1 (133 enodes) 1548148001.376 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148001.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148001.376 * * * * [misc]progress: [ 127 / 302 ] simplifiying candidate # 1548148001.376 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548148001.376 * * [misc]simplify: iters left: 6 (18 enodes) 1548148001.379 * * [misc]simplify: iters left: 5 (30 enodes) 1548148001.383 * * [misc]simplify: iters left: 4 (54 enodes) 1548148001.392 * * [misc]simplify: iters left: 3 (111 enodes) 1548148001.427 * * [misc]simplify: iters left: 2 (203 enodes) 1548148001.491 * * [misc]simplify: iters left: 1 (272 enodes) 1548148001.572 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) 1548148001.572 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148001.572 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148001.572 * * [misc]simplify: iters left: 6 (15 enodes) 1548148001.577 * * [misc]simplify: iters left: 5 (23 enodes) 1548148001.584 * * [misc]simplify: iters left: 4 (35 enodes) 1548148001.593 * * [misc]simplify: iters left: 3 (53 enodes) 1548148001.604 * * [misc]simplify: iters left: 2 (92 enodes) 1548148001.616 * * [misc]simplify: iters left: 1 (130 enodes) 1548148001.630 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148001.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148001.630 * * * * [misc]progress: [ 128 / 302 ] simplifiying candidate # 1548148001.631 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148001.631 * * [misc]simplify: iters left: 6 (21 enodes) 1548148001.639 * * [misc]simplify: iters left: 5 (38 enodes) 1548148001.650 * * [misc]simplify: iters left: 4 (78 enodes) 1548148001.677 * * [misc]simplify: iters left: 3 (165 enodes) 1548148001.719 * * [misc]simplify: iters left: 2 (334 enodes) 1548148001.837 * * [misc]simplify: iters left: 1 (492 enodes) 1548148002.009 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148002.009 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148002.010 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148002.010 * * [misc]simplify: iters left: 6 (18 enodes) 1548148002.012 * * [misc]simplify: iters left: 5 (27 enodes) 1548148002.016 * * [misc]simplify: iters left: 4 (39 enodes) 1548148002.021 * * [misc]simplify: iters left: 3 (57 enodes) 1548148002.031 * * [misc]simplify: iters left: 2 (96 enodes) 1548148002.042 * * [misc]simplify: iters left: 1 (134 enodes) 1548148002.057 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548148002.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548148002.057 * * * * [misc]progress: [ 129 / 302 ] simplifiying candidate # 1548148002.057 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148002.057 * * [misc]simplify: iters left: 6 (20 enodes) 1548148002.060 * * [misc]simplify: iters left: 5 (33 enodes) 1548148002.065 * * [misc]simplify: iters left: 4 (57 enodes) 1548148002.073 * * [misc]simplify: iters left: 3 (114 enodes) 1548148002.092 * * [misc]simplify: iters left: 2 (206 enodes) 1548148002.158 * * [misc]simplify: iters left: 1 (273 enodes) 1548148002.210 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148002.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148002.210 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148002.210 * * [misc]simplify: iters left: 6 (18 enodes) 1548148002.215 * * [misc]simplify: iters left: 5 (27 enodes) 1548148002.219 * * [misc]simplify: iters left: 4 (39 enodes) 1548148002.224 * * [misc]simplify: iters left: 3 (57 enodes) 1548148002.232 * * [misc]simplify: iters left: 2 (96 enodes) 1548148002.244 * * [misc]simplify: iters left: 1 (134 enodes) 1548148002.259 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548148002.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548148002.259 * * * * [misc]progress: [ 130 / 302 ] simplifiying candidate # 1548148002.259 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548148002.259 * * [misc]simplify: iters left: 6 (17 enodes) 1548148002.264 * * [misc]simplify: iters left: 5 (31 enodes) 1548148002.273 * * [misc]simplify: iters left: 4 (58 enodes) 1548148002.289 * * [misc]simplify: iters left: 3 (98 enodes) 1548148002.321 * * [misc]simplify: iters left: 2 (208 enodes) 1548148002.381 * * [misc]simplify: iters left: 1 (309 enodes) 1548148002.420 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548148002.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148002.420 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148002.420 * * [misc]simplify: iters left: 6 (17 enodes) 1548148002.423 * * [misc]simplify: iters left: 5 (26 enodes) 1548148002.426 * * [misc]simplify: iters left: 4 (38 enodes) 1548148002.431 * * [misc]simplify: iters left: 3 (56 enodes) 1548148002.440 * * [misc]simplify: iters left: 2 (95 enodes) 1548148002.463 * * [misc]simplify: iters left: 1 (133 enodes) 1548148002.493 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148002.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548148002.494 * * * * [misc]progress: [ 131 / 302 ] simplifiying candidate # 1548148002.494 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548148002.494 * * [misc]simplify: iters left: 6 (18 enodes) 1548148002.500 * * [misc]simplify: iters left: 5 (30 enodes) 1548148002.508 * * [misc]simplify: iters left: 4 (46 enodes) 1548148002.520 * * [misc]simplify: iters left: 3 (74 enodes) 1548148002.539 * * [misc]simplify: iters left: 2 (125 enodes) 1548148002.571 * * [misc]simplify: iters left: 1 (169 enodes) 1548148002.599 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548148002.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148002.599 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148002.599 * * [misc]simplify: iters left: 6 (18 enodes) 1548148002.602 * * [misc]simplify: iters left: 5 (28 enodes) 1548148002.605 * * [misc]simplify: iters left: 4 (38 enodes) 1548148002.611 * * [misc]simplify: iters left: 3 (56 enodes) 1548148002.619 * * [misc]simplify: iters left: 2 (95 enodes) 1548148002.637 * * [misc]simplify: iters left: 1 (133 enodes) 1548148002.666 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148002.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148002.666 * * * * [misc]progress: [ 132 / 302 ] simplifiying candidate # 1548148002.666 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548148002.666 * * [misc]simplify: iters left: 6 (18 enodes) 1548148002.672 * * [misc]simplify: iters left: 5 (30 enodes) 1548148002.679 * * [misc]simplify: iters left: 4 (46 enodes) 1548148002.692 * * [misc]simplify: iters left: 3 (74 enodes) 1548148002.712 * * [misc]simplify: iters left: 2 (125 enodes) 1548148002.747 * * [misc]simplify: iters left: 1 (169 enodes) 1548148002.783 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548148002.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148002.783 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148002.783 * * [misc]simplify: iters left: 6 (18 enodes) 1548148002.786 * * [misc]simplify: iters left: 5 (28 enodes) 1548148002.789 * * [misc]simplify: iters left: 4 (38 enodes) 1548148002.794 * * [misc]simplify: iters left: 3 (56 enodes) 1548148002.802 * * [misc]simplify: iters left: 2 (95 enodes) 1548148002.814 * * [misc]simplify: iters left: 1 (133 enodes) 1548148002.843 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148002.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148002.843 * * * * [misc]progress: [ 133 / 302 ] simplifiying candidate # 1548148002.845 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548148002.845 * * [misc]simplify: iters left: 6 (17 enodes) 1548148002.850 * * [misc]simplify: iters left: 5 (27 enodes) 1548148002.855 * * [misc]simplify: iters left: 4 (43 enodes) 1548148002.861 * * [misc]simplify: iters left: 3 (71 enodes) 1548148002.871 * * [misc]simplify: iters left: 2 (122 enodes) 1548148002.888 * * [misc]simplify: iters left: 1 (166 enodes) 1548148002.924 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148002.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148002.924 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148002.924 * * [misc]simplify: iters left: 6 (15 enodes) 1548148002.929 * * [misc]simplify: iters left: 5 (23 enodes) 1548148002.935 * * [misc]simplify: iters left: 4 (35 enodes) 1548148002.944 * * [misc]simplify: iters left: 3 (53 enodes) 1548148002.960 * * [misc]simplify: iters left: 2 (92 enodes) 1548148002.981 * * [misc]simplify: iters left: 1 (130 enodes) 1548148002.994 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148002.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148002.995 * * * * [misc]progress: [ 134 / 302 ] simplifiying candidate # 1548148002.995 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148002.995 * * [misc]simplify: iters left: 6 (20 enodes) 1548148002.998 * * [misc]simplify: iters left: 5 (33 enodes) 1548148003.002 * * [misc]simplify: iters left: 4 (53 enodes) 1548148003.011 * * [misc]simplify: iters left: 3 (95 enodes) 1548148003.032 * * [misc]simplify: iters left: 2 (173 enodes) 1548148003.068 * * [misc]simplify: iters left: 1 (242 enodes) 1548148003.129 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1548148003.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148003.130 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148003.130 * * [misc]simplify: iters left: 6 (18 enodes) 1548148003.135 * * [misc]simplify: iters left: 5 (27 enodes) 1548148003.142 * * [misc]simplify: iters left: 4 (39 enodes) 1548148003.152 * * [misc]simplify: iters left: 3 (57 enodes) 1548148003.171 * * [misc]simplify: iters left: 2 (96 enodes) 1548148003.195 * * [misc]simplify: iters left: 1 (134 enodes) 1548148003.216 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548148003.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548148003.216 * * * * [misc]progress: [ 135 / 302 ] simplifiying candidate # 1548148003.216 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148003.217 * * [misc]simplify: iters left: 6 (19 enodes) 1548148003.219 * * [misc]simplify: iters left: 5 (30 enodes) 1548148003.224 * * [misc]simplify: iters left: 4 (46 enodes) 1548148003.230 * * [misc]simplify: iters left: 3 (74 enodes) 1548148003.244 * * [misc]simplify: iters left: 2 (125 enodes) 1548148003.275 * * [misc]simplify: iters left: 1 (169 enodes) 1548148003.312 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1548148003.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148003.313 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148003.313 * * [misc]simplify: iters left: 6 (18 enodes) 1548148003.315 * * [misc]simplify: iters left: 5 (27 enodes) 1548148003.319 * * [misc]simplify: iters left: 4 (39 enodes) 1548148003.325 * * [misc]simplify: iters left: 3 (57 enodes) 1548148003.332 * * [misc]simplify: iters left: 2 (96 enodes) 1548148003.351 * * [misc]simplify: iters left: 1 (134 enodes) 1548148003.380 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548148003.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548148003.380 * * * * [misc]progress: [ 136 / 302 ] simplifiying candidate # 1548148003.380 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1548148003.380 * * [misc]simplify: iters left: 6 (16 enodes) 1548148003.385 * * [misc]simplify: iters left: 5 (28 enodes) 1548148003.393 * * [misc]simplify: iters left: 4 (45 enodes) 1548148003.407 * * [misc]simplify: iters left: 3 (72 enodes) 1548148003.424 * * [misc]simplify: iters left: 2 (111 enodes) 1548148003.449 * * [misc]simplify: iters left: 1 (153 enodes) 1548148003.470 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1548148003.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148003.471 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148003.471 * * [misc]simplify: iters left: 6 (17 enodes) 1548148003.474 * * [misc]simplify: iters left: 5 (26 enodes) 1548148003.477 * * [misc]simplify: iters left: 4 (38 enodes) 1548148003.482 * * [misc]simplify: iters left: 3 (56 enodes) 1548148003.489 * * [misc]simplify: iters left: 2 (95 enodes) 1548148003.511 * * [misc]simplify: iters left: 1 (133 enodes) 1548148003.540 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148003.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548148003.540 * * * * [misc]progress: [ 137 / 302 ] simplifiying candidate # 1548148003.540 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1548148003.540 * * [misc]simplify: iters left: 6 (17 enodes) 1548148003.545 * * [misc]simplify: iters left: 5 (31 enodes) 1548148003.553 * * [misc]simplify: iters left: 4 (47 enodes) 1548148003.567 * * [misc]simplify: iters left: 3 (78 enodes) 1548148003.588 * * [misc]simplify: iters left: 2 (139 enodes) 1548148003.623 * * [misc]simplify: iters left: 1 (250 enodes) 1548148003.677 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148003.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148003.677 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548148003.677 * * [misc]simplify: iters left: 6 (17 enodes) 1548148003.682 * * [misc]simplify: iters left: 5 (27 enodes) 1548148003.689 * * [misc]simplify: iters left: 4 (37 enodes) 1548148003.699 * * [misc]simplify: iters left: 3 (55 enodes) 1548148003.714 * * [misc]simplify: iters left: 2 (94 enodes) 1548148003.737 * * [misc]simplify: iters left: 1 (132 enodes) 1548148003.769 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548148003.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548148003.769 * * * * [misc]progress: [ 138 / 302 ] simplifiying candidate # 1548148003.770 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1548148003.770 * * [misc]simplify: iters left: 6 (17 enodes) 1548148003.775 * * [misc]simplify: iters left: 5 (31 enodes) 1548148003.783 * * [misc]simplify: iters left: 4 (47 enodes) 1548148003.790 * * [misc]simplify: iters left: 3 (78 enodes) 1548148003.801 * * [misc]simplify: iters left: 2 (139 enodes) 1548148003.825 * * [misc]simplify: iters left: 1 (250 enodes) 1548148003.906 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148003.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148003.907 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548148003.907 * * [misc]simplify: iters left: 6 (17 enodes) 1548148003.910 * * [misc]simplify: iters left: 5 (27 enodes) 1548148003.913 * * [misc]simplify: iters left: 4 (37 enodes) 1548148003.918 * * [misc]simplify: iters left: 3 (55 enodes) 1548148003.925 * * [misc]simplify: iters left: 2 (94 enodes) 1548148003.937 * * [misc]simplify: iters left: 1 (132 enodes) 1548148003.960 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548148003.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548148003.961 * * * * [misc]progress: [ 139 / 302 ] simplifiying candidate # 1548148003.961 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148003.961 * * [misc]simplify: iters left: 6 (16 enodes) 1548148003.966 * * [misc]simplify: iters left: 5 (28 enodes) 1548148003.974 * * [misc]simplify: iters left: 4 (44 enodes) 1548148003.983 * * [misc]simplify: iters left: 3 (75 enodes) 1548148004.002 * * [misc]simplify: iters left: 2 (136 enodes) 1548148004.039 * * [misc]simplify: iters left: 1 (233 enodes) 1548148004.114 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148004.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148004.114 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548148004.115 * * [misc]simplify: iters left: 6 (14 enodes) 1548148004.118 * * [misc]simplify: iters left: 5 (22 enodes) 1548148004.121 * * [misc]simplify: iters left: 4 (34 enodes) 1548148004.125 * * [misc]simplify: iters left: 3 (52 enodes) 1548148004.133 * * [misc]simplify: iters left: 2 (91 enodes) 1548148004.144 * * [misc]simplify: iters left: 1 (129 enodes) 1548148004.162 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548148004.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148004.162 * * * * [misc]progress: [ 140 / 302 ] simplifiying candidate # 1548148004.162 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148004.163 * * [misc]simplify: iters left: 6 (19 enodes) 1548148004.169 * * [misc]simplify: iters left: 5 (34 enodes) 1548148004.179 * * [misc]simplify: iters left: 4 (54 enodes) 1548148004.191 * * [misc]simplify: iters left: 3 (97 enodes) 1548148004.207 * * [misc]simplify: iters left: 2 (204 enodes) 1548148004.266 * * [misc]simplify: iters left: 1 (454 enodes) 1548148004.464 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148004.465 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148004.465 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148004.465 * * [misc]simplify: iters left: 6 (17 enodes) 1548148004.470 * * [misc]simplify: iters left: 5 (26 enodes) 1548148004.477 * * [misc]simplify: iters left: 4 (38 enodes) 1548148004.485 * * [misc]simplify: iters left: 3 (56 enodes) 1548148004.493 * * [misc]simplify: iters left: 2 (95 enodes) 1548148004.507 * * [misc]simplify: iters left: 1 (133 enodes) 1548148004.521 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148004.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148004.521 * * * * [misc]progress: [ 141 / 302 ] simplifiying candidate # 1548148004.521 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148004.522 * * [misc]simplify: iters left: 6 (18 enodes) 1548148004.524 * * [misc]simplify: iters left: 5 (31 enodes) 1548148004.528 * * [misc]simplify: iters left: 4 (47 enodes) 1548148004.535 * * [misc]simplify: iters left: 3 (78 enodes) 1548148004.550 * * [misc]simplify: iters left: 2 (139 enodes) 1548148004.589 * * [misc]simplify: iters left: 1 (250 enodes) 1548148004.667 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148004.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148004.668 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148004.668 * * [misc]simplify: iters left: 6 (17 enodes) 1548148004.673 * * [misc]simplify: iters left: 5 (26 enodes) 1548148004.680 * * [misc]simplify: iters left: 4 (38 enodes) 1548148004.690 * * [misc]simplify: iters left: 3 (56 enodes) 1548148004.705 * * [misc]simplify: iters left: 2 (95 enodes) 1548148004.727 * * [misc]simplify: iters left: 1 (133 enodes) 1548148004.758 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148004.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148004.759 * * * * [misc]progress: [ 142 / 302 ] simplifiying candidate # 1548148004.759 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1548148004.759 * * [misc]simplify: iters left: 6 (14 enodes) 1548148004.763 * * [misc]simplify: iters left: 5 (24 enodes) 1548148004.769 * * [misc]simplify: iters left: 4 (33 enodes) 1548148004.778 * * [misc]simplify: iters left: 3 (57 enodes) 1548148004.794 * * [misc]simplify: iters left: 2 (107 enodes) 1548148004.821 * * [misc]simplify: iters left: 1 (171 enodes) 1548148004.859 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148004.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148004.860 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148004.860 * * [misc]simplify: iters left: 6 (16 enodes) 1548148004.865 * * [misc]simplify: iters left: 5 (25 enodes) 1548148004.868 * * [misc]simplify: iters left: 4 (37 enodes) 1548148004.873 * * [misc]simplify: iters left: 3 (55 enodes) 1548148004.881 * * [misc]simplify: iters left: 2 (94 enodes) 1548148004.893 * * [misc]simplify: iters left: 1 (132 enodes) 1548148004.917 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148004.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148004.917 * * * * [misc]progress: [ 143 / 302 ] simplifiying candidate # 1548148004.917 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1548148004.917 * * [misc]simplify: iters left: 6 (13 enodes) 1548148004.921 * * [misc]simplify: iters left: 5 (23 enodes) 1548148004.928 * * [misc]simplify: iters left: 4 (38 enodes) 1548148004.937 * * [misc]simplify: iters left: 3 (56 enodes) 1548148004.951 * * [misc]simplify: iters left: 2 (99 enodes) 1548148004.975 * * [misc]simplify: iters left: 1 (135 enodes) 1548148005.004 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148005.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148005.004 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148005.005 * * [misc]simplify: iters left: 6 (16 enodes) 1548148005.009 * * [misc]simplify: iters left: 5 (25 enodes) 1548148005.016 * * [misc]simplify: iters left: 4 (37 enodes) 1548148005.027 * * [misc]simplify: iters left: 3 (55 enodes) 1548148005.041 * * [misc]simplify: iters left: 2 (94 enodes) 1548148005.064 * * [misc]simplify: iters left: 1 (132 enodes) 1548148005.092 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148005.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148005.093 * * * * [misc]progress: [ 144 / 302 ] simplifiying candidate # 1548148005.093 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1548148005.093 * * [misc]simplify: iters left: 6 (13 enodes) 1548148005.097 * * [misc]simplify: iters left: 5 (21 enodes) 1548148005.103 * * [misc]simplify: iters left: 4 (32 enodes) 1548148005.112 * * [misc]simplify: iters left: 3 (49 enodes) 1548148005.125 * * [misc]simplify: iters left: 2 (88 enodes) 1548148005.144 * * [misc]simplify: iters left: 1 (126 enodes) 1548148005.157 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148005.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148005.157 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548148005.157 * * [misc]simplify: iters left: 6 (16 enodes) 1548148005.159 * * [misc]simplify: iters left: 5 (27 enodes) 1548148005.163 * * [misc]simplify: iters left: 4 (39 enodes) 1548148005.168 * * [misc]simplify: iters left: 3 (65 enodes) 1548148005.185 * * [misc]simplify: iters left: 2 (105 enodes) 1548148005.197 * * [misc]simplify: iters left: 1 (146 enodes) 1548148005.212 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148005.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1548148005.212 * * * * [misc]progress: [ 145 / 302 ] simplifiying candidate # 1548148005.212 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548148005.212 * * [misc]simplify: iters left: 6 (17 enodes) 1548148005.217 * * [misc]simplify: iters left: 5 (29 enodes) 1548148005.228 * * [misc]simplify: iters left: 4 (45 enodes) 1548148005.241 * * [misc]simplify: iters left: 3 (73 enodes) 1548148005.260 * * [misc]simplify: iters left: 2 (124 enodes) 1548148005.293 * * [misc]simplify: iters left: 1 (168 enodes) 1548148005.330 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148005.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1548148005.331 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1548148005.331 * * [misc]simplify: iters left: 6 (14 enodes) 1548148005.335 * * [misc]simplify: iters left: 5 (21 enodes) 1548148005.341 * * [misc]simplify: iters left: 4 (30 enodes) 1548148005.349 * * [misc]simplify: iters left: 3 (46 enodes) 1548148005.362 * * [misc]simplify: iters left: 2 (85 enodes) 1548148005.385 * * [misc]simplify: iters left: 1 (123 enodes) 1548148005.399 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1548148005.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1548148005.400 * * * * [misc]progress: [ 146 / 302 ] simplifiying candidate # 1548148005.400 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148005.400 * * [misc]simplify: iters left: 6 (18 enodes) 1548148005.402 * * [misc]simplify: iters left: 5 (27 enodes) 1548148005.406 * * [misc]simplify: iters left: 4 (36 enodes) 1548148005.411 * * [misc]simplify: iters left: 3 (52 enodes) 1548148005.418 * * [misc]simplify: iters left: 2 (91 enodes) 1548148005.436 * * [misc]simplify: iters left: 1 (129 enodes) 1548148005.450 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148005.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148005.450 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148005.450 * * [misc]simplify: iters left: 6 (17 enodes) 1548148005.452 * * [misc]simplify: iters left: 5 (24 enodes) 1548148005.457 * * [misc]simplify: iters left: 4 (33 enodes) 1548148005.462 * * [misc]simplify: iters left: 3 (49 enodes) 1548148005.469 * * [misc]simplify: iters left: 2 (88 enodes) 1548148005.480 * * [misc]simplify: iters left: 1 (126 enodes) 1548148005.498 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148005.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148005.498 * * * * [misc]progress: [ 147 / 302 ] simplifiying candidate # 1548148005.498 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148005.498 * * [misc]simplify: iters left: 6 (17 enodes) 1548148005.503 * * [misc]simplify: iters left: 5 (24 enodes) 1548148005.509 * * [misc]simplify: iters left: 4 (33 enodes) 1548148005.517 * * [misc]simplify: iters left: 3 (49 enodes) 1548148005.524 * * [misc]simplify: iters left: 2 (88 enodes) 1548148005.536 * * [misc]simplify: iters left: 1 (126 enodes) 1548148005.551 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148005.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148005.552 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148005.552 * * [misc]simplify: iters left: 6 (17 enodes) 1548148005.554 * * [misc]simplify: iters left: 5 (24 enodes) 1548148005.557 * * [misc]simplify: iters left: 4 (33 enodes) 1548148005.562 * * [misc]simplify: iters left: 3 (49 enodes) 1548148005.568 * * [misc]simplify: iters left: 2 (88 enodes) 1548148005.587 * * [misc]simplify: iters left: 1 (126 enodes) 1548148005.607 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148005.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148005.607 * * * * [misc]progress: [ 148 / 302 ] simplifiying candidate # 1548148005.607 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548148005.607 * * [misc]simplify: iters left: 6 (18 enodes) 1548148005.610 * * [misc]simplify: iters left: 5 (30 enodes) 1548148005.614 * * [misc]simplify: iters left: 4 (46 enodes) 1548148005.620 * * [misc]simplify: iters left: 3 (74 enodes) 1548148005.632 * * [misc]simplify: iters left: 2 (118 enodes) 1548148005.648 * * [misc]simplify: iters left: 1 (163 enodes) 1548148005.665 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1548148005.665 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148005.665 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148005.666 * * [misc]simplify: iters left: 6 (18 enodes) 1548148005.668 * * [misc]simplify: iters left: 5 (28 enodes) 1548148005.671 * * [misc]simplify: iters left: 4 (38 enodes) 1548148005.677 * * [misc]simplify: iters left: 3 (56 enodes) 1548148005.684 * * [misc]simplify: iters left: 2 (95 enodes) 1548148005.696 * * [misc]simplify: iters left: 1 (133 enodes) 1548148005.718 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148005.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148005.718 * * * * [misc]progress: [ 149 / 302 ] simplifiying candidate # 1548148005.718 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548148005.718 * * [misc]simplify: iters left: 6 (18 enodes) 1548148005.721 * * [misc]simplify: iters left: 5 (30 enodes) 1548148005.725 * * [misc]simplify: iters left: 4 (46 enodes) 1548148005.731 * * [misc]simplify: iters left: 3 (74 enodes) 1548148005.742 * * [misc]simplify: iters left: 2 (118 enodes) 1548148005.764 * * [misc]simplify: iters left: 1 (163 enodes) 1548148005.782 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1548148005.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148005.782 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148005.782 * * [misc]simplify: iters left: 6 (18 enodes) 1548148005.784 * * [misc]simplify: iters left: 5 (28 enodes) 1548148005.790 * * [misc]simplify: iters left: 4 (38 enodes) 1548148005.795 * * [misc]simplify: iters left: 3 (56 enodes) 1548148005.804 * * [misc]simplify: iters left: 2 (95 enodes) 1548148005.827 * * [misc]simplify: iters left: 1 (133 enodes) 1548148005.853 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148005.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148005.853 * * * * [misc]progress: [ 150 / 302 ] simplifiying candidate # 1548148005.853 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548148005.853 * * [misc]simplify: iters left: 6 (17 enodes) 1548148005.858 * * [misc]simplify: iters left: 5 (27 enodes) 1548148005.865 * * [misc]simplify: iters left: 4 (43 enodes) 1548148005.878 * * [misc]simplify: iters left: 3 (71 enodes) 1548148005.897 * * [misc]simplify: iters left: 2 (115 enodes) 1548148005.927 * * [misc]simplify: iters left: 1 (160 enodes) 1548148005.962 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548148005.962 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148005.963 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148005.963 * * [misc]simplify: iters left: 6 (15 enodes) 1548148005.967 * * [misc]simplify: iters left: 5 (23 enodes) 1548148005.973 * * [misc]simplify: iters left: 4 (35 enodes) 1548148005.983 * * [misc]simplify: iters left: 3 (53 enodes) 1548148005.997 * * [misc]simplify: iters left: 2 (92 enodes) 1548148006.019 * * [misc]simplify: iters left: 1 (130 enodes) 1548148006.047 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148006.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148006.047 * * * * [misc]progress: [ 151 / 302 ] simplifiying candidate # 1548148006.047 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148006.047 * * [misc]simplify: iters left: 6 (20 enodes) 1548148006.051 * * [misc]simplify: iters left: 5 (35 enodes) 1548148006.057 * * [misc]simplify: iters left: 4 (62 enodes) 1548148006.066 * * [misc]simplify: iters left: 3 (103 enodes) 1548148006.086 * * [misc]simplify: iters left: 2 (174 enodes) 1548148006.134 * * [misc]simplify: iters left: 1 (236 enodes) 1548148006.176 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148006.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148006.177 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148006.177 * * [misc]simplify: iters left: 6 (18 enodes) 1548148006.179 * * [misc]simplify: iters left: 5 (27 enodes) 1548148006.185 * * [misc]simplify: iters left: 4 (39 enodes) 1548148006.194 * * [misc]simplify: iters left: 3 (57 enodes) 1548148006.201 * * [misc]simplify: iters left: 2 (96 enodes) 1548148006.213 * * [misc]simplify: iters left: 1 (134 enodes) 1548148006.235 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548148006.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548148006.236 * * * * [misc]progress: [ 152 / 302 ] simplifiying candidate # 1548148006.236 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148006.236 * * [misc]simplify: iters left: 6 (19 enodes) 1548148006.242 * * [misc]simplify: iters left: 5 (30 enodes) 1548148006.250 * * [misc]simplify: iters left: 4 (46 enodes) 1548148006.265 * * [misc]simplify: iters left: 3 (74 enodes) 1548148006.285 * * [misc]simplify: iters left: 2 (118 enodes) 1548148006.313 * * [misc]simplify: iters left: 1 (163 enodes) 1548148006.348 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148006.348 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148006.348 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148006.348 * * [misc]simplify: iters left: 6 (18 enodes) 1548148006.353 * * [misc]simplify: iters left: 5 (27 enodes) 1548148006.360 * * [misc]simplify: iters left: 4 (39 enodes) 1548148006.370 * * [misc]simplify: iters left: 3 (57 enodes) 1548148006.385 * * [misc]simplify: iters left: 2 (96 enodes) 1548148006.409 * * [misc]simplify: iters left: 1 (134 enodes) 1548148006.437 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1548148006.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1548148006.437 * * * * [misc]progress: [ 153 / 302 ] simplifiying candidate # 1548148006.437 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548148006.437 * * [misc]simplify: iters left: 6 (16 enodes) 1548148006.442 * * [misc]simplify: iters left: 5 (28 enodes) 1548148006.450 * * [misc]simplify: iters left: 4 (48 enodes) 1548148006.462 * * [misc]simplify: iters left: 3 (85 enodes) 1548148006.475 * * [misc]simplify: iters left: 2 (188 enodes) 1548148006.529 * * [misc]simplify: iters left: 1 (284 enodes) 1548148006.579 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548148006.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148006.579 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148006.579 * * [misc]simplify: iters left: 6 (17 enodes) 1548148006.584 * * [misc]simplify: iters left: 5 (26 enodes) 1548148006.591 * * [misc]simplify: iters left: 4 (38 enodes) 1548148006.601 * * [misc]simplify: iters left: 3 (56 enodes) 1548148006.615 * * [misc]simplify: iters left: 2 (95 enodes) 1548148006.641 * * [misc]simplify: iters left: 1 (133 enodes) 1548148006.668 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148006.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548148006.668 * * * * [misc]progress: [ 154 / 302 ] simplifiying candidate # 1548148006.669 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548148006.669 * * [misc]simplify: iters left: 6 (17 enodes) 1548148006.673 * * [misc]simplify: iters left: 5 (27 enodes) 1548148006.676 * * [misc]simplify: iters left: 4 (39 enodes) 1548148006.681 * * [misc]simplify: iters left: 3 (57 enodes) 1548148006.689 * * [misc]simplify: iters left: 2 (96 enodes) 1548148006.702 * * [misc]simplify: iters left: 1 (134 enodes) 1548148006.721 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548148006.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148006.722 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148006.722 * * [misc]simplify: iters left: 6 (18 enodes) 1548148006.727 * * [misc]simplify: iters left: 5 (28 enodes) 1548148006.735 * * [misc]simplify: iters left: 4 (38 enodes) 1548148006.747 * * [misc]simplify: iters left: 3 (56 enodes) 1548148006.761 * * [misc]simplify: iters left: 2 (95 enodes) 1548148006.786 * * [misc]simplify: iters left: 1 (133 enodes) 1548148006.814 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148006.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148006.814 * * * * [misc]progress: [ 155 / 302 ] simplifiying candidate # 1548148006.814 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548148006.815 * * [misc]simplify: iters left: 6 (17 enodes) 1548148006.819 * * [misc]simplify: iters left: 5 (27 enodes) 1548148006.826 * * [misc]simplify: iters left: 4 (39 enodes) 1548148006.837 * * [misc]simplify: iters left: 3 (57 enodes) 1548148006.852 * * [misc]simplify: iters left: 2 (96 enodes) 1548148006.877 * * [misc]simplify: iters left: 1 (134 enodes) 1548148006.907 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1548148006.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148006.908 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148006.908 * * [misc]simplify: iters left: 6 (18 enodes) 1548148006.913 * * [misc]simplify: iters left: 5 (28 enodes) 1548148006.920 * * [misc]simplify: iters left: 4 (38 enodes) 1548148006.930 * * [misc]simplify: iters left: 3 (56 enodes) 1548148006.939 * * [misc]simplify: iters left: 2 (95 enodes) 1548148006.951 * * [misc]simplify: iters left: 1 (133 enodes) 1548148006.965 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1548148006.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1548148006.966 * * * * [misc]progress: [ 156 / 302 ] simplifiying candidate # 1548148006.966 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548148006.966 * * [misc]simplify: iters left: 6 (16 enodes) 1548148006.968 * * [misc]simplify: iters left: 5 (24 enodes) 1548148006.975 * * [misc]simplify: iters left: 4 (36 enodes) 1548148006.984 * * [misc]simplify: iters left: 3 (54 enodes) 1548148006.993 * * [misc]simplify: iters left: 2 (93 enodes) 1548148007.005 * * [misc]simplify: iters left: 1 (131 enodes) 1548148007.023 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548148007.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148007.024 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148007.024 * * [misc]simplify: iters left: 6 (15 enodes) 1548148007.028 * * [misc]simplify: iters left: 5 (23 enodes) 1548148007.034 * * [misc]simplify: iters left: 4 (35 enodes) 1548148007.043 * * [misc]simplify: iters left: 3 (53 enodes) 1548148007.057 * * [misc]simplify: iters left: 2 (92 enodes) 1548148007.069 * * [misc]simplify: iters left: 1 (130 enodes) 1548148007.085 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148007.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148007.085 * * * * [misc]progress: [ 157 / 302 ] simplifiying candidate # 1548148007.085 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148007.085 * * [misc]simplify: iters left: 6 (19 enodes) 1548148007.088 * * [misc]simplify: iters left: 5 (30 enodes) 1548148007.096 * * [misc]simplify: iters left: 4 (44 enodes) 1548148007.109 * * [misc]simplify: iters left: 3 (69 enodes) 1548148007.124 * * [misc]simplify: iters left: 2 (116 enodes) 1548148007.138 * * [misc]simplify: iters left: 1 (156 enodes) 1548148007.156 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148007.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148007.157 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148007.157 * * [misc]simplify: iters left: 6 (18 enodes) 1548148007.159 * * [misc]simplify: iters left: 5 (27 enodes) 1548148007.163 * * [misc]simplify: iters left: 4 (39 enodes) 1548148007.168 * * [misc]simplify: iters left: 3 (57 enodes) 1548148007.177 * * [misc]simplify: iters left: 2 (96 enodes) 1548148007.191 * * [misc]simplify: iters left: 1 (134 enodes) 1548148007.219 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548148007.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548148007.219 * * * * [misc]progress: [ 158 / 302 ] simplifiying candidate # 1548148007.220 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148007.220 * * [misc]simplify: iters left: 6 (18 enodes) 1548148007.225 * * [misc]simplify: iters left: 5 (27 enodes) 1548148007.232 * * [misc]simplify: iters left: 4 (39 enodes) 1548148007.243 * * [misc]simplify: iters left: 3 (57 enodes) 1548148007.258 * * [misc]simplify: iters left: 2 (96 enodes) 1548148007.281 * * [misc]simplify: iters left: 1 (134 enodes) 1548148007.312 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548148007.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148007.313 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148007.313 * * [misc]simplify: iters left: 6 (18 enodes) 1548148007.318 * * [misc]simplify: iters left: 5 (27 enodes) 1548148007.323 * * [misc]simplify: iters left: 4 (39 enodes) 1548148007.329 * * [misc]simplify: iters left: 3 (57 enodes) 1548148007.337 * * [misc]simplify: iters left: 2 (96 enodes) 1548148007.350 * * [misc]simplify: iters left: 1 (134 enodes) 1548148007.376 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1548148007.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1548148007.376 * * * * [misc]progress: [ 159 / 302 ] simplifiying candidate # 1548148007.377 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1548148007.377 * * [misc]simplify: iters left: 6 (15 enodes) 1548148007.381 * * [misc]simplify: iters left: 5 (25 enodes) 1548148007.388 * * [misc]simplify: iters left: 4 (41 enodes) 1548148007.398 * * [misc]simplify: iters left: 3 (61 enodes) 1548148007.409 * * [misc]simplify: iters left: 2 (99 enodes) 1548148007.423 * * [misc]simplify: iters left: 1 (135 enodes) 1548148007.437 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548148007.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148007.437 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148007.437 * * [misc]simplify: iters left: 6 (17 enodes) 1548148007.439 * * [misc]simplify: iters left: 5 (26 enodes) 1548148007.443 * * [misc]simplify: iters left: 4 (38 enodes) 1548148007.448 * * [misc]simplify: iters left: 3 (56 enodes) 1548148007.455 * * [misc]simplify: iters left: 2 (95 enodes) 1548148007.478 * * [misc]simplify: iters left: 1 (133 enodes) 1548148007.500 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148007.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1548148007.500 * * * * [misc]progress: [ 160 / 302 ] simplifiying candidate # 1548148007.500 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548148007.500 * * [misc]simplify: iters left: 6 (16 enodes) 1548148007.503 * * [misc]simplify: iters left: 5 (28 enodes) 1548148007.508 * * [misc]simplify: iters left: 4 (40 enodes) 1548148007.513 * * [misc]simplify: iters left: 3 (66 enodes) 1548148007.522 * * [misc]simplify: iters left: 2 (106 enodes) 1548148007.534 * * [misc]simplify: iters left: 1 (147 enodes) 1548148007.557 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1548148007.557 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148007.557 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548148007.557 * * [misc]simplify: iters left: 6 (17 enodes) 1548148007.562 * * [misc]simplify: iters left: 5 (27 enodes) 1548148007.569 * * [misc]simplify: iters left: 4 (37 enodes) 1548148007.579 * * [misc]simplify: iters left: 3 (55 enodes) 1548148007.593 * * [misc]simplify: iters left: 2 (94 enodes) 1548148007.621 * * [misc]simplify: iters left: 1 (132 enodes) 1548148007.649 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548148007.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548148007.649 * * * * [misc]progress: [ 161 / 302 ] simplifiying candidate # 1548148007.649 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1548148007.649 * * [misc]simplify: iters left: 6 (16 enodes) 1548148007.654 * * [misc]simplify: iters left: 5 (28 enodes) 1548148007.659 * * [misc]simplify: iters left: 4 (40 enodes) 1548148007.664 * * [misc]simplify: iters left: 3 (66 enodes) 1548148007.673 * * [misc]simplify: iters left: 2 (106 enodes) 1548148007.685 * * [misc]simplify: iters left: 1 (147 enodes) 1548148007.715 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1548148007.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148007.715 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548148007.715 * * [misc]simplify: iters left: 6 (17 enodes) 1548148007.720 * * [misc]simplify: iters left: 5 (27 enodes) 1548148007.730 * * [misc]simplify: iters left: 4 (37 enodes) 1548148007.740 * * [misc]simplify: iters left: 3 (55 enodes) 1548148007.755 * * [misc]simplify: iters left: 2 (94 enodes) 1548148007.778 * * [misc]simplify: iters left: 1 (132 enodes) 1548148007.806 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1548148007.806 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548148007.806 * * * * [misc]progress: [ 162 / 302 ] simplifiying candidate # 1548148007.806 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148007.806 * * [misc]simplify: iters left: 6 (15 enodes) 1548148007.811 * * [misc]simplify: iters left: 5 (25 enodes) 1548148007.817 * * [misc]simplify: iters left: 4 (37 enodes) 1548148007.828 * * [misc]simplify: iters left: 3 (63 enodes) 1548148007.844 * * [misc]simplify: iters left: 2 (103 enodes) 1548148007.868 * * [misc]simplify: iters left: 1 (144 enodes) 1548148007.899 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1548148007.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148007.899 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548148007.900 * * [misc]simplify: iters left: 6 (14 enodes) 1548148007.904 * * [misc]simplify: iters left: 5 (22 enodes) 1548148007.907 * * [misc]simplify: iters left: 4 (34 enodes) 1548148007.911 * * [misc]simplify: iters left: 3 (52 enodes) 1548148007.918 * * [misc]simplify: iters left: 2 (91 enodes) 1548148007.930 * * [misc]simplify: iters left: 1 (129 enodes) 1548148007.949 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548148007.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148007.949 * * * * [misc]progress: [ 163 / 302 ] simplifiying candidate # 1548148007.950 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148007.950 * * [misc]simplify: iters left: 6 (18 enodes) 1548148007.955 * * [misc]simplify: iters left: 5 (31 enodes) 1548148007.963 * * [misc]simplify: iters left: 4 (45 enodes) 1548148007.976 * * [misc]simplify: iters left: 3 (75 enodes) 1548148007.998 * * [misc]simplify: iters left: 2 (120 enodes) 1548148008.017 * * [misc]simplify: iters left: 1 (161 enodes) 1548148008.036 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148008.036 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.036 * * [misc]simplify: iters left: 6 (17 enodes) 1548148008.038 * * [misc]simplify: iters left: 5 (26 enodes) 1548148008.042 * * [misc]simplify: iters left: 4 (38 enodes) 1548148008.047 * * [misc]simplify: iters left: 3 (56 enodes) 1548148008.055 * * [misc]simplify: iters left: 2 (95 enodes) 1548148008.068 * * [misc]simplify: iters left: 1 (133 enodes) 1548148008.083 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.083 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.083 * * * * [misc]progress: [ 164 / 302 ] simplifiying candidate # 1548148008.083 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.083 * * [misc]simplify: iters left: 6 (17 enodes) 1548148008.085 * * [misc]simplify: iters left: 5 (28 enodes) 1548148008.089 * * [misc]simplify: iters left: 4 (40 enodes) 1548148008.096 * * [misc]simplify: iters left: 3 (66 enodes) 1548148008.113 * * [misc]simplify: iters left: 2 (106 enodes) 1548148008.137 * * [misc]simplify: iters left: 1 (147 enodes) 1548148008.152 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548148008.152 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148008.152 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.152 * * [misc]simplify: iters left: 6 (17 enodes) 1548148008.155 * * [misc]simplify: iters left: 5 (26 enodes) 1548148008.159 * * [misc]simplify: iters left: 4 (38 enodes) 1548148008.165 * * [misc]simplify: iters left: 3 (56 enodes) 1548148008.176 * * [misc]simplify: iters left: 2 (95 enodes) 1548148008.200 * * [misc]simplify: iters left: 1 (133 enodes) 1548148008.228 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.228 * * * * [misc]progress: [ 165 / 302 ] simplifiying candidate # 1548148008.228 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1548148008.229 * * [misc]simplify: iters left: 6 (13 enodes) 1548148008.232 * * [misc]simplify: iters left: 5 (21 enodes) 1548148008.238 * * [misc]simplify: iters left: 4 (30 enodes) 1548148008.246 * * [misc]simplify: iters left: 3 (48 enodes) 1548148008.258 * * [misc]simplify: iters left: 2 (86 enodes) 1548148008.279 * * [misc]simplify: iters left: 1 (122 enodes) 1548148008.305 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148008.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.305 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.305 * * [misc]simplify: iters left: 6 (16 enodes) 1548148008.308 * * [misc]simplify: iters left: 5 (25 enodes) 1548148008.311 * * [misc]simplify: iters left: 4 (37 enodes) 1548148008.316 * * [misc]simplify: iters left: 3 (55 enodes) 1548148008.323 * * [misc]simplify: iters left: 2 (94 enodes) 1548148008.335 * * [misc]simplify: iters left: 1 (132 enodes) 1548148008.361 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.362 * * * * [misc]progress: [ 166 / 302 ] simplifiying candidate # 1548148008.362 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1548148008.362 * * [misc]simplify: iters left: 6 (12 enodes) 1548148008.365 * * [misc]simplify: iters left: 5 (20 enodes) 1548148008.370 * * [misc]simplify: iters left: 4 (31 enodes) 1548148008.374 * * [misc]simplify: iters left: 3 (47 enodes) 1548148008.380 * * [misc]simplify: iters left: 2 (85 enodes) 1548148008.395 * * [misc]simplify: iters left: 1 (121 enodes) 1548148008.418 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148008.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.418 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.418 * * [misc]simplify: iters left: 6 (16 enodes) 1548148008.420 * * [misc]simplify: iters left: 5 (25 enodes) 1548148008.424 * * [misc]simplify: iters left: 4 (37 enodes) 1548148008.429 * * [misc]simplify: iters left: 3 (55 enodes) 1548148008.436 * * [misc]simplify: iters left: 2 (94 enodes) 1548148008.448 * * [misc]simplify: iters left: 1 (132 enodes) 1548148008.462 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.462 * * * * [misc]progress: [ 167 / 302 ] simplifiying candidate # 1548148008.462 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1548148008.462 * * [misc]simplify: iters left: 6 (12 enodes) 1548148008.464 * * [misc]simplify: iters left: 5 (18 enodes) 1548148008.466 * * [misc]simplify: iters left: 4 (27 enodes) 1548148008.471 * * [misc]simplify: iters left: 3 (43 enodes) 1548148008.485 * * [misc]simplify: iters left: 2 (82 enodes) 1548148008.506 * * [misc]simplify: iters left: 1 (120 enodes) 1548148008.530 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1548148008.530 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.530 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548148008.531 * * [misc]simplify: iters left: 6 (16 enodes) 1548148008.535 * * [misc]simplify: iters left: 5 (27 enodes) 1548148008.542 * * [misc]simplify: iters left: 4 (39 enodes) 1548148008.553 * * [misc]simplify: iters left: 3 (65 enodes) 1548148008.570 * * [misc]simplify: iters left: 2 (105 enodes) 1548148008.594 * * [misc]simplify: iters left: 1 (146 enodes) 1548148008.626 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548148008.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1548148008.626 * * * * [misc]progress: [ 168 / 302 ] simplifiying candidate # 1548148008.626 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1548148008.626 * * [misc]simplify: iters left: 6 (16 enodes) 1548148008.631 * * [misc]simplify: iters left: 5 (26 enodes) 1548148008.638 * * [misc]simplify: iters left: 4 (38 enodes) 1548148008.644 * * [misc]simplify: iters left: 3 (56 enodes) 1548148008.652 * * [misc]simplify: iters left: 2 (95 enodes) 1548148008.663 * * [misc]simplify: iters left: 1 (133 enodes) 1548148008.677 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1548148008.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1548148008.677 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1548148008.677 * * [misc]simplify: iters left: 6 (14 enodes) 1548148008.679 * * [misc]simplify: iters left: 5 (21 enodes) 1548148008.682 * * [misc]simplify: iters left: 4 (30 enodes) 1548148008.686 * * [misc]simplify: iters left: 3 (46 enodes) 1548148008.695 * * [misc]simplify: iters left: 2 (85 enodes) 1548148008.712 * * [misc]simplify: iters left: 1 (123 enodes) 1548148008.725 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1548148008.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1548148008.725 * * * * [misc]progress: [ 169 / 302 ] simplifiying candidate # 1548148008.726 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148008.726 * * [misc]simplify: iters left: 6 (14 enodes) 1548148008.728 * * [misc]simplify: iters left: 5 (21 enodes) 1548148008.731 * * [misc]simplify: iters left: 4 (24 enodes) 1548148008.734 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148008.734 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.734 * * [misc]simplify: iters left: 6 (16 enodes) 1548148008.736 * * [misc]simplify: iters left: 5 (23 enodes) 1548148008.742 * * [misc]simplify: iters left: 4 (32 enodes) 1548148008.750 * * [misc]simplify: iters left: 3 (48 enodes) 1548148008.763 * * [misc]simplify: iters left: 2 (89 enodes) 1548148008.784 * * [misc]simplify: iters left: 1 (131 enodes) 1548148008.812 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148008.812 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548148008.812 * * * * [misc]progress: [ 170 / 302 ] simplifiying candidate # 1548148008.813 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.813 * * [misc]simplify: iters left: 6 (13 enodes) 1548148008.816 * * [misc]simplify: iters left: 5 (18 enodes) 1548148008.821 * * [misc]simplify: iters left: 4 (21 enodes) 1548148008.828 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148008.829 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148008.829 * * [misc]simplify: iters left: 6 (16 enodes) 1548148008.833 * * [misc]simplify: iters left: 5 (23 enodes) 1548148008.840 * * [misc]simplify: iters left: 4 (32 enodes) 1548148008.848 * * [misc]simplify: iters left: 3 (48 enodes) 1548148008.862 * * [misc]simplify: iters left: 2 (89 enodes) 1548148008.885 * * [misc]simplify: iters left: 1 (131 enodes) 1548148008.914 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148008.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1548148008.914 * * * * [misc]progress: [ 171 / 302 ] simplifiying candidate # 1548148008.915 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548148008.915 * * [misc]simplify: iters left: 6 (12 enodes) 1548148008.919 * * [misc]simplify: iters left: 5 (20 enodes) 1548148008.924 * * [misc]simplify: iters left: 4 (27 enodes) 1548148008.931 * * [misc]simplify: iters left: 3 (37 enodes) 1548148008.944 * * [misc]simplify: iters left: 2 (64 enodes) 1548148008.954 * * [misc]simplify: iters left: 1 (93 enodes) 1548148008.969 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548148008.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148008.969 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148008.969 * * [misc]simplify: iters left: 6 (17 enodes) 1548148008.972 * * [misc]simplify: iters left: 5 (27 enodes) 1548148008.975 * * [misc]simplify: iters left: 4 (37 enodes) 1548148008.980 * * [misc]simplify: iters left: 3 (55 enodes) 1548148008.988 * * [misc]simplify: iters left: 2 (100 enodes) 1548148009.013 * * [misc]simplify: iters left: 1 (150 enodes) 1548148009.050 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548148009.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548148009.050 * * * * [misc]progress: [ 172 / 302 ] simplifiying candidate # 1548148009.050 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1548148009.050 * * [misc]simplify: iters left: 6 (12 enodes) 1548148009.054 * * [misc]simplify: iters left: 5 (20 enodes) 1548148009.059 * * [misc]simplify: iters left: 4 (27 enodes) 1548148009.068 * * [misc]simplify: iters left: 3 (37 enodes) 1548148009.076 * * [misc]simplify: iters left: 2 (64 enodes) 1548148009.086 * * [misc]simplify: iters left: 1 (93 enodes) 1548148009.103 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548148009.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148009.103 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148009.103 * * [misc]simplify: iters left: 6 (17 enodes) 1548148009.108 * * [misc]simplify: iters left: 5 (27 enodes) 1548148009.116 * * [misc]simplify: iters left: 4 (37 enodes) 1548148009.125 * * [misc]simplify: iters left: 3 (55 enodes) 1548148009.141 * * [misc]simplify: iters left: 2 (100 enodes) 1548148009.165 * * [misc]simplify: iters left: 1 (150 enodes) 1548148009.190 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548148009.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548148009.190 * * * * [misc]progress: [ 173 / 302 ] simplifiying candidate # 1548148009.191 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1548148009.191 * * [misc]simplify: iters left: 6 (13 enodes) 1548148009.193 * * [misc]simplify: iters left: 5 (21 enodes) 1548148009.195 * * [misc]simplify: iters left: 4 (31 enodes) 1548148009.199 * * [misc]simplify: iters left: 3 (51 enodes) 1548148009.215 * * [misc]simplify: iters left: 2 (90 enodes) 1548148009.229 * * [misc]simplify: iters left: 1 (181 enodes) 1548148009.288 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548148009.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148009.289 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148009.289 * * [misc]simplify: iters left: 6 (14 enodes) 1548148009.291 * * [misc]simplify: iters left: 5 (22 enodes) 1548148009.293 * * [misc]simplify: iters left: 4 (34 enodes) 1548148009.298 * * [misc]simplify: iters left: 3 (52 enodes) 1548148009.305 * * [misc]simplify: iters left: 2 (97 enodes) 1548148009.326 * * [misc]simplify: iters left: 1 (148 enodes) 1548148009.366 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1548148009.366 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548148009.366 * * * * [misc]progress: [ 174 / 302 ] simplifiying candidate # 1548148009.366 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148009.366 * * [misc]simplify: iters left: 6 (16 enodes) 1548148009.371 * * [misc]simplify: iters left: 5 (29 enodes) 1548148009.376 * * [misc]simplify: iters left: 4 (50 enodes) 1548148009.382 * * [misc]simplify: iters left: 3 (70 enodes) 1548148009.394 * * [misc]simplify: iters left: 2 (169 enodes) 1548148009.473 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1548148009.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148009.474 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148009.474 * * [misc]simplify: iters left: 6 (17 enodes) 1548148009.476 * * [misc]simplify: iters left: 5 (26 enodes) 1548148009.480 * * [misc]simplify: iters left: 4 (38 enodes) 1548148009.485 * * [misc]simplify: iters left: 3 (56 enodes) 1548148009.492 * * [misc]simplify: iters left: 2 (101 enodes) 1548148009.509 * * [misc]simplify: iters left: 1 (151 enodes) 1548148009.539 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148009.539 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148009.539 * * * * [misc]progress: [ 175 / 302 ] simplifiying candidate # 1548148009.539 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148009.539 * * [misc]simplify: iters left: 6 (15 enodes) 1548148009.543 * * [misc]simplify: iters left: 5 (24 enodes) 1548148009.547 * * [misc]simplify: iters left: 4 (34 enodes) 1548148009.551 * * [misc]simplify: iters left: 3 (54 enodes) 1548148009.561 * * [misc]simplify: iters left: 2 (93 enodes) 1548148009.587 * * [misc]simplify: iters left: 1 (182 enodes) 1548148009.669 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1548148009.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148009.669 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148009.669 * * [misc]simplify: iters left: 6 (17 enodes) 1548148009.672 * * [misc]simplify: iters left: 5 (26 enodes) 1548148009.675 * * [misc]simplify: iters left: 4 (38 enodes) 1548148009.680 * * [misc]simplify: iters left: 3 (56 enodes) 1548148009.688 * * [misc]simplify: iters left: 2 (101 enodes) 1548148009.701 * * [misc]simplify: iters left: 1 (151 enodes) 1548148009.737 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148009.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148009.737 * * * * [misc]progress: [ 176 / 302 ] simplifiying candidate # 1548148009.737 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1548148009.737 * * [misc]simplify: iters left: 6 (7 enodes) 1548148009.738 * * [misc]simplify: iters left: 5 (13 enodes) 1548148009.741 * * [misc]simplify: iters left: 4 (22 enodes) 1548148009.743 * * [misc]simplify: iters left: 3 (24 enodes) 1548148009.745 * * [misc]simplify: iters left: 2 (29 enodes) 1548148009.749 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1548148009.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148009.750 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148009.750 * * [misc]simplify: iters left: 6 (16 enodes) 1548148009.752 * * [misc]simplify: iters left: 5 (25 enodes) 1548148009.756 * * [misc]simplify: iters left: 4 (37 enodes) 1548148009.761 * * [misc]simplify: iters left: 3 (55 enodes) 1548148009.769 * * [misc]simplify: iters left: 2 (100 enodes) 1548148009.786 * * [misc]simplify: iters left: 1 (150 enodes) 1548148009.810 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148009.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148009.810 * * * * [misc]progress: [ 177 / 302 ] simplifiying candidate # 1548148009.811 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548148009.811 * * [misc]simplify: iters left: 6 (11 enodes) 1548148009.812 * * [misc]simplify: iters left: 5 (17 enodes) 1548148009.814 * * [misc]simplify: iters left: 4 (20 enodes) 1548148009.816 * * [misc]simplify: iters left: 3 (22 enodes) 1548148009.819 * * [misc]simplify: iters left: 2 (34 enodes) 1548148009.824 * * [misc]simplify: iters left: 1 (42 enodes) 1548148009.828 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548148009.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148009.828 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148009.828 * * [misc]simplify: iters left: 6 (17 enodes) 1548148009.832 * * [misc]simplify: iters left: 5 (27 enodes) 1548148009.836 * * [misc]simplify: iters left: 4 (37 enodes) 1548148009.841 * * [misc]simplify: iters left: 3 (55 enodes) 1548148009.848 * * [misc]simplify: iters left: 2 (100 enodes) 1548148009.863 * * [misc]simplify: iters left: 1 (150 enodes) 1548148009.895 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548148009.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548148009.895 * * * * [misc]progress: [ 178 / 302 ] simplifiying candidate # 1548148009.895 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1548148009.895 * * [misc]simplify: iters left: 6 (11 enodes) 1548148009.897 * * [misc]simplify: iters left: 5 (17 enodes) 1548148009.899 * * [misc]simplify: iters left: 4 (20 enodes) 1548148009.901 * * [misc]simplify: iters left: 3 (22 enodes) 1548148009.904 * * [misc]simplify: iters left: 2 (34 enodes) 1548148009.909 * * [misc]simplify: iters left: 1 (42 enodes) 1548148009.913 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1548148009.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148009.913 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1548148009.913 * * [misc]simplify: iters left: 6 (17 enodes) 1548148009.916 * * [misc]simplify: iters left: 5 (27 enodes) 1548148009.920 * * [misc]simplify: iters left: 4 (37 enodes) 1548148009.925 * * [misc]simplify: iters left: 3 (55 enodes) 1548148009.933 * * [misc]simplify: iters left: 2 (100 enodes) 1548148009.945 * * [misc]simplify: iters left: 1 (150 enodes) 1548148009.976 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548148009.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548148009.976 * * * * [misc]progress: [ 179 / 302 ] simplifiying candidate # 1548148009.976 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1548148009.976 * * [misc]simplify: iters left: 6 (12 enodes) 1548148009.980 * * [misc]simplify: iters left: 5 (18 enodes) 1548148009.985 * * [misc]simplify: iters left: 4 (24 enodes) 1548148009.990 * * [misc]simplify: iters left: 3 (32 enodes) 1548148009.999 * * [misc]simplify: iters left: 2 (41 enodes) 1548148010.008 * * [misc]simplify: iters left: 1 (51 enodes) 1548148010.019 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1548148010.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148010.019 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1548148010.019 * * [misc]simplify: iters left: 6 (14 enodes) 1548148010.026 * * [misc]simplify: iters left: 5 (22 enodes) 1548148010.032 * * [misc]simplify: iters left: 4 (34 enodes) 1548148010.037 * * [misc]simplify: iters left: 3 (52 enodes) 1548148010.044 * * [misc]simplify: iters left: 2 (97 enodes) 1548148010.056 * * [misc]simplify: iters left: 1 (148 enodes) 1548148010.074 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1548148010.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548148010.074 * * * * [misc]progress: [ 180 / 302 ] simplifiying candidate # 1548148010.074 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.074 * * [misc]simplify: iters left: 6 (15 enodes) 1548148010.076 * * [misc]simplify: iters left: 5 (24 enodes) 1548148010.080 * * [misc]simplify: iters left: 4 (32 enodes) 1548148010.084 * * [misc]simplify: iters left: 3 (43 enodes) 1548148010.090 * * [misc]simplify: iters left: 2 (69 enodes) 1548148010.104 * * [misc]simplify: iters left: 1 (119 enodes) 1548148010.155 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148010.155 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.155 * * [misc]simplify: iters left: 6 (17 enodes) 1548148010.160 * * [misc]simplify: iters left: 5 (26 enodes) 1548148010.167 * * [misc]simplify: iters left: 4 (38 enodes) 1548148010.177 * * [misc]simplify: iters left: 3 (56 enodes) 1548148010.192 * * [misc]simplify: iters left: 2 (101 enodes) 1548148010.218 * * [misc]simplify: iters left: 1 (151 enodes) 1548148010.256 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.256 * * * * [misc]progress: [ 181 / 302 ] simplifiying candidate # 1548148010.256 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.256 * * [misc]simplify: iters left: 6 (14 enodes) 1548148010.258 * * [misc]simplify: iters left: 5 (21 enodes) 1548148010.261 * * [misc]simplify: iters left: 4 (27 enodes) 1548148010.264 * * [misc]simplify: iters left: 3 (35 enodes) 1548148010.269 * * [misc]simplify: iters left: 2 (43 enodes) 1548148010.274 * * [misc]simplify: iters left: 1 (56 enodes) 1548148010.280 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1548148010.280 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148010.280 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.281 * * [misc]simplify: iters left: 6 (17 enodes) 1548148010.286 * * [misc]simplify: iters left: 5 (26 enodes) 1548148010.293 * * [misc]simplify: iters left: 4 (38 enodes) 1548148010.302 * * [misc]simplify: iters left: 3 (56 enodes) 1548148010.311 * * [misc]simplify: iters left: 2 (101 enodes) 1548148010.324 * * [misc]simplify: iters left: 1 (151 enodes) 1548148010.352 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.352 * * * * [misc]progress: [ 182 / 302 ] simplifiying candidate # 1548148010.352 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1548148010.353 * * [misc]simplify: iters left: 6 (6 enodes) 1548148010.354 * * [misc]simplify: iters left: 5 (10 enodes) 1548148010.358 * * [misc]simplify: iters left: 4 (16 enodes) 1548148010.361 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1548148010.361 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.361 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.362 * * [misc]simplify: iters left: 6 (16 enodes) 1548148010.365 * * [misc]simplify: iters left: 5 (25 enodes) 1548148010.369 * * [misc]simplify: iters left: 4 (37 enodes) 1548148010.374 * * [misc]simplify: iters left: 3 (55 enodes) 1548148010.382 * * [misc]simplify: iters left: 2 (100 enodes) 1548148010.397 * * [misc]simplify: iters left: 1 (150 enodes) 1548148010.437 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.437 * * * * [misc]progress: [ 183 / 302 ] simplifiying candidate # 1548148010.437 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548148010.437 * * [misc]simplify: iters left: 6 (8 enodes) 1548148010.440 * * [misc]simplify: iters left: 5 (14 enodes) 1548148010.442 * * [misc]simplify: iters left: 4 (15 enodes) 1548148010.444 * * [misc]simplify: iters left: 3 (19 enodes) 1548148010.446 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548148010.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148010.446 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548148010.447 * * [misc]simplify: iters left: 6 (16 enodes) 1548148010.449 * * [misc]simplify: iters left: 5 (26 enodes) 1548148010.452 * * [misc]simplify: iters left: 4 (36 enodes) 1548148010.457 * * [misc]simplify: iters left: 3 (54 enodes) 1548148010.464 * * [misc]simplify: iters left: 2 (99 enodes) 1548148010.480 * * [misc]simplify: iters left: 1 (149 enodes) 1548148010.499 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548148010.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548148010.499 * * * * [misc]progress: [ 184 / 302 ] simplifiying candidate # 1548148010.499 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1548148010.499 * * [misc]simplify: iters left: 6 (8 enodes) 1548148010.501 * * [misc]simplify: iters left: 5 (14 enodes) 1548148010.504 * * [misc]simplify: iters left: 4 (15 enodes) 1548148010.508 * * [misc]simplify: iters left: 3 (19 enodes) 1548148010.512 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1548148010.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148010.512 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1548148010.513 * * [misc]simplify: iters left: 6 (16 enodes) 1548148010.517 * * [misc]simplify: iters left: 5 (26 enodes) 1548148010.527 * * [misc]simplify: iters left: 4 (36 enodes) 1548148010.536 * * [misc]simplify: iters left: 3 (54 enodes) 1548148010.551 * * [misc]simplify: iters left: 2 (99 enodes) 1548148010.565 * * [misc]simplify: iters left: 1 (149 enodes) 1548148010.584 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548148010.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548148010.584 * * * * [misc]progress: [ 185 / 302 ] simplifiying candidate # 1548148010.585 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148010.585 * * [misc]simplify: iters left: 6 (10 enodes) 1548148010.588 * * [misc]simplify: iters left: 5 (16 enodes) 1548148010.592 * * [misc]simplify: iters left: 4 (20 enodes) 1548148010.598 * * [misc]simplify: iters left: 3 (24 enodes) 1548148010.603 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548148010.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148010.603 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1548148010.603 * * [misc]simplify: iters left: 6 (13 enodes) 1548148010.607 * * [misc]simplify: iters left: 5 (21 enodes) 1548148010.613 * * [misc]simplify: iters left: 4 (33 enodes) 1548148010.622 * * [misc]simplify: iters left: 3 (51 enodes) 1548148010.633 * * [misc]simplify: iters left: 2 (96 enodes) 1548148010.648 * * [misc]simplify: iters left: 1 (147 enodes) 1548148010.668 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1548148010.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))))) 1548148010.668 * * * * [misc]progress: [ 186 / 302 ] simplifiying candidate # 1548148010.668 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.668 * * [misc]simplify: iters left: 6 (13 enodes) 1548148010.671 * * [misc]simplify: iters left: 5 (22 enodes) 1548148010.674 * * [misc]simplify: iters left: 4 (26 enodes) 1548148010.677 * * [misc]simplify: iters left: 3 (32 enodes) 1548148010.681 * * [misc]simplify: iters left: 2 (34 enodes) 1548148010.685 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148010.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148010.685 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.685 * * [misc]simplify: iters left: 6 (16 enodes) 1548148010.688 * * [misc]simplify: iters left: 5 (25 enodes) 1548148010.691 * * [misc]simplify: iters left: 4 (37 enodes) 1548148010.696 * * [misc]simplify: iters left: 3 (55 enodes) 1548148010.710 * * [misc]simplify: iters left: 2 (100 enodes) 1548148010.739 * * [misc]simplify: iters left: 1 (150 enodes) 1548148010.758 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548148010.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548148010.759 * * * * [misc]progress: [ 187 / 302 ] simplifiying candidate # 1548148010.759 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.759 * * [misc]simplify: iters left: 6 (12 enodes) 1548148010.761 * * [misc]simplify: iters left: 5 (19 enodes) 1548148010.764 * * [misc]simplify: iters left: 4 (23 enodes) 1548148010.767 * * [misc]simplify: iters left: 3 (27 enodes) 1548148010.770 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1548148010.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148010.770 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148010.770 * * [misc]simplify: iters left: 6 (16 enodes) 1548148010.772 * * [misc]simplify: iters left: 5 (25 enodes) 1548148010.780 * * [misc]simplify: iters left: 4 (37 enodes) 1548148010.789 * * [misc]simplify: iters left: 3 (55 enodes) 1548148010.797 * * [misc]simplify: iters left: 2 (100 enodes) 1548148010.810 * * [misc]simplify: iters left: 1 (150 enodes) 1548148010.831 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1548148010.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1548148010.832 * * * * [misc]progress: [ 188 / 302 ] simplifiying candidate # 1548148010.832 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1548148010.832 * * [misc]simplify: iters left: 4 (3 enodes) 1548148010.832 * * [misc]simplify: iters left: 3 (5 enodes) 1548148010.833 * [exit]simplify: Simplified to 1 1548148010.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.833 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.833 * * [misc]simplify: iters left: 6 (15 enodes) 1548148010.835 * * [misc]simplify: iters left: 5 (24 enodes) 1548148010.839 * * [misc]simplify: iters left: 4 (36 enodes) 1548148010.847 * * [misc]simplify: iters left: 3 (54 enodes) 1548148010.862 * * [misc]simplify: iters left: 2 (99 enodes) 1548148010.880 * * [misc]simplify: iters left: 1 (149 enodes) 1548148010.898 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548148010.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148010.898 * * * * [misc]progress: [ 189 / 302 ] simplifiying candidate # 1548148010.898 * [enter]simplify: Simplifying (/ 1 1) 1548148010.899 * * [misc]simplify: iters left: 2 (2 enodes) 1548148010.899 * * [misc]simplify: iters left: 1 (4 enodes) 1548148010.899 * [exit]simplify: Simplified to 1 1548148010.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.899 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.899 * * [misc]simplify: iters left: 6 (15 enodes) 1548148010.902 * * [misc]simplify: iters left: 5 (24 enodes) 1548148010.906 * * [misc]simplify: iters left: 4 (36 enodes) 1548148010.911 * * [misc]simplify: iters left: 3 (54 enodes) 1548148010.919 * * [misc]simplify: iters left: 2 (99 enodes) 1548148010.933 * * [misc]simplify: iters left: 1 (149 enodes) 1548148010.955 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548148010.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148010.955 * * * * [misc]progress: [ 190 / 302 ] simplifiying candidate # 1548148010.956 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1548148010.956 * * [misc]simplify: iters left: 3 (4 enodes) 1548148010.957 * * [misc]simplify: iters left: 2 (6 enodes) 1548148010.958 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1548148010.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148010.959 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1548148010.959 * * [misc]simplify: iters left: 6 (15 enodes) 1548148010.963 * * [misc]simplify: iters left: 5 (26 enodes) 1548148010.970 * * [misc]simplify: iters left: 4 (37 enodes) 1548148010.981 * * [misc]simplify: iters left: 3 (64 enodes) 1548148010.999 * * [misc]simplify: iters left: 2 (125 enodes) 1548148011.037 * * [misc]simplify: iters left: 1 (198 enodes) 1548148011.085 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1548148011.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148011.085 * * * * [misc]progress: [ 191 / 302 ] simplifiying candidate # 1548148011.085 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1548148011.085 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.087 * * [misc]simplify: iters left: 5 (16 enodes) 1548148011.089 * * [misc]simplify: iters left: 4 (19 enodes) 1548148011.091 * * [misc]simplify: iters left: 3 (21 enodes) 1548148011.094 * * [misc]simplify: iters left: 2 (33 enodes) 1548148011.098 * * [misc]simplify: iters left: 1 (41 enodes) 1548148011.102 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1548148011.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1548148011.103 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1548148011.103 * * [misc]simplify: iters left: 6 (13 enodes) 1548148011.105 * * [misc]simplify: iters left: 5 (20 enodes) 1548148011.107 * * [misc]simplify: iters left: 4 (29 enodes) 1548148011.114 * * [misc]simplify: iters left: 3 (45 enodes) 1548148011.121 * * [misc]simplify: iters left: 2 (86 enodes) 1548148011.132 * * [misc]simplify: iters left: 1 (128 enodes) 1548148011.147 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1548148011.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1548148011.147 * * * * [misc]progress: [ 192 / 302 ] simplifiying candidate # 1548148011.147 * * * * [misc]progress: [ 193 / 302 ] simplifiying candidate # 1548148011.147 * * * * [misc]progress: [ 194 / 302 ] simplifiying candidate # 1548148011.147 * * * * [misc]progress: [ 195 / 302 ] simplifiying candidate # 1548148011.147 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.147 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.149 * * [misc]simplify: iters left: 5 (14 enodes) 1548148011.151 * * [misc]simplify: iters left: 4 (17 enodes) 1548148011.153 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.153 * * * * [misc]progress: [ 196 / 302 ] simplifiying candidate # 1548148011.153 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.153 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.155 * * [misc]simplify: iters left: 5 (14 enodes) 1548148011.156 * * [misc]simplify: iters left: 4 (17 enodes) 1548148011.158 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.158 * * * * [misc]progress: [ 197 / 302 ] simplifiying candidate # 1548148011.159 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148011.159 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.160 * * [misc]simplify: iters left: 5 (13 enodes) 1548148011.162 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148011.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548148011.162 * * * * [misc]progress: [ 198 / 302 ] simplifiying candidate # 1548148011.162 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148011.163 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.164 * * [misc]simplify: iters left: 5 (13 enodes) 1548148011.166 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148011.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548148011.166 * * * * [misc]progress: [ 199 / 302 ] simplifiying candidate # 1548148011.166 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148011.166 * * [misc]simplify: iters left: 6 (9 enodes) 1548148011.167 * * [misc]simplify: iters left: 5 (11 enodes) 1548148011.169 * * [misc]simplify: iters left: 4 (14 enodes) 1548148011.171 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148011.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548148011.171 * * * * [misc]progress: [ 200 / 302 ] simplifiying candidate # 1548148011.171 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.171 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.173 * * [misc]simplify: iters left: 5 (15 enodes) 1548148011.174 * * [misc]simplify: iters left: 4 (18 enodes) 1548148011.177 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.177 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.177 * * * * [misc]progress: [ 201 / 302 ] simplifiying candidate # 1548148011.177 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.177 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.181 * * [misc]simplify: iters left: 5 (15 enodes) 1548148011.185 * * [misc]simplify: iters left: 4 (18 enodes) 1548148011.190 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.190 * * * * [misc]progress: [ 202 / 302 ] simplifiying candidate # 1548148011.190 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.190 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.196 * * [misc]simplify: iters left: 5 (14 enodes) 1548148011.200 * * [misc]simplify: iters left: 4 (17 enodes) 1548148011.204 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148011.205 * * * * [misc]progress: [ 203 / 302 ] simplifiying candidate # 1548148011.205 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148011.205 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.208 * * [misc]simplify: iters left: 5 (13 enodes) 1548148011.211 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148011.211 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548148011.212 * * * * [misc]progress: [ 204 / 302 ] simplifiying candidate # 1548148011.212 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148011.212 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.215 * * [misc]simplify: iters left: 5 (13 enodes) 1548148011.218 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148011.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1548148011.218 * * * * [misc]progress: [ 205 / 302 ] simplifiying candidate # 1548148011.219 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148011.219 * * [misc]simplify: iters left: 6 (9 enodes) 1548148011.221 * * [misc]simplify: iters left: 5 (11 enodes) 1548148011.225 * * [misc]simplify: iters left: 4 (14 enodes) 1548148011.228 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148011.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1548148011.228 * * * * [misc]progress: [ 206 / 302 ] simplifiying candidate # 1548148011.229 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.229 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.233 * * [misc]simplify: iters left: 5 (15 enodes) 1548148011.237 * * [misc]simplify: iters left: 4 (18 enodes) 1548148011.241 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.241 * * * * [misc]progress: [ 207 / 302 ] simplifiying candidate # 1548148011.242 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.242 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.245 * * [misc]simplify: iters left: 5 (15 enodes) 1548148011.250 * * [misc]simplify: iters left: 4 (18 enodes) 1548148011.255 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.255 * * * * [misc]progress: [ 208 / 302 ] simplifiying candidate # 1548148011.255 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.255 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.257 * * [misc]simplify: iters left: 5 (14 enodes) 1548148011.259 * * [misc]simplify: iters left: 4 (17 enodes) 1548148011.261 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148011.261 * * * * [misc]progress: [ 209 / 302 ] simplifiying candidate # 1548148011.262 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548148011.262 * * [misc]simplify: iters left: 6 (9 enodes) 1548148011.264 * * [misc]simplify: iters left: 5 (12 enodes) 1548148011.265 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548148011.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548148011.265 * * * * [misc]progress: [ 210 / 302 ] simplifiying candidate # 1548148011.266 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548148011.266 * * [misc]simplify: iters left: 6 (9 enodes) 1548148011.267 * * [misc]simplify: iters left: 5 (12 enodes) 1548148011.269 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548148011.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1548148011.269 * * * * [misc]progress: [ 211 / 302 ] simplifiying candidate # 1548148011.269 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548148011.269 * * [misc]simplify: iters left: 6 (8 enodes) 1548148011.270 * * [misc]simplify: iters left: 5 (10 enodes) 1548148011.271 * * [misc]simplify: iters left: 4 (13 enodes) 1548148011.273 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548148011.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148011.273 * * * * [misc]progress: [ 212 / 302 ] simplifiying candidate # 1548148011.273 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.273 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.275 * * [misc]simplify: iters left: 5 (14 enodes) 1548148011.277 * * [misc]simplify: iters left: 4 (17 enodes) 1548148011.279 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.279 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.279 * * * * [misc]progress: [ 213 / 302 ] simplifiying candidate # 1548148011.279 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.279 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.280 * * [misc]simplify: iters left: 5 (14 enodes) 1548148011.282 * * [misc]simplify: iters left: 4 (17 enodes) 1548148011.284 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.284 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148011.284 * * * * [misc]progress: [ 214 / 302 ] simplifiying candidate # 1548148011.285 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.285 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.286 * * [misc]simplify: iters left: 5 (13 enodes) 1548148011.288 * * [misc]simplify: iters left: 4 (16 enodes) 1548148011.289 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.289 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148011.290 * * * * [misc]progress: [ 215 / 302 ] simplifiying candidate # 1548148011.290 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.290 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.291 * * [misc]simplify: iters left: 5 (13 enodes) 1548148011.293 * * [misc]simplify: iters left: 4 (16 enodes) 1548148011.295 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148011.295 * * * * [misc]progress: [ 216 / 302 ] simplifiying candidate # 1548148011.295 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1548148011.295 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.297 * * [misc]simplify: iters left: 5 (15 enodes) 1548148011.301 * * [misc]simplify: iters left: 4 (18 enodes) 1548148011.306 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1548148011.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1548148011.306 * * * * [misc]progress: [ 217 / 302 ] simplifiying candidate # 1548148011.306 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548148011.306 * * [misc]simplify: iters left: 3 (6 enodes) 1548148011.308 * * [misc]simplify: iters left: 2 (7 enodes) 1548148011.310 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548148011.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1548148011.310 * * * * [misc]progress: [ 218 / 302 ] simplifiying candidate # 1548148011.310 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1548148011.310 * * [misc]simplify: iters left: 4 (5 enodes) 1548148011.312 * * [misc]simplify: iters left: 3 (9 enodes) 1548148011.314 * * [misc]simplify: iters left: 2 (11 enodes) 1548148011.317 * * [misc]simplify: iters left: 1 (13 enodes) 1548148011.319 * [exit]simplify: Simplified to (sqrt PI) 1548148011.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1548148011.319 * * * * [misc]progress: [ 219 / 302 ] simplifiying candidate # 1548148011.320 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1548148011.320 * * [misc]simplify: iters left: 4 (5 enodes) 1548148011.321 * * [misc]simplify: iters left: 3 (9 enodes) 1548148011.323 * * [misc]simplify: iters left: 2 (11 enodes) 1548148011.326 * * [misc]simplify: iters left: 1 (13 enodes) 1548148011.328 * [exit]simplify: Simplified to (sqrt PI) 1548148011.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1548148011.329 * * * * [misc]progress: [ 220 / 302 ] simplifiying candidate # 1548148011.329 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1548148011.329 * * [misc]simplify: iters left: 4 (5 enodes) 1548148011.331 * * [misc]simplify: iters left: 3 (8 enodes) 1548148011.333 * * [misc]simplify: iters left: 2 (9 enodes) 1548148011.336 * * [misc]simplify: iters left: 1 (12 enodes) 1548148011.339 * [exit]simplify: Simplified to (sqrt PI) 1548148011.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1548148011.340 * * * * [misc]progress: [ 221 / 302 ] simplifiying candidate # 1548148011.340 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1548148011.340 * * [misc]simplify: iters left: 4 (5 enodes) 1548148011.343 * * [misc]simplify: iters left: 3 (8 enodes) 1548148011.345 * * [misc]simplify: iters left: 2 (9 enodes) 1548148011.348 * * [misc]simplify: iters left: 1 (12 enodes) 1548148011.351 * [exit]simplify: Simplified to (sqrt PI) 1548148011.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1548148011.351 * * * * [misc]progress: [ 222 / 302 ] simplifiying candidate # 1548148011.351 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1548148011.352 * * [misc]simplify: iters left: 6 (11 enodes) 1548148011.355 * * [misc]simplify: iters left: 5 (17 enodes) 1548148011.358 * * [misc]simplify: iters left: 4 (26 enodes) 1548148011.361 * * [misc]simplify: iters left: 3 (42 enodes) 1548148011.367 * * [misc]simplify: iters left: 2 (81 enodes) 1548148011.377 * * [misc]simplify: iters left: 1 (119 enodes) 1548148011.390 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148011.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1548148011.390 * * * * [misc]progress: [ 223 / 302 ] simplifiying candidate # 1548148011.390 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1548148011.390 * * [misc]simplify: iters left: 6 (10 enodes) 1548148011.391 * * [misc]simplify: iters left: 5 (16 enodes) 1548148011.393 * * [misc]simplify: iters left: 4 (25 enodes) 1548148011.397 * * [misc]simplify: iters left: 3 (41 enodes) 1548148011.406 * * [misc]simplify: iters left: 2 (80 enodes) 1548148011.426 * * [misc]simplify: iters left: 1 (118 enodes) 1548148011.450 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148011.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1548148011.450 * * * * [misc]progress: [ 224 / 302 ] simplifiying candidate # 1548148011.450 * * * * [misc]progress: [ 225 / 302 ] simplifiying candidate # 1548148011.450 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548148011.450 * * [misc]simplify: iters left: 5 (8 enodes) 1548148011.453 * * [misc]simplify: iters left: 4 (11 enodes) 1548148011.456 * * [misc]simplify: iters left: 3 (14 enodes) 1548148011.459 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548148011.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.459 * * * * [misc]progress: [ 226 / 302 ] simplifiying candidate # 1548148011.460 * * * * [misc]progress: [ 227 / 302 ] simplifiying candidate # 1548148011.460 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548148011.460 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.464 * * [misc]simplify: iters left: 5 (21 enodes) 1548148011.471 * * [misc]simplify: iters left: 4 (44 enodes) 1548148011.487 * * [misc]simplify: iters left: 3 (125 enodes) 1548148011.531 * * [misc]simplify: iters left: 2 (343 enodes) 1548148011.647 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1548148011.647 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1548148011.647 * * * * [misc]progress: [ 228 / 302 ] simplifiying candidate # 1548148011.648 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548148011.648 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.650 * * [misc]simplify: iters left: 5 (21 enodes) 1548148011.653 * * [misc]simplify: iters left: 4 (44 enodes) 1548148011.662 * * [misc]simplify: iters left: 3 (125 enodes) 1548148011.689 * * [misc]simplify: iters left: 2 (343 enodes) 1548148011.840 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1548148011.840 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1548148011.840 * * * * [misc]progress: [ 229 / 302 ] simplifiying candidate # 1548148011.840 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.841 * * [misc]simplify: iters left: 6 (12 enodes) 1548148011.844 * * [misc]simplify: iters left: 5 (19 enodes) 1548148011.850 * * [misc]simplify: iters left: 4 (32 enodes) 1548148011.856 * * [misc]simplify: iters left: 3 (67 enodes) 1548148011.870 * * [misc]simplify: iters left: 2 (194 enodes) 1548148011.952 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1548148011.952 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1548148011.952 * * * * [misc]progress: [ 230 / 302 ] simplifiying candidate # 1548148011.952 * * * * [misc]progress: [ 231 / 302 ] simplifiying candidate # 1548148011.952 * * * * [misc]progress: [ 232 / 302 ] simplifiying candidate # 1548148011.953 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148011.953 * * [misc]simplify: iters left: 6 (14 enodes) 1548148011.958 * * [misc]simplify: iters left: 5 (26 enodes) 1548148011.966 * * [misc]simplify: iters left: 4 (58 enodes) 1548148011.986 * * [misc]simplify: iters left: 3 (117 enodes) 1548148012.024 * * [misc]simplify: iters left: 2 (193 enodes) 1548148012.096 * * [misc]simplify: iters left: 1 (263 enodes) 1548148012.193 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.194 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.194 * * * * [misc]progress: [ 233 / 302 ] simplifiying candidate # 1548148012.194 * * * * [misc]progress: [ 234 / 302 ] simplifiying candidate # 1548148012.194 * * * * [misc]progress: [ 235 / 302 ] simplifiying candidate # 1548148012.194 * * * * [misc]progress: [ 236 / 302 ] simplifiying candidate # 1548148012.194 * * * * [misc]progress: [ 237 / 302 ] simplifiying candidate # 1548148012.194 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548148012.194 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.196 * * [misc]simplify: iters left: 5 (14 enodes) 1548148012.197 * * [misc]simplify: iters left: 4 (16 enodes) 1548148012.199 * * [misc]simplify: iters left: 3 (17 enodes) 1548148012.201 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548148012.201 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148012.202 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148012.202 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.203 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.206 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148012.206 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548148012.206 * * * * [misc]progress: [ 238 / 302 ] simplifiying candidate # 1548148012.206 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1548148012.206 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.207 * * [misc]simplify: iters left: 5 (14 enodes) 1548148012.209 * * [misc]simplify: iters left: 4 (16 enodes) 1548148012.211 * * [misc]simplify: iters left: 3 (17 enodes) 1548148012.213 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1548148012.213 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148012.213 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148012.213 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.215 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.217 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148012.217 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548148012.217 * * * * [misc]progress: [ 239 / 302 ] simplifiying candidate # 1548148012.217 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548148012.217 * * [misc]simplify: iters left: 6 (11 enodes) 1548148012.219 * * [misc]simplify: iters left: 5 (15 enodes) 1548148012.222 * * [misc]simplify: iters left: 4 (20 enodes) 1548148012.227 * * [misc]simplify: iters left: 3 (21 enodes) 1548148012.233 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1548148012.233 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148012.233 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148012.233 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.236 * * [misc]simplify: iters left: 5 (11 enodes) 1548148012.239 * * [misc]simplify: iters left: 4 (14 enodes) 1548148012.242 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148012.242 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148012.242 * * * * [misc]progress: [ 240 / 302 ] simplifiying candidate # 1548148012.243 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.243 * * [misc]simplify: iters left: 6 (14 enodes) 1548148012.247 * * [misc]simplify: iters left: 5 (23 enodes) 1548148012.253 * * [misc]simplify: iters left: 4 (35 enodes) 1548148012.262 * * [misc]simplify: iters left: 3 (38 enodes) 1548148012.272 * * [misc]simplify: iters left: 2 (41 enodes) 1548148012.282 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.282 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.282 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.282 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.286 * * [misc]simplify: iters left: 5 (15 enodes) 1548148012.290 * * [misc]simplify: iters left: 4 (18 enodes) 1548148012.295 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.295 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.295 * * * * [misc]progress: [ 241 / 302 ] simplifiying candidate # 1548148012.295 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.296 * * [misc]simplify: iters left: 6 (13 enodes) 1548148012.300 * * [misc]simplify: iters left: 5 (18 enodes) 1548148012.305 * * [misc]simplify: iters left: 4 (23 enodes) 1548148012.307 * * [misc]simplify: iters left: 3 (24 enodes) 1548148012.310 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.310 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.311 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.311 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.312 * * [misc]simplify: iters left: 5 (15 enodes) 1548148012.314 * * [misc]simplify: iters left: 4 (18 enodes) 1548148012.316 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.316 * * * * [misc]progress: [ 242 / 302 ] simplifiying candidate # 1548148012.316 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1548148012.316 * * [misc]simplify: iters left: 6 (6 enodes) 1548148012.317 * * [misc]simplify: iters left: 5 (10 enodes) 1548148012.319 * * [misc]simplify: iters left: 4 (16 enodes) 1548148012.322 * * [misc]simplify: iters left: 3 (18 enodes) 1548148012.324 * * [misc]simplify: iters left: 2 (23 enodes) 1548148012.326 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548148012.326 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.326 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.327 * * [misc]simplify: iters left: 6 (11 enodes) 1548148012.328 * * [misc]simplify: iters left: 5 (14 enodes) 1548148012.330 * * [misc]simplify: iters left: 4 (17 enodes) 1548148012.332 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.332 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.332 * * * * [misc]progress: [ 243 / 302 ] simplifiying candidate # 1548148012.333 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548148012.333 * * [misc]simplify: iters left: 5 (9 enodes) 1548148012.335 * * [misc]simplify: iters left: 4 (11 enodes) 1548148012.338 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548148012.338 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148012.338 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148012.338 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.341 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.345 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148012.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548148012.345 * * * * [misc]progress: [ 244 / 302 ] simplifiying candidate # 1548148012.345 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1548148012.345 * * [misc]simplify: iters left: 5 (9 enodes) 1548148012.348 * * [misc]simplify: iters left: 4 (11 enodes) 1548148012.349 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1548148012.349 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1548148012.350 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1548148012.350 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.351 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.353 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1548148012.353 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1548148012.353 * * * * [misc]progress: [ 245 / 302 ] simplifiying candidate # 1548148012.353 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548148012.353 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.355 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.357 * * [misc]simplify: iters left: 4 (15 enodes) 1548148012.359 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1548148012.359 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148012.359 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148012.359 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.360 * * [misc]simplify: iters left: 5 (11 enodes) 1548148012.361 * * [misc]simplify: iters left: 4 (14 enodes) 1548148012.363 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148012.363 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148012.363 * * * * [misc]progress: [ 246 / 302 ] simplifiying candidate # 1548148012.363 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.364 * * [misc]simplify: iters left: 6 (13 enodes) 1548148012.365 * * [misc]simplify: iters left: 5 (18 enodes) 1548148012.368 * * [misc]simplify: iters left: 4 (21 enodes) 1548148012.371 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.372 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.372 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.373 * * [misc]simplify: iters left: 5 (15 enodes) 1548148012.375 * * [misc]simplify: iters left: 4 (18 enodes) 1548148012.377 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.377 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.377 * * * * [misc]progress: [ 247 / 302 ] simplifiying candidate # 1548148012.377 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.378 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.379 * * [misc]simplify: iters left: 5 (15 enodes) 1548148012.381 * * [misc]simplify: iters left: 4 (18 enodes) 1548148012.383 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.383 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.383 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.383 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.385 * * [misc]simplify: iters left: 5 (15 enodes) 1548148012.387 * * [misc]simplify: iters left: 4 (18 enodes) 1548148012.389 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.389 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.389 * * * * [misc]progress: [ 248 / 302 ] simplifiying candidate # 1548148012.390 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1548148012.390 * * [misc]simplify: iters left: 4 (5 enodes) 1548148012.390 * * [misc]simplify: iters left: 3 (7 enodes) 1548148012.392 * * [misc]simplify: iters left: 2 (9 enodes) 1548148012.393 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548148012.393 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.393 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.393 * * [misc]simplify: iters left: 6 (11 enodes) 1548148012.395 * * [misc]simplify: iters left: 5 (14 enodes) 1548148012.396 * * [misc]simplify: iters left: 4 (17 enodes) 1548148012.398 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.398 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.398 * * * * [misc]progress: [ 249 / 302 ] simplifiying candidate # 1548148012.399 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548148012.399 * * [misc]simplify: iters left: 5 (7 enodes) 1548148012.400 * * [misc]simplify: iters left: 4 (11 enodes) 1548148012.401 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548148012.401 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148012.401 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548148012.401 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.403 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.405 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548148012.406 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548148012.406 * * * * [misc]progress: [ 250 / 302 ] simplifiying candidate # 1548148012.406 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1548148012.406 * * [misc]simplify: iters left: 5 (7 enodes) 1548148012.408 * * [misc]simplify: iters left: 4 (11 enodes) 1548148012.411 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1548148012.411 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1548148012.411 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1548148012.411 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.413 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.414 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1548148012.414 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1548148012.414 * * * * [misc]progress: [ 251 / 302 ] simplifiying candidate # 1548148012.415 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548148012.415 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.416 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.418 * * [misc]simplify: iters left: 4 (16 enodes) 1548148012.420 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548148012.421 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148012.421 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548148012.421 * * [misc]simplify: iters left: 6 (8 enodes) 1548148012.422 * * [misc]simplify: iters left: 5 (10 enodes) 1548148012.423 * * [misc]simplify: iters left: 4 (13 enodes) 1548148012.425 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548148012.425 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148012.425 * * * * [misc]progress: [ 252 / 302 ] simplifiying candidate # 1548148012.425 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.425 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.427 * * [misc]simplify: iters left: 5 (19 enodes) 1548148012.429 * * [misc]simplify: iters left: 4 (22 enodes) 1548148012.432 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148012.432 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.432 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.432 * * [misc]simplify: iters left: 6 (11 enodes) 1548148012.434 * * [misc]simplify: iters left: 5 (14 enodes) 1548148012.435 * * [misc]simplify: iters left: 4 (17 enodes) 1548148012.437 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.437 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.438 * * * * [misc]progress: [ 253 / 302 ] simplifiying candidate # 1548148012.438 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.438 * * [misc]simplify: iters left: 6 (11 enodes) 1548148012.439 * * [misc]simplify: iters left: 5 (16 enodes) 1548148012.442 * * [misc]simplify: iters left: 4 (19 enodes) 1548148012.447 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1548148012.447 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.447 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.447 * * [misc]simplify: iters left: 6 (11 enodes) 1548148012.451 * * [misc]simplify: iters left: 5 (14 enodes) 1548148012.455 * * [misc]simplify: iters left: 4 (17 enodes) 1548148012.459 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1548148012.460 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1548148012.460 * * * * [misc]progress: [ 254 / 302 ] simplifiying candidate # 1548148012.460 * [enter]simplify: Simplifying (/ 1 1) 1548148012.460 * * [misc]simplify: iters left: 2 (2 enodes) 1548148012.461 * * [misc]simplify: iters left: 1 (4 enodes) 1548148012.461 * [exit]simplify: Simplified to 1 1548148012.461 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.462 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.462 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.465 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.468 * * [misc]simplify: iters left: 4 (16 enodes) 1548148012.473 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.473 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.473 * * * * [misc]progress: [ 255 / 302 ] simplifiying candidate # 1548148012.473 * * * * [misc]progress: [ 256 / 302 ] simplifiying candidate # 1548148012.473 * * * * [misc]progress: [ 257 / 302 ] simplifiying candidate # 1548148012.473 * * * * [misc]progress: [ 258 / 302 ] simplifiying candidate # 1548148012.474 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548148012.474 * * [misc]simplify: iters left: 5 (7 enodes) 1548148012.476 * * [misc]simplify: iters left: 4 (10 enodes) 1548148012.478 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548148012.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548148012.478 * * * * [misc]progress: [ 259 / 302 ] simplifiying candidate # 1548148012.479 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1548148012.479 * * [misc]simplify: iters left: 5 (7 enodes) 1548148012.481 * * [misc]simplify: iters left: 4 (10 enodes) 1548148012.483 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1548148012.483 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1548148012.483 * * * * [misc]progress: [ 260 / 302 ] simplifiying candidate # 1548148012.484 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1548148012.484 * * [misc]simplify: iters left: 5 (6 enodes) 1548148012.485 * * [misc]simplify: iters left: 4 (8 enodes) 1548148012.487 * * [misc]simplify: iters left: 3 (11 enodes) 1548148012.490 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1548148012.490 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1548148012.490 * * * * [misc]progress: [ 261 / 302 ] simplifiying candidate # 1548148012.491 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.491 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.493 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.496 * * [misc]simplify: iters left: 4 (15 enodes) 1548148012.500 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.500 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.501 * * * * [misc]progress: [ 262 / 302 ] simplifiying candidate # 1548148012.501 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.501 * * [misc]simplify: iters left: 6 (9 enodes) 1548148012.504 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.507 * * [misc]simplify: iters left: 4 (15 enodes) 1548148012.511 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1548148012.511 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1548148012.511 * * * * [misc]progress: [ 263 / 302 ] simplifiying candidate # 1548148012.511 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1548148012.512 * * [misc]simplify: iters left: 5 (8 enodes) 1548148012.514 * * [misc]simplify: iters left: 4 (11 enodes) 1548148012.517 * * [misc]simplify: iters left: 3 (14 enodes) 1548148012.521 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1548148012.522 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.522 * * * * [misc]progress: [ 264 / 302 ] simplifiying candidate # 1548148012.522 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548148012.522 * * [misc]simplify: iters left: 4 (4 enodes) 1548148012.523 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548148012.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548148012.523 * * * * [misc]progress: [ 265 / 302 ] simplifiying candidate # 1548148012.524 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548148012.524 * * [misc]simplify: iters left: 2 (3 enodes) 1548148012.524 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548148012.524 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548148012.524 * * * * [misc]progress: [ 266 / 302 ] simplifiying candidate # 1548148012.525 * * * * [misc]progress: [ 267 / 302 ] simplifiying candidate # 1548148012.525 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1548148012.525 * * [misc]simplify: iters left: 3 (6 enodes) 1548148012.527 * * [misc]simplify: iters left: 2 (7 enodes) 1548148012.529 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1548148012.529 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1548148012.529 * * * * [misc]progress: [ 268 / 302 ] simplifiying candidate # 1548148012.529 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1548148012.529 * * [misc]simplify: iters left: 6 (8 enodes) 1548148012.531 * * [misc]simplify: iters left: 5 (11 enodes) 1548148012.534 * * [misc]simplify: iters left: 4 (20 enodes) 1548148012.540 * * [misc]simplify: iters left: 3 (30 enodes) 1548148012.548 * * [misc]simplify: iters left: 2 (45 enodes) 1548148012.559 * * [misc]simplify: iters left: 1 (53 enodes) 1548148012.565 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1548148012.566 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.566 * * * * [misc]progress: [ 269 / 302 ] simplifiying candidate # 1548148012.566 * * * * [misc]progress: [ 270 / 302 ] simplifiying candidate # 1548148012.566 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1548148012.566 * * [misc]simplify: iters left: 6 (10 enodes) 1548148012.567 * * [misc]simplify: iters left: 5 (13 enodes) 1548148012.569 * * [misc]simplify: iters left: 4 (16 enodes) 1548148012.571 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1548148012.571 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.571 * * * * [misc]progress: [ 271 / 302 ] simplifiying candidate # 1548148012.571 * * * * [misc]progress: [ 272 / 302 ] simplifiying candidate # 1548148012.571 * * * * [misc]progress: [ 273 / 302 ] simplifiying candidate # 1548148012.571 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1548148012.571 * * [misc]simplify: iters left: 6 (12 enodes) 1548148012.573 * * [misc]simplify: iters left: 5 (21 enodes) 1548148012.577 * * [misc]simplify: iters left: 4 (67 enodes) 1548148012.598 * * [misc]simplify: iters left: 3 (321 enodes) 1548148012.928 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1548148012.928 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.928 * * * * [misc]progress: [ 274 / 302 ] simplifiying candidate # 1548148012.928 * * * * [misc]progress: [ 275 / 302 ] simplifiying candidate # 1548148012.928 * * * * [misc]progress: [ 276 / 302 ] simplifiying candidate # 1548148012.929 * * * * [misc]progress: [ 277 / 302 ] simplifiying candidate # 1548148012.929 * * * * [misc]progress: [ 278 / 302 ] simplifiying candidate # 1548148012.929 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1548148012.929 * * [misc]simplify: iters left: 6 (7 enodes) 1548148012.931 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.935 * * [misc]simplify: iters left: 4 (22 enodes) 1548148012.941 * * [misc]simplify: iters left: 3 (35 enodes) 1548148012.953 * * [misc]simplify: iters left: 2 (42 enodes) 1548148012.958 * * [misc]simplify: iters left: 1 (47 enodes) 1548148012.963 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1548148012.963 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.963 * * * * [misc]progress: [ 279 / 302 ] simplifiying candidate # 1548148012.963 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1548148012.963 * * [misc]simplify: iters left: 6 (7 enodes) 1548148012.964 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.966 * * [misc]simplify: iters left: 4 (22 enodes) 1548148012.969 * * [misc]simplify: iters left: 3 (35 enodes) 1548148012.973 * * [misc]simplify: iters left: 2 (42 enodes) 1548148012.978 * * [misc]simplify: iters left: 1 (47 enodes) 1548148012.984 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1548148012.984 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148012.984 * * * * [misc]progress: [ 280 / 302 ] simplifiying candidate # 1548148012.984 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1548148012.984 * * [misc]simplify: iters left: 6 (7 enodes) 1548148012.986 * * [misc]simplify: iters left: 5 (12 enodes) 1548148012.990 * * [misc]simplify: iters left: 4 (22 enodes) 1548148012.995 * * [misc]simplify: iters left: 3 (32 enodes) 1548148013.002 * * [misc]simplify: iters left: 2 (36 enodes) 1548148013.011 * * [misc]simplify: iters left: 1 (43 enodes) 1548148013.021 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1548148013.022 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.022 * * * * [misc]progress: [ 281 / 302 ] simplifiying candidate # 1548148013.022 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1548148013.022 * * [misc]simplify: iters left: 6 (7 enodes) 1548148013.024 * * [misc]simplify: iters left: 5 (12 enodes) 1548148013.028 * * [misc]simplify: iters left: 4 (22 enodes) 1548148013.033 * * [misc]simplify: iters left: 3 (32 enodes) 1548148013.037 * * [misc]simplify: iters left: 2 (36 enodes) 1548148013.041 * * [misc]simplify: iters left: 1 (43 enodes) 1548148013.047 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1548148013.047 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.047 * * * * [misc]progress: [ 282 / 302 ] simplifiying candidate # 1548148013.048 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548148013.048 * * [misc]simplify: iters left: 5 (6 enodes) 1548148013.049 * * [misc]simplify: iters left: 4 (8 enodes) 1548148013.050 * * [misc]simplify: iters left: 3 (11 enodes) 1548148013.051 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548148013.051 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.051 * * * * [misc]progress: [ 283 / 302 ] simplifiying candidate # 1548148013.051 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548148013.052 * * [misc]simplify: iters left: 5 (6 enodes) 1548148013.052 * * [misc]simplify: iters left: 4 (8 enodes) 1548148013.054 * * [misc]simplify: iters left: 3 (11 enodes) 1548148013.055 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548148013.055 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.055 * * * * [misc]progress: [ 284 / 302 ] simplifiying candidate # 1548148013.055 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548148013.055 * * [misc]simplify: iters left: 4 (5 enodes) 1548148013.056 * * [misc]simplify: iters left: 3 (7 enodes) 1548148013.057 * * [misc]simplify: iters left: 2 (10 enodes) 1548148013.058 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548148013.058 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.058 * * * * [misc]progress: [ 285 / 302 ] simplifiying candidate # 1548148013.058 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1548148013.059 * * [misc]simplify: iters left: 4 (4 enodes) 1548148013.059 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1548148013.059 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.059 * * * * [misc]progress: [ 286 / 302 ] simplifiying candidate # 1548148013.059 * [enter]simplify: Simplifying (sqrt (log PI)) 1548148013.059 * * [misc]simplify: iters left: 2 (3 enodes) 1548148013.060 * [exit]simplify: Simplified to (sqrt (log PI)) 1548148013.060 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.060 * * * * [misc]progress: [ 287 / 302 ] simplifiying candidate # 1548148013.060 * * * * [misc]progress: [ 288 / 302 ] simplifiying candidate # 1548148013.060 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1548148013.060 * * [misc]simplify: iters left: 6 (9 enodes) 1548148013.062 * * [misc]simplify: iters left: 5 (23 enodes) 1548148013.067 * * [misc]simplify: iters left: 4 (47 enodes) 1548148013.081 * * [misc]simplify: iters left: 3 (69 enodes) 1548148013.098 * * [misc]simplify: iters left: 2 (82 enodes) 1548148013.114 * * [misc]simplify: iters left: 1 (105 enodes) 1548148013.145 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1548148013.146 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.146 * * * * [misc]progress: [ 289 / 302 ] simplifiying candidate # 1548148013.146 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1548148013.146 * * [misc]simplify: iters left: 4 (5 enodes) 1548148013.147 * * [misc]simplify: iters left: 3 (6 enodes) 1548148013.149 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1548148013.149 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.149 * * * * [misc]progress: [ 290 / 302 ] simplifiying candidate # 1548148013.149 * * * * [misc]progress: [ 291 / 302 ] simplifiying candidate # 1548148013.150 * [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))))) 1548148013.150 * * [misc]simplify: iters left: 6 (35 enodes) 1548148013.166 * * [misc]simplify: iters left: 5 (99 enodes) 1548148013.194 * * [misc]simplify: iters left: 4 (298 enodes) 1548148013.370 * [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))))))) 1548148013.370 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1548148013.370 * * * * [misc]progress: [ 292 / 302 ] simplifiying candidate # 1548148013.371 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1548148013.371 * * [misc]simplify: iters left: 6 (13 enodes) 1548148013.376 * * [misc]simplify: iters left: 5 (27 enodes) 1548148013.380 * * [misc]simplify: iters left: 4 (53 enodes) 1548148013.393 * * [misc]simplify: iters left: 3 (116 enodes) 1548148013.429 * * [misc]simplify: iters left: 2 (362 enodes) 1548148013.659 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1548148013.659 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1548148013.659 * * * * [misc]progress: [ 293 / 302 ] simplifiying candidate # 1548148013.660 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1548148013.660 * * [misc]simplify: iters left: 6 (13 enodes) 1548148013.665 * * [misc]simplify: iters left: 5 (24 enodes) 1548148013.674 * * [misc]simplify: iters left: 4 (54 enodes) 1548148013.693 * * [misc]simplify: iters left: 3 (143 enodes) 1548148013.776 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1548148013.776 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1548148013.776 * * * * [misc]progress: [ 294 / 302 ] simplifiying candidate # 1548148013.777 * [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))))))))))))))) 1548148013.777 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548148013.777 * * * * [misc]progress: [ 295 / 302 ] simplifiying candidate # 1548148013.777 * [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)))))))) 1548148013.777 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548148013.777 * * * * [misc]progress: [ 296 / 302 ] simplifiying candidate # 1548148013.777 * [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)))))))) 1548148013.777 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1548148013.777 * * * * [misc]progress: [ 297 / 302 ] simplifiying candidate # 1548148013.777 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1548148013.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1548148013.777 * * * * [misc]progress: [ 298 / 302 ] simplifiying candidate # 1548148013.777 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1548148013.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1548148013.777 * * * * [misc]progress: [ 299 / 302 ] simplifiying candidate # 1548148013.778 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1548148013.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1548148013.778 * * * * [misc]progress: [ 300 / 302 ] simplifiying candidate # 1548148013.778 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548148013.778 * * [misc]simplify: iters left: 6 (8 enodes) 1548148013.779 * * [misc]simplify: iters left: 5 (16 enodes) 1548148013.782 * * [misc]simplify: iters left: 4 (36 enodes) 1548148013.788 * * [misc]simplify: iters left: 3 (60 enodes) 1548148013.796 * * [misc]simplify: iters left: 2 (72 enodes) 1548148013.805 * * [misc]simplify: iters left: 1 (87 enodes) 1548148013.831 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1548148013.831 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.831 * * * * [misc]progress: [ 301 / 302 ] simplifiying candidate # 1548148013.832 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548148013.832 * * [misc]simplify: iters left: 6 (8 enodes) 1548148013.834 * * [misc]simplify: iters left: 5 (16 enodes) 1548148013.838 * * [misc]simplify: iters left: 4 (36 enodes) 1548148013.844 * * [misc]simplify: iters left: 3 (60 enodes) 1548148013.854 * * [misc]simplify: iters left: 2 (72 enodes) 1548148013.863 * * [misc]simplify: iters left: 1 (87 enodes) 1548148013.887 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1548148013.887 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.887 * * * * [misc]progress: [ 302 / 302 ] simplifiying candidate # 1548148013.888 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1548148013.888 * * [misc]simplify: iters left: 6 (8 enodes) 1548148013.890 * * [misc]simplify: iters left: 5 (16 enodes) 1548148013.896 * * [misc]simplify: iters left: 4 (36 enodes) 1548148013.902 * * [misc]simplify: iters left: 3 (60 enodes) 1548148013.910 * * [misc]simplify: iters left: 2 (72 enodes) 1548148013.919 * * [misc]simplify: iters left: 1 (87 enodes) 1548148013.949 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1548148013.949 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1548148013.949 * * * [misc]progress: adding candidates to table 1548148017.986 * * [misc]progress: iteration 4 / 4 1548148017.986 * * * [misc]progress: picking best candidate 1548148018.012 * * * * [misc]pick: Picked # 1548148018.012 * * * [misc]progress: localizing error 1548148018.050 * * * [misc]progress: generating rewritten candidates 1548148018.050 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1548148018.052 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1548148018.053 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1548148018.060 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1548148018.071 * * * [misc]progress: generating series expansions 1548148018.071 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1548148018.071 * [misc]backup-simplify: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k))) 1548148018.071 * [misc]approximate: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0 1548148018.071 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548148018.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548148018.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548148018.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.072 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.072 * [misc]taylor: Taking taylor expansion of k in k 1548148018.072 * [misc]backup-simplify: Simplify 0 into 0 1548148018.072 * [misc]backup-simplify: Simplify 1 into 1 1548148018.072 * [misc]taylor: Taking taylor expansion of (log n) in k 1548148018.072 * [misc]taylor: Taking taylor expansion of n in k 1548148018.072 * [misc]backup-simplify: Simplify n into n 1548148018.072 * [misc]backup-simplify: Simplify (log n) into (log n) 1548148018.072 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.073 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.073 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.073 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548148018.073 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548148018.073 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1548148018.073 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1548148018.073 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1548148018.073 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548148018.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.073 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548148018.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.073 * [misc]taylor: Taking taylor expansion of k in n 1548148018.073 * [misc]backup-simplify: Simplify k into k 1548148018.073 * [misc]taylor: Taking taylor expansion of (log n) in n 1548148018.073 * [misc]taylor: Taking taylor expansion of n in n 1548148018.073 * [misc]backup-simplify: Simplify 0 into 0 1548148018.073 * [misc]backup-simplify: Simplify 1 into 1 1548148018.074 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.074 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548148018.074 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548148018.074 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548148018.074 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.074 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1548148018.074 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1548148018.074 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1548148018.074 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1548148018.074 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1548148018.075 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548148018.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.075 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548148018.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.075 * [misc]taylor: Taking taylor expansion of k in n 1548148018.075 * [misc]backup-simplify: Simplify k into k 1548148018.075 * [misc]taylor: Taking taylor expansion of (log n) in n 1548148018.075 * [misc]taylor: Taking taylor expansion of n in n 1548148018.075 * [misc]backup-simplify: Simplify 0 into 0 1548148018.075 * [misc]backup-simplify: Simplify 1 into 1 1548148018.075 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.075 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548148018.075 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548148018.075 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548148018.075 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.076 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1548148018.076 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1548148018.076 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548148018.076 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548148018.076 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548148018.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.076 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.076 * [misc]taylor: Taking taylor expansion of k in k 1548148018.076 * [misc]backup-simplify: Simplify 0 into 0 1548148018.076 * [misc]backup-simplify: Simplify 1 into 1 1548148018.076 * [misc]taylor: Taking taylor expansion of (log n) in k 1548148018.076 * [misc]taylor: Taking taylor expansion of n in k 1548148018.076 * [misc]backup-simplify: Simplify n into n 1548148018.076 * [misc]backup-simplify: Simplify (log n) into (log n) 1548148018.076 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.077 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.077 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.077 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548148018.077 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548148018.077 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1548148018.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548148018.080 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1548148018.080 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.080 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.081 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.081 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1548148018.082 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.082 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.082 * [misc]backup-simplify: Simplify 0 into 0 1548148018.082 * [misc]backup-simplify: Simplify 0 into 0 1548148018.083 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548148018.084 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548148018.084 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.084 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1548148018.084 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1548148018.085 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1548148018.089 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548148018.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1548148018.090 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.090 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.090 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1548148018.092 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.092 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.092 * [misc]backup-simplify: Simplify 0 into 0 1548148018.092 * [misc]backup-simplify: Simplify 0 into 0 1548148018.092 * [misc]backup-simplify: Simplify 0 into 0 1548148018.094 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548148018.094 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548148018.094 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1548148018.096 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1548148018.096 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1548148018.097 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1548148018.097 * [misc]backup-simplify: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.097 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1548148018.097 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of k in k 1548148018.097 * [misc]backup-simplify: Simplify 0 into 0 1548148018.097 * [misc]backup-simplify: Simplify 1 into 1 1548148018.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.097 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1548148018.097 * [misc]taylor: Taking taylor expansion of n in k 1548148018.098 * [misc]backup-simplify: Simplify n into n 1548148018.098 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1548148018.098 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1548148018.098 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.098 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.098 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.098 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1548148018.098 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.098 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548148018.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548148018.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548148018.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548148018.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.099 * [misc]taylor: Taking taylor expansion of k in n 1548148018.099 * [misc]backup-simplify: Simplify k into k 1548148018.099 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.099 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548148018.099 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548148018.099 * [misc]taylor: Taking taylor expansion of n in n 1548148018.099 * [misc]backup-simplify: Simplify 0 into 0 1548148018.099 * [misc]backup-simplify: Simplify 1 into 1 1548148018.099 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.099 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.099 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.099 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548148018.100 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548148018.100 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.100 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548148018.100 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1548148018.100 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548148018.100 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548148018.100 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548148018.100 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548148018.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.100 * [misc]taylor: Taking taylor expansion of k in n 1548148018.100 * [misc]backup-simplify: Simplify k into k 1548148018.101 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.101 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548148018.101 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548148018.101 * [misc]taylor: Taking taylor expansion of n in n 1548148018.101 * [misc]backup-simplify: Simplify 0 into 0 1548148018.101 * [misc]backup-simplify: Simplify 1 into 1 1548148018.101 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.101 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.101 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.101 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548148018.101 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548148018.102 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.102 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548148018.102 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1548148018.102 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1548148018.102 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1548148018.102 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.102 * [misc]backup-simplify: Simplify -1 into -1 1548148018.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1548148018.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.102 * [misc]taylor: Taking taylor expansion of k in k 1548148018.102 * [misc]backup-simplify: Simplify 0 into 0 1548148018.102 * [misc]backup-simplify: Simplify 1 into 1 1548148018.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.103 * [misc]taylor: Taking taylor expansion of (log n) in k 1548148018.103 * [misc]taylor: Taking taylor expansion of n in k 1548148018.103 * [misc]backup-simplify: Simplify n into n 1548148018.103 * [misc]backup-simplify: Simplify (log n) into (log n) 1548148018.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.103 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.103 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.103 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1548148018.103 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1548148018.103 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1548148018.104 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1548148018.104 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548148018.106 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548148018.107 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548148018.107 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548148018.107 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.107 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.107 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.108 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1548148018.109 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.109 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.109 * [misc]backup-simplify: Simplify 0 into 0 1548148018.109 * [misc]backup-simplify: Simplify 0 into 0 1548148018.109 * [misc]backup-simplify: Simplify 0 into 0 1548148018.109 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.114 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548148018.114 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548148018.115 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.115 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.115 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1548148018.117 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.117 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.117 * [misc]backup-simplify: Simplify 0 into 0 1548148018.117 * [misc]backup-simplify: Simplify 0 into 0 1548148018.117 * [misc]backup-simplify: Simplify 0 into 0 1548148018.118 * [misc]backup-simplify: Simplify 0 into 0 1548148018.118 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.131 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1548148018.131 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.132 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548148018.132 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.133 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.133 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1548148018.137 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1548148018.137 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.137 * [misc]backup-simplify: Simplify 0 into 0 1548148018.137 * [misc]backup-simplify: Simplify 0 into 0 1548148018.137 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1548148018.137 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.137 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1548148018.137 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.138 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of k in k 1548148018.138 * [misc]backup-simplify: Simplify 0 into 0 1548148018.138 * [misc]backup-simplify: Simplify 1 into 1 1548148018.138 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.138 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1548148018.138 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.138 * [misc]backup-simplify: Simplify -1 into -1 1548148018.138 * [misc]taylor: Taking taylor expansion of n in k 1548148018.138 * [misc]backup-simplify: Simplify n into n 1548148018.138 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1548148018.138 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1548148018.138 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.139 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.139 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1548148018.139 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.139 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of k in n 1548148018.139 * [misc]backup-simplify: Simplify k into k 1548148018.139 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.139 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548148018.139 * [misc]taylor: Taking taylor expansion of -1 in n 1548148018.139 * [misc]backup-simplify: Simplify -1 into -1 1548148018.139 * [misc]taylor: Taking taylor expansion of n in n 1548148018.140 * [misc]backup-simplify: Simplify 0 into 0 1548148018.140 * [misc]backup-simplify: Simplify 1 into 1 1548148018.140 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548148018.140 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548148018.140 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.140 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548148018.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.141 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1548148018.141 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1548148018.141 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548148018.141 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548148018.141 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548148018.141 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548148018.141 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.141 * [misc]taylor: Taking taylor expansion of k in n 1548148018.141 * [misc]backup-simplify: Simplify k into k 1548148018.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.142 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548148018.142 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548148018.142 * [misc]taylor: Taking taylor expansion of -1 in n 1548148018.142 * [misc]backup-simplify: Simplify -1 into -1 1548148018.142 * [misc]taylor: Taking taylor expansion of n in n 1548148018.142 * [misc]backup-simplify: Simplify 0 into 0 1548148018.142 * [misc]backup-simplify: Simplify 1 into 1 1548148018.142 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548148018.142 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548148018.142 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.142 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548148018.143 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.143 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1548148018.143 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1548148018.144 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of k in k 1548148018.144 * [misc]backup-simplify: Simplify 0 into 0 1548148018.144 * [misc]backup-simplify: Simplify 1 into 1 1548148018.144 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.144 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of (log -1) in k 1548148018.144 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.144 * [misc]backup-simplify: Simplify -1 into -1 1548148018.145 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548148018.145 * [misc]taylor: Taking taylor expansion of (log n) in k 1548148018.145 * [misc]taylor: Taking taylor expansion of n in k 1548148018.145 * [misc]backup-simplify: Simplify n into n 1548148018.145 * [misc]backup-simplify: Simplify (log n) into (log n) 1548148018.145 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.145 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.145 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1548148018.145 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1548148018.146 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1548148018.146 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1548148018.146 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1548148018.147 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548148018.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1548148018.149 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548148018.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548148018.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.150 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.150 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1548148018.152 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.152 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.152 * [misc]backup-simplify: Simplify 0 into 0 1548148018.152 * [misc]backup-simplify: Simplify 0 into 0 1548148018.152 * [misc]backup-simplify: Simplify 0 into 0 1548148018.152 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.156 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1548148018.156 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548148018.157 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.157 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.158 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1548148018.160 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.160 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.160 * [misc]backup-simplify: Simplify 0 into 0 1548148018.160 * [misc]backup-simplify: Simplify 0 into 0 1548148018.160 * [misc]backup-simplify: Simplify 0 into 0 1548148018.160 * [misc]backup-simplify: Simplify 0 into 0 1548148018.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.168 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1548148018.168 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.169 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1548148018.169 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.170 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1548148018.173 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1548148018.173 * [misc]taylor: Taking taylor expansion of 0 in k 1548148018.173 * [misc]backup-simplify: Simplify 0 into 0 1548148018.173 * [misc]backup-simplify: Simplify 0 into 0 1548148018.173 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1548148018.174 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1548148018.174 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1548148018.174 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1548148018.174 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548148018.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548148018.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548148018.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.174 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.174 * [misc]taylor: Taking taylor expansion of k in k 1548148018.174 * [misc]backup-simplify: Simplify 0 into 0 1548148018.174 * [misc]backup-simplify: Simplify 1 into 1 1548148018.174 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.174 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.174 * [misc]backup-simplify: Simplify PI into PI 1548148018.175 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.175 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.175 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.175 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.175 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.176 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548148018.176 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548148018.176 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548148018.176 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548148018.176 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.176 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.176 * [misc]taylor: Taking taylor expansion of k in k 1548148018.177 * [misc]backup-simplify: Simplify 0 into 0 1548148018.177 * [misc]backup-simplify: Simplify 1 into 1 1548148018.177 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.177 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.177 * [misc]backup-simplify: Simplify PI into PI 1548148018.177 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.177 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.177 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.177 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.178 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.178 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548148018.179 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1548148018.181 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548148018.181 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548148018.182 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.182 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.183 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548148018.186 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548148018.187 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1548148018.192 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548148018.192 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548148018.192 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.192 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548148018.199 * [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))) 1548148018.200 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1548148018.202 * [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)))) 1548148018.202 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.202 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1548148018.202 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548148018.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548148018.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.202 * [misc]taylor: Taking taylor expansion of k in k 1548148018.202 * [misc]backup-simplify: Simplify 0 into 0 1548148018.202 * [misc]backup-simplify: Simplify 1 into 1 1548148018.203 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.203 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.203 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.203 * [misc]backup-simplify: Simplify PI into PI 1548148018.203 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.203 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.203 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.203 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.204 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548148018.204 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.204 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.204 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of k in k 1548148018.204 * [misc]backup-simplify: Simplify 0 into 0 1548148018.204 * [misc]backup-simplify: Simplify 1 into 1 1548148018.204 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.204 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.204 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.204 * [misc]backup-simplify: Simplify PI into PI 1548148018.204 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.204 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.205 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.205 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.205 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548148018.205 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.205 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.205 * [misc]backup-simplify: Simplify 0 into 0 1548148018.205 * [misc]backup-simplify: Simplify 0 into 0 1548148018.205 * [misc]backup-simplify: Simplify 0 into 0 1548148018.205 * [misc]backup-simplify: Simplify 0 into 0 1548148018.205 * [misc]backup-simplify: Simplify 0 into 0 1548148018.205 * [misc]backup-simplify: Simplify 0 into 0 1548148018.206 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1548148018.206 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.206 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1548148018.206 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.206 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of k in k 1548148018.206 * [misc]backup-simplify: Simplify 0 into 0 1548148018.206 * [misc]backup-simplify: Simplify 1 into 1 1548148018.206 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.206 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.206 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.206 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.206 * [misc]backup-simplify: Simplify PI into PI 1548148018.206 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.206 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.207 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.207 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.207 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.207 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.207 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of k in k 1548148018.207 * [misc]backup-simplify: Simplify 0 into 0 1548148018.207 * [misc]backup-simplify: Simplify 1 into 1 1548148018.207 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.207 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.207 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.208 * [misc]backup-simplify: Simplify PI into PI 1548148018.208 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.208 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.208 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.208 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.209 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.209 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1548148018.209 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1548148018.209 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) 1548148018.209 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1548148018.209 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.209 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.209 * [misc]taylor: Taking taylor expansion of k in k 1548148018.209 * [misc]backup-simplify: Simplify 0 into 0 1548148018.209 * [misc]backup-simplify: Simplify 1 into 1 1548148018.209 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548148018.209 * [misc]taylor: Taking taylor expansion of 2 in k 1548148018.209 * [misc]backup-simplify: Simplify 2 into 2 1548148018.210 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548148018.210 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.210 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.210 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.210 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548148018.210 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1548148018.211 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1548148018.211 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of k in k 1548148018.211 * [misc]backup-simplify: Simplify 0 into 0 1548148018.211 * [misc]backup-simplify: Simplify 1 into 1 1548148018.211 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.211 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548148018.211 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.211 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.212 * [misc]taylor: Taking taylor expansion of k in k 1548148018.212 * [misc]backup-simplify: Simplify 0 into 0 1548148018.212 * [misc]backup-simplify: Simplify 1 into 1 1548148018.212 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548148018.212 * [misc]taylor: Taking taylor expansion of 2 in k 1548148018.212 * [misc]backup-simplify: Simplify 2 into 2 1548148018.212 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548148018.212 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.212 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.212 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.212 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548148018.213 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1548148018.213 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1548148018.213 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1548148018.213 * [misc]taylor: Taking taylor expansion of k in k 1548148018.213 * [misc]backup-simplify: Simplify 0 into 0 1548148018.213 * [misc]backup-simplify: Simplify 1 into 1 1548148018.213 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.213 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548148018.213 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) 0) into 0 1548148018.214 * [misc]backup-simplify: Simplify 0 into 0 1548148018.215 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1548148018.215 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548148018.215 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.215 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1548148018.217 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1548148018.220 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 1548148018.221 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 0)) into (- (* +nan.0 (sqrt 1/2))) 1548148018.222 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1548148018.223 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548148018.225 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1548148018.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548148018.225 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1548148018.228 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1548148018.233 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 1548148018.239 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1548148018.241 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1548148018.242 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548148018.246 * [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 1548148018.246 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1548148018.246 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.246 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.247 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1548148018.252 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1548148018.267 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 1548148018.282 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) +nan.0) (* (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1548148018.289 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1548148018.305 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) (pow k 2)) (* (- (* +nan.0 (sqrt 1/2))) k))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1548148018.305 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1548148018.305 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1548148018.305 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.305 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.305 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.306 * [misc]taylor: Taking taylor expansion of k in k 1548148018.306 * [misc]backup-simplify: Simplify 0 into 0 1548148018.306 * [misc]backup-simplify: Simplify 1 into 1 1548148018.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.306 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548148018.306 * [misc]taylor: Taking taylor expansion of 2 in k 1548148018.306 * [misc]backup-simplify: Simplify 2 into 2 1548148018.306 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548148018.306 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.307 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.307 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.307 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1548148018.307 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1548148018.308 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1548148018.308 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548148018.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.308 * [misc]taylor: Taking taylor expansion of k in k 1548148018.308 * [misc]backup-simplify: Simplify 0 into 0 1548148018.308 * [misc]backup-simplify: Simplify 1 into 1 1548148018.308 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.308 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.309 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548148018.309 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.309 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.309 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of k in k 1548148018.309 * [misc]backup-simplify: Simplify 0 into 0 1548148018.309 * [misc]backup-simplify: Simplify 1 into 1 1548148018.309 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.309 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548148018.309 * [misc]taylor: Taking taylor expansion of 2 in k 1548148018.309 * [misc]backup-simplify: Simplify 2 into 2 1548148018.310 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548148018.310 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.310 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.310 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.310 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1548148018.311 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1548148018.311 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1548148018.311 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1548148018.311 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.311 * [misc]taylor: Taking taylor expansion of k in k 1548148018.311 * [misc]backup-simplify: Simplify 0 into 0 1548148018.311 * [misc]backup-simplify: Simplify 1 into 1 1548148018.311 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.311 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.312 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1548148018.312 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1548148018.312 * [misc]backup-simplify: Simplify 0 into 0 1548148018.313 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1548148018.313 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548148018.314 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548148018.314 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548148018.315 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548148018.316 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1548148018.316 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548148018.317 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548148018.317 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.318 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548148018.319 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1548148018.320 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548148018.320 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1548148018.321 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548148018.322 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.322 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1548148018.322 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548148018.322 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548148018.322 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548148018.322 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.322 * [misc]backup-simplify: Simplify -1 into -1 1548148018.322 * [misc]taylor: Taking taylor expansion of k in k 1548148018.322 * [misc]backup-simplify: Simplify 0 into 0 1548148018.322 * [misc]backup-simplify: Simplify 1 into 1 1548148018.322 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548148018.322 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.323 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548148018.323 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of k in k 1548148018.323 * [misc]backup-simplify: Simplify 0 into 0 1548148018.323 * [misc]backup-simplify: Simplify 1 into 1 1548148018.323 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.323 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548148018.323 * [misc]taylor: Taking taylor expansion of 2 in k 1548148018.323 * [misc]backup-simplify: Simplify 2 into 2 1548148018.324 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548148018.324 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.324 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.324 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548148018.325 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.325 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1548148018.325 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548148018.325 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1548148018.325 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1548148018.325 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.325 * [misc]backup-simplify: Simplify -1 into -1 1548148018.325 * [misc]taylor: Taking taylor expansion of k in k 1548148018.325 * [misc]backup-simplify: Simplify 0 into 0 1548148018.325 * [misc]backup-simplify: Simplify 1 into 1 1548148018.325 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548148018.325 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.326 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1548148018.326 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of k in k 1548148018.326 * [misc]backup-simplify: Simplify 0 into 0 1548148018.326 * [misc]backup-simplify: Simplify 1 into 1 1548148018.326 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.326 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.326 * [misc]taylor: Taking taylor expansion of (log 2) in k 1548148018.326 * [misc]taylor: Taking taylor expansion of 2 in k 1548148018.326 * [misc]backup-simplify: Simplify 2 into 2 1548148018.327 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1548148018.327 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.327 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.327 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1548148018.328 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.328 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1548148018.328 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1548148018.329 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548148018.330 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1548148018.331 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548148018.331 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548148018.332 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.333 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1548148018.334 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548148018.334 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1548148018.336 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (/ 1 (- k))) (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548148018.336 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1548148018.336 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) into (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1548148018.336 * [misc]approximate: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1548148018.336 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1548148018.336 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1548148018.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1548148018.336 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1548148018.336 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548148018.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.336 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548148018.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.336 * [misc]taylor: Taking taylor expansion of k in n 1548148018.337 * [misc]backup-simplify: Simplify k into k 1548148018.337 * [misc]taylor: Taking taylor expansion of (log n) in n 1548148018.337 * [misc]taylor: Taking taylor expansion of n in n 1548148018.337 * [misc]backup-simplify: Simplify 0 into 0 1548148018.337 * [misc]backup-simplify: Simplify 1 into 1 1548148018.337 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.337 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548148018.337 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548148018.337 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548148018.337 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.337 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1548148018.337 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1548148018.338 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1548148018.338 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1548148018.338 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1548148018.338 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1548148018.338 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.338 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1548148018.338 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.338 * [misc]taylor: Taking taylor expansion of k in n 1548148018.338 * [misc]backup-simplify: Simplify k into k 1548148018.338 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.338 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.338 * [misc]backup-simplify: Simplify PI into PI 1548148018.338 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.338 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1548148018.338 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1548148018.339 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1548148018.339 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1548148018.339 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1548148018.339 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548148018.339 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548148018.339 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548148018.339 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548148018.339 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.339 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.339 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.340 * [misc]taylor: Taking taylor expansion of k in k 1548148018.340 * [misc]backup-simplify: Simplify 0 into 0 1548148018.340 * [misc]backup-simplify: Simplify 1 into 1 1548148018.340 * [misc]taylor: Taking taylor expansion of (log n) in k 1548148018.340 * [misc]taylor: Taking taylor expansion of n in k 1548148018.340 * [misc]backup-simplify: Simplify n into n 1548148018.340 * [misc]backup-simplify: Simplify (log n) into (log n) 1548148018.340 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.340 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.340 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.340 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548148018.341 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548148018.341 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548148018.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548148018.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548148018.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.341 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.341 * [misc]taylor: Taking taylor expansion of k in k 1548148018.341 * [misc]backup-simplify: Simplify 0 into 0 1548148018.341 * [misc]backup-simplify: Simplify 1 into 1 1548148018.341 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.341 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.341 * [misc]backup-simplify: Simplify PI into PI 1548148018.341 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.341 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.342 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.342 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.342 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.343 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548148018.343 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.343 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.343 * [misc]taylor: Taking taylor expansion of k in k 1548148018.343 * [misc]backup-simplify: Simplify 0 into 0 1548148018.343 * [misc]backup-simplify: Simplify 1 into 1 1548148018.343 * [misc]taylor: Taking taylor expansion of (log n) in k 1548148018.343 * [misc]taylor: Taking taylor expansion of n in k 1548148018.343 * [misc]backup-simplify: Simplify n into n 1548148018.343 * [misc]backup-simplify: Simplify (log n) into (log n) 1548148018.343 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.344 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.344 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.344 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1548148018.344 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1548148018.344 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1548148018.344 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1548148018.344 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1548148018.344 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1548148018.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.344 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1548148018.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.344 * [misc]taylor: Taking taylor expansion of k in k 1548148018.344 * [misc]backup-simplify: Simplify 0 into 0 1548148018.344 * [misc]backup-simplify: Simplify 1 into 1 1548148018.344 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.344 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.344 * [misc]backup-simplify: Simplify PI into PI 1548148018.345 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.345 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.345 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.345 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.345 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.346 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1548148018.347 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI)) 1548148018.347 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548148018.347 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548148018.347 * [misc]taylor: Taking taylor expansion of n in n 1548148018.347 * [misc]backup-simplify: Simplify 0 into 0 1548148018.347 * [misc]backup-simplify: Simplify 1 into 1 1548148018.347 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.347 * [misc]backup-simplify: Simplify PI into PI 1548148018.347 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548148018.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548148018.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.348 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548148018.348 * [misc]backup-simplify: Simplify 0 into 0 1548148018.351 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548148018.351 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548148018.351 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.351 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.352 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1548148018.355 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1548148018.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1548148018.356 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1548148018.356 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.356 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1548148018.357 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1548148018.359 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt n) (log n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) 1548148018.359 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) in n 1548148018.359 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n)))) in n 1548148018.359 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (log PI))) in n 1548148018.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.359 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log PI)) in n 1548148018.359 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548148018.359 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548148018.359 * [misc]taylor: Taking taylor expansion of n in n 1548148018.359 * [misc]backup-simplify: Simplify 0 into 0 1548148018.359 * [misc]backup-simplify: Simplify 1 into 1 1548148018.359 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.359 * [misc]backup-simplify: Simplify PI into PI 1548148018.359 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548148018.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548148018.360 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.361 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548148018.361 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.361 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.361 * [misc]backup-simplify: Simplify PI into PI 1548148018.361 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.361 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (log n))) in n 1548148018.361 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.361 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1548148018.361 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548148018.361 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548148018.361 * [misc]taylor: Taking taylor expansion of n in n 1548148018.361 * [misc]backup-simplify: Simplify 0 into 0 1548148018.361 * [misc]backup-simplify: Simplify 1 into 1 1548148018.361 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.361 * [misc]backup-simplify: Simplify PI into PI 1548148018.362 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548148018.362 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548148018.362 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.363 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548148018.363 * [misc]taylor: Taking taylor expansion of (log n) in n 1548148018.363 * [misc]taylor: Taking taylor expansion of n in n 1548148018.363 * [misc]backup-simplify: Simplify 0 into 0 1548148018.363 * [misc]backup-simplify: Simplify 1 into 1 1548148018.363 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.364 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1548148018.364 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.364 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.364 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1548148018.364 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1548148018.364 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.365 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.365 * [misc]backup-simplify: Simplify 0 into 0 1548148018.365 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1548148018.370 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548148018.370 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548148018.370 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1548148018.376 * [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))) 1548148018.378 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1548148018.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1548148018.378 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.378 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1548148018.380 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1548148018.383 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) 1548148018.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) in n 1548148018.383 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) in n 1548148018.383 * [misc]taylor: Taking taylor expansion of 1/8 in n 1548148018.383 * [misc]backup-simplify: Simplify 1/8 into 1/8 1548148018.383 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log n) 2)) in n 1548148018.383 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548148018.383 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548148018.383 * [misc]taylor: Taking taylor expansion of n in n 1548148018.383 * [misc]backup-simplify: Simplify 0 into 0 1548148018.383 * [misc]backup-simplify: Simplify 1 into 1 1548148018.383 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.383 * [misc]backup-simplify: Simplify PI into PI 1548148018.383 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548148018.384 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548148018.384 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.385 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548148018.385 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of (log n) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of n in n 1548148018.385 * [misc]backup-simplify: Simplify 0 into 0 1548148018.385 * [misc]backup-simplify: Simplify 1 into 1 1548148018.385 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.385 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2)))) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of 1/4 in n 1548148018.385 * [misc]backup-simplify: Simplify 1/4 into 1/4 1548148018.385 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log PI) (log n))) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548148018.385 * [misc]taylor: Taking taylor expansion of n in n 1548148018.385 * [misc]backup-simplify: Simplify 0 into 0 1548148018.385 * [misc]backup-simplify: Simplify 1 into 1 1548148018.386 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.386 * [misc]backup-simplify: Simplify PI into PI 1548148018.386 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548148018.386 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548148018.387 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.387 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548148018.387 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1548148018.387 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.387 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.387 * [misc]backup-simplify: Simplify PI into PI 1548148018.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.387 * [misc]taylor: Taking taylor expansion of (log n) in n 1548148018.387 * [misc]taylor: Taking taylor expansion of n in n 1548148018.387 * [misc]backup-simplify: Simplify 0 into 0 1548148018.388 * [misc]backup-simplify: Simplify 1 into 1 1548148018.388 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.388 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))) in n 1548148018.388 * [misc]taylor: Taking taylor expansion of 1/8 in n 1548148018.388 * [misc]backup-simplify: Simplify 1/8 into 1/8 1548148018.388 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log PI) 2)) in n 1548148018.388 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1548148018.388 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1548148018.388 * [misc]taylor: Taking taylor expansion of n in n 1548148018.388 * [misc]backup-simplify: Simplify 0 into 0 1548148018.388 * [misc]backup-simplify: Simplify 1 into 1 1548148018.388 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.388 * [misc]backup-simplify: Simplify PI into PI 1548148018.388 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1548148018.389 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1548148018.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1548148018.389 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1548148018.390 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1548148018.390 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.390 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.390 * [misc]backup-simplify: Simplify PI into PI 1548148018.390 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.390 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.392 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.392 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1548148018.392 * [misc]backup-simplify: Simplify (* 0 (pow (log n) 2)) into 0 1548148018.392 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1548148018.392 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.393 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1548148018.393 * [misc]backup-simplify: Simplify (* 0 (* (log PI) (log n))) into 0 1548148018.393 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1548148018.394 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1548148018.395 * [misc]backup-simplify: Simplify (* 0 (pow (log PI) 2)) into 0 1548148018.395 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1548148018.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.395 * [misc]backup-simplify: Simplify 0 into 0 1548148018.397 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548148018.398 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log PI))) into (- (* +nan.0 (* (log PI) PI))) 1548148018.399 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log PI) PI)))) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1548148018.400 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548148018.400 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1548148018.401 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log n))) into (- (* +nan.0 (* PI (log n)))) 1548148018.401 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* PI (log n))))) (* 0 0)) into (- (* +nan.0 (* PI (log n)))) 1548148018.402 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log PI) PI))) (- (* +nan.0 (* PI (log n))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1548148018.402 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n))))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1548148018.403 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1548148018.404 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1548148018.404 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1548148018.405 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1548148018.406 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (* +nan.0 (* n PI))))))))) 1548148018.406 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ 1 (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548148018.406 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1548148018.406 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548148018.406 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548148018.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548148018.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548148018.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548148018.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.407 * [misc]taylor: Taking taylor expansion of k in n 1548148018.407 * [misc]backup-simplify: Simplify k into k 1548148018.407 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.407 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.407 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.407 * [misc]backup-simplify: Simplify PI into PI 1548148018.407 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.407 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.407 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548148018.407 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548148018.408 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548148018.408 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.408 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of k in n 1548148018.408 * [misc]backup-simplify: Simplify k into k 1548148018.408 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.408 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548148018.408 * [misc]taylor: Taking taylor expansion of n in n 1548148018.408 * [misc]backup-simplify: Simplify 0 into 0 1548148018.408 * [misc]backup-simplify: Simplify 1 into 1 1548148018.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.408 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.408 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548148018.409 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548148018.409 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.409 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548148018.409 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1548148018.409 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of k in k 1548148018.409 * [misc]backup-simplify: Simplify 0 into 0 1548148018.409 * [misc]backup-simplify: Simplify 1 into 1 1548148018.409 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.409 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.409 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.409 * [misc]backup-simplify: Simplify PI into PI 1548148018.410 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.410 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.410 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.410 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.410 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548148018.410 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.410 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.410 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1548148018.410 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1548148018.410 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.411 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.411 * [misc]taylor: Taking taylor expansion of k in k 1548148018.411 * [misc]backup-simplify: Simplify 0 into 0 1548148018.411 * [misc]backup-simplify: Simplify 1 into 1 1548148018.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.411 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1548148018.411 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1548148018.411 * [misc]taylor: Taking taylor expansion of n in k 1548148018.411 * [misc]backup-simplify: Simplify n into n 1548148018.411 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1548148018.411 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1548148018.411 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.411 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.411 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.411 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1548148018.411 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.412 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of k in k 1548148018.412 * [misc]backup-simplify: Simplify 0 into 0 1548148018.412 * [misc]backup-simplify: Simplify 1 into 1 1548148018.412 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.412 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.412 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.412 * [misc]backup-simplify: Simplify PI into PI 1548148018.412 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.412 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.412 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.412 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.413 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1548148018.413 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.413 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.413 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of k in k 1548148018.413 * [misc]backup-simplify: Simplify 0 into 0 1548148018.413 * [misc]backup-simplify: Simplify 1 into 1 1548148018.413 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.413 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1548148018.413 * [misc]taylor: Taking taylor expansion of n in k 1548148018.413 * [misc]backup-simplify: Simplify n into n 1548148018.413 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1548148018.413 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1548148018.413 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.414 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1548148018.414 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1548148018.414 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1548148018.414 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.414 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1548148018.414 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of k in n 1548148018.414 * [misc]backup-simplify: Simplify k into k 1548148018.414 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.414 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.414 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.414 * [misc]backup-simplify: Simplify PI into PI 1548148018.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.415 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.415 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548148018.415 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548148018.415 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1548148018.415 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1548148018.415 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of k in n 1548148018.415 * [misc]backup-simplify: Simplify k into k 1548148018.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.415 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1548148018.415 * [misc]taylor: Taking taylor expansion of n in n 1548148018.415 * [misc]backup-simplify: Simplify 0 into 0 1548148018.415 * [misc]backup-simplify: Simplify 1 into 1 1548148018.416 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.416 * [misc]backup-simplify: Simplify (log 1) into 0 1548148018.416 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.416 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1548148018.416 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1548148018.416 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.416 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1548148018.416 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1548148018.416 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1548148018.417 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1548148018.417 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1548148018.417 * [misc]taylor: Taking taylor expansion of 0 in n 1548148018.417 * [misc]backup-simplify: Simplify 0 into 0 1548148018.417 * [misc]backup-simplify: Simplify 0 into 0 1548148018.417 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1548148018.418 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1548148018.418 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548148018.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548148018.419 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.419 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.419 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1548148018.420 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.422 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548148018.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548148018.422 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548148018.422 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.423 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1548148018.423 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.424 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1548148018.424 * [misc]backup-simplify: Simplify 0 into 0 1548148018.424 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1548148018.424 * [misc]taylor: Taking taylor expansion of 0 in n 1548148018.424 * [misc]backup-simplify: Simplify 0 into 0 1548148018.424 * [misc]backup-simplify: Simplify 0 into 0 1548148018.424 * [misc]backup-simplify: Simplify 0 into 0 1548148018.424 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.428 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1548148018.428 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548148018.429 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1548148018.430 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1548148018.432 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.436 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548148018.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548148018.436 * [misc]backup-simplify: Simplify (- 0) into 0 1548148018.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.438 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1548148018.440 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.440 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1548148018.440 * [misc]backup-simplify: Simplify 0 into 0 1548148018.441 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1548148018.441 * [misc]taylor: Taking taylor expansion of 0 in n 1548148018.441 * [misc]backup-simplify: Simplify 0 into 0 1548148018.441 * [misc]backup-simplify: Simplify 0 into 0 1548148018.441 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548148018.441 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ 1 (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.442 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1548148018.442 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.442 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of k in n 1548148018.442 * [misc]backup-simplify: Simplify k into k 1548148018.442 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.442 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548148018.442 * [misc]taylor: Taking taylor expansion of -1 in n 1548148018.442 * [misc]backup-simplify: Simplify -1 into -1 1548148018.442 * [misc]taylor: Taking taylor expansion of n in n 1548148018.442 * [misc]backup-simplify: Simplify 0 into 0 1548148018.442 * [misc]backup-simplify: Simplify 1 into 1 1548148018.442 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548148018.443 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548148018.443 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.443 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548148018.443 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.443 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1548148018.444 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1548148018.444 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of k in n 1548148018.444 * [misc]backup-simplify: Simplify k into k 1548148018.444 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.444 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.444 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.444 * [misc]backup-simplify: Simplify PI into PI 1548148018.445 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.445 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.445 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548148018.445 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548148018.446 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.446 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.446 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of k in k 1548148018.446 * [misc]backup-simplify: Simplify 0 into 0 1548148018.446 * [misc]backup-simplify: Simplify 1 into 1 1548148018.446 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.446 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1548148018.446 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.446 * [misc]backup-simplify: Simplify -1 into -1 1548148018.446 * [misc]taylor: Taking taylor expansion of n in k 1548148018.447 * [misc]backup-simplify: Simplify n into n 1548148018.447 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1548148018.447 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1548148018.447 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.447 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1548148018.447 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.447 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.447 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548148018.447 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548148018.447 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.448 * [misc]taylor: Taking taylor expansion of k in k 1548148018.448 * [misc]backup-simplify: Simplify 0 into 0 1548148018.448 * [misc]backup-simplify: Simplify 1 into 1 1548148018.448 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.448 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.448 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.448 * [misc]backup-simplify: Simplify PI into PI 1548148018.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.448 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.448 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.449 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.449 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.449 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1548148018.449 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.449 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1548148018.449 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1548148018.449 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.449 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.450 * [misc]taylor: Taking taylor expansion of k in k 1548148018.450 * [misc]backup-simplify: Simplify 0 into 0 1548148018.450 * [misc]backup-simplify: Simplify 1 into 1 1548148018.450 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.450 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1548148018.450 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1548148018.450 * [misc]taylor: Taking taylor expansion of -1 in k 1548148018.450 * [misc]backup-simplify: Simplify -1 into -1 1548148018.450 * [misc]taylor: Taking taylor expansion of n in k 1548148018.450 * [misc]backup-simplify: Simplify n into n 1548148018.450 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1548148018.450 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1548148018.450 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.450 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.451 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1548148018.451 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.451 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.451 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of k in k 1548148018.451 * [misc]backup-simplify: Simplify 0 into 0 1548148018.451 * [misc]backup-simplify: Simplify 1 into 1 1548148018.451 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1548148018.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1548148018.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.451 * [misc]taylor: Taking taylor expansion of (log PI) in k 1548148018.451 * [misc]taylor: Taking taylor expansion of PI in k 1548148018.451 * [misc]backup-simplify: Simplify PI into PI 1548148018.452 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.452 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1548148018.452 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1548148018.452 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1548148018.453 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.453 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.453 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.453 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.453 * [misc]taylor: Taking taylor expansion of k in n 1548148018.453 * [misc]backup-simplify: Simplify k into k 1548148018.454 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.454 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.454 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1548148018.454 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1548148018.454 * [misc]taylor: Taking taylor expansion of -1 in n 1548148018.454 * [misc]backup-simplify: Simplify -1 into -1 1548148018.454 * [misc]taylor: Taking taylor expansion of n in n 1548148018.454 * [misc]backup-simplify: Simplify 0 into 0 1548148018.454 * [misc]backup-simplify: Simplify 1 into 1 1548148018.454 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1548148018.454 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1548148018.454 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.454 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548148018.455 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.455 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1548148018.455 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1548148018.455 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1548148018.455 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1548148018.455 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1548148018.455 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1548148018.455 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1548148018.455 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.456 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1548148018.456 * [misc]taylor: Taking taylor expansion of k in n 1548148018.456 * [misc]backup-simplify: Simplify k into k 1548148018.456 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1548148018.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1548148018.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1548148018.456 * [misc]taylor: Taking taylor expansion of (log PI) in n 1548148018.456 * [misc]taylor: Taking taylor expansion of PI in n 1548148018.456 * [misc]backup-simplify: Simplify PI into PI 1548148018.456 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1548148018.456 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1548148018.456 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1548148018.457 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1548148018.457 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1548148018.458 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.458 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1548148018.458 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1548148018.459 * [misc]taylor: Taking taylor expansion of 0 in n 1548148018.459 * [misc]backup-simplify: Simplify 0 into 0 1548148018.459 * [misc]backup-simplify: Simplify 0 into 0 1548148018.461 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1548148018.461 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548148018.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548148018.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.462 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1548148018.464 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.464 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1548148018.466 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1548148018.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1548148018.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1548148018.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.467 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.468 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1548148018.469 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1548148018.469 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1548148018.469 * [misc]backup-simplify: Simplify 0 into 0 1548148018.469 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548148018.469 * [misc]taylor: Taking taylor expansion of 0 in n 1548148018.469 * [misc]backup-simplify: Simplify 0 into 0 1548148018.469 * [misc]backup-simplify: Simplify 0 into 0 1548148018.469 * [misc]backup-simplify: Simplify 0 into 0 1548148018.472 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1548148018.473 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.473 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548148018.473 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.473 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1548148018.475 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.475 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1548148018.477 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1548148018.477 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1548148018.478 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1548148018.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1548148018.478 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1548148018.478 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1548148018.480 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1548148018.480 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1548148018.480 * [misc]backup-simplify: Simplify 0 into 0 1548148018.480 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1548148018.480 * [misc]taylor: Taking taylor expansion of 0 in n 1548148018.480 * [misc]backup-simplify: Simplify 0 into 0 1548148018.480 * [misc]backup-simplify: Simplify 0 into 0 1548148018.481 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548148018.481 * * * [misc]progress: simplifying candidates 1548148018.481 * * * * [misc]progress: [ 1 / 131 ] simplifiying candidate # 1548148018.481 * * * * [misc]progress: [ 2 / 131 ] simplifiying candidate # 1548148018.481 * [enter]simplify: Simplifying (pow n (/ k 2)) 1548148018.481 * * [misc]simplify: iters left: 3 (5 enodes) 1548148018.482 * [exit]simplify: Simplified to (pow n (/ k 2)) 1548148018.482 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (/ (pow n 1/2) (pow n (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.482 * * * * [misc]progress: [ 3 / 131 ] simplifiying candidate # 1548148018.482 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548148018.482 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.483 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.484 * * [misc]simplify: iters left: 3 (11 enodes) 1548148018.485 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548148018.485 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.486 * * * * [misc]progress: [ 4 / 131 ] simplifiying candidate # 1548148018.486 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548148018.486 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.487 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.488 * * [misc]simplify: iters left: 3 (11 enodes) 1548148018.489 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548148018.489 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.489 * * * * [misc]progress: [ 5 / 131 ] simplifiying candidate # 1548148018.489 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548148018.489 * * [misc]simplify: iters left: 4 (5 enodes) 1548148018.490 * * [misc]simplify: iters left: 3 (7 enodes) 1548148018.491 * * [misc]simplify: iters left: 2 (10 enodes) 1548148018.492 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548148018.492 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (pow n 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.492 * * * * [misc]progress: [ 6 / 131 ] simplifiying candidate # 1548148018.492 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1548148018.492 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.493 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.494 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1548148018.494 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (pow n 1/2) (pow n (/ (- k) 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.494 * * * * [misc]progress: [ 7 / 131 ] simplifiying candidate # 1548148018.495 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1548148018.495 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.496 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.498 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1548148018.498 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (pow n 1/2) (pow n (/ (- k) 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.498 * * * * [misc]progress: [ 8 / 131 ] simplifiying candidate # 1548148018.498 * * * * [misc]progress: [ 9 / 131 ] simplifiying candidate # 1548148018.498 * * * * [misc]progress: [ 10 / 131 ] simplifiying candidate # 1548148018.499 * * * * [misc]progress: [ 11 / 131 ] simplifiying candidate # 1548148018.499 * * * * [misc]progress: [ 12 / 131 ] simplifiying candidate # 1548148018.499 * * * * [misc]progress: [ 13 / 131 ] simplifiying candidate # 1548148018.499 * * * * [misc]progress: [ 14 / 131 ] simplifiying candidate # 1548148018.499 * * * * [misc]progress: [ 15 / 131 ] simplifiying candidate # 1548148018.499 * * * * [misc]progress: [ 16 / 131 ] simplifiying candidate # 1548148018.499 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1548148018.499 * * [misc]simplify: iters left: 3 (5 enodes) 1548148018.501 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1548148018.501 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.501 * * * * [misc]progress: [ 17 / 131 ] simplifiying candidate # 1548148018.501 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1548148018.501 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.503 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.505 * * [misc]simplify: iters left: 3 (11 enodes) 1548148018.508 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1548148018.508 * [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)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.508 * * * * [misc]progress: [ 18 / 131 ] simplifiying candidate # 1548148018.509 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1548148018.509 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.510 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.512 * * [misc]simplify: iters left: 3 (11 enodes) 1548148018.517 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1548148018.517 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.517 * * * * [misc]progress: [ 19 / 131 ] simplifiying candidate # 1548148018.517 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1548148018.517 * * [misc]simplify: iters left: 4 (5 enodes) 1548148018.519 * * [misc]simplify: iters left: 3 (7 enodes) 1548148018.520 * * [misc]simplify: iters left: 2 (10 enodes) 1548148018.523 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1548148018.523 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.523 * * * * [misc]progress: [ 20 / 131 ] simplifiying candidate # 1548148018.523 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548148018.523 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.525 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.527 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548148018.527 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.527 * * * * [misc]progress: [ 21 / 131 ] simplifiying candidate # 1548148018.527 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1548148018.528 * * [misc]simplify: iters left: 5 (6 enodes) 1548148018.529 * * [misc]simplify: iters left: 4 (8 enodes) 1548148018.531 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1548148018.531 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148018.531 * * * * [misc]progress: [ 22 / 131 ] simplifiying candidate # 1548148018.531 * * * * [misc]progress: [ 23 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 24 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 25 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 26 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 27 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 28 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 29 / 131 ] simplifiying candidate # 1548148018.532 * * * * [misc]progress: [ 30 / 131 ] simplifiying candidate # 1548148018.532 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))) 1548148018.532 * * [misc]simplify: iters left: 6 (10 enodes) 1548148018.536 * * [misc]simplify: iters left: 5 (15 enodes) 1548148018.541 * * [misc]simplify: iters left: 4 (31 enodes) 1548148018.551 * * [misc]simplify: iters left: 3 (64 enodes) 1548148018.569 * * [misc]simplify: iters left: 2 (110 enodes) 1548148018.600 * * [misc]simplify: iters left: 1 (153 enodes) 1548148018.638 * [exit]simplify: Simplified to (+ (* (log 2) (+ -1/2 (/ k 2))) (log (sqrt k))) 1548148018.638 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (exp (+ (* (log 2) (+ -1/2 (/ k 2))) (log (sqrt k)))))) 1548148018.638 * * * * [misc]progress: [ 31 / 131 ] simplifiying candidate # 1548148018.639 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))) 1548148018.639 * * [misc]simplify: iters left: 6 (10 enodes) 1548148018.642 * * [misc]simplify: iters left: 5 (16 enodes) 1548148018.649 * * [misc]simplify: iters left: 4 (25 enodes) 1548148018.657 * * [misc]simplify: iters left: 3 (40 enodes) 1548148018.669 * * [misc]simplify: iters left: 2 (85 enodes) 1548148018.693 * * [misc]simplify: iters left: 1 (127 enodes) 1548148018.728 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (log 2)) (log (sqrt k))) 1548148018.728 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (exp (+ (* (+ (/ k 2) -1/2) (log 2)) (log (sqrt k)))))) 1548148018.728 * * * * [misc]progress: [ 32 / 131 ] simplifiying candidate # 1548148018.728 * * * * [misc]progress: [ 33 / 131 ] simplifiying candidate # 1548148018.729 * * * * [misc]progress: [ 34 / 131 ] simplifiying candidate # 1548148018.729 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1548148018.729 * * [misc]simplify: iters left: 6 (12 enodes) 1548148018.733 * * [misc]simplify: iters left: 5 (23 enodes) 1548148018.740 * * [misc]simplify: iters left: 4 (56 enodes) 1548148018.759 * * [misc]simplify: iters left: 3 (118 enodes) 1548148018.781 * * [misc]simplify: iters left: 2 (201 enodes) 1548148018.850 * * [misc]simplify: iters left: 1 (281 enodes) 1548148018.938 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1548148018.938 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1548148018.938 * * * * [misc]progress: [ 35 / 131 ] simplifiying candidate # 1548148018.938 * * * * [misc]progress: [ 36 / 131 ] simplifiying candidate # 1548148018.938 * * * * [misc]progress: [ 37 / 131 ] simplifiying candidate # 1548148018.938 * * * * [misc]progress: [ 38 / 131 ] simplifiying candidate # 1548148018.938 * * * * [misc]progress: [ 39 / 131 ] simplifiying candidate # 1548148018.938 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1548148018.938 * * [misc]simplify: iters left: 6 (8 enodes) 1548148018.941 * * [misc]simplify: iters left: 5 (11 enodes) 1548148018.942 * * [misc]simplify: iters left: 4 (13 enodes) 1548148018.945 * * [misc]simplify: iters left: 3 (14 enodes) 1548148018.947 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1548148018.947 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548148018.947 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548148018.947 * * [misc]simplify: iters left: 6 (8 enodes) 1548148018.949 * * [misc]simplify: iters left: 5 (10 enodes) 1548148018.950 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548148018.950 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548148018.950 * * * * [misc]progress: [ 40 / 131 ] simplifiying candidate # 1548148018.950 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1548148018.950 * * [misc]simplify: iters left: 6 (8 enodes) 1548148018.952 * * [misc]simplify: iters left: 5 (11 enodes) 1548148018.956 * * [misc]simplify: iters left: 4 (13 enodes) 1548148018.960 * * [misc]simplify: iters left: 3 (14 enodes) 1548148018.965 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1548148018.965 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548148018.965 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548148018.965 * * [misc]simplify: iters left: 6 (8 enodes) 1548148018.968 * * [misc]simplify: iters left: 5 (10 enodes) 1548148018.970 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548148018.970 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548148018.970 * * * * [misc]progress: [ 41 / 131 ] simplifiying candidate # 1548148018.971 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548148018.971 * * [misc]simplify: iters left: 6 (12 enodes) 1548148018.974 * * [misc]simplify: iters left: 5 (20 enodes) 1548148018.980 * * [misc]simplify: iters left: 4 (32 enodes) 1548148018.989 * * [misc]simplify: iters left: 3 (35 enodes) 1548148018.997 * * [misc]simplify: iters left: 2 (38 enodes) 1548148019.004 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548148019.004 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.005 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.005 * * [misc]simplify: iters left: 6 (10 enodes) 1548148019.006 * * [misc]simplify: iters left: 5 (12 enodes) 1548148019.008 * * [misc]simplify: iters left: 4 (15 enodes) 1548148019.010 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.010 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.010 * * * * [misc]progress: [ 42 / 131 ] simplifiying candidate # 1548148019.010 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.010 * * [misc]simplify: iters left: 6 (11 enodes) 1548148019.011 * * [misc]simplify: iters left: 5 (15 enodes) 1548148019.014 * * [misc]simplify: iters left: 4 (20 enodes) 1548148019.016 * * [misc]simplify: iters left: 3 (21 enodes) 1548148019.019 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.019 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.019 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.019 * * [misc]simplify: iters left: 6 (10 enodes) 1548148019.020 * * [misc]simplify: iters left: 5 (12 enodes) 1548148019.022 * * [misc]simplify: iters left: 4 (15 enodes) 1548148019.024 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.024 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.024 * * * * [misc]progress: [ 43 / 131 ] simplifiying candidate # 1548148019.024 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1548148019.024 * * [misc]simplify: iters left: 6 (6 enodes) 1548148019.025 * * [misc]simplify: iters left: 5 (10 enodes) 1548148019.027 * * [misc]simplify: iters left: 4 (16 enodes) 1548148019.028 * * [misc]simplify: iters left: 3 (18 enodes) 1548148019.032 * * [misc]simplify: iters left: 2 (23 enodes) 1548148019.037 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548148019.037 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148019.037 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148019.037 * * [misc]simplify: iters left: 6 (9 enodes) 1548148019.040 * * [misc]simplify: iters left: 5 (11 enodes) 1548148019.043 * * [misc]simplify: iters left: 4 (14 enodes) 1548148019.047 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148019.047 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148019.047 * * * * [misc]progress: [ 44 / 131 ] simplifiying candidate # 1548148019.048 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1548148019.048 * * [misc]simplify: iters left: 4 (7 enodes) 1548148019.051 * * [misc]simplify: iters left: 3 (8 enodes) 1548148019.054 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1548148019.054 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548148019.054 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548148019.054 * * [misc]simplify: iters left: 6 (8 enodes) 1548148019.056 * * [misc]simplify: iters left: 5 (10 enodes) 1548148019.059 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548148019.059 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548148019.059 * * * * [misc]progress: [ 45 / 131 ] simplifiying candidate # 1548148019.059 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1548148019.059 * * [misc]simplify: iters left: 4 (7 enodes) 1548148019.062 * * [misc]simplify: iters left: 3 (8 enodes) 1548148019.065 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1548148019.065 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1548148019.065 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1548148019.066 * * [misc]simplify: iters left: 6 (8 enodes) 1548148019.068 * * [misc]simplify: iters left: 5 (10 enodes) 1548148019.070 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1548148019.070 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1548148019.071 * * * * [misc]progress: [ 46 / 131 ] simplifiying candidate # 1548148019.071 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548148019.071 * * [misc]simplify: iters left: 6 (11 enodes) 1548148019.074 * * [misc]simplify: iters left: 5 (15 enodes) 1548148019.078 * * [misc]simplify: iters left: 4 (18 enodes) 1548148019.083 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548148019.083 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.083 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.084 * * [misc]simplify: iters left: 6 (10 enodes) 1548148019.086 * * [misc]simplify: iters left: 5 (12 enodes) 1548148019.089 * * [misc]simplify: iters left: 4 (15 enodes) 1548148019.093 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.093 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.093 * * * * [misc]progress: [ 47 / 131 ] simplifiying candidate # 1548148019.093 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.093 * * [misc]simplify: iters left: 6 (10 enodes) 1548148019.094 * * [misc]simplify: iters left: 5 (12 enodes) 1548148019.096 * * [misc]simplify: iters left: 4 (15 enodes) 1548148019.098 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.098 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.098 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.098 * * [misc]simplify: iters left: 6 (10 enodes) 1548148019.100 * * [misc]simplify: iters left: 5 (12 enodes) 1548148019.101 * * [misc]simplify: iters left: 4 (15 enodes) 1548148019.103 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.103 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.103 * * * * [misc]progress: [ 48 / 131 ] simplifiying candidate # 1548148019.103 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1548148019.103 * * [misc]simplify: iters left: 4 (5 enodes) 1548148019.104 * * [misc]simplify: iters left: 3 (7 enodes) 1548148019.105 * * [misc]simplify: iters left: 2 (9 enodes) 1548148019.106 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548148019.106 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148019.106 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148019.106 * * [misc]simplify: iters left: 6 (9 enodes) 1548148019.107 * * [misc]simplify: iters left: 5 (11 enodes) 1548148019.110 * * [misc]simplify: iters left: 4 (14 enodes) 1548148019.112 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1548148019.112 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1548148019.112 * * * * [misc]progress: [ 49 / 131 ] simplifiying candidate # 1548148019.113 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1548148019.113 * * [misc]simplify: iters left: 3 (5 enodes) 1548148019.114 * * [misc]simplify: iters left: 2 (8 enodes) 1548148019.115 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1548148019.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1548148019.116 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1548148019.116 * * [misc]simplify: iters left: 6 (7 enodes) 1548148019.117 * * [misc]simplify: iters left: 5 (9 enodes) 1548148019.118 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1548148019.118 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1548148019.118 * * * * [misc]progress: [ 50 / 131 ] simplifiying candidate # 1548148019.118 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1548148019.118 * * [misc]simplify: iters left: 3 (5 enodes) 1548148019.119 * * [misc]simplify: iters left: 2 (8 enodes) 1548148019.120 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1548148019.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1548148019.121 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1548148019.121 * * [misc]simplify: iters left: 6 (7 enodes) 1548148019.122 * * [misc]simplify: iters left: 5 (9 enodes) 1548148019.123 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1548148019.123 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1548148019.123 * * * * [misc]progress: [ 51 / 131 ] simplifiying candidate # 1548148019.123 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548148019.123 * * [misc]simplify: iters left: 6 (10 enodes) 1548148019.124 * * [misc]simplify: iters left: 5 (16 enodes) 1548148019.126 * * [misc]simplify: iters left: 4 (19 enodes) 1548148019.129 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1548148019.129 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.129 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.129 * * [misc]simplify: iters left: 6 (9 enodes) 1548148019.130 * * [misc]simplify: iters left: 5 (11 enodes) 1548148019.132 * * [misc]simplify: iters left: 4 (14 enodes) 1548148019.133 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.133 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.133 * * * * [misc]progress: [ 52 / 131 ] simplifiying candidate # 1548148019.134 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.134 * * [misc]simplify: iters left: 6 (9 enodes) 1548148019.135 * * [misc]simplify: iters left: 5 (13 enodes) 1548148019.137 * * [misc]simplify: iters left: 4 (16 enodes) 1548148019.140 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.141 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.141 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.141 * * [misc]simplify: iters left: 6 (9 enodes) 1548148019.143 * * [misc]simplify: iters left: 5 (11 enodes) 1548148019.146 * * [misc]simplify: iters left: 4 (14 enodes) 1548148019.150 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1548148019.150 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1548148019.150 * * * * [misc]progress: [ 53 / 131 ] simplifiying candidate # 1548148019.150 * [enter]simplify: Simplifying (/ 1 1) 1548148019.150 * * [misc]simplify: iters left: 2 (2 enodes) 1548148019.151 * * [misc]simplify: iters left: 1 (4 enodes) 1548148019.152 * [exit]simplify: Simplified to 1 1548148019.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148019.152 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548148019.152 * * [misc]simplify: iters left: 6 (8 enodes) 1548148019.155 * * [misc]simplify: iters left: 5 (10 enodes) 1548148019.157 * * [misc]simplify: iters left: 4 (13 enodes) 1548148019.161 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1548148019.161 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1548148019.161 * * * * [misc]progress: [ 54 / 131 ] simplifiying candidate # 1548148019.161 * * * * [misc]progress: [ 55 / 131 ] simplifiying candidate # 1548148019.161 * * * * [misc]progress: [ 56 / 131 ] simplifiying candidate # 1548148019.161 * * * * [misc]progress: [ 57 / 131 ] simplifiying candidate # 1548148019.161 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1548148019.161 * * [misc]simplify: iters left: 5 (5 enodes) 1548148019.163 * * [misc]simplify: iters left: 4 (7 enodes) 1548148019.165 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1548148019.165 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2)))))) 1548148019.165 * * * * [misc]progress: [ 58 / 131 ] simplifiying candidate # 1548148019.165 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1548148019.165 * * [misc]simplify: iters left: 5 (5 enodes) 1548148019.167 * * [misc]simplify: iters left: 4 (7 enodes) 1548148019.169 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1548148019.169 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2)))))) 1548148019.169 * * * * [misc]progress: [ 59 / 131 ] simplifiying candidate # 1548148019.169 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1548148019.169 * * [misc]simplify: iters left: 6 (7 enodes) 1548148019.171 * * [misc]simplify: iters left: 5 (9 enodes) 1548148019.174 * * [misc]simplify: iters left: 4 (12 enodes) 1548148019.177 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1548148019.177 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1548148019.177 * * * * [misc]progress: [ 60 / 131 ] simplifiying candidate # 1548148019.177 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1548148019.177 * * [misc]simplify: iters left: 6 (7 enodes) 1548148019.179 * * [misc]simplify: iters left: 5 (9 enodes) 1548148019.182 * * [misc]simplify: iters left: 4 (12 enodes) 1548148019.185 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1548148019.185 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2))))))) 1548148019.185 * * * * [misc]progress: [ 61 / 131 ] simplifiying candidate # 1548148019.185 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1548148019.185 * * [misc]simplify: iters left: 5 (6 enodes) 1548148019.187 * * [misc]simplify: iters left: 4 (8 enodes) 1548148019.189 * * [misc]simplify: iters left: 3 (11 enodes) 1548148019.192 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1548148019.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow 2 (- 1/2 (/ k 2)))))) 1548148019.192 * * * * [misc]progress: [ 62 / 131 ] simplifiying candidate # 1548148019.192 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548148019.192 * * [misc]simplify: iters left: 4 (4 enodes) 1548148019.194 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1548148019.194 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1548148019.194 * * * * [misc]progress: [ 63 / 131 ] simplifiying candidate # 1548148019.194 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1548148019.194 * * [misc]simplify: iters left: 2 (3 enodes) 1548148019.195 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1548148019.195 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1548148019.195 * * * * [misc]progress: [ 64 / 131 ] simplifiying candidate # 1548148019.195 * * * * [misc]progress: [ 65 / 131 ] simplifiying candidate # 1548148019.195 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1548148019.195 * * [misc]simplify: iters left: 3 (4 enodes) 1548148019.196 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1548148019.196 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow 2 1/2)) (pow 2 (/ k 2))))) 1548148019.196 * * * * [misc]progress: [ 66 / 131 ] simplifiying candidate # 1548148019.197 * * * * [misc]progress: [ 67 / 131 ] simplifiying candidate # 1548148019.197 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (* (log n) (- 1/2 (/ k 2))))) 1548148019.197 * * [misc]simplify: iters left: 6 (13 enodes) 1548148019.201 * * [misc]simplify: iters left: 5 (23 enodes) 1548148019.208 * * [misc]simplify: iters left: 4 (57 enodes) 1548148019.232 * * [misc]simplify: iters left: 3 (155 enodes) 1548148019.260 * * [misc]simplify: iters left: 2 (329 enodes) 1548148019.397 * [exit]simplify: Simplified to (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) 1548148019.397 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log PI) (log n)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148019.397 * * * * [misc]progress: [ 68 / 131 ] simplifiying candidate # 1548148019.398 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (pow n (- 1/2 (/ k 2)))))) 1548148019.398 * * [misc]simplify: iters left: 6 (13 enodes) 1548148019.402 * * [misc]simplify: iters left: 5 (20 enodes) 1548148019.408 * * [misc]simplify: iters left: 4 (34 enodes) 1548148019.419 * * [misc]simplify: iters left: 3 (76 enodes) 1548148019.446 * * [misc]simplify: iters left: 2 (195 enodes) 1548148019.530 * * [misc]simplify: iters left: 1 (454 enodes) 1548148019.672 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) 1548148019.672 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log n) (log PI)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148019.672 * * * * [misc]progress: [ 69 / 131 ] simplifiying candidate # 1548148019.672 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148019.672 * * [misc]simplify: iters left: 6 (14 enodes) 1548148019.677 * * [misc]simplify: iters left: 5 (25 enodes) 1548148019.684 * * [misc]simplify: iters left: 4 (36 enodes) 1548148019.694 * * [misc]simplify: iters left: 3 (61 enodes) 1548148019.712 * * [misc]simplify: iters left: 2 (122 enodes) 1548148019.769 * * [misc]simplify: iters left: 1 (291 enodes) 1548148019.854 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) 1548148019.854 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log n) (log PI)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148019.854 * * * * [misc]progress: [ 70 / 131 ] simplifiying candidate # 1548148019.854 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (* (log n) (- 1/2 (/ k 2))))) 1548148019.854 * * [misc]simplify: iters left: 6 (13 enodes) 1548148019.856 * * [misc]simplify: iters left: 5 (24 enodes) 1548148019.860 * * [misc]simplify: iters left: 4 (51 enodes) 1548148019.870 * * [misc]simplify: iters left: 3 (140 enodes) 1548148019.903 * * [misc]simplify: iters left: 2 (313 enodes) 1548148019.982 * [exit]simplify: Simplified to (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) 1548148019.982 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148019.982 * * * * [misc]progress: [ 71 / 131 ] simplifiying candidate # 1548148019.982 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow n (- 1/2 (/ k 2)))))) 1548148019.982 * * [misc]simplify: iters left: 6 (13 enodes) 1548148019.984 * * [misc]simplify: iters left: 5 (21 enodes) 1548148019.987 * * [misc]simplify: iters left: 4 (30 enodes) 1548148019.991 * * [misc]simplify: iters left: 3 (62 enodes) 1548148020.017 * * [misc]simplify: iters left: 2 (153 enodes) 1548148020.073 * * [misc]simplify: iters left: 1 (377 enodes) 1548148020.585 * [exit]simplify: Simplified to (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) 1548148020.585 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148020.585 * * * * [misc]progress: [ 72 / 131 ] simplifiying candidate # 1548148020.585 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148020.585 * * [misc]simplify: iters left: 6 (14 enodes) 1548148020.590 * * [misc]simplify: iters left: 5 (26 enodes) 1548148020.596 * * [misc]simplify: iters left: 4 (32 enodes) 1548148020.607 * * [misc]simplify: iters left: 3 (47 enodes) 1548148020.618 * * [misc]simplify: iters left: 2 (99 enodes) 1548148020.641 * * [misc]simplify: iters left: 1 (276 enodes) 1548148020.726 * [exit]simplify: Simplified to (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) 1548148020.726 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log n) (log PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148020.727 * * * * [misc]progress: [ 73 / 131 ] simplifiying candidate # 1548148020.727 * * * * [misc]progress: [ 74 / 131 ] simplifiying candidate # 1548148020.727 * * * * [misc]progress: [ 75 / 131 ] simplifiying candidate # 1548148020.727 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148020.727 * * [misc]simplify: iters left: 6 (16 enodes) 1548148020.729 * * [misc]simplify: iters left: 5 (35 enodes) 1548148020.736 * * [misc]simplify: iters left: 4 (86 enodes) 1548148020.767 * * [misc]simplify: iters left: 3 (304 enodes) 1548148021.005 * [exit]simplify: Simplified to (pow (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1548148021.005 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3)) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.005 * * * * [misc]progress: [ 76 / 131 ] simplifiying candidate # 1548148021.005 * * * * [misc]progress: [ 77 / 131 ] simplifiying candidate # 1548148021.005 * * * * [misc]progress: [ 78 / 131 ] simplifiying candidate # 1548148021.005 * * * * [misc]progress: [ 79 / 131 ] simplifiying candidate # 1548148021.005 * * * * [misc]progress: [ 80 / 131 ] simplifiying candidate # 1548148021.006 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.006 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.008 * * [misc]simplify: iters left: 5 (21 enodes) 1548148021.011 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.015 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.015 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.015 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.015 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.017 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.019 * * [misc]simplify: iters left: 4 (20 enodes) 1548148021.021 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.022 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.022 * * * * [misc]progress: [ 81 / 131 ] simplifiying candidate # 1548148021.022 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.022 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.024 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.026 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.028 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.028 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.029 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.029 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.031 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.033 * * [misc]simplify: iters left: 4 (20 enodes) 1548148021.036 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.036 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.036 * * * * [misc]progress: [ 82 / 131 ] simplifiying candidate # 1548148021.036 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548148021.036 * * [misc]simplify: iters left: 3 (5 enodes) 1548148021.038 * * [misc]simplify: iters left: 2 (8 enodes) 1548148021.040 * * [misc]simplify: iters left: 1 (10 enodes) 1548148021.042 * [exit]simplify: Simplified to (sqrt PI) 1548148021.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.042 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.042 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.046 * * [misc]simplify: iters left: 5 (20 enodes) 1548148021.055 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.062 * * [misc]simplify: iters left: 3 (34 enodes) 1548148021.069 * * [misc]simplify: iters left: 2 (36 enodes) 1548148021.072 * * [misc]simplify: iters left: 1 (41 enodes) 1548148021.077 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548148021.077 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.077 * * * * [misc]progress: [ 83 / 131 ] simplifiying candidate # 1548148021.077 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548148021.077 * * [misc]simplify: iters left: 3 (5 enodes) 1548148021.078 * * [misc]simplify: iters left: 2 (8 enodes) 1548148021.079 * * [misc]simplify: iters left: 1 (10 enodes) 1548148021.080 * [exit]simplify: Simplified to (sqrt PI) 1548148021.080 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.081 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.081 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.083 * * [misc]simplify: iters left: 5 (20 enodes) 1548148021.085 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.089 * * [misc]simplify: iters left: 3 (34 enodes) 1548148021.093 * * [misc]simplify: iters left: 2 (36 enodes) 1548148021.096 * * [misc]simplify: iters left: 1 (41 enodes) 1548148021.105 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548148021.105 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.105 * * * * [misc]progress: [ 84 / 131 ] simplifiying candidate # 1548148021.105 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1548148021.106 * * [misc]simplify: iters left: 5 (8 enodes) 1548148021.108 * * [misc]simplify: iters left: 4 (14 enodes) 1548148021.111 * * [misc]simplify: iters left: 3 (16 enodes) 1548148021.116 * * [misc]simplify: iters left: 2 (25 enodes) 1548148021.122 * * [misc]simplify: iters left: 1 (28 enodes) 1548148021.128 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1548148021.128 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.128 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1548148021.128 * * [misc]simplify: iters left: 6 (9 enodes) 1548148021.131 * * [misc]simplify: iters left: 5 (11 enodes) 1548148021.134 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1548148021.134 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.134 * * * * [misc]progress: [ 85 / 131 ] simplifiying candidate # 1548148021.134 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.134 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.138 * * [misc]simplify: iters left: 5 (21 enodes) 1548148021.144 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.150 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.150 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.150 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.151 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.155 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.160 * * [misc]simplify: iters left: 4 (20 enodes) 1548148021.165 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.165 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.165 * * * * [misc]progress: [ 86 / 131 ] simplifiying candidate # 1548148021.166 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.166 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.170 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.175 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.181 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.181 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.181 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.181 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.185 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.189 * * [misc]simplify: iters left: 4 (20 enodes) 1548148021.192 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.192 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.192 * * * * [misc]progress: [ 87 / 131 ] simplifiying candidate # 1548148021.192 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548148021.192 * * [misc]simplify: iters left: 3 (5 enodes) 1548148021.193 * * [misc]simplify: iters left: 2 (8 enodes) 1548148021.194 * * [misc]simplify: iters left: 1 (10 enodes) 1548148021.195 * [exit]simplify: Simplified to (sqrt PI) 1548148021.195 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.195 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.195 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.197 * * [misc]simplify: iters left: 5 (20 enodes) 1548148021.200 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.203 * * [misc]simplify: iters left: 3 (34 enodes) 1548148021.207 * * [misc]simplify: iters left: 2 (36 enodes) 1548148021.210 * * [misc]simplify: iters left: 1 (41 enodes) 1548148021.215 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548148021.215 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.215 * * * * [misc]progress: [ 88 / 131 ] simplifiying candidate # 1548148021.215 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1548148021.215 * * [misc]simplify: iters left: 3 (5 enodes) 1548148021.216 * * [misc]simplify: iters left: 2 (8 enodes) 1548148021.217 * * [misc]simplify: iters left: 1 (10 enodes) 1548148021.218 * [exit]simplify: Simplified to (sqrt PI) 1548148021.218 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.218 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.218 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.220 * * [misc]simplify: iters left: 5 (20 enodes) 1548148021.222 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.226 * * [misc]simplify: iters left: 3 (34 enodes) 1548148021.231 * * [misc]simplify: iters left: 2 (36 enodes) 1548148021.237 * * [misc]simplify: iters left: 1 (41 enodes) 1548148021.246 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1548148021.246 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.246 * * * * [misc]progress: [ 89 / 131 ] simplifiying candidate # 1548148021.246 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1548148021.246 * * [misc]simplify: iters left: 5 (8 enodes) 1548148021.248 * * [misc]simplify: iters left: 4 (14 enodes) 1548148021.252 * * [misc]simplify: iters left: 3 (16 enodes) 1548148021.257 * * [misc]simplify: iters left: 2 (25 enodes) 1548148021.262 * * [misc]simplify: iters left: 1 (28 enodes) 1548148021.268 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1548148021.268 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.269 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1548148021.269 * * [misc]simplify: iters left: 6 (9 enodes) 1548148021.271 * * [misc]simplify: iters left: 5 (11 enodes) 1548148021.274 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1548148021.274 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.274 * * * * [misc]progress: [ 90 / 131 ] simplifiying candidate # 1548148021.275 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.275 * * [misc]simplify: iters left: 6 (16 enodes) 1548148021.278 * * [misc]simplify: iters left: 5 (26 enodes) 1548148021.282 * * [misc]simplify: iters left: 4 (38 enodes) 1548148021.288 * * [misc]simplify: iters left: 3 (41 enodes) 1548148021.293 * * [misc]simplify: iters left: 2 (44 enodes) 1548148021.298 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.298 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.299 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.299 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.301 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.303 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.305 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.305 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.305 * * * * [misc]progress: [ 91 / 131 ] simplifiying candidate # 1548148021.306 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.306 * * [misc]simplify: iters left: 6 (15 enodes) 1548148021.308 * * [misc]simplify: iters left: 5 (21 enodes) 1548148021.311 * * [misc]simplify: iters left: 4 (26 enodes) 1548148021.316 * * [misc]simplify: iters left: 3 (27 enodes) 1548148021.323 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.323 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.323 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.323 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.327 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.331 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.337 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.337 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.337 * * * * [misc]progress: [ 92 / 131 ] simplifiying candidate # 1548148021.338 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1548148021.338 * * [misc]simplify: iters left: 6 (11 enodes) 1548148021.341 * * [misc]simplify: iters left: 5 (17 enodes) 1548148021.346 * * [misc]simplify: iters left: 4 (26 enodes) 1548148021.352 * * [misc]simplify: iters left: 3 (28 enodes) 1548148021.358 * * [misc]simplify: iters left: 2 (33 enodes) 1548148021.363 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148021.363 * [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)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.363 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.363 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.365 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.368 * * [misc]simplify: iters left: 4 (25 enodes) 1548148021.371 * * [misc]simplify: iters left: 3 (35 enodes) 1548148021.375 * * [misc]simplify: iters left: 2 (37 enodes) 1548148021.380 * * [misc]simplify: iters left: 1 (42 enodes) 1548148021.385 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148021.385 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.385 * * * * [misc]progress: [ 93 / 131 ] simplifiying candidate # 1548148021.385 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1548148021.385 * * [misc]simplify: iters left: 6 (11 enodes) 1548148021.387 * * [misc]simplify: iters left: 5 (17 enodes) 1548148021.390 * * [misc]simplify: iters left: 4 (26 enodes) 1548148021.396 * * [misc]simplify: iters left: 3 (28 enodes) 1548148021.402 * * [misc]simplify: iters left: 2 (33 enodes) 1548148021.407 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148021.407 * [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)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.407 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.407 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.410 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.412 * * [misc]simplify: iters left: 4 (25 enodes) 1548148021.416 * * [misc]simplify: iters left: 3 (35 enodes) 1548148021.420 * * [misc]simplify: iters left: 2 (37 enodes) 1548148021.423 * * [misc]simplify: iters left: 1 (42 enodes) 1548148021.428 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148021.428 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.428 * * * * [misc]progress: [ 94 / 131 ] simplifiying candidate # 1548148021.428 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n 1/2))) 1548148021.428 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.430 * * [misc]simplify: iters left: 5 (23 enodes) 1548148021.433 * * [misc]simplify: iters left: 4 (33 enodes) 1548148021.440 * * [misc]simplify: iters left: 3 (48 enodes) 1548148021.454 * * [misc]simplify: iters left: 2 (96 enodes) 1548148021.493 * * [misc]simplify: iters left: 1 (237 enodes) 1548148021.588 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1548148021.588 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.588 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548148021.588 * * [misc]simplify: iters left: 6 (11 enodes) 1548148021.591 * * [misc]simplify: iters left: 5 (13 enodes) 1548148021.595 * * [misc]simplify: iters left: 4 (16 enodes) 1548148021.599 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548148021.600 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.600 * * * * [misc]progress: [ 95 / 131 ] simplifiying candidate # 1548148021.600 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.600 * * [misc]simplify: iters left: 6 (15 enodes) 1548148021.604 * * [misc]simplify: iters left: 5 (21 enodes) 1548148021.607 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.611 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.611 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.611 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.611 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.613 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.615 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.618 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.618 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.618 * * * * [misc]progress: [ 96 / 131 ] simplifiying candidate # 1548148021.618 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.618 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.620 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.622 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.625 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.625 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.625 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.625 * * [misc]simplify: iters left: 6 (14 enodes) 1548148021.627 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.629 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.632 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.632 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.632 * * * * [misc]progress: [ 97 / 131 ] simplifiying candidate # 1548148021.632 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1548148021.632 * * [misc]simplify: iters left: 6 (10 enodes) 1548148021.633 * * [misc]simplify: iters left: 5 (14 enodes) 1548148021.636 * * [misc]simplify: iters left: 4 (19 enodes) 1548148021.639 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148021.639 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.639 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.640 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.643 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.648 * * [misc]simplify: iters left: 4 (25 enodes) 1548148021.652 * * [misc]simplify: iters left: 3 (35 enodes) 1548148021.656 * * [misc]simplify: iters left: 2 (37 enodes) 1548148021.661 * * [misc]simplify: iters left: 1 (42 enodes) 1548148021.666 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548148021.666 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.666 * * * * [misc]progress: [ 98 / 131 ] simplifiying candidate # 1548148021.666 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1548148021.666 * * [misc]simplify: iters left: 6 (10 enodes) 1548148021.667 * * [misc]simplify: iters left: 5 (14 enodes) 1548148021.670 * * [misc]simplify: iters left: 4 (19 enodes) 1548148021.672 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148021.672 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.672 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.672 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.674 * * [misc]simplify: iters left: 5 (19 enodes) 1548148021.676 * * [misc]simplify: iters left: 4 (25 enodes) 1548148021.680 * * [misc]simplify: iters left: 3 (35 enodes) 1548148021.688 * * [misc]simplify: iters left: 2 (37 enodes) 1548148021.694 * * [misc]simplify: iters left: 1 (42 enodes) 1548148021.698 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1548148021.698 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.698 * * * * [misc]progress: [ 99 / 131 ] simplifiying candidate # 1548148021.698 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n 1/2))) 1548148021.698 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.700 * * [misc]simplify: iters left: 5 (20 enodes) 1548148021.703 * * [misc]simplify: iters left: 4 (26 enodes) 1548148021.706 * * [misc]simplify: iters left: 3 (36 enodes) 1548148021.711 * * [misc]simplify: iters left: 2 (38 enodes) 1548148021.714 * * [misc]simplify: iters left: 1 (43 enodes) 1548148021.719 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) 1548148021.719 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.719 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548148021.719 * * [misc]simplify: iters left: 6 (11 enodes) 1548148021.721 * * [misc]simplify: iters left: 5 (13 enodes) 1548148021.723 * * [misc]simplify: iters left: 4 (16 enodes) 1548148021.725 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1548148021.726 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.726 * * * * [misc]progress: [ 100 / 131 ] simplifiying candidate # 1548148021.726 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) 1548148021.726 * * [misc]simplify: iters left: 6 (12 enodes) 1548148021.729 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.734 * * [misc]simplify: iters left: 4 (21 enodes) 1548148021.740 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.740 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.740 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.740 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.744 * * [misc]simplify: iters left: 5 (17 enodes) 1548148021.748 * * [misc]simplify: iters left: 4 (20 enodes) 1548148021.753 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.753 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.753 * * * * [misc]progress: [ 101 / 131 ] simplifiying candidate # 1548148021.754 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.754 * * [misc]simplify: iters left: 6 (11 enodes) 1548148021.758 * * [misc]simplify: iters left: 5 (15 enodes) 1548148021.762 * * [misc]simplify: iters left: 4 (18 enodes) 1548148021.765 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.765 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.766 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.766 * * [misc]simplify: iters left: 6 (13 enodes) 1548148021.768 * * [misc]simplify: iters left: 5 (17 enodes) 1548148021.770 * * [misc]simplify: iters left: 4 (20 enodes) 1548148021.772 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) 1548148021.772 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.772 * * * * [misc]progress: [ 102 / 131 ] simplifiying candidate # 1548148021.772 * [enter]simplify: Simplifying (/ 1 1) 1548148021.772 * * [misc]simplify: iters left: 2 (2 enodes) 1548148021.773 * * [misc]simplify: iters left: 1 (4 enodes) 1548148021.773 * [exit]simplify: Simplified to 1 1548148021.773 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.773 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.773 * * [misc]simplify: iters left: 6 (12 enodes) 1548148021.775 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.777 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.781 * * [misc]simplify: iters left: 3 (34 enodes) 1548148021.785 * * [misc]simplify: iters left: 2 (36 enodes) 1548148021.788 * * [misc]simplify: iters left: 1 (41 enodes) 1548148021.793 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1548148021.793 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.793 * * * * [misc]progress: [ 103 / 131 ] simplifiying candidate # 1548148021.793 * [enter]simplify: Simplifying (/ 1 1) 1548148021.793 * * [misc]simplify: iters left: 2 (2 enodes) 1548148021.793 * * [misc]simplify: iters left: 1 (4 enodes) 1548148021.794 * [exit]simplify: Simplified to 1 1548148021.794 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.794 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.794 * * [misc]simplify: iters left: 6 (12 enodes) 1548148021.796 * * [misc]simplify: iters left: 5 (18 enodes) 1548148021.800 * * [misc]simplify: iters left: 4 (24 enodes) 1548148021.807 * * [misc]simplify: iters left: 3 (34 enodes) 1548148021.814 * * [misc]simplify: iters left: 2 (36 enodes) 1548148021.821 * * [misc]simplify: iters left: 1 (41 enodes) 1548148021.829 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1548148021.829 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.829 * * * * [misc]progress: [ 104 / 131 ] simplifiying candidate # 1548148021.830 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1548148021.830 * * [misc]simplify: iters left: 5 (6 enodes) 1548148021.832 * * [misc]simplify: iters left: 4 (11 enodes) 1548148021.834 * * [misc]simplify: iters left: 3 (12 enodes) 1548148021.838 * * [misc]simplify: iters left: 2 (16 enodes) 1548148021.841 * [exit]simplify: Simplified to (sqrt n) 1548148021.841 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.841 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1548148021.841 * * [misc]simplify: iters left: 6 (10 enodes) 1548148021.844 * * [misc]simplify: iters left: 5 (12 enodes) 1548148021.847 * * [misc]simplify: iters left: 4 (15 enodes) 1548148021.851 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1548148021.851 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.851 * * * * [misc]progress: [ 105 / 131 ] simplifiying candidate # 1548148021.851 * * * * [misc]progress: [ 106 / 131 ] simplifiying candidate # 1548148021.852 * * * * [misc]progress: [ 107 / 131 ] simplifiying candidate # 1548148021.852 * * * * [misc]progress: [ 108 / 131 ] simplifiying candidate # 1548148021.852 * [enter]simplify: Simplifying (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.852 * * [misc]simplify: iters left: 6 (10 enodes) 1548148021.855 * * [misc]simplify: iters left: 5 (14 enodes) 1548148021.859 * * [misc]simplify: iters left: 4 (17 enodes) 1548148021.863 * [exit]simplify: Simplified to (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.863 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.863 * * * * [misc]progress: [ 109 / 131 ] simplifiying candidate # 1548148021.863 * [enter]simplify: Simplifying (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.863 * * [misc]simplify: iters left: 6 (10 enodes) 1548148021.867 * * [misc]simplify: iters left: 5 (14 enodes) 1548148021.870 * * [misc]simplify: iters left: 4 (17 enodes) 1548148021.874 * [exit]simplify: Simplified to (sqrt (/ 1 (pow n (- 1/2 (/ k 2))))) 1548148021.874 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.874 * * * * [misc]progress: [ 110 / 131 ] simplifiying candidate # 1548148021.874 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548148021.874 * * [misc]simplify: iters left: 6 (9 enodes) 1548148021.875 * * [misc]simplify: iters left: 5 (13 enodes) 1548148021.877 * * [misc]simplify: iters left: 4 (16 enodes) 1548148021.879 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548148021.879 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.879 * * * * [misc]progress: [ 111 / 131 ] simplifiying candidate # 1548148021.879 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1548148021.879 * * [misc]simplify: iters left: 6 (9 enodes) 1548148021.880 * * [misc]simplify: iters left: 5 (13 enodes) 1548148021.882 * * [misc]simplify: iters left: 4 (16 enodes) 1548148021.883 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1548148021.883 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.884 * * * * [misc]progress: [ 112 / 131 ] simplifiying candidate # 1548148021.884 * [enter]simplify: Simplifying (pow n (/ k 2)) 1548148021.884 * * [misc]simplify: iters left: 3 (5 enodes) 1548148021.884 * [exit]simplify: Simplified to (pow n (/ k 2)) 1548148021.884 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n 1/2))) (pow n (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.884 * * * * [misc]progress: [ 113 / 131 ] simplifiying candidate # 1548148021.885 * [enter]simplify: Simplifying (pow PI 1/2) 1548148021.885 * * [misc]simplify: iters left: 1 (3 enodes) 1548148021.885 * [exit]simplify: Simplified to (sqrt PI) 1548148021.885 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.885 * * * * [misc]progress: [ 114 / 131 ] simplifiying candidate # 1548148021.885 * [enter]simplify: Simplifying (pow PI 1/2) 1548148021.885 * * [misc]simplify: iters left: 1 (3 enodes) 1548148021.886 * [exit]simplify: Simplified to (sqrt PI) 1548148021.886 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.886 * * * * [misc]progress: [ 115 / 131 ] simplifiying candidate # 1548148021.886 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148021.886 * * [misc]simplify: iters left: 6 (9 enodes) 1548148021.887 * * [misc]simplify: iters left: 5 (11 enodes) 1548148021.889 * * [misc]simplify: iters left: 4 (14 enodes) 1548148021.890 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1548148021.890 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.890 * * * * [misc]progress: [ 116 / 131 ] simplifiying candidate # 1548148021.891 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148021.891 * * [misc]simplify: iters left: 6 (8 enodes) 1548148021.892 * * [misc]simplify: iters left: 5 (10 enodes) 1548148021.893 * * [misc]simplify: iters left: 4 (13 enodes) 1548148021.894 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1548148021.894 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ 1 (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.895 * * * * [misc]progress: [ 117 / 131 ] simplifiying candidate # 1548148021.895 * * * * [misc]progress: [ 118 / 131 ] simplifiying candidate # 1548148021.895 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1548148021.895 * * [misc]simplify: iters left: 5 (7 enodes) 1548148021.896 * * [misc]simplify: iters left: 4 (9 enodes) 1548148021.897 * * [misc]simplify: iters left: 3 (12 enodes) 1548148021.898 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1548148021.898 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) 1) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.898 * * * * [misc]progress: [ 119 / 131 ] simplifiying candidate # 1548148021.899 * [enter]simplify: Simplifying (pow PI 1/2) 1548148021.899 * * [misc]simplify: iters left: 1 (3 enodes) 1548148021.899 * [exit]simplify: Simplified to (sqrt PI) 1548148021.899 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148021.899 * * * * [misc]progress: [ 120 / 131 ] simplifiying candidate # 1548148021.899 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1548148021.899 * * [misc]simplify: iters left: 6 (18 enodes) 1548148021.902 * * [misc]simplify: iters left: 5 (39 enodes) 1548148021.913 * * [misc]simplify: iters left: 4 (113 enodes) 1548148021.959 * * [misc]simplify: iters left: 3 (290 enodes) 1548148022.047 * [exit]simplify: Simplified to (+ (+ (* (* (sqrt n) (log n)) (* k -1/2)) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))) 1548148022.047 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (+ (+ (* (* (sqrt n) (log n)) (* k -1/2)) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.047 * * * * [misc]progress: [ 121 / 131 ] simplifiying candidate # 1548148022.047 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1548148022.047 * * [misc]simplify: iters left: 6 (12 enodes) 1548148022.050 * * [misc]simplify: iters left: 5 (28 enodes) 1548148022.060 * * [misc]simplify: iters left: 4 (67 enodes) 1548148022.084 * * [misc]simplify: iters left: 3 (174 enodes) 1548148022.199 * [exit]simplify: Simplified to (pow n (- 1/2 (* 1/2 k))) 1548148022.199 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (* 1/2 k))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.199 * * * * [misc]progress: [ 122 / 131 ] simplifiying candidate # 1548148022.199 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1548148022.199 * * [misc]simplify: iters left: 6 (12 enodes) 1548148022.204 * * [misc]simplify: iters left: 5 (22 enodes) 1548148022.212 * * [misc]simplify: iters left: 4 (52 enodes) 1548148022.235 * * [misc]simplify: iters left: 3 (141 enodes) 1548148022.304 * * [misc]simplify: iters left: 2 (418 enodes) 1548148022.650 * [exit]simplify: Simplified to (pow (sqrt n) (- 1 k)) 1548148022.650 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (sqrt n) (- 1 k)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.650 * * * * [misc]progress: [ 123 / 131 ] simplifiying candidate # 1548148022.650 * [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)))) 1548148022.650 * * [misc]simplify: iters left: 6 (18 enodes) 1548148022.653 * * [misc]simplify: iters left: 5 (39 enodes) 1548148022.667 * * [misc]simplify: iters left: 4 (104 enodes) 1548148022.706 * * [misc]simplify: iters left: 3 (275 enodes) 1548148022.816 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1548148022.816 * [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))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.816 * * * * [misc]progress: [ 124 / 131 ] simplifiying candidate # 1548148022.817 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548148022.817 * * [misc]simplify: iters left: 5 (6 enodes) 1548148022.818 * * [misc]simplify: iters left: 4 (9 enodes) 1548148022.822 * * [misc]simplify: iters left: 3 (17 enodes) 1548148022.826 * * [misc]simplify: iters left: 2 (20 enodes) 1548148022.830 * * [misc]simplify: iters left: 1 (24 enodes) 1548148022.839 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1548148022.839 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (* k 1/2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.839 * * * * [misc]progress: [ 125 / 131 ] simplifiying candidate # 1548148022.839 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1548148022.839 * * [misc]simplify: iters left: 5 (6 enodes) 1548148022.841 * * [misc]simplify: iters left: 4 (9 enodes) 1548148022.844 * * [misc]simplify: iters left: 3 (17 enodes) 1548148022.846 * * [misc]simplify: iters left: 2 (20 enodes) 1548148022.848 * * [misc]simplify: iters left: 1 (24 enodes) 1548148022.853 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1548148022.853 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (* k 1/2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.853 * * * * [misc]progress: [ 126 / 131 ] simplifiying candidate # 1548148022.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1548148022.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0)) 1548148022.853 * * * * [misc]progress: [ 127 / 131 ] simplifiying candidate # 1548148022.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548148022.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0)) 1548148022.853 * * * * [misc]progress: [ 128 / 131 ] simplifiying candidate # 1548148022.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1548148022.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) +nan.0)) 1548148022.853 * * * * [misc]progress: [ 129 / 131 ] simplifiying candidate # 1548148022.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (* +nan.0 (* n PI))))))))) 1548148022.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148022.854 * * * * [misc]progress: [ 130 / 131 ] simplifiying candidate # 1548148022.854 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548148022.854 * * [misc]simplify: iters left: 6 (15 enodes) 1548148022.857 * * [misc]simplify: iters left: 5 (32 enodes) 1548148022.862 * * [misc]simplify: iters left: 4 (71 enodes) 1548148022.877 * * [misc]simplify: iters left: 3 (182 enodes) 1548148022.962 * * [misc]simplify: iters left: 2 (437 enodes) 1548148023.325 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1548148023.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148023.325 * * * * [misc]progress: [ 131 / 131 ] simplifiying candidate # 1548148023.325 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1548148023.325 * * [misc]simplify: iters left: 6 (15 enodes) 1548148023.330 * * [misc]simplify: iters left: 5 (26 enodes) 1548148023.338 * * [misc]simplify: iters left: 4 (56 enodes) 1548148023.360 * * [misc]simplify: iters left: 3 (145 enodes) 1548148023.434 * * [misc]simplify: iters left: 2 (430 enodes) 1548148023.791 * [exit]simplify: Simplified to (* (/ (sqrt n) (pow (sqrt n) k)) (pow PI (- 1/2 (* 1/2 k)))) 1548148023.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt n) (pow (sqrt n) k)) (pow PI (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1548148023.791 * * * [misc]progress: adding candidates to table 1548148025.368 * [misc]progress: [Phase 3 of 3] Extracting. 1548148025.368 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1548148025.369 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1548148025.369 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1548148025.428 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1548148025.491 * * * [misc]regime: Found split indices: #