1554304270.589 * [misc]progress: [Phase 1 of 3] Setting up. 1554304270.589 * * * [misc]progress: [1/2] Preparing points 1554304271.179 * * * [misc]progress: [2/2] Setting up program. 1554304271.182 * [misc]progress: [Phase 2 of 3] Improving. 1554304271.182 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1554304271.183 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1554304271.183 * * [misc]simplify: iters left: 6 (13 enodes) 1554304271.186 * * [misc]simplify: iters left: 5 (54 enodes) 1554304271.200 * * [misc]simplify: iters left: 4 (75 enodes) 1554304271.220 * * [misc]simplify: iters left: 3 (94 enodes) 1554304271.232 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304271.233 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304271.233 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304271.233 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1554304271.233 * * [misc]simplify: Extracting #4: cost 18 inf + 378 1554304271.233 * * [misc]simplify: Extracting #5: cost 6 inf + 1792 1554304271.234 * * [misc]simplify: Extracting #6: cost 1 inf + 3201 1554304271.234 * * [misc]simplify: Extracting #7: cost 0 inf + 3656 1554304271.235 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1554304271.235 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) 1554304271.242 * * [misc]progress: iteration 1 / 4 1554304271.242 * * * [misc]progress: picking best candidate 1554304271.247 * * * * [misc]pick: Picked # 1554304271.247 * * * [misc]progress: localizing error 1554304271.297 * * * [misc]progress: generating rewritten candidates 1554304271.297 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1554304271.304 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1554304271.307 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1554304271.315 * * * [misc]progress: generating series expansions 1554304271.315 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1554304271.315 * [misc]backup-simplify: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1554304271.315 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1554304271.315 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.315 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.315 * [misc]taylor: Taking taylor expansion of k in k 1554304271.315 * [misc]backup-simplify: Simplify 0 into 0 1554304271.315 * [misc]backup-simplify: Simplify 1 into 1 1554304271.315 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.315 * [misc]backup-simplify: Simplify 2 into 2 1554304271.315 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304271.315 * [misc]taylor: Taking taylor expansion of n in k 1554304271.315 * [misc]backup-simplify: Simplify n into n 1554304271.315 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.315 * [misc]backup-simplify: Simplify PI into PI 1554304271.315 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304271.316 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304271.316 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304271.316 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304271.316 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.316 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.316 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304271.316 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304271.316 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304271.316 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304271.316 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304271.316 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304271.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.317 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304271.317 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.317 * [misc]taylor: Taking taylor expansion of k in n 1554304271.317 * [misc]backup-simplify: Simplify k into k 1554304271.317 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304271.317 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304271.317 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.317 * [misc]backup-simplify: Simplify 2 into 2 1554304271.317 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304271.317 * [misc]taylor: Taking taylor expansion of n in n 1554304271.317 * [misc]backup-simplify: Simplify 0 into 0 1554304271.317 * [misc]backup-simplify: Simplify 1 into 1 1554304271.317 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.317 * [misc]backup-simplify: Simplify PI into PI 1554304271.317 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304271.317 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304271.318 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304271.318 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304271.318 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.318 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304271.318 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304271.318 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304271.319 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.319 * [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)))) 1554304271.320 * [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))))) 1554304271.320 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.320 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.320 * [misc]taylor: Taking taylor expansion of k in n 1554304271.320 * [misc]backup-simplify: Simplify k into k 1554304271.320 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.320 * [misc]backup-simplify: Simplify 2 into 2 1554304271.320 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304271.320 * [misc]taylor: Taking taylor expansion of n in n 1554304271.320 * [misc]backup-simplify: Simplify 0 into 0 1554304271.320 * [misc]backup-simplify: Simplify 1 into 1 1554304271.320 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.320 * [misc]backup-simplify: Simplify PI into PI 1554304271.320 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304271.320 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304271.321 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304271.321 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304271.321 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.321 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304271.321 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304271.321 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304271.322 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.322 * [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)))) 1554304271.323 * [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))))) 1554304271.323 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.323 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.323 * [misc]taylor: Taking taylor expansion of k in k 1554304271.323 * [misc]backup-simplify: Simplify 0 into 0 1554304271.323 * [misc]backup-simplify: Simplify 1 into 1 1554304271.323 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of n in k 1554304271.323 * [misc]backup-simplify: Simplify n into n 1554304271.323 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304271.323 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554304271.323 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.323 * [misc]backup-simplify: Simplify 2 into 2 1554304271.323 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.323 * [misc]backup-simplify: Simplify PI into PI 1554304271.323 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.324 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.324 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304271.324 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.324 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.324 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.325 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1554304271.325 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554304271.325 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554304271.326 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304271.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304271.329 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304271.329 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304271.329 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.329 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.330 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554304271.331 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304271.331 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.331 * [misc]backup-simplify: Simplify 0 into 0 1554304271.331 * [misc]backup-simplify: Simplify 0 into 0 1554304271.331 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304271.332 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304271.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304271.333 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.334 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304271.334 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304271.334 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304271.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1554304271.335 * [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))))))) 1554304271.336 * [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))))))) 1554304271.337 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.338 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554304271.342 * [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 1554304271.342 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304271.343 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.343 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.344 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.344 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554304271.347 * [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 1554304271.347 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.347 * [misc]backup-simplify: Simplify 0 into 0 1554304271.347 * [misc]backup-simplify: Simplify 0 into 0 1554304271.347 * [misc]backup-simplify: Simplify 0 into 0 1554304271.348 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304271.349 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.355 * [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 1554304271.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.355 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304271.355 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554304271.359 * [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))))) 1554304271.361 * [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))))) 1554304271.366 * [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))))) 1554304271.366 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1554304271.366 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554304271.366 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304271.366 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304271.366 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304271.366 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304271.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.367 * [misc]taylor: Taking taylor expansion of k in k 1554304271.367 * [misc]backup-simplify: Simplify 0 into 0 1554304271.367 * [misc]backup-simplify: Simplify 1 into 1 1554304271.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.367 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304271.367 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304271.367 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.367 * [misc]backup-simplify: Simplify 2 into 2 1554304271.367 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304271.367 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.367 * [misc]backup-simplify: Simplify PI into PI 1554304271.367 * [misc]taylor: Taking taylor expansion of n in k 1554304271.367 * [misc]backup-simplify: Simplify n into n 1554304271.367 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304271.368 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304271.368 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304271.368 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.368 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304271.368 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304271.368 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304271.368 * [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)))) 1554304271.369 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.369 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.369 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of k in n 1554304271.369 * [misc]backup-simplify: Simplify k into k 1554304271.369 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.369 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.369 * [misc]backup-simplify: Simplify 2 into 2 1554304271.369 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.369 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.369 * [misc]backup-simplify: Simplify PI into PI 1554304271.369 * [misc]taylor: Taking taylor expansion of n in n 1554304271.369 * [misc]backup-simplify: Simplify 0 into 0 1554304271.369 * [misc]backup-simplify: Simplify 1 into 1 1554304271.369 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.369 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.370 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.370 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.370 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304271.370 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304271.370 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.371 * [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))) 1554304271.371 * [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)))) 1554304271.371 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304271.371 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304271.371 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304271.371 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304271.371 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.371 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.371 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.371 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.371 * [misc]taylor: Taking taylor expansion of k in n 1554304271.371 * [misc]backup-simplify: Simplify k into k 1554304271.371 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.371 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304271.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304271.372 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.372 * [misc]backup-simplify: Simplify 2 into 2 1554304271.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.372 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.372 * [misc]backup-simplify: Simplify PI into PI 1554304271.372 * [misc]taylor: Taking taylor expansion of n in n 1554304271.372 * [misc]backup-simplify: Simplify 0 into 0 1554304271.372 * [misc]backup-simplify: Simplify 1 into 1 1554304271.372 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.372 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.372 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.372 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.372 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304271.373 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304271.373 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.373 * [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))) 1554304271.374 * [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)))) 1554304271.374 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.374 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of k in k 1554304271.374 * [misc]backup-simplify: Simplify 0 into 0 1554304271.374 * [misc]backup-simplify: Simplify 1 into 1 1554304271.374 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.374 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554304271.374 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.374 * [misc]backup-simplify: Simplify 2 into 2 1554304271.374 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.374 * [misc]backup-simplify: Simplify PI into PI 1554304271.374 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.375 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.375 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304271.375 * [misc]taylor: Taking taylor expansion of n in k 1554304271.375 * [misc]backup-simplify: Simplify n into n 1554304271.375 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304271.375 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.375 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304271.375 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304271.375 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304271.375 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1554304271.376 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1554304271.376 * [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)))) 1554304271.377 * [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)))) 1554304271.377 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304271.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304271.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304271.379 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304271.379 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304271.380 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.380 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.380 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.380 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554304271.381 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304271.382 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.382 * [misc]backup-simplify: Simplify 0 into 0 1554304271.382 * [misc]backup-simplify: Simplify 0 into 0 1554304271.382 * [misc]backup-simplify: Simplify 0 into 0 1554304271.382 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.383 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.390 * [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 1554304271.390 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.390 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304271.390 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.390 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.391 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.391 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1554304271.393 * [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 1554304271.393 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.393 * [misc]backup-simplify: Simplify 0 into 0 1554304271.393 * [misc]backup-simplify: Simplify 0 into 0 1554304271.393 * [misc]backup-simplify: Simplify 0 into 0 1554304271.393 * [misc]backup-simplify: Simplify 0 into 0 1554304271.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.397 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.405 * [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 1554304271.405 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.406 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304271.406 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.406 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.407 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.408 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1554304271.412 * [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 1554304271.412 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.412 * [misc]backup-simplify: Simplify 0 into 0 1554304271.412 * [misc]backup-simplify: Simplify 0 into 0 1554304271.413 * [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))))) 1554304271.413 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304271.413 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554304271.413 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304271.413 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304271.413 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304271.413 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304271.413 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.413 * [misc]taylor: Taking taylor expansion of k in k 1554304271.413 * [misc]backup-simplify: Simplify 0 into 0 1554304271.413 * [misc]backup-simplify: Simplify 1 into 1 1554304271.414 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.414 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304271.414 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304271.414 * [misc]taylor: Taking taylor expansion of -2 in k 1554304271.414 * [misc]backup-simplify: Simplify -2 into -2 1554304271.414 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304271.414 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.414 * [misc]backup-simplify: Simplify PI into PI 1554304271.414 * [misc]taylor: Taking taylor expansion of n in k 1554304271.414 * [misc]backup-simplify: Simplify n into n 1554304271.414 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304271.414 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304271.414 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304271.414 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.415 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304271.415 * [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))) 1554304271.415 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of k in n 1554304271.415 * [misc]backup-simplify: Simplify k into k 1554304271.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.415 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of -2 in n 1554304271.415 * [misc]backup-simplify: Simplify -2 into -2 1554304271.415 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.415 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.415 * [misc]backup-simplify: Simplify PI into PI 1554304271.415 * [misc]taylor: Taking taylor expansion of n in n 1554304271.416 * [misc]backup-simplify: Simplify 0 into 0 1554304271.416 * [misc]backup-simplify: Simplify 1 into 1 1554304271.416 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.416 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.417 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304271.417 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.417 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304271.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.418 * [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))) 1554304271.419 * [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)))) 1554304271.419 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of k in n 1554304271.419 * [misc]backup-simplify: Simplify k into k 1554304271.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.419 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of -2 in n 1554304271.419 * [misc]backup-simplify: Simplify -2 into -2 1554304271.419 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.419 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.419 * [misc]backup-simplify: Simplify PI into PI 1554304271.419 * [misc]taylor: Taking taylor expansion of n in n 1554304271.419 * [misc]backup-simplify: Simplify 0 into 0 1554304271.419 * [misc]backup-simplify: Simplify 1 into 1 1554304271.420 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.420 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.420 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304271.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.421 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304271.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.422 * [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))) 1554304271.422 * [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)))) 1554304271.423 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of k in k 1554304271.423 * [misc]backup-simplify: Simplify 0 into 0 1554304271.423 * [misc]backup-simplify: Simplify 1 into 1 1554304271.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.423 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1554304271.423 * [misc]taylor: Taking taylor expansion of -2 in k 1554304271.423 * [misc]backup-simplify: Simplify -2 into -2 1554304271.423 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.423 * [misc]backup-simplify: Simplify PI into PI 1554304271.424 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.424 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304271.424 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304271.424 * [misc]taylor: Taking taylor expansion of n in k 1554304271.424 * [misc]backup-simplify: Simplify n into n 1554304271.424 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304271.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.425 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304271.425 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1554304271.426 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1554304271.426 * [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)))) 1554304271.427 * [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)))) 1554304271.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304271.429 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304271.432 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554304271.432 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304271.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304271.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.433 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.433 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1554304271.435 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304271.435 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.435 * [misc]backup-simplify: Simplify 0 into 0 1554304271.435 * [misc]backup-simplify: Simplify 0 into 0 1554304271.435 * [misc]backup-simplify: Simplify 0 into 0 1554304271.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.437 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.440 * [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 1554304271.441 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304271.441 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.441 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.442 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1554304271.443 * [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 1554304271.443 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.443 * [misc]backup-simplify: Simplify 0 into 0 1554304271.443 * [misc]backup-simplify: Simplify 0 into 0 1554304271.444 * [misc]backup-simplify: Simplify 0 into 0 1554304271.444 * [misc]backup-simplify: Simplify 0 into 0 1554304271.445 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.446 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.450 * [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 1554304271.451 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304271.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.451 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.452 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1554304271.454 * [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 1554304271.454 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.454 * [misc]backup-simplify: Simplify 0 into 0 1554304271.454 * [misc]backup-simplify: Simplify 0 into 0 1554304271.455 * [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))))) 1554304271.455 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1554304271.455 * [misc]backup-simplify: Simplify (* (* n 2) PI) into (* 2 (* n PI)) 1554304271.455 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1554304271.455 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304271.455 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.455 * [misc]backup-simplify: Simplify 2 into 2 1554304271.455 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304271.455 * [misc]taylor: Taking taylor expansion of n in n 1554304271.455 * [misc]backup-simplify: Simplify 0 into 0 1554304271.455 * [misc]backup-simplify: Simplify 1 into 1 1554304271.455 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.455 * [misc]backup-simplify: Simplify PI into PI 1554304271.455 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304271.455 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.455 * [misc]backup-simplify: Simplify 2 into 2 1554304271.455 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304271.455 * [misc]taylor: Taking taylor expansion of n in n 1554304271.455 * [misc]backup-simplify: Simplify 0 into 0 1554304271.455 * [misc]backup-simplify: Simplify 1 into 1 1554304271.455 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.455 * [misc]backup-simplify: Simplify PI into PI 1554304271.455 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304271.456 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304271.456 * [misc]backup-simplify: Simplify 0 into 0 1554304271.456 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304271.456 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304271.457 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.457 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304271.458 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304271.458 * [misc]backup-simplify: Simplify 0 into 0 1554304271.459 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554304271.460 * [misc]backup-simplify: Simplify 0 into 0 1554304271.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304271.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1554304271.462 * [misc]backup-simplify: Simplify 0 into 0 1554304271.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554304271.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1554304271.465 * [misc]backup-simplify: Simplify 0 into 0 1554304271.467 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554304271.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1554304271.469 * [misc]backup-simplify: Simplify 0 into 0 1554304271.472 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1554304271.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1554304271.476 * [misc]backup-simplify: Simplify 0 into 0 1554304271.477 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1554304271.477 * [misc]backup-simplify: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n)) 1554304271.477 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1554304271.477 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304271.477 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.477 * [misc]backup-simplify: Simplify 2 into 2 1554304271.477 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.477 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.477 * [misc]backup-simplify: Simplify PI into PI 1554304271.477 * [misc]taylor: Taking taylor expansion of n in n 1554304271.477 * [misc]backup-simplify: Simplify 0 into 0 1554304271.477 * [misc]backup-simplify: Simplify 1 into 1 1554304271.477 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.478 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304271.478 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.478 * [misc]backup-simplify: Simplify 2 into 2 1554304271.478 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.478 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.478 * [misc]backup-simplify: Simplify PI into PI 1554304271.478 * [misc]taylor: Taking taylor expansion of n in n 1554304271.478 * [misc]backup-simplify: Simplify 0 into 0 1554304271.478 * [misc]backup-simplify: Simplify 1 into 1 1554304271.478 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.478 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.479 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.480 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304271.480 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304271.480 * [misc]backup-simplify: Simplify 0 into 0 1554304271.482 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.483 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.483 * [misc]backup-simplify: Simplify 0 into 0 1554304271.484 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.486 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.486 * [misc]backup-simplify: Simplify 0 into 0 1554304271.488 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.490 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304271.490 * [misc]backup-simplify: Simplify 0 into 0 1554304271.492 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554304271.495 * [misc]backup-simplify: Simplify 0 into 0 1554304271.498 * [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 1554304271.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554304271.501 * [misc]backup-simplify: Simplify 0 into 0 1554304271.501 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1554304271.502 * [misc]backup-simplify: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n)) 1554304271.502 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1554304271.502 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304271.502 * [misc]taylor: Taking taylor expansion of -2 in n 1554304271.502 * [misc]backup-simplify: Simplify -2 into -2 1554304271.502 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.502 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.502 * [misc]backup-simplify: Simplify PI into PI 1554304271.502 * [misc]taylor: Taking taylor expansion of n in n 1554304271.502 * [misc]backup-simplify: Simplify 0 into 0 1554304271.502 * [misc]backup-simplify: Simplify 1 into 1 1554304271.502 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.502 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304271.502 * [misc]taylor: Taking taylor expansion of -2 in n 1554304271.502 * [misc]backup-simplify: Simplify -2 into -2 1554304271.502 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.502 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.502 * [misc]backup-simplify: Simplify PI into PI 1554304271.502 * [misc]taylor: Taking taylor expansion of n in n 1554304271.502 * [misc]backup-simplify: Simplify 0 into 0 1554304271.502 * [misc]backup-simplify: Simplify 1 into 1 1554304271.503 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.503 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.504 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304271.505 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304271.505 * [misc]backup-simplify: Simplify 0 into 0 1554304271.507 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.508 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.508 * [misc]backup-simplify: Simplify 0 into 0 1554304271.509 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.511 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.511 * [misc]backup-simplify: Simplify 0 into 0 1554304271.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.515 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304271.515 * [misc]backup-simplify: Simplify 0 into 0 1554304271.517 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.520 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554304271.520 * [misc]backup-simplify: Simplify 0 into 0 1554304271.525 * [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 1554304271.528 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554304271.528 * [misc]backup-simplify: Simplify 0 into 0 1554304271.529 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1554304271.529 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1554304271.529 * [misc]backup-simplify: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1554304271.529 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1554304271.529 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554304271.530 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304271.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.530 * [misc]taylor: Taking taylor expansion of k in k 1554304271.530 * [misc]backup-simplify: Simplify 0 into 0 1554304271.530 * [misc]backup-simplify: Simplify 1 into 1 1554304271.530 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.530 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304271.531 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304271.531 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.531 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.531 * [misc]taylor: Taking taylor expansion of k in k 1554304271.531 * [misc]backup-simplify: Simplify 0 into 0 1554304271.531 * [misc]backup-simplify: Simplify 1 into 1 1554304271.531 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.531 * [misc]backup-simplify: Simplify 2 into 2 1554304271.531 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304271.531 * [misc]taylor: Taking taylor expansion of n in k 1554304271.531 * [misc]backup-simplify: Simplify n into n 1554304271.531 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.531 * [misc]backup-simplify: Simplify PI into PI 1554304271.531 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304271.531 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304271.531 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304271.532 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304271.532 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.532 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.532 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304271.532 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304271.532 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554304271.532 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304271.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.532 * [misc]taylor: Taking taylor expansion of k in n 1554304271.532 * [misc]backup-simplify: Simplify k into k 1554304271.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.532 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304271.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304271.533 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304271.533 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.533 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.533 * [misc]taylor: Taking taylor expansion of k in n 1554304271.533 * [misc]backup-simplify: Simplify k into k 1554304271.533 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.533 * [misc]backup-simplify: Simplify 2 into 2 1554304271.533 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304271.533 * [misc]taylor: Taking taylor expansion of n in n 1554304271.533 * [misc]backup-simplify: Simplify 0 into 0 1554304271.533 * [misc]backup-simplify: Simplify 1 into 1 1554304271.533 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.533 * [misc]backup-simplify: Simplify PI into PI 1554304271.534 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304271.534 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304271.534 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304271.535 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304271.535 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.536 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304271.536 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304271.536 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304271.536 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.537 * [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)))) 1554304271.538 * [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))))) 1554304271.538 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of k in n 1554304271.538 * [misc]backup-simplify: Simplify k into k 1554304271.538 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.538 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304271.538 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304271.538 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304271.538 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.538 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304271.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.538 * [misc]taylor: Taking taylor expansion of k in n 1554304271.539 * [misc]backup-simplify: Simplify k into k 1554304271.539 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304271.539 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304271.539 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.539 * [misc]backup-simplify: Simplify 2 into 2 1554304271.539 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304271.539 * [misc]taylor: Taking taylor expansion of n in n 1554304271.539 * [misc]backup-simplify: Simplify 0 into 0 1554304271.539 * [misc]backup-simplify: Simplify 1 into 1 1554304271.539 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.539 * [misc]backup-simplify: Simplify PI into PI 1554304271.539 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304271.539 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304271.540 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304271.540 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304271.541 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.541 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304271.541 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304271.541 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304271.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.542 * [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)))) 1554304271.543 * [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))))) 1554304271.544 * [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))) 1554304271.544 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.544 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.544 * [misc]taylor: Taking taylor expansion of k in k 1554304271.544 * [misc]backup-simplify: Simplify 0 into 0 1554304271.544 * [misc]backup-simplify: Simplify 1 into 1 1554304271.544 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of n in k 1554304271.544 * [misc]backup-simplify: Simplify n into n 1554304271.544 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304271.544 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554304271.544 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.544 * [misc]backup-simplify: Simplify 2 into 2 1554304271.544 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.544 * [misc]backup-simplify: Simplify PI into PI 1554304271.545 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.545 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.545 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304271.546 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.546 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.546 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.547 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1554304271.547 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554304271.547 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304271.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.548 * [misc]taylor: Taking taylor expansion of k in k 1554304271.548 * [misc]backup-simplify: Simplify 0 into 0 1554304271.548 * [misc]backup-simplify: Simplify 1 into 1 1554304271.548 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304271.548 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304271.549 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1554304271.549 * [misc]backup-simplify: Simplify 0 into 0 1554304271.550 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304271.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304271.554 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304271.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304271.555 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.556 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.556 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554304271.558 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304271.559 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1554304271.559 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.559 * [misc]backup-simplify: Simplify 0 into 0 1554304271.560 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304271.560 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304271.563 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304271.563 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.564 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304271.564 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304271.564 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304271.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1554304271.566 * [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))))))) 1554304271.568 * [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))))))) 1554304271.569 * [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))))))) 1554304271.571 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.572 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554304271.577 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1554304271.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304271.578 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.578 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.579 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554304271.580 * [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 1554304271.580 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.581 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1554304271.581 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1554304271.581 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.581 * [misc]backup-simplify: Simplify 0 into 0 1554304271.581 * [misc]backup-simplify: Simplify 0 into 0 1554304271.582 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304271.582 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304271.583 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304271.584 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.587 * [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 1554304271.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.587 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304271.587 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.588 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554304271.589 * [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))))) 1554304271.592 * [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)))))))) 1554304271.593 * [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)))))))) 1554304271.595 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304271.596 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1554304271.601 * [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 1554304271.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554304271.601 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.602 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304271.602 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1554304271.604 * [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 1554304271.604 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.605 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1554304271.605 * [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 1554304271.605 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.605 * [misc]backup-simplify: Simplify 0 into 0 1554304271.605 * [misc]backup-simplify: Simplify 0 into 0 1554304271.605 * [misc]backup-simplify: Simplify 0 into 0 1554304271.606 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.606 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304271.608 * [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 1554304271.609 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.617 * [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 1554304271.617 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.618 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304271.618 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.619 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1554304271.623 * [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))))))) 1554304271.632 * [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)))))))))))))) 1554304271.639 * [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)))))))))))))) 1554304271.651 * [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)))))))))))))))))))))) 1554304271.651 * [misc]backup-simplify: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1554304271.651 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1554304271.651 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304271.651 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304271.651 * [misc]taylor: Taking taylor expansion of k in k 1554304271.651 * [misc]backup-simplify: Simplify 0 into 0 1554304271.651 * [misc]backup-simplify: Simplify 1 into 1 1554304271.652 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304271.652 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304271.652 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304271.652 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304271.652 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304271.652 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304271.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.652 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.652 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.652 * [misc]taylor: Taking taylor expansion of k in k 1554304271.653 * [misc]backup-simplify: Simplify 0 into 0 1554304271.653 * [misc]backup-simplify: Simplify 1 into 1 1554304271.653 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.653 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304271.653 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304271.653 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.653 * [misc]backup-simplify: Simplify 2 into 2 1554304271.653 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304271.653 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.653 * [misc]backup-simplify: Simplify PI into PI 1554304271.653 * [misc]taylor: Taking taylor expansion of n in k 1554304271.653 * [misc]backup-simplify: Simplify n into n 1554304271.653 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304271.653 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304271.653 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304271.653 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.654 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304271.654 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304271.654 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304271.654 * [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)))) 1554304271.654 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of k in n 1554304271.654 * [misc]backup-simplify: Simplify k into k 1554304271.654 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304271.654 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304271.654 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.654 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.655 * [misc]taylor: Taking taylor expansion of k in n 1554304271.655 * [misc]backup-simplify: Simplify k into k 1554304271.655 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.655 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304271.655 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304271.655 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.655 * [misc]backup-simplify: Simplify 2 into 2 1554304271.655 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.655 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.655 * [misc]backup-simplify: Simplify PI into PI 1554304271.655 * [misc]taylor: Taking taylor expansion of n in n 1554304271.655 * [misc]backup-simplify: Simplify 0 into 0 1554304271.655 * [misc]backup-simplify: Simplify 1 into 1 1554304271.655 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.655 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.656 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.656 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.656 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304271.656 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304271.657 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.657 * [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))) 1554304271.658 * [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)))) 1554304271.658 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304271.658 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304271.658 * [misc]taylor: Taking taylor expansion of k in n 1554304271.658 * [misc]backup-simplify: Simplify k into k 1554304271.658 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304271.658 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304271.658 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304271.658 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of k in n 1554304271.659 * [misc]backup-simplify: Simplify k into k 1554304271.659 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.659 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of 2 in n 1554304271.659 * [misc]backup-simplify: Simplify 2 into 2 1554304271.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.659 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.659 * [misc]backup-simplify: Simplify PI into PI 1554304271.659 * [misc]taylor: Taking taylor expansion of n in n 1554304271.659 * [misc]backup-simplify: Simplify 0 into 0 1554304271.659 * [misc]backup-simplify: Simplify 1 into 1 1554304271.659 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.660 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.660 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.660 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.660 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304271.660 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304271.661 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.662 * [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))) 1554304271.662 * [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)))) 1554304271.663 * [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)) 1554304271.663 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1554304271.663 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1554304271.663 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1554304271.663 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304271.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.663 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.664 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.664 * [misc]taylor: Taking taylor expansion of k in k 1554304271.664 * [misc]backup-simplify: Simplify 0 into 0 1554304271.664 * [misc]backup-simplify: Simplify 1 into 1 1554304271.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.664 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1554304271.664 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554304271.664 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554304271.664 * [misc]taylor: Taking taylor expansion of 2 in k 1554304271.664 * [misc]backup-simplify: Simplify 2 into 2 1554304271.664 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.664 * [misc]backup-simplify: Simplify PI into PI 1554304271.664 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304271.665 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304271.665 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304271.665 * [misc]taylor: Taking taylor expansion of n in k 1554304271.665 * [misc]backup-simplify: Simplify n into n 1554304271.665 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304271.665 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.665 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304271.665 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304271.666 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304271.667 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1554304271.668 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1554304271.668 * [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)))) 1554304271.668 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304271.668 * [misc]taylor: Taking taylor expansion of k in k 1554304271.668 * [misc]backup-simplify: Simplify 0 into 0 1554304271.668 * [misc]backup-simplify: Simplify 1 into 1 1554304271.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304271.669 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304271.670 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1554304271.670 * [misc]backup-simplify: Simplify 0 into 0 1554304271.671 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304271.671 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304271.674 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304271.674 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304271.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304271.675 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.675 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.676 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554304271.678 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304271.678 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1554304271.678 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.679 * [misc]backup-simplify: Simplify 0 into 0 1554304271.679 * [misc]backup-simplify: Simplify 0 into 0 1554304271.679 * [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)))))) 1554304271.680 * [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)))))) 1554304271.681 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.682 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.688 * [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 1554304271.688 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.688 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304271.688 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.689 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.690 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1554304271.692 * [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 1554304271.693 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1554304271.694 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1554304271.694 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.694 * [misc]backup-simplify: Simplify 0 into 0 1554304271.694 * [misc]backup-simplify: Simplify 0 into 0 1554304271.694 * [misc]backup-simplify: Simplify 0 into 0 1554304271.695 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304271.696 * [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)))))) 1554304271.697 * [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)))))) 1554304271.699 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.700 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304271.709 * [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 1554304271.709 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.709 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304271.709 * [misc]backup-simplify: Simplify (- 0) into 0 1554304271.709 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.710 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304271.710 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1554304271.713 * [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 1554304271.713 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1554304271.713 * [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 1554304271.713 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.714 * [misc]backup-simplify: Simplify 0 into 0 1554304271.714 * [misc]backup-simplify: Simplify 0 into 0 1554304271.714 * [misc]backup-simplify: Simplify 0 into 0 1554304271.714 * [misc]backup-simplify: Simplify 0 into 0 1554304271.714 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304271.715 * [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)))))) 1554304271.715 * [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)))))) 1554304271.717 * [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)))))))) 1554304271.717 * [misc]backup-simplify: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1554304271.717 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1554304271.717 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.717 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of k in k 1554304271.717 * [misc]backup-simplify: Simplify 0 into 0 1554304271.717 * [misc]backup-simplify: Simplify 1 into 1 1554304271.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.717 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304271.717 * [misc]taylor: Taking taylor expansion of -2 in k 1554304271.718 * [misc]backup-simplify: Simplify -2 into -2 1554304271.718 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304271.718 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.718 * [misc]backup-simplify: Simplify PI into PI 1554304271.718 * [misc]taylor: Taking taylor expansion of n in k 1554304271.718 * [misc]backup-simplify: Simplify n into n 1554304271.718 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304271.718 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304271.718 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304271.718 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.718 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.718 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304271.718 * [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))) 1554304271.718 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304271.718 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304271.718 * [misc]taylor: Taking taylor expansion of -1 in k 1554304271.718 * [misc]backup-simplify: Simplify -1 into -1 1554304271.718 * [misc]taylor: Taking taylor expansion of k in k 1554304271.718 * [misc]backup-simplify: Simplify 0 into 0 1554304271.718 * [misc]backup-simplify: Simplify 1 into 1 1554304271.718 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304271.718 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304271.719 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304271.719 * [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)))) 1554304271.719 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of k in n 1554304271.719 * [misc]backup-simplify: Simplify k into k 1554304271.719 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.719 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of -2 in n 1554304271.719 * [misc]backup-simplify: Simplify -2 into -2 1554304271.719 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.719 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.719 * [misc]backup-simplify: Simplify PI into PI 1554304271.719 * [misc]taylor: Taking taylor expansion of n in n 1554304271.719 * [misc]backup-simplify: Simplify 0 into 0 1554304271.719 * [misc]backup-simplify: Simplify 1 into 1 1554304271.720 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.720 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.720 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304271.720 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.720 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304271.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.721 * [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))) 1554304271.721 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1554304271.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304271.721 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304271.721 * [misc]taylor: Taking taylor expansion of -1 in n 1554304271.721 * [misc]backup-simplify: Simplify -1 into -1 1554304271.721 * [misc]taylor: Taking taylor expansion of k in n 1554304271.722 * [misc]backup-simplify: Simplify k into k 1554304271.722 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304271.722 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304271.722 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304271.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304271.722 * [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))) 1554304271.722 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of k in n 1554304271.722 * [misc]backup-simplify: Simplify k into k 1554304271.722 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304271.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304271.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.722 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304271.722 * [misc]taylor: Taking taylor expansion of -2 in n 1554304271.722 * [misc]backup-simplify: Simplify -2 into -2 1554304271.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304271.723 * [misc]taylor: Taking taylor expansion of PI in n 1554304271.723 * [misc]backup-simplify: Simplify PI into PI 1554304271.723 * [misc]taylor: Taking taylor expansion of n in n 1554304271.723 * [misc]backup-simplify: Simplify 0 into 0 1554304271.723 * [misc]backup-simplify: Simplify 1 into 1 1554304271.723 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304271.723 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.723 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304271.723 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304271.723 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304271.724 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.724 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304271.724 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1554304271.725 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304271.725 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304271.725 * [misc]taylor: Taking taylor expansion of -1 in n 1554304271.725 * [misc]backup-simplify: Simplify -1 into -1 1554304271.725 * [misc]taylor: Taking taylor expansion of k in n 1554304271.725 * [misc]backup-simplify: Simplify k into k 1554304271.725 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304271.725 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304271.725 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304271.725 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304271.725 * [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))) 1554304271.725 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1554304271.725 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1554304271.725 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1554304271.725 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304271.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304271.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304271.725 * [misc]taylor: Taking taylor expansion of k in k 1554304271.725 * [misc]backup-simplify: Simplify 0 into 0 1554304271.726 * [misc]backup-simplify: Simplify 1 into 1 1554304271.726 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304271.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304271.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304271.726 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1554304271.726 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1554304271.726 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1554304271.726 * [misc]taylor: Taking taylor expansion of -2 in k 1554304271.726 * [misc]backup-simplify: Simplify -2 into -2 1554304271.726 * [misc]taylor: Taking taylor expansion of PI in k 1554304271.726 * [misc]backup-simplify: Simplify PI into PI 1554304271.726 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304271.726 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304271.726 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304271.726 * [misc]taylor: Taking taylor expansion of n in k 1554304271.726 * [misc]backup-simplify: Simplify n into n 1554304271.726 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304271.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304271.727 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304271.727 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304271.727 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1554304271.727 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1554304271.728 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1554304271.728 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304271.728 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304271.728 * [misc]taylor: Taking taylor expansion of -1 in k 1554304271.728 * [misc]backup-simplify: Simplify -1 into -1 1554304271.728 * [misc]taylor: Taking taylor expansion of k in k 1554304271.728 * [misc]backup-simplify: Simplify 0 into 0 1554304271.728 * [misc]backup-simplify: Simplify 1 into 1 1554304271.728 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304271.728 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304271.728 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304271.729 * [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))))) 1554304271.729 * [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))))) 1554304271.730 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304271.730 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304271.732 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554304271.732 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304271.732 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304271.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.733 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1554304271.734 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304271.735 * [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 1554304271.735 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.735 * [misc]backup-simplify: Simplify 0 into 0 1554304271.735 * [misc]backup-simplify: Simplify 0 into 0 1554304271.735 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304271.736 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304271.736 * [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)))))) 1554304271.737 * [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)))))) 1554304271.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.738 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304271.742 * [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 1554304271.742 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.742 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304271.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304271.743 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304271.744 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1554304271.746 * [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 1554304271.747 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304271.747 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554304271.748 * [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 1554304271.748 * [misc]taylor: Taking taylor expansion of 0 in k 1554304271.748 * [misc]backup-simplify: Simplify 0 into 0 1554304271.748 * [misc]backup-simplify: Simplify 0 into 0 1554304271.748 * [misc]backup-simplify: Simplify 0 into 0 1554304271.749 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304271.750 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304271.752 * [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)))))) 1554304271.752 * [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)))))) 1554304271.755 * [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))))))))))) 1554304271.755 * * * [misc]progress: simplifying candidates 1554304271.755 * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # 1554304271.755 * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # 1554304271.755 * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # 1554304271.756 * [enter]simplify: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) 1554304271.756 * * [misc]simplify: iters left: 6 (11 enodes) 1554304271.762 * * [misc]simplify: iters left: 5 (43 enodes) 1554304271.776 * * [misc]simplify: iters left: 4 (79 enodes) 1554304271.793 * * [misc]simplify: iters left: 3 (178 enodes) 1554304271.865 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304271.865 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554304271.866 * * [misc]simplify: Extracting #2: cost 115 inf + 1 1554304271.867 * * [misc]simplify: Extracting #3: cost 122 inf + 547 1554304271.869 * * [misc]simplify: Extracting #4: cost 98 inf + 3382 1554304271.875 * * [misc]simplify: Extracting #5: cost 29 inf + 17882 1554304271.886 * * [misc]simplify: Extracting #6: cost 1 inf + 26098 1554304271.900 * * [misc]simplify: Extracting #7: cost 0 inf + 26523 1554304271.908 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) 1554304271.908 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))) 1554304271.909 * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # 1554304271.909 * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # 1554304271.909 * [enter]simplify: Simplifying (* (* n 2) PI) 1554304271.909 * * [misc]simplify: iters left: 4 (5 enodes) 1554304271.911 * * [misc]simplify: iters left: 3 (19 enodes) 1554304271.914 * * [misc]simplify: iters left: 2 (27 enodes) 1554304271.918 * * [misc]simplify: iters left: 1 (32 enodes) 1554304271.922 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304271.922 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304271.922 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304271.922 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304271.922 * [exit]simplify: Simplified to (* (* n 2) PI) 1554304271.922 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1554304271.922 * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # 1554304271.922 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554304271.922 * * [misc]simplify: iters left: 5 (8 enodes) 1554304271.924 * * [misc]simplify: iters left: 4 (28 enodes) 1554304271.928 * * [misc]simplify: iters left: 3 (36 enodes) 1554304271.934 * * [misc]simplify: iters left: 2 (41 enodes) 1554304271.944 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304271.945 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304271.945 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304271.945 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304271.945 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554304271.946 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554304271.946 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554304271.946 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1554304271.946 * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # 1554304271.947 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554304271.947 * * [misc]simplify: iters left: 5 (6 enodes) 1554304271.950 * * [misc]simplify: iters left: 4 (20 enodes) 1554304271.957 * * [misc]simplify: iters left: 3 (25 enodes) 1554304271.965 * * [misc]simplify: iters left: 2 (27 enodes) 1554304271.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304271.973 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304271.973 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304271.973 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304271.973 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304271.973 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304271.973 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554304271.974 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554304271.974 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554304271.974 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1554304271.974 * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # 1554304271.975 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554304271.975 * * [misc]simplify: iters left: 5 (6 enodes) 1554304271.978 * * [misc]simplify: iters left: 4 (20 enodes) 1554304271.984 * * [misc]simplify: iters left: 3 (25 enodes) 1554304271.992 * * [misc]simplify: iters left: 2 (27 enodes) 1554304272.000 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.000 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304272.000 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304272.000 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304272.000 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304272.001 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304272.001 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554304272.001 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554304272.001 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554304272.002 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1554304272.002 * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # 1554304272.002 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554304272.002 * * [misc]simplify: iters left: 4 (5 enodes) 1554304272.005 * * [misc]simplify: iters left: 3 (17 enodes) 1554304272.011 * * [misc]simplify: iters left: 2 (22 enodes) 1554304272.018 * * [misc]simplify: iters left: 1 (24 enodes) 1554304272.025 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.025 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304272.025 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304272.025 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554304272.026 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554304272.026 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554304272.026 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k))) 1554304272.026 * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # 1554304272.026 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554304272.026 * * [misc]simplify: iters left: 5 (9 enodes) 1554304272.033 * * [misc]simplify: iters left: 4 (33 enodes) 1554304272.043 * * [misc]simplify: iters left: 3 (43 enodes) 1554304272.052 * * [misc]simplify: iters left: 2 (48 enodes) 1554304272.059 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.059 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304272.059 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304272.059 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554304272.059 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554304272.059 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554304272.060 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554304272.060 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554304272.060 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1554304272.060 * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # 1554304272.060 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554304272.060 * * [misc]simplify: iters left: 5 (9 enodes) 1554304272.063 * * [misc]simplify: iters left: 4 (33 enodes) 1554304272.067 * * [misc]simplify: iters left: 3 (43 enodes) 1554304272.073 * * [misc]simplify: iters left: 2 (48 enodes) 1554304272.081 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.081 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304272.081 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304272.081 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554304272.081 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554304272.082 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554304272.082 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554304272.083 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554304272.083 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1554304272.083 * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # 1554304272.083 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554304272.083 * * [misc]simplify: iters left: 5 (8 enodes) 1554304272.087 * * [misc]simplify: iters left: 4 (27 enodes) 1554304272.095 * * [misc]simplify: iters left: 3 (32 enodes) 1554304272.105 * * [misc]simplify: iters left: 2 (34 enodes) 1554304272.115 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.115 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304272.115 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554304272.115 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554304272.115 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554304272.116 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554304272.116 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554304272.116 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304272.116 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1554304272.117 * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate #real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))> 1554304272.117 * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 23 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # 1554304272.117 * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate #real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> 1554304272.118 * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # 1554304272.118 * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # 1554304272.118 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304272.118 * * [misc]simplify: iters left: 6 (14 enodes) 1554304272.125 * * [misc]simplify: iters left: 5 (55 enodes) 1554304272.134 * * [misc]simplify: iters left: 4 (95 enodes) 1554304272.153 * * [misc]simplify: iters left: 3 (217 enodes) 1554304272.233 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.234 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1554304272.234 * * [misc]simplify: Extracting #2: cost 144 inf + 1 1554304272.235 * * [misc]simplify: Extracting #3: cost 177 inf + 2 1554304272.235 * * [misc]simplify: Extracting #4: cost 168 inf + 620 1554304272.237 * * [misc]simplify: Extracting #5: cost 111 inf + 10524 1554304272.244 * * [misc]simplify: Extracting #6: cost 13 inf + 42678 1554304272.254 * * [misc]simplify: Extracting #7: cost 0 inf + 45688 1554304272.264 * * [misc]simplify: Extracting #8: cost 0 inf + 45673 1554304272.282 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1554304272.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1554304272.282 * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # 1554304272.283 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304272.283 * * [misc]simplify: iters left: 6 (14 enodes) 1554304272.290 * * [misc]simplify: iters left: 5 (55 enodes) 1554304272.307 * * [misc]simplify: iters left: 4 (95 enodes) 1554304272.344 * * [misc]simplify: iters left: 3 (217 enodes) 1554304272.430 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.430 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1554304272.431 * * [misc]simplify: Extracting #2: cost 144 inf + 1 1554304272.432 * * [misc]simplify: Extracting #3: cost 177 inf + 2 1554304272.434 * * [misc]simplify: Extracting #4: cost 168 inf + 620 1554304272.438 * * [misc]simplify: Extracting #5: cost 111 inf + 10524 1554304272.451 * * [misc]simplify: Extracting #6: cost 13 inf + 42678 1554304272.463 * * [misc]simplify: Extracting #7: cost 0 inf + 45688 1554304272.473 * * [misc]simplify: Extracting #8: cost 0 inf + 45673 1554304272.483 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1554304272.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1554304272.483 * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # 1554304272.483 * [enter]simplify: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554304272.484 * * [misc]simplify: iters left: 6 (14 enodes) 1554304272.487 * * [misc]simplify: iters left: 5 (52 enodes) 1554304272.497 * * [misc]simplify: iters left: 4 (79 enodes) 1554304272.509 * * [misc]simplify: iters left: 3 (130 enodes) 1554304272.546 * * [misc]simplify: iters left: 2 (312 enodes) 1554304272.790 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304272.790 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1554304272.791 * * [misc]simplify: Extracting #2: cost 238 inf + 1 1554304272.792 * * [misc]simplify: Extracting #3: cost 241 inf + 729 1554304272.795 * * [misc]simplify: Extracting #4: cost 179 inf + 13186 1554304272.808 * * [misc]simplify: Extracting #5: cost 28 inf + 65958 1554304272.824 * * [misc]simplify: Extracting #6: cost 0 inf + 76840 1554304272.854 * * [misc]simplify: Extracting #7: cost 0 inf + 76795 1554304272.890 * [exit]simplify: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304272.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1554304272.891 * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # 1554304272.891 * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # 1554304272.891 * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # 1554304272.891 * [enter]simplify: Simplifying (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1554304272.892 * * [misc]simplify: iters left: 6 (16 enodes) 1554304272.900 * * [misc]simplify: iters left: 5 (61 enodes) 1554304272.919 * * [misc]simplify: iters left: 4 (113 enodes) 1554304272.957 * * [misc]simplify: iters left: 3 (185 enodes) 1554304272.989 * * [misc]simplify: iters left: 2 (215 enodes) 1554304273.047 * * [misc]simplify: iters left: 1 (221 enodes) 1554304273.092 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.093 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554304273.093 * * [misc]simplify: Extracting #2: cost 41 inf + 123 1554304273.093 * * [misc]simplify: Extracting #3: cost 49 inf + 246 1554304273.093 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554304273.093 * * [misc]simplify: Extracting #5: cost 39 inf + 1291 1554304273.097 * * [misc]simplify: Extracting #6: cost 5 inf + 15749 1554304273.100 * * [misc]simplify: Extracting #7: cost 0 inf + 18264 1554304273.104 * [exit]simplify: Simplified to (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) k)) 1554304273.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) k)))) 1554304273.104 * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # 1554304273.104 * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # 1554304273.104 * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # 1554304273.104 * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # 1554304273.104 * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # 1554304273.105 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.105 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.108 * * [misc]simplify: iters left: 5 (43 enodes) 1554304273.114 * * [misc]simplify: iters left: 4 (53 enodes) 1554304273.122 * * [misc]simplify: iters left: 3 (59 enodes) 1554304273.130 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.130 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304273.130 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304273.130 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304273.130 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1554304273.130 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1554304273.131 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1554304273.132 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1554304273.133 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1554304273.133 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1554304273.133 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.139 * * [misc]simplify: iters left: 5 (42 enodes) 1554304273.151 * * [misc]simplify: iters left: 4 (52 enodes) 1554304273.166 * * [misc]simplify: iters left: 3 (58 enodes) 1554304273.181 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.181 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.181 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.181 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304273.181 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554304273.182 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1554304273.182 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554304273.183 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554304273.184 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1554304273.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1554304273.184 * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # 1554304273.185 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1554304273.185 * * [misc]simplify: iters left: 6 (11 enodes) 1554304273.190 * * [misc]simplify: iters left: 5 (38 enodes) 1554304273.199 * * [misc]simplify: iters left: 4 (46 enodes) 1554304273.206 * * [misc]simplify: iters left: 3 (51 enodes) 1554304273.213 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.213 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.213 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.213 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304273.213 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554304273.214 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1554304273.214 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554304273.214 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554304273.214 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1554304273.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1554304273.215 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1554304273.215 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.217 * * [misc]simplify: iters left: 5 (42 enodes) 1554304273.223 * * [misc]simplify: iters left: 4 (52 enodes) 1554304273.236 * * [misc]simplify: iters left: 3 (58 enodes) 1554304273.251 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.251 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.251 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.251 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304273.251 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554304273.252 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1554304273.252 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554304273.253 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554304273.254 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1554304273.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1554304273.254 * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # 1554304273.254 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1554304273.255 * * [misc]simplify: iters left: 6 (9 enodes) 1554304273.260 * * [misc]simplify: iters left: 5 (32 enodes) 1554304273.271 * * [misc]simplify: iters left: 4 (44 enodes) 1554304273.283 * * [misc]simplify: iters left: 3 (49 enodes) 1554304273.294 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.295 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304273.295 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1554304273.295 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1554304273.295 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1554304273.295 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1554304273.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554304273.295 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554304273.295 * * [misc]simplify: iters left: 6 (11 enodes) 1554304273.298 * * [misc]simplify: iters left: 5 (39 enodes) 1554304273.304 * * [misc]simplify: iters left: 4 (49 enodes) 1554304273.310 * * [misc]simplify: iters left: 3 (54 enodes) 1554304273.317 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.317 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.317 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.317 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1554304273.318 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1554304273.319 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1554304273.319 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554304273.319 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554304273.319 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554304273.319 * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # 1554304273.320 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.320 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.326 * * [misc]simplify: iters left: 5 (43 enodes) 1554304273.338 * * [misc]simplify: iters left: 4 (53 enodes) 1554304273.353 * * [misc]simplify: iters left: 3 (59 enodes) 1554304273.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.363 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304273.363 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304273.363 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304273.363 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1554304273.363 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1554304273.364 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1554304273.364 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1554304273.364 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1554304273.365 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1554304273.365 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.368 * * [misc]simplify: iters left: 5 (42 enodes) 1554304273.374 * * [misc]simplify: iters left: 4 (52 enodes) 1554304273.381 * * [misc]simplify: iters left: 3 (58 enodes) 1554304273.388 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.388 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.388 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.388 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304273.388 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554304273.388 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1554304273.389 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554304273.389 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554304273.390 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1554304273.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1554304273.390 * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # 1554304273.391 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1554304273.391 * * [misc]simplify: iters left: 6 (11 enodes) 1554304273.397 * * [misc]simplify: iters left: 5 (38 enodes) 1554304273.408 * * [misc]simplify: iters left: 4 (46 enodes) 1554304273.422 * * [misc]simplify: iters left: 3 (51 enodes) 1554304273.435 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.435 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.435 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.435 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304273.435 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554304273.437 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1554304273.438 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554304273.439 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554304273.440 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1554304273.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1554304273.440 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1554304273.440 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.443 * * [misc]simplify: iters left: 5 (42 enodes) 1554304273.450 * * [misc]simplify: iters left: 4 (52 enodes) 1554304273.457 * * [misc]simplify: iters left: 3 (58 enodes) 1554304273.464 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.464 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.464 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.464 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304273.464 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554304273.464 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1554304273.465 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554304273.465 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554304273.466 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1554304273.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1554304273.466 * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # 1554304273.466 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1554304273.466 * * [misc]simplify: iters left: 6 (9 enodes) 1554304273.469 * * [misc]simplify: iters left: 5 (32 enodes) 1554304273.475 * * [misc]simplify: iters left: 4 (44 enodes) 1554304273.488 * * [misc]simplify: iters left: 3 (49 enodes) 1554304273.500 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.501 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304273.501 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1554304273.501 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1554304273.501 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1554304273.502 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1554304273.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554304273.502 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554304273.502 * * [misc]simplify: iters left: 6 (11 enodes) 1554304273.507 * * [misc]simplify: iters left: 5 (39 enodes) 1554304273.519 * * [misc]simplify: iters left: 4 (49 enodes) 1554304273.532 * * [misc]simplify: iters left: 3 (54 enodes) 1554304273.544 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.544 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.544 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.544 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1554304273.544 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1554304273.544 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1554304273.545 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554304273.545 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554304273.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554304273.545 * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # 1554304273.546 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.546 * * [misc]simplify: iters left: 6 (12 enodes) 1554304273.549 * * [misc]simplify: iters left: 5 (41 enodes) 1554304273.556 * * [misc]simplify: iters left: 4 (48 enodes) 1554304273.563 * * [misc]simplify: iters left: 3 (50 enodes) 1554304273.570 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.570 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304273.570 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304273.570 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304273.570 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554304273.570 * * [misc]simplify: Extracting #5: cost 8 inf + 1494 1554304273.570 * * [misc]simplify: Extracting #6: cost 2 inf + 2926 1554304273.571 * * [misc]simplify: Extracting #7: cost 0 inf + 3954 1554304273.571 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1554304273.572 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304273.572 * * [misc]simplify: iters left: 6 (10 enodes) 1554304273.574 * * [misc]simplify: iters left: 5 (32 enodes) 1554304273.581 * * [misc]simplify: iters left: 4 (37 enodes) 1554304273.592 * * [misc]simplify: iters left: 3 (39 enodes) 1554304273.603 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.603 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.603 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.603 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304273.604 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304273.604 * * [misc]simplify: Extracting #5: cost 11 inf + 369 1554304273.604 * * [misc]simplify: Extracting #6: cost 6 inf + 659 1554304273.605 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554304273.605 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304273.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1554304273.605 * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # 1554304273.606 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304273.606 * * [misc]simplify: iters left: 6 (11 enodes) 1554304273.611 * * [misc]simplify: iters left: 5 (36 enodes) 1554304273.622 * * [misc]simplify: iters left: 4 (41 enodes) 1554304273.628 * * [misc]simplify: iters left: 3 (43 enodes) 1554304273.633 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.634 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.634 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.634 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304273.634 * * [misc]simplify: Extracting #4: cost 12 inf + 291 1554304273.634 * * [misc]simplify: Extracting #5: cost 4 inf + 1121 1554304273.634 * * [misc]simplify: Extracting #6: cost 0 inf + 2404 1554304273.635 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304273.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1554304273.635 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304273.635 * * [misc]simplify: iters left: 6 (10 enodes) 1554304273.637 * * [misc]simplify: iters left: 5 (32 enodes) 1554304273.642 * * [misc]simplify: iters left: 4 (37 enodes) 1554304273.648 * * [misc]simplify: iters left: 3 (39 enodes) 1554304273.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.654 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.654 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.654 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304273.655 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304273.655 * * [misc]simplify: Extracting #5: cost 11 inf + 289 1554304273.655 * * [misc]simplify: Extracting #6: cost 6 inf + 579 1554304273.655 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304273.655 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304273.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1554304273.655 * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # 1554304273.656 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1554304273.656 * * [misc]simplify: iters left: 6 (10 enodes) 1554304273.659 * * [misc]simplify: iters left: 5 (33 enodes) 1554304273.664 * * [misc]simplify: iters left: 4 (40 enodes) 1554304273.670 * * [misc]simplify: iters left: 3 (42 enodes) 1554304273.676 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.676 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304273.676 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304273.676 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304273.676 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554304273.676 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554304273.677 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304273.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1554304273.677 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1554304273.677 * * [misc]simplify: iters left: 6 (9 enodes) 1554304273.679 * * [misc]simplify: iters left: 5 (29 enodes) 1554304273.687 * * [misc]simplify: iters left: 4 (34 enodes) 1554304273.698 * * [misc]simplify: iters left: 3 (36 enodes) 1554304273.708 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.708 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.708 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304273.708 * * [misc]simplify: Extracting #3: cost 9 inf + 84 1554304273.708 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304273.709 * * [misc]simplify: Extracting #5: cost 10 inf + 209 1554304273.709 * * [misc]simplify: Extracting #6: cost 6 inf + 457 1554304273.709 * * [misc]simplify: Extracting #7: cost 1 inf + 1624 1554304273.710 * * [misc]simplify: Extracting #8: cost 0 inf + 1918 1554304273.710 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1554304273.710 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1554304273.710 * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # 1554304273.711 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304273.711 * * [misc]simplify: iters left: 6 (16 enodes) 1554304273.719 * * [misc]simplify: iters left: 5 (60 enodes) 1554304273.737 * * [misc]simplify: iters left: 4 (88 enodes) 1554304273.763 * * [misc]simplify: iters left: 3 (102 enodes) 1554304273.791 * * [misc]simplify: iters left: 2 (105 enodes) 1554304273.807 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.807 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304273.807 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304273.807 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554304273.808 * * [misc]simplify: Extracting #4: cost 35 inf + 163 1554304273.808 * * [misc]simplify: Extracting #5: cost 32 inf + 693 1554304273.808 * * [misc]simplify: Extracting #6: cost 20 inf + 1775 1554304273.809 * * [misc]simplify: Extracting #7: cost 3 inf + 10110 1554304273.811 * * [misc]simplify: Extracting #8: cost 0 inf + 11915 1554304273.812 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1554304273.812 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304273.812 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304273.813 * * [misc]simplify: iters left: 6 (14 enodes) 1554304273.816 * * [misc]simplify: iters left: 5 (48 enodes) 1554304273.823 * * [misc]simplify: iters left: 4 (61 enodes) 1554304273.835 * * [misc]simplify: iters left: 3 (69 enodes) 1554304273.852 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.852 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.853 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304273.853 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304273.853 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304273.853 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1554304273.853 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1554304273.854 * * [misc]simplify: Extracting #7: cost 1 inf + 3518 1554304273.855 * * [misc]simplify: Extracting #8: cost 0 inf + 4133 1554304273.857 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304273.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304273.857 * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # 1554304273.857 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554304273.857 * * [misc]simplify: iters left: 6 (15 enodes) 1554304273.861 * * [misc]simplify: iters left: 5 (53 enodes) 1554304273.869 * * [misc]simplify: iters left: 4 (70 enodes) 1554304273.881 * * [misc]simplify: iters left: 3 (80 enodes) 1554304273.892 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.892 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304273.892 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304273.892 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304273.892 * * [misc]simplify: Extracting #4: cost 25 inf + 245 1554304273.893 * * [misc]simplify: Extracting #5: cost 27 inf + 249 1554304273.893 * * [misc]simplify: Extracting #6: cost 15 inf + 1542 1554304273.895 * * [misc]simplify: Extracting #7: cost 1 inf + 6768 1554304273.896 * * [misc]simplify: Extracting #8: cost 0 inf + 7343 1554304273.898 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554304273.898 * [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)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1554304273.899 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304273.899 * * [misc]simplify: iters left: 6 (14 enodes) 1554304273.906 * * [misc]simplify: iters left: 5 (48 enodes) 1554304273.921 * * [misc]simplify: iters left: 4 (61 enodes) 1554304273.938 * * [misc]simplify: iters left: 3 (69 enodes) 1554304273.955 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304273.955 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304273.955 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304273.956 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304273.956 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304273.956 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1554304273.956 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1554304273.958 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1554304273.959 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1554304273.960 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304273.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1554304273.960 * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # 1554304273.960 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) 1554304273.960 * * [misc]simplify: iters left: 6 (14 enodes) 1554304273.968 * * [misc]simplify: iters left: 5 (50 enodes) 1554304273.984 * * [misc]simplify: iters left: 4 (73 enodes) 1554304274.004 * * [misc]simplify: iters left: 3 (81 enodes) 1554304274.027 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.027 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304274.027 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304274.027 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304274.028 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1554304274.028 * * [misc]simplify: Extracting #5: cost 24 inf + 5 1554304274.028 * * [misc]simplify: Extracting #6: cost 12 inf + 1046 1554304274.029 * * [misc]simplify: Extracting #7: cost 2 inf + 3571 1554304274.030 * * [misc]simplify: Extracting #8: cost 0 inf + 4562 1554304274.032 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1554304274.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1554304274.032 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554304274.032 * * [misc]simplify: iters left: 6 (13 enodes) 1554304274.039 * * [misc]simplify: iters left: 5 (45 enodes) 1554304274.053 * * [misc]simplify: iters left: 4 (58 enodes) 1554304274.063 * * [misc]simplify: iters left: 3 (65 enodes) 1554304274.072 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.072 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.072 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304274.072 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304274.072 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1554304274.072 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1554304274.072 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1554304274.073 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554304274.073 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554304274.074 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554304274.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1554304274.074 * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # 1554304274.074 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304274.074 * * [misc]simplify: iters left: 6 (15 enodes) 1554304274.078 * * [misc]simplify: iters left: 5 (53 enodes) 1554304274.085 * * [misc]simplify: iters left: 4 (68 enodes) 1554304274.101 * * [misc]simplify: iters left: 3 (75 enodes) 1554304274.120 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.121 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304274.121 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304274.121 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304274.121 * * [misc]simplify: Extracting #4: cost 26 inf + 42 1554304274.121 * * [misc]simplify: Extracting #5: cost 24 inf + 530 1554304274.122 * * [misc]simplify: Extracting #6: cost 11 inf + 1944 1554304274.123 * * [misc]simplify: Extracting #7: cost 0 inf + 5525 1554304274.124 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304274.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304274.125 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304274.125 * * [misc]simplify: iters left: 6 (14 enodes) 1554304274.128 * * [misc]simplify: iters left: 5 (48 enodes) 1554304274.137 * * [misc]simplify: iters left: 4 (61 enodes) 1554304274.146 * * [misc]simplify: iters left: 3 (69 enodes) 1554304274.155 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.155 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.155 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304274.155 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304274.155 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304274.155 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1554304274.155 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1554304274.156 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1554304274.156 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1554304274.157 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304274.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304274.157 * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # 1554304274.157 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304274.157 * * [misc]simplify: iters left: 6 (14 enodes) 1554304274.161 * * [misc]simplify: iters left: 5 (48 enodes) 1554304274.175 * * [misc]simplify: iters left: 4 (61 enodes) 1554304274.189 * * [misc]simplify: iters left: 3 (69 enodes) 1554304274.198 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.198 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.198 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304274.198 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304274.198 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304274.198 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1554304274.198 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1554304274.199 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1554304274.199 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1554304274.200 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304274.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1554304274.200 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304274.200 * * [misc]simplify: iters left: 6 (14 enodes) 1554304274.203 * * [misc]simplify: iters left: 5 (48 enodes) 1554304274.211 * * [misc]simplify: iters left: 4 (61 enodes) 1554304274.222 * * [misc]simplify: iters left: 3 (69 enodes) 1554304274.231 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.231 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.231 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304274.231 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304274.231 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304274.232 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1554304274.232 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1554304274.232 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1554304274.233 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1554304274.234 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304274.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1554304274.234 * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # 1554304274.235 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) 1554304274.235 * * [misc]simplify: iters left: 6 (13 enodes) 1554304274.242 * * [misc]simplify: iters left: 5 (45 enodes) 1554304274.256 * * [misc]simplify: iters left: 4 (60 enodes) 1554304274.272 * * [misc]simplify: iters left: 3 (67 enodes) 1554304274.281 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.281 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.281 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304274.281 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304274.281 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1554304274.281 * * [misc]simplify: Extracting #5: cost 4 inf + 1254 1554304274.282 * * [misc]simplify: Extracting #6: cost 1 inf + 2085 1554304274.282 * * [misc]simplify: Extracting #7: cost 0 inf + 2500 1554304274.283 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1554304274.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1554304274.283 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554304274.283 * * [misc]simplify: iters left: 6 (13 enodes) 1554304274.286 * * [misc]simplify: iters left: 5 (45 enodes) 1554304274.293 * * [misc]simplify: iters left: 4 (58 enodes) 1554304274.309 * * [misc]simplify: iters left: 3 (65 enodes) 1554304274.326 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.326 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.326 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304274.326 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304274.326 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1554304274.326 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1554304274.327 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1554304274.328 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1554304274.329 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1554304274.330 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554304274.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1554304274.330 * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # 1554304274.330 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304274.330 * * [misc]simplify: iters left: 6 (6 enodes) 1554304274.334 * * [misc]simplify: iters left: 5 (22 enodes) 1554304274.343 * * [misc]simplify: iters left: 4 (26 enodes) 1554304274.351 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.351 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304274.351 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304274.351 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304274.352 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1554304274.352 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1554304274.352 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554304274.353 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304274.353 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1554304274.353 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304274.353 * * [misc]simplify: iters left: 6 (13 enodes) 1554304274.360 * * [misc]simplify: iters left: 5 (45 enodes) 1554304274.370 * * [misc]simplify: iters left: 4 (58 enodes) 1554304274.378 * * [misc]simplify: iters left: 3 (65 enodes) 1554304274.387 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.387 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.387 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304274.387 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304274.387 * * [misc]simplify: Extracting #4: cost 18 inf + 333 1554304274.387 * * [misc]simplify: Extracting #5: cost 6 inf + 1411 1554304274.388 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1554304274.388 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1554304274.388 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304274.389 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1554304274.389 * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # 1554304274.389 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1554304274.389 * * [misc]simplify: iters left: 4 (5 enodes) 1554304274.390 * * [misc]simplify: iters left: 3 (17 enodes) 1554304274.393 * * [misc]simplify: iters left: 2 (19 enodes) 1554304274.396 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.396 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.396 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304274.396 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304274.396 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1554304274.396 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554304274.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1554304274.396 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304274.396 * * [misc]simplify: iters left: 6 (13 enodes) 1554304274.399 * * [misc]simplify: iters left: 5 (45 enodes) 1554304274.411 * * [misc]simplify: iters left: 4 (58 enodes) 1554304274.428 * * [misc]simplify: iters left: 3 (65 enodes) 1554304274.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.445 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.445 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304274.445 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304274.445 * * [misc]simplify: Extracting #4: cost 18 inf + 293 1554304274.446 * * [misc]simplify: Extracting #5: cost 6 inf + 1331 1554304274.447 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1554304274.448 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1554304274.448 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304274.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1554304274.449 * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # 1554304274.449 * [enter]simplify: Simplifying (/ 1 1) 1554304274.449 * * [misc]simplify: iters left: 2 (2 enodes) 1554304274.451 * * [misc]simplify: iters left: 1 (6 enodes) 1554304274.453 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.453 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304274.453 * [exit]simplify: Simplified to 1 1554304274.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1554304274.453 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1554304274.453 * * [misc]simplify: iters left: 6 (12 enodes) 1554304274.460 * * [misc]simplify: iters left: 5 (42 enodes) 1554304274.474 * * [misc]simplify: iters left: 4 (55 enodes) 1554304274.488 * * [misc]simplify: iters left: 3 (62 enodes) 1554304274.495 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.496 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.496 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304274.496 * * [misc]simplify: Extracting #3: cost 18 inf + 42 1554304274.496 * * [misc]simplify: Extracting #4: cost 18 inf + 129 1554304274.496 * * [misc]simplify: Extracting #5: cost 6 inf + 1502 1554304274.496 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554304274.497 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554304274.497 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1554304274.497 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1554304274.497 * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # 1554304274.497 * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # 1554304274.497 * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # 1554304274.497 * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # 1554304274.498 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1554304274.498 * * [misc]simplify: iters left: 2 (3 enodes) 1554304274.498 * * [misc]simplify: iters left: 1 (9 enodes) 1554304274.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.499 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304274.499 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304274.499 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554304274.499 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1554304274.500 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1554304274.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1554304274.500 * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # 1554304274.500 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554304274.500 * * [misc]simplify: iters left: 2 (3 enodes) 1554304274.500 * * [misc]simplify: iters left: 1 (9 enodes) 1554304274.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.502 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304274.502 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304274.502 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554304274.502 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554304274.502 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554304274.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1554304274.502 * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # 1554304274.502 * [enter]simplify: Simplifying (sqrt k) 1554304274.502 * * [misc]simplify: iters left: 1 (2 enodes) 1554304274.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.502 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304274.502 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1554304274.502 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1554304274.503 * [exit]simplify: Simplified to (sqrt k) 1554304274.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k))) 1554304274.503 * * * * [misc]progress: [ 70 / 86 ] simplifiying candidate # 1554304274.503 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1554304274.503 * * [misc]simplify: iters left: 5 (7 enodes) 1554304274.505 * * [misc]simplify: iters left: 4 (26 enodes) 1554304274.509 * * [misc]simplify: iters left: 3 (34 enodes) 1554304274.514 * * [misc]simplify: iters left: 2 (39 enodes) 1554304274.518 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.518 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.518 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554304274.519 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1554304274.519 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1554304274.519 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1554304274.519 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1554304274.519 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1554304274.519 * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # 1554304274.519 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1554304274.520 * * [misc]simplify: iters left: 5 (7 enodes) 1554304274.522 * * [misc]simplify: iters left: 4 (26 enodes) 1554304274.526 * * [misc]simplify: iters left: 3 (34 enodes) 1554304274.531 * * [misc]simplify: iters left: 2 (39 enodes) 1554304274.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.536 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.536 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554304274.536 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1554304274.536 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1554304274.536 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1554304274.536 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1554304274.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1554304274.536 * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # 1554304274.537 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554304274.537 * * [misc]simplify: iters left: 5 (8 enodes) 1554304274.539 * * [misc]simplify: iters left: 4 (27 enodes) 1554304274.543 * * [misc]simplify: iters left: 3 (32 enodes) 1554304274.547 * * [misc]simplify: iters left: 2 (34 enodes) 1554304274.553 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.553 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.553 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554304274.553 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554304274.553 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554304274.554 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554304274.554 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554304274.554 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304274.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304274.554 * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # 1554304274.554 * [enter]simplify: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304274.554 * * [misc]simplify: iters left: 6 (12 enodes) 1554304274.557 * * [misc]simplify: iters left: 5 (42 enodes) 1554304274.566 * * [misc]simplify: iters left: 4 (55 enodes) 1554304274.582 * * [misc]simplify: iters left: 3 (62 enodes) 1554304274.599 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.599 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304274.599 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304274.599 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554304274.599 * * [misc]simplify: Extracting #4: cost 19 inf + 0 1554304274.599 * * [misc]simplify: Extracting #5: cost 22 inf + 4 1554304274.600 * * [misc]simplify: Extracting #6: cost 10 inf + 1256 1554304274.601 * * [misc]simplify: Extracting #7: cost 1 inf + 3074 1554304274.602 * * [misc]simplify: Extracting #8: cost 0 inf + 3569 1554304274.602 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304274.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304274.603 * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # 1554304274.603 * [enter]simplify: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304274.603 * * [misc]simplify: iters left: 6 (11 enodes) 1554304274.609 * * [misc]simplify: iters left: 5 (39 enodes) 1554304274.621 * * [misc]simplify: iters left: 4 (52 enodes) 1554304274.636 * * [misc]simplify: iters left: 3 (59 enodes) 1554304274.652 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.652 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304274.652 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304274.652 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304274.652 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1554304274.652 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1554304274.653 * * [misc]simplify: Extracting #6: cost 0 inf + 2499 1554304274.654 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1554304274.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304274.654 * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # 1554304274.654 * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # 1554304274.654 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1554304274.655 * * [misc]simplify: iters left: 5 (7 enodes) 1554304274.659 * * [misc]simplify: iters left: 4 (26 enodes) 1554304274.666 * * [misc]simplify: iters left: 3 (34 enodes) 1554304274.676 * * [misc]simplify: iters left: 2 (39 enodes) 1554304274.686 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.686 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304274.686 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554304274.686 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1554304274.687 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1554304274.687 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1554304274.688 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1554304274.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2))))) 1554304274.688 * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate #real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> 1554304274.688 * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # 1554304274.688 * [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))))) 1554304274.689 * * [misc]simplify: iters left: 6 (37 enodes) 1554304274.711 * * [misc]simplify: iters left: 5 (182 enodes) 1554304274.780 * * [misc]simplify: iters left: 4 (487 enodes) 1554304274.988 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304274.988 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554304274.989 * * [misc]simplify: Extracting #2: cost 339 inf + 3 1554304274.991 * * [misc]simplify: Extracting #3: cost 496 inf + 559 1554304275.000 * * [misc]simplify: Extracting #4: cost 330 inf + 53115 1554304275.050 * * [misc]simplify: Extracting #5: cost 70 inf + 174349 1554304275.117 * * [misc]simplify: Extracting #6: cost 0 inf + 222643 1554304275.187 * * [misc]simplify: Extracting #7: cost 0 inf + 219647 1554304275.271 * * [misc]simplify: Extracting #8: cost 0 inf + 219582 1554304275.363 * [exit]simplify: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) 1554304275.364 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) (sqrt k))) 1554304275.364 * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # 1554304275.364 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1554304275.364 * * [misc]simplify: iters left: 6 (15 enodes) 1554304275.370 * * [misc]simplify: iters left: 5 (63 enodes) 1554304275.380 * * [misc]simplify: iters left: 4 (108 enodes) 1554304275.414 * * [misc]simplify: iters left: 3 (268 enodes) 1554304275.541 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304275.541 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304275.542 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1554304275.543 * * [misc]simplify: Extracting #3: cost 211 inf + 668 1554304275.547 * * [misc]simplify: Extracting #4: cost 149 inf + 9715 1554304275.556 * * [misc]simplify: Extracting #5: cost 42 inf + 34460 1554304275.565 * * [misc]simplify: Extracting #6: cost 0 inf + 46240 1554304275.575 * * [misc]simplify: Extracting #7: cost 0 inf + 45870 1554304275.591 * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2)) 1554304275.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma k -1/2 1/2)) (sqrt k))) 1554304275.591 * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # 1554304275.591 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1554304275.592 * * [misc]simplify: iters left: 6 (15 enodes) 1554304275.601 * * [misc]simplify: iters left: 5 (60 enodes) 1554304275.617 * * [misc]simplify: iters left: 4 (111 enodes) 1554304275.639 * * [misc]simplify: iters left: 3 (302 enodes) 1554304275.770 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304275.770 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304275.771 * * [misc]simplify: Extracting #2: cost 144 inf + 0 1554304275.772 * * [misc]simplify: Extracting #3: cost 312 inf + 558 1554304275.773 * * [misc]simplify: Extracting #4: cost 279 inf + 4663 1554304275.784 * * [misc]simplify: Extracting #5: cost 100 inf + 51858 1554304275.814 * * [misc]simplify: Extracting #6: cost 2 inf + 80601 1554304275.847 * * [misc]simplify: Extracting #7: cost 0 inf + 76621 1554304275.873 * * [misc]simplify: Extracting #8: cost 0 inf + 76306 1554304275.887 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1554304275.888 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k))) 1554304275.888 * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # 1554304275.888 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554304275.888 * * [misc]simplify: iters left: 4 (5 enodes) 1554304275.890 * * [misc]simplify: iters left: 3 (19 enodes) 1554304275.892 * * [misc]simplify: iters left: 2 (27 enodes) 1554304275.896 * * [misc]simplify: iters left: 1 (32 enodes) 1554304275.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304275.900 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304275.900 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304275.900 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304275.900 * [exit]simplify: Simplified to (* (* PI n) 2) 1554304275.900 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304275.901 * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # 1554304275.901 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554304275.901 * * [misc]simplify: iters left: 4 (5 enodes) 1554304275.902 * * [misc]simplify: iters left: 3 (19 enodes) 1554304275.905 * * [misc]simplify: iters left: 2 (27 enodes) 1554304275.913 * * [misc]simplify: iters left: 1 (32 enodes) 1554304275.921 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304275.921 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304275.921 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304275.922 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304275.922 * [exit]simplify: Simplified to (* (* PI n) 2) 1554304275.922 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304275.922 * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # 1554304275.922 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554304275.922 * * [misc]simplify: iters left: 4 (5 enodes) 1554304275.925 * * [misc]simplify: iters left: 3 (19 enodes) 1554304275.931 * * [misc]simplify: iters left: 2 (27 enodes) 1554304275.940 * * [misc]simplify: iters left: 1 (32 enodes) 1554304275.948 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304275.948 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304275.948 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304275.949 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304275.949 * [exit]simplify: Simplified to (* (* PI n) 2) 1554304275.949 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304275.949 * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # 1554304275.949 * [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)))))))))))))))))))))) 1554304275.949 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304275.950 * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # 1554304275.950 * [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)))))))) 1554304275.950 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304275.951 * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # 1554304275.951 * [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))))))))))) 1554304275.951 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304275.951 * * * [misc]progress: adding candidates to table 1554304276.740 * * [misc]progress: iteration 2 / 4 1554304276.740 * * * [misc]progress: picking best candidate 1554304276.790 * * * * [misc]pick: Picked # 1554304276.791 * * * [misc]progress: localizing error 1554304276.796 * * * [misc]progress: generating rewritten candidates 1554304276.796 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1554304276.800 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1554304276.804 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1554304276.819 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1554304276.828 * * * [misc]progress: generating series expansions 1554304276.828 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1554304276.828 * [misc]backup-simplify: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1554304276.828 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1554304276.828 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304276.828 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304276.828 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304276.829 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304276.829 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.829 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304276.829 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.829 * [misc]taylor: Taking taylor expansion of k in k 1554304276.829 * [misc]backup-simplify: Simplify 0 into 0 1554304276.829 * [misc]backup-simplify: Simplify 1 into 1 1554304276.829 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304276.829 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304276.829 * [misc]taylor: Taking taylor expansion of 2 in k 1554304276.829 * [misc]backup-simplify: Simplify 2 into 2 1554304276.829 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304276.829 * [misc]taylor: Taking taylor expansion of n in k 1554304276.829 * [misc]backup-simplify: Simplify n into n 1554304276.829 * [misc]taylor: Taking taylor expansion of PI in k 1554304276.829 * [misc]backup-simplify: Simplify PI into PI 1554304276.829 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304276.829 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304276.829 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304276.830 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304276.830 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.830 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304276.830 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304276.830 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304276.830 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304276.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304276.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304276.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304276.830 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.830 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304276.830 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.830 * [misc]taylor: Taking taylor expansion of k in n 1554304276.830 * [misc]backup-simplify: Simplify k into k 1554304276.830 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304276.830 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304276.831 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.831 * [misc]backup-simplify: Simplify 2 into 2 1554304276.831 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304276.831 * [misc]taylor: Taking taylor expansion of n in n 1554304276.831 * [misc]backup-simplify: Simplify 0 into 0 1554304276.831 * [misc]backup-simplify: Simplify 1 into 1 1554304276.831 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.831 * [misc]backup-simplify: Simplify PI into PI 1554304276.831 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304276.831 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304276.832 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304276.833 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304276.833 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304276.833 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304276.833 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304276.834 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304276.834 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304276.835 * [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)))) 1554304276.835 * [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))))) 1554304276.835 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304276.835 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304276.835 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304276.836 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304276.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.836 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304276.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.836 * [misc]taylor: Taking taylor expansion of k in n 1554304276.836 * [misc]backup-simplify: Simplify k into k 1554304276.836 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304276.836 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304276.836 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.836 * [misc]backup-simplify: Simplify 2 into 2 1554304276.836 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304276.836 * [misc]taylor: Taking taylor expansion of n in n 1554304276.836 * [misc]backup-simplify: Simplify 0 into 0 1554304276.836 * [misc]backup-simplify: Simplify 1 into 1 1554304276.836 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.836 * [misc]backup-simplify: Simplify PI into PI 1554304276.836 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304276.836 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304276.837 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304276.838 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304276.838 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304276.838 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304276.838 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304276.838 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304276.839 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304276.840 * [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)))) 1554304276.840 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1554304276.840 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1554304276.840 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1554304276.840 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304276.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.840 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304276.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.841 * [misc]taylor: Taking taylor expansion of k in k 1554304276.841 * [misc]backup-simplify: Simplify 0 into 0 1554304276.841 * [misc]backup-simplify: Simplify 1 into 1 1554304276.841 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1554304276.841 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304276.841 * [misc]taylor: Taking taylor expansion of n in k 1554304276.841 * [misc]backup-simplify: Simplify n into n 1554304276.841 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304276.841 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554304276.841 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554304276.841 * [misc]taylor: Taking taylor expansion of 2 in k 1554304276.841 * [misc]backup-simplify: Simplify 2 into 2 1554304276.841 * [misc]taylor: Taking taylor expansion of PI in k 1554304276.841 * [misc]backup-simplify: Simplify PI into PI 1554304276.841 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.842 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304276.842 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304276.842 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.842 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304276.843 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304276.843 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1554304276.844 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554304276.844 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554304276.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304276.846 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304276.849 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304276.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304276.849 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.850 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304276.851 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554304276.853 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304276.853 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.853 * [misc]backup-simplify: Simplify 0 into 0 1554304276.853 * [misc]backup-simplify: Simplify 0 into 0 1554304276.854 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304276.854 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304276.857 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304276.858 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.858 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304276.858 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304276.858 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304276.859 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1554304276.860 * [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))))))) 1554304276.862 * [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))))))) 1554304276.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304276.865 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554304276.870 * [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 1554304276.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304276.871 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.871 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304276.872 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554304276.874 * [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 1554304276.874 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.874 * [misc]backup-simplify: Simplify 0 into 0 1554304276.875 * [misc]backup-simplify: Simplify 0 into 0 1554304276.875 * [misc]backup-simplify: Simplify 0 into 0 1554304276.876 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304276.877 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304276.882 * [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 1554304276.882 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.882 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304276.883 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.883 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.883 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554304276.886 * [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))))) 1554304276.888 * [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))))) 1554304276.893 * [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))))) 1554304276.893 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1554304276.893 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554304276.893 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304276.893 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304276.893 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304276.893 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304276.893 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.894 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304276.894 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.894 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304276.894 * [misc]taylor: Taking taylor expansion of k in k 1554304276.894 * [misc]backup-simplify: Simplify 0 into 0 1554304276.894 * [misc]backup-simplify: Simplify 1 into 1 1554304276.894 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304276.894 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304276.894 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304276.894 * [misc]taylor: Taking taylor expansion of 2 in k 1554304276.894 * [misc]backup-simplify: Simplify 2 into 2 1554304276.894 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304276.894 * [misc]taylor: Taking taylor expansion of PI in k 1554304276.894 * [misc]backup-simplify: Simplify PI into PI 1554304276.894 * [misc]taylor: Taking taylor expansion of n in k 1554304276.894 * [misc]backup-simplify: Simplify n into n 1554304276.894 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304276.894 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304276.894 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304276.895 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304276.895 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304276.895 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304276.895 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304276.895 * [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)))) 1554304276.895 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304276.895 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304276.895 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304276.895 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304276.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.895 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304276.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.895 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304276.895 * [misc]taylor: Taking taylor expansion of k in n 1554304276.895 * [misc]backup-simplify: Simplify k into k 1554304276.896 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304276.896 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304276.896 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304276.896 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.896 * [misc]backup-simplify: Simplify 2 into 2 1554304276.896 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304276.896 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.896 * [misc]backup-simplify: Simplify PI into PI 1554304276.896 * [misc]taylor: Taking taylor expansion of n in n 1554304276.896 * [misc]backup-simplify: Simplify 0 into 0 1554304276.896 * [misc]backup-simplify: Simplify 1 into 1 1554304276.896 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304276.896 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.897 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304276.897 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304276.897 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304276.897 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304276.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304276.898 * [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))) 1554304276.898 * [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)))) 1554304276.898 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304276.898 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304276.898 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304276.898 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304276.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.898 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304276.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.898 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304276.898 * [misc]taylor: Taking taylor expansion of k in n 1554304276.898 * [misc]backup-simplify: Simplify k into k 1554304276.898 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304276.898 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304276.899 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304276.899 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.899 * [misc]backup-simplify: Simplify 2 into 2 1554304276.899 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304276.899 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.899 * [misc]backup-simplify: Simplify PI into PI 1554304276.899 * [misc]taylor: Taking taylor expansion of n in n 1554304276.899 * [misc]backup-simplify: Simplify 0 into 0 1554304276.899 * [misc]backup-simplify: Simplify 1 into 1 1554304276.899 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304276.899 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.899 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304276.899 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304276.899 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304276.899 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304276.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304276.900 * [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))) 1554304276.901 * [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)))) 1554304276.901 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of k in k 1554304276.901 * [misc]backup-simplify: Simplify 0 into 0 1554304276.901 * [misc]backup-simplify: Simplify 1 into 1 1554304276.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304276.901 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554304276.901 * [misc]taylor: Taking taylor expansion of 2 in k 1554304276.901 * [misc]backup-simplify: Simplify 2 into 2 1554304276.901 * [misc]taylor: Taking taylor expansion of PI in k 1554304276.901 * [misc]backup-simplify: Simplify PI into PI 1554304276.901 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.902 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304276.902 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304276.902 * [misc]taylor: Taking taylor expansion of n in k 1554304276.902 * [misc]backup-simplify: Simplify n into n 1554304276.902 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304276.902 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304276.902 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304276.902 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304276.902 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304276.902 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1554304276.903 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1554304276.903 * [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)))) 1554304276.904 * [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)))) 1554304276.905 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304276.905 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304276.907 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304276.907 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304276.907 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304276.907 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304276.908 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554304276.909 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304276.909 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.909 * [misc]backup-simplify: Simplify 0 into 0 1554304276.909 * [misc]backup-simplify: Simplify 0 into 0 1554304276.909 * [misc]backup-simplify: Simplify 0 into 0 1554304276.910 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304276.910 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304276.913 * [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 1554304276.913 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304276.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304276.914 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.914 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.914 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304276.915 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1554304276.916 * [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 1554304276.916 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.916 * [misc]backup-simplify: Simplify 0 into 0 1554304276.916 * [misc]backup-simplify: Simplify 0 into 0 1554304276.916 * [misc]backup-simplify: Simplify 0 into 0 1554304276.916 * [misc]backup-simplify: Simplify 0 into 0 1554304276.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304276.918 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304276.923 * [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 1554304276.923 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304276.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304276.923 * [misc]backup-simplify: Simplify (- 0) into 0 1554304276.924 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304276.925 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1554304276.927 * [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 1554304276.927 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.927 * [misc]backup-simplify: Simplify 0 into 0 1554304276.927 * [misc]backup-simplify: Simplify 0 into 0 1554304276.927 * [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))))) 1554304276.928 * [misc]backup-simplify: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304276.928 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554304276.928 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of k in k 1554304276.928 * [misc]backup-simplify: Simplify 0 into 0 1554304276.928 * [misc]backup-simplify: Simplify 1 into 1 1554304276.928 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304276.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.928 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of -2 in k 1554304276.928 * [misc]backup-simplify: Simplify -2 into -2 1554304276.928 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304276.928 * [misc]taylor: Taking taylor expansion of PI in k 1554304276.928 * [misc]backup-simplify: Simplify PI into PI 1554304276.928 * [misc]taylor: Taking taylor expansion of n in k 1554304276.928 * [misc]backup-simplify: Simplify n into n 1554304276.928 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304276.928 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304276.928 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304276.928 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304276.928 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304276.929 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304276.929 * [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))) 1554304276.929 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of k in n 1554304276.929 * [misc]backup-simplify: Simplify k into k 1554304276.929 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304276.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.929 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of -2 in n 1554304276.929 * [misc]backup-simplify: Simplify -2 into -2 1554304276.929 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304276.929 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.929 * [misc]backup-simplify: Simplify PI into PI 1554304276.929 * [misc]taylor: Taking taylor expansion of n in n 1554304276.929 * [misc]backup-simplify: Simplify 0 into 0 1554304276.929 * [misc]backup-simplify: Simplify 1 into 1 1554304276.929 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304276.930 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304276.930 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304276.930 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304276.930 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304276.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304276.931 * [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))) 1554304276.931 * [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)))) 1554304276.931 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of k in n 1554304276.931 * [misc]backup-simplify: Simplify k into k 1554304276.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304276.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304276.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.931 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304276.931 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304276.932 * [misc]taylor: Taking taylor expansion of -2 in n 1554304276.932 * [misc]backup-simplify: Simplify -2 into -2 1554304276.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304276.932 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.932 * [misc]backup-simplify: Simplify PI into PI 1554304276.932 * [misc]taylor: Taking taylor expansion of n in n 1554304276.932 * [misc]backup-simplify: Simplify 0 into 0 1554304276.932 * [misc]backup-simplify: Simplify 1 into 1 1554304276.932 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304276.932 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304276.932 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304276.932 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304276.932 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304276.933 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304276.933 * [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))) 1554304276.934 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1554304276.934 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.934 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of k in k 1554304276.934 * [misc]backup-simplify: Simplify 0 into 0 1554304276.934 * [misc]backup-simplify: Simplify 1 into 1 1554304276.934 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304276.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304276.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304276.934 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1554304276.934 * [misc]taylor: Taking taylor expansion of -2 in k 1554304276.934 * [misc]backup-simplify: Simplify -2 into -2 1554304276.934 * [misc]taylor: Taking taylor expansion of PI in k 1554304276.934 * [misc]backup-simplify: Simplify PI into PI 1554304276.935 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304276.935 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304276.935 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304276.935 * [misc]taylor: Taking taylor expansion of n in k 1554304276.935 * [misc]backup-simplify: Simplify n into n 1554304276.935 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304276.935 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304276.935 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304276.935 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304276.936 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1554304276.936 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1554304276.936 * [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)))) 1554304276.937 * [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)))) 1554304276.938 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304276.938 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304276.941 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554304276.941 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304276.941 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304276.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304276.943 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1554304276.946 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304276.946 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.946 * [misc]backup-simplify: Simplify 0 into 0 1554304276.947 * [misc]backup-simplify: Simplify 0 into 0 1554304276.947 * [misc]backup-simplify: Simplify 0 into 0 1554304276.948 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304276.949 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304276.953 * [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 1554304276.954 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304276.954 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304276.954 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.954 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304276.955 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1554304276.956 * [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 1554304276.956 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.956 * [misc]backup-simplify: Simplify 0 into 0 1554304276.956 * [misc]backup-simplify: Simplify 0 into 0 1554304276.956 * [misc]backup-simplify: Simplify 0 into 0 1554304276.956 * [misc]backup-simplify: Simplify 0 into 0 1554304276.957 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304276.958 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304276.963 * [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 1554304276.963 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304276.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304276.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304276.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304276.964 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1554304276.967 * [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 1554304276.967 * [misc]taylor: Taking taylor expansion of 0 in k 1554304276.967 * [misc]backup-simplify: Simplify 0 into 0 1554304276.967 * [misc]backup-simplify: Simplify 0 into 0 1554304276.967 * [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))))) 1554304276.967 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1554304276.968 * [misc]backup-simplify: Simplify (* (* n 2) PI) into (* 2 (* n PI)) 1554304276.968 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1554304276.968 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304276.968 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.968 * [misc]backup-simplify: Simplify 2 into 2 1554304276.968 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304276.968 * [misc]taylor: Taking taylor expansion of n in n 1554304276.968 * [misc]backup-simplify: Simplify 0 into 0 1554304276.968 * [misc]backup-simplify: Simplify 1 into 1 1554304276.968 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.968 * [misc]backup-simplify: Simplify PI into PI 1554304276.968 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304276.968 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.968 * [misc]backup-simplify: Simplify 2 into 2 1554304276.968 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304276.968 * [misc]taylor: Taking taylor expansion of n in n 1554304276.968 * [misc]backup-simplify: Simplify 0 into 0 1554304276.968 * [misc]backup-simplify: Simplify 1 into 1 1554304276.968 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.968 * [misc]backup-simplify: Simplify PI into PI 1554304276.968 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304276.968 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304276.968 * [misc]backup-simplify: Simplify 0 into 0 1554304276.969 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304276.969 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304276.969 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.970 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304276.970 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304276.971 * [misc]backup-simplify: Simplify 0 into 0 1554304276.971 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304276.972 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554304276.973 * [misc]backup-simplify: Simplify 0 into 0 1554304276.974 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304276.975 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1554304276.975 * [misc]backup-simplify: Simplify 0 into 0 1554304276.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554304276.978 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1554304276.978 * [misc]backup-simplify: Simplify 0 into 0 1554304276.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554304276.982 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1554304276.982 * [misc]backup-simplify: Simplify 0 into 0 1554304276.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1554304276.987 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1554304276.987 * [misc]backup-simplify: Simplify 0 into 0 1554304276.987 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1554304276.987 * [misc]backup-simplify: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n)) 1554304276.987 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1554304276.987 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304276.987 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.987 * [misc]backup-simplify: Simplify 2 into 2 1554304276.987 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304276.987 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.987 * [misc]backup-simplify: Simplify PI into PI 1554304276.987 * [misc]taylor: Taking taylor expansion of n in n 1554304276.987 * [misc]backup-simplify: Simplify 0 into 0 1554304276.988 * [misc]backup-simplify: Simplify 1 into 1 1554304276.988 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304276.988 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304276.988 * [misc]taylor: Taking taylor expansion of 2 in n 1554304276.988 * [misc]backup-simplify: Simplify 2 into 2 1554304276.988 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304276.988 * [misc]taylor: Taking taylor expansion of PI in n 1554304276.988 * [misc]backup-simplify: Simplify PI into PI 1554304276.988 * [misc]taylor: Taking taylor expansion of n in n 1554304276.988 * [misc]backup-simplify: Simplify 0 into 0 1554304276.988 * [misc]backup-simplify: Simplify 1 into 1 1554304276.988 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304276.988 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.988 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304276.989 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304276.990 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304276.990 * [misc]backup-simplify: Simplify 0 into 0 1554304276.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304276.993 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304276.993 * [misc]backup-simplify: Simplify 0 into 0 1554304276.994 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304276.996 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304276.996 * [misc]backup-simplify: Simplify 0 into 0 1554304276.998 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304277.000 * [misc]backup-simplify: Simplify 0 into 0 1554304277.002 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.005 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554304277.005 * [misc]backup-simplify: Simplify 0 into 0 1554304277.007 * [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 1554304277.010 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554304277.010 * [misc]backup-simplify: Simplify 0 into 0 1554304277.011 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1554304277.011 * [misc]backup-simplify: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n)) 1554304277.011 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1554304277.011 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.011 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.011 * [misc]backup-simplify: Simplify -2 into -2 1554304277.011 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.011 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.011 * [misc]backup-simplify: Simplify PI into PI 1554304277.011 * [misc]taylor: Taking taylor expansion of n in n 1554304277.011 * [misc]backup-simplify: Simplify 0 into 0 1554304277.011 * [misc]backup-simplify: Simplify 1 into 1 1554304277.011 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.011 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.011 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.011 * [misc]backup-simplify: Simplify -2 into -2 1554304277.011 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.011 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.011 * [misc]backup-simplify: Simplify PI into PI 1554304277.011 * [misc]taylor: Taking taylor expansion of n in n 1554304277.011 * [misc]backup-simplify: Simplify 0 into 0 1554304277.011 * [misc]backup-simplify: Simplify 1 into 1 1554304277.012 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.012 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.012 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.013 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304277.014 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304277.014 * [misc]backup-simplify: Simplify 0 into 0 1554304277.015 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.017 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554304277.017 * [misc]backup-simplify: Simplify 0 into 0 1554304277.018 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.020 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304277.020 * [misc]backup-simplify: Simplify 0 into 0 1554304277.021 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.023 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554304277.023 * [misc]backup-simplify: Simplify 0 into 0 1554304277.024 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.025 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554304277.025 * [misc]backup-simplify: Simplify 0 into 0 1554304277.027 * [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 1554304277.029 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554304277.029 * [misc]backup-simplify: Simplify 0 into 0 1554304277.029 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1554304277.029 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1554304277.029 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1554304277.029 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1554304277.029 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.029 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.029 * [misc]taylor: Taking taylor expansion of k in n 1554304277.029 * [misc]backup-simplify: Simplify k into k 1554304277.029 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304277.029 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304277.030 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.030 * [misc]backup-simplify: Simplify 2 into 2 1554304277.030 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.030 * [misc]taylor: Taking taylor expansion of n in n 1554304277.030 * [misc]backup-simplify: Simplify 0 into 0 1554304277.030 * [misc]backup-simplify: Simplify 1 into 1 1554304277.030 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.030 * [misc]backup-simplify: Simplify PI into PI 1554304277.030 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.030 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304277.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.031 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304277.031 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.031 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304277.031 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304277.031 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304277.032 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.032 * [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)))) 1554304277.032 * [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))))) 1554304277.033 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1554304277.033 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304277.033 * [misc]taylor: Taking taylor expansion of k in n 1554304277.033 * [misc]backup-simplify: Simplify k into k 1554304277.033 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304277.033 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304277.033 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.033 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.033 * [misc]taylor: Taking taylor expansion of k in k 1554304277.033 * [misc]backup-simplify: Simplify 0 into 0 1554304277.033 * [misc]backup-simplify: Simplify 1 into 1 1554304277.033 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.033 * [misc]backup-simplify: Simplify 2 into 2 1554304277.033 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304277.033 * [misc]taylor: Taking taylor expansion of n in k 1554304277.033 * [misc]backup-simplify: Simplify n into n 1554304277.033 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.033 * [misc]backup-simplify: Simplify PI into PI 1554304277.033 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304277.033 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304277.033 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304277.034 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304277.034 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.034 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.034 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304277.034 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304277.034 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1554304277.034 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304277.034 * [misc]taylor: Taking taylor expansion of k in k 1554304277.034 * [misc]backup-simplify: Simplify 0 into 0 1554304277.034 * [misc]backup-simplify: Simplify 1 into 1 1554304277.034 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.034 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.034 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554304277.034 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.035 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.035 * [misc]taylor: Taking taylor expansion of k in k 1554304277.035 * [misc]backup-simplify: Simplify 0 into 0 1554304277.035 * [misc]backup-simplify: Simplify 1 into 1 1554304277.035 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.035 * [misc]backup-simplify: Simplify 2 into 2 1554304277.035 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304277.035 * [misc]taylor: Taking taylor expansion of n in k 1554304277.035 * [misc]backup-simplify: Simplify n into n 1554304277.035 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.035 * [misc]backup-simplify: Simplify PI into PI 1554304277.035 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304277.035 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304277.035 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304277.035 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304277.035 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.035 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.035 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304277.035 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304277.035 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1554304277.035 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304277.036 * [misc]taylor: Taking taylor expansion of k in k 1554304277.036 * [misc]backup-simplify: Simplify 0 into 0 1554304277.036 * [misc]backup-simplify: Simplify 1 into 1 1554304277.036 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.036 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.036 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1554304277.036 * [misc]taylor: Taking taylor expansion of 0 in n 1554304277.036 * [misc]backup-simplify: Simplify 0 into 0 1554304277.036 * [misc]backup-simplify: Simplify 0 into 0 1554304277.036 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1554304277.036 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1554304277.037 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1554304277.037 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304277.037 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304277.037 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304277.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1554304277.038 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1554304277.038 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1554304277.039 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1554304277.039 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1554304277.039 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1554304277.039 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.039 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.039 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1554304277.039 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1554304277.039 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1554304277.039 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.039 * [misc]taylor: Taking taylor expansion of n in n 1554304277.039 * [misc]backup-simplify: Simplify 0 into 0 1554304277.039 * [misc]backup-simplify: Simplify 1 into 1 1554304277.039 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.039 * [misc]backup-simplify: Simplify PI into PI 1554304277.039 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.039 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.040 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1554304277.040 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.040 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1554304277.040 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1554304277.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.040 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1554304277.040 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1554304277.041 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.041 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1554304277.042 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.043 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.044 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.044 * [misc]backup-simplify: Simplify 0 into 0 1554304277.044 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304277.045 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1554304277.045 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1554304277.046 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1554304277.046 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304277.046 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1554304277.048 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1554304277.049 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1554304277.051 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1554304277.051 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1554304277.051 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1554304277.051 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1554304277.051 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.051 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.051 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1554304277.051 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1554304277.051 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.051 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.051 * [misc]backup-simplify: Simplify 2 into 2 1554304277.052 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.052 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.052 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1554304277.052 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304277.052 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304277.052 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.052 * [misc]backup-simplify: Simplify 2 into 2 1554304277.052 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.052 * [misc]taylor: Taking taylor expansion of n in n 1554304277.052 * [misc]backup-simplify: Simplify 0 into 0 1554304277.052 * [misc]backup-simplify: Simplify 1 into 1 1554304277.052 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.052 * [misc]backup-simplify: Simplify PI into PI 1554304277.052 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.052 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304277.053 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.053 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304277.053 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.053 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1554304277.053 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1554304277.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.054 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1554304277.054 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1554304277.054 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1554304277.054 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1554304277.054 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.054 * [misc]taylor: Taking taylor expansion of n in n 1554304277.054 * [misc]backup-simplify: Simplify 0 into 0 1554304277.054 * [misc]backup-simplify: Simplify 1 into 1 1554304277.054 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.054 * [misc]backup-simplify: Simplify PI into PI 1554304277.055 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.055 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.055 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1554304277.055 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.056 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1554304277.056 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1554304277.056 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1554304277.056 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.056 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.056 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1554304277.056 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1554304277.056 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1554304277.056 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.056 * [misc]taylor: Taking taylor expansion of n in n 1554304277.056 * [misc]backup-simplify: Simplify 0 into 0 1554304277.056 * [misc]backup-simplify: Simplify 1 into 1 1554304277.056 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.056 * [misc]backup-simplify: Simplify PI into PI 1554304277.056 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.056 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.057 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1554304277.057 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.057 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1554304277.057 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1554304277.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.057 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1554304277.057 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1554304277.058 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.058 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1554304277.059 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1554304277.059 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1554304277.060 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.060 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1554304277.061 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304277.061 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304277.063 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304277.064 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1554304277.064 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1554304277.065 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1554304277.067 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1554304277.069 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1554304277.070 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.070 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1554304277.071 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.072 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554304277.077 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1554304277.084 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1554304277.090 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1554304277.092 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1554304277.093 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304277.094 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1554304277.095 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1554304277.098 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1554304277.102 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1554304277.103 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1554304277.105 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1554304277.114 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1554304277.114 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1554304277.114 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1554304277.114 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.114 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.114 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of k in n 1554304277.114 * [misc]backup-simplify: Simplify k into k 1554304277.114 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.114 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.114 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.115 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.115 * [misc]backup-simplify: Simplify 2 into 2 1554304277.115 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.115 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.115 * [misc]backup-simplify: Simplify PI into PI 1554304277.115 * [misc]taylor: Taking taylor expansion of n in n 1554304277.115 * [misc]backup-simplify: Simplify 0 into 0 1554304277.115 * [misc]backup-simplify: Simplify 1 into 1 1554304277.115 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.115 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.115 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.115 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.116 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.116 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.116 * [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))) 1554304277.117 * [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)))) 1554304277.117 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.117 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304277.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.117 * [misc]taylor: Taking taylor expansion of k in n 1554304277.117 * [misc]backup-simplify: Simplify k into k 1554304277.117 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.117 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304277.117 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304277.117 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304277.118 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of k in k 1554304277.118 * [misc]backup-simplify: Simplify 0 into 0 1554304277.118 * [misc]backup-simplify: Simplify 1 into 1 1554304277.118 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.118 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.118 * [misc]backup-simplify: Simplify 2 into 2 1554304277.118 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.118 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.118 * [misc]backup-simplify: Simplify PI into PI 1554304277.118 * [misc]taylor: Taking taylor expansion of n in k 1554304277.118 * [misc]backup-simplify: Simplify n into n 1554304277.118 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.118 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304277.118 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304277.118 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.118 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304277.118 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304277.119 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304277.119 * [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)))) 1554304277.119 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1554304277.119 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of k in k 1554304277.119 * [misc]backup-simplify: Simplify 0 into 0 1554304277.119 * [misc]backup-simplify: Simplify 1 into 1 1554304277.119 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.119 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.119 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.119 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304277.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.120 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.120 * [misc]taylor: Taking taylor expansion of k in k 1554304277.120 * [misc]backup-simplify: Simplify 0 into 0 1554304277.120 * [misc]backup-simplify: Simplify 1 into 1 1554304277.120 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.120 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304277.120 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304277.120 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.120 * [misc]backup-simplify: Simplify 2 into 2 1554304277.120 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.120 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.120 * [misc]backup-simplify: Simplify PI into PI 1554304277.120 * [misc]taylor: Taking taylor expansion of n in k 1554304277.120 * [misc]backup-simplify: Simplify n into n 1554304277.120 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.120 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304277.120 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304277.120 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.120 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304277.120 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304277.120 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304277.120 * [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)))) 1554304277.121 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1554304277.121 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304277.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.121 * [misc]taylor: Taking taylor expansion of k in k 1554304277.121 * [misc]backup-simplify: Simplify 0 into 0 1554304277.121 * [misc]backup-simplify: Simplify 1 into 1 1554304277.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.121 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.121 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.121 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1554304277.121 * [misc]taylor: Taking taylor expansion of 0 in n 1554304277.121 * [misc]backup-simplify: Simplify 0 into 0 1554304277.121 * [misc]backup-simplify: Simplify 0 into 0 1554304277.122 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554304277.122 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1554304277.122 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.122 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.122 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of k in n 1554304277.122 * [misc]backup-simplify: Simplify k into k 1554304277.122 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.122 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.122 * [misc]backup-simplify: Simplify 2 into 2 1554304277.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.122 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.122 * [misc]backup-simplify: Simplify PI into PI 1554304277.122 * [misc]taylor: Taking taylor expansion of n in n 1554304277.122 * [misc]backup-simplify: Simplify 0 into 0 1554304277.122 * [misc]backup-simplify: Simplify 1 into 1 1554304277.123 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.123 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.123 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.123 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.123 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.123 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.124 * [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))) 1554304277.124 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1554304277.125 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.125 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.126 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1554304277.126 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1554304277.126 * [misc]backup-simplify: Simplify 0 into 0 1554304277.127 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304277.127 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304277.128 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554304277.128 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1554304277.128 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.128 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.128 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of k in n 1554304277.128 * [misc]backup-simplify: Simplify k into k 1554304277.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.128 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.128 * [misc]backup-simplify: Simplify 2 into 2 1554304277.128 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.128 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.128 * [misc]backup-simplify: Simplify PI into PI 1554304277.128 * [misc]taylor: Taking taylor expansion of n in n 1554304277.128 * [misc]backup-simplify: Simplify 0 into 0 1554304277.129 * [misc]backup-simplify: Simplify 1 into 1 1554304277.129 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.129 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.129 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.130 * [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))) 1554304277.131 * [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)))) 1554304277.131 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.131 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.132 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1554304277.132 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1554304277.133 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304277.133 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304277.135 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304277.135 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304277.135 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304277.135 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.136 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.136 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554304277.137 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304277.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1554304277.139 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1554304277.139 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.139 * [misc]backup-simplify: Simplify 0 into 0 1554304277.139 * [misc]backup-simplify: Simplify 0 into 0 1554304277.139 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.140 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304277.140 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554304277.140 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1554304277.140 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.140 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.140 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.140 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.141 * [misc]taylor: Taking taylor expansion of k in n 1554304277.141 * [misc]backup-simplify: Simplify k into k 1554304277.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.141 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.141 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.141 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.141 * [misc]backup-simplify: Simplify 2 into 2 1554304277.141 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.141 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.141 * [misc]backup-simplify: Simplify PI into PI 1554304277.141 * [misc]taylor: Taking taylor expansion of n in n 1554304277.141 * [misc]backup-simplify: Simplify 0 into 0 1554304277.141 * [misc]backup-simplify: Simplify 1 into 1 1554304277.141 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.141 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.142 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.142 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.142 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.142 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.143 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.143 * [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))) 1554304277.144 * [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)))) 1554304277.145 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.145 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1554304277.146 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1554304277.147 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1554304277.150 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1554304277.150 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1554304277.150 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1554304277.150 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.150 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304277.150 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304277.150 * [misc]taylor: Taking taylor expansion of -1 in n 1554304277.150 * [misc]backup-simplify: Simplify -1 into -1 1554304277.150 * [misc]taylor: Taking taylor expansion of k in n 1554304277.150 * [misc]backup-simplify: Simplify k into k 1554304277.150 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304277.150 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304277.150 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304277.151 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304277.151 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.151 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of k in n 1554304277.151 * [misc]backup-simplify: Simplify k into k 1554304277.151 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.151 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.151 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.151 * [misc]backup-simplify: Simplify -2 into -2 1554304277.151 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.151 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.151 * [misc]backup-simplify: Simplify PI into PI 1554304277.151 * [misc]taylor: Taking taylor expansion of n in n 1554304277.151 * [misc]backup-simplify: Simplify 0 into 0 1554304277.151 * [misc]backup-simplify: Simplify 1 into 1 1554304277.152 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.152 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.152 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.152 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.153 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.153 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.154 * [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))) 1554304277.154 * [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)))) 1554304277.155 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1554304277.155 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554304277.155 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304277.155 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304277.155 * [misc]taylor: Taking taylor expansion of -1 in k 1554304277.155 * [misc]backup-simplify: Simplify -1 into -1 1554304277.155 * [misc]taylor: Taking taylor expansion of k in k 1554304277.155 * [misc]backup-simplify: Simplify 0 into 0 1554304277.155 * [misc]backup-simplify: Simplify 1 into 1 1554304277.156 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304277.156 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.156 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304277.156 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304277.156 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304277.156 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304277.156 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304277.156 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.156 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.156 * [misc]taylor: Taking taylor expansion of k in k 1554304277.156 * [misc]backup-simplify: Simplify 0 into 0 1554304277.156 * [misc]backup-simplify: Simplify 1 into 1 1554304277.157 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.157 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304277.157 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304277.157 * [misc]taylor: Taking taylor expansion of -2 in k 1554304277.157 * [misc]backup-simplify: Simplify -2 into -2 1554304277.157 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.157 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.157 * [misc]backup-simplify: Simplify PI into PI 1554304277.157 * [misc]taylor: Taking taylor expansion of n in k 1554304277.157 * [misc]backup-simplify: Simplify n into n 1554304277.157 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.157 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304277.157 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304277.157 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.157 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.157 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304277.157 * [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))) 1554304277.158 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1554304277.158 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of -1 in k 1554304277.158 * [misc]backup-simplify: Simplify -1 into -1 1554304277.158 * [misc]taylor: Taking taylor expansion of k in k 1554304277.158 * [misc]backup-simplify: Simplify 0 into 0 1554304277.158 * [misc]backup-simplify: Simplify 1 into 1 1554304277.158 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304277.158 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.158 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304277.158 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.158 * [misc]taylor: Taking taylor expansion of k in k 1554304277.158 * [misc]backup-simplify: Simplify 0 into 0 1554304277.158 * [misc]backup-simplify: Simplify 1 into 1 1554304277.158 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.158 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304277.159 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304277.159 * [misc]taylor: Taking taylor expansion of -2 in k 1554304277.159 * [misc]backup-simplify: Simplify -2 into -2 1554304277.159 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.159 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.159 * [misc]backup-simplify: Simplify PI into PI 1554304277.159 * [misc]taylor: Taking taylor expansion of n in k 1554304277.159 * [misc]backup-simplify: Simplify n into n 1554304277.159 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.159 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304277.159 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304277.159 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.159 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.159 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304277.159 * [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))) 1554304277.159 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1554304277.159 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554304277.159 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.159 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.159 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.159 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.159 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.160 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.160 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.160 * [misc]backup-simplify: Simplify -2 into -2 1554304277.160 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.160 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.160 * [misc]backup-simplify: Simplify PI into PI 1554304277.160 * [misc]taylor: Taking taylor expansion of n in n 1554304277.160 * [misc]backup-simplify: Simplify 0 into 0 1554304277.160 * [misc]backup-simplify: Simplify 1 into 1 1554304277.160 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.160 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.160 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.160 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.160 * [misc]taylor: Taking taylor expansion of k in n 1554304277.160 * [misc]backup-simplify: Simplify k into k 1554304277.161 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.161 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.161 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.161 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.162 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304277.162 * [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)))) 1554304277.162 * [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))))) 1554304277.163 * [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))))) 1554304277.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304277.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304277.164 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1554304277.164 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.164 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.164 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.164 * [misc]backup-simplify: Simplify -2 into -2 1554304277.164 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.164 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.164 * [misc]backup-simplify: Simplify PI into PI 1554304277.164 * [misc]taylor: Taking taylor expansion of n in n 1554304277.164 * [misc]backup-simplify: Simplify 0 into 0 1554304277.164 * [misc]backup-simplify: Simplify 1 into 1 1554304277.165 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.165 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.165 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.165 * [misc]taylor: Taking taylor expansion of k in n 1554304277.165 * [misc]backup-simplify: Simplify k into k 1554304277.165 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.166 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.166 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.166 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304277.167 * [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)))) 1554304277.167 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1554304277.167 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1554304277.168 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1554304277.168 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1554304277.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.169 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304277.169 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304277.169 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.170 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304277.170 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304277.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554304277.172 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1554304277.173 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304277.174 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1554304277.174 * [misc]backup-simplify: Simplify 0 into 0 1554304277.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.175 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304277.176 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1554304277.176 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1554304277.176 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.177 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.177 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.177 * [misc]backup-simplify: Simplify -2 into -2 1554304277.177 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.177 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.177 * [misc]backup-simplify: Simplify PI into PI 1554304277.177 * [misc]taylor: Taking taylor expansion of n in n 1554304277.177 * [misc]backup-simplify: Simplify 0 into 0 1554304277.177 * [misc]backup-simplify: Simplify 1 into 1 1554304277.177 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.177 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.178 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.178 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.178 * [misc]taylor: Taking taylor expansion of k in n 1554304277.178 * [misc]backup-simplify: Simplify k into k 1554304277.178 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.178 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.178 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.178 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.179 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304277.179 * [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)))) 1554304277.180 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1554304277.180 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1554304277.180 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1554304277.181 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1554304277.182 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1554304277.183 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1554304277.183 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1554304277.183 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1554304277.183 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of k in n 1554304277.183 * [misc]backup-simplify: Simplify k into k 1554304277.183 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.183 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304277.183 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304277.183 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304277.183 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.183 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.183 * [misc]taylor: Taking taylor expansion of k in n 1554304277.183 * [misc]backup-simplify: Simplify k into k 1554304277.183 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.183 * [misc]backup-simplify: Simplify 2 into 2 1554304277.183 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.183 * [misc]taylor: Taking taylor expansion of n in n 1554304277.183 * [misc]backup-simplify: Simplify 0 into 0 1554304277.183 * [misc]backup-simplify: Simplify 1 into 1 1554304277.183 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.183 * [misc]backup-simplify: Simplify PI into PI 1554304277.184 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.184 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304277.184 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.185 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304277.185 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.185 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304277.185 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304277.185 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304277.186 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.186 * [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)))) 1554304277.187 * [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))))) 1554304277.187 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554304277.187 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304277.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.187 * [misc]taylor: Taking taylor expansion of k in k 1554304277.187 * [misc]backup-simplify: Simplify 0 into 0 1554304277.187 * [misc]backup-simplify: Simplify 1 into 1 1554304277.187 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.188 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.188 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.188 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.188 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.188 * [misc]taylor: Taking taylor expansion of k in k 1554304277.188 * [misc]backup-simplify: Simplify 0 into 0 1554304277.188 * [misc]backup-simplify: Simplify 1 into 1 1554304277.188 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.188 * [misc]backup-simplify: Simplify 2 into 2 1554304277.188 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304277.188 * [misc]taylor: Taking taylor expansion of n in k 1554304277.189 * [misc]backup-simplify: Simplify n into n 1554304277.189 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.189 * [misc]backup-simplify: Simplify PI into PI 1554304277.189 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304277.189 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304277.189 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304277.189 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304277.189 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.189 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.189 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304277.189 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304277.190 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554304277.190 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304277.190 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.190 * [misc]taylor: Taking taylor expansion of k in k 1554304277.190 * [misc]backup-simplify: Simplify 0 into 0 1554304277.190 * [misc]backup-simplify: Simplify 1 into 1 1554304277.190 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.190 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.190 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554304277.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.191 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.191 * [misc]taylor: Taking taylor expansion of k in k 1554304277.191 * [misc]backup-simplify: Simplify 0 into 0 1554304277.191 * [misc]backup-simplify: Simplify 1 into 1 1554304277.191 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.191 * [misc]backup-simplify: Simplify 2 into 2 1554304277.191 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554304277.191 * [misc]taylor: Taking taylor expansion of n in k 1554304277.191 * [misc]backup-simplify: Simplify n into n 1554304277.191 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.191 * [misc]backup-simplify: Simplify PI into PI 1554304277.191 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554304277.191 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554304277.191 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554304277.191 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304277.192 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.192 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.192 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554304277.192 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554304277.192 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1554304277.192 * [misc]taylor: Taking taylor expansion of 0 in n 1554304277.192 * [misc]backup-simplify: Simplify 0 into 0 1554304277.192 * [misc]backup-simplify: Simplify 0 into 0 1554304277.193 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1554304277.193 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1554304277.194 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1554304277.194 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304277.194 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304277.194 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304277.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1554304277.195 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1554304277.195 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1554304277.195 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1554304277.195 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1554304277.195 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.195 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.195 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1554304277.195 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.195 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.195 * [misc]backup-simplify: Simplify 2 into 2 1554304277.196 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.196 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.196 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554304277.196 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.196 * [misc]taylor: Taking taylor expansion of n in n 1554304277.196 * [misc]backup-simplify: Simplify 0 into 0 1554304277.196 * [misc]backup-simplify: Simplify 1 into 1 1554304277.196 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.196 * [misc]backup-simplify: Simplify PI into PI 1554304277.196 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.197 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.197 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.198 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554304277.198 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1554304277.198 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554304277.198 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.198 * [misc]backup-simplify: Simplify 0 into 0 1554304277.198 * [misc]backup-simplify: Simplify 0 into 0 1554304277.199 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1554304277.199 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1554304277.201 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1554304277.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304277.201 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1554304277.203 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1554304277.203 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304277.204 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304277.205 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1554304277.205 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1554304277.205 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1554304277.205 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1554304277.205 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.205 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.205 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1554304277.205 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1554304277.205 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.205 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.205 * [misc]backup-simplify: Simplify 2 into 2 1554304277.206 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.206 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.206 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304277.206 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304277.206 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.206 * [misc]backup-simplify: Simplify 2 into 2 1554304277.206 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.206 * [misc]taylor: Taking taylor expansion of n in n 1554304277.206 * [misc]backup-simplify: Simplify 0 into 0 1554304277.206 * [misc]backup-simplify: Simplify 1 into 1 1554304277.206 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.206 * [misc]backup-simplify: Simplify PI into PI 1554304277.207 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.207 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304277.207 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.208 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304277.209 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.209 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554304277.209 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.209 * [misc]taylor: Taking taylor expansion of n in n 1554304277.209 * [misc]backup-simplify: Simplify 0 into 0 1554304277.209 * [misc]backup-simplify: Simplify 1 into 1 1554304277.209 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.209 * [misc]backup-simplify: Simplify PI into PI 1554304277.209 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.210 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.211 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554304277.211 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1554304277.211 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1554304277.211 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.211 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.211 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1554304277.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.211 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.211 * [misc]backup-simplify: Simplify 2 into 2 1554304277.211 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.211 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.211 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554304277.211 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.211 * [misc]taylor: Taking taylor expansion of n in n 1554304277.211 * [misc]backup-simplify: Simplify 0 into 0 1554304277.212 * [misc]backup-simplify: Simplify 1 into 1 1554304277.212 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.212 * [misc]backup-simplify: Simplify PI into PI 1554304277.212 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.212 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.213 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.213 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554304277.214 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.214 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1554304277.215 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1554304277.215 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554304277.215 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1554304277.216 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554304277.216 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.216 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.216 * [misc]backup-simplify: Simplify 0 into 0 1554304277.217 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.219 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.220 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.221 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.222 * [misc]backup-simplify: Simplify 0 into 0 1554304277.223 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554304277.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1554304277.226 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1554304277.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304277.226 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.227 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1554304277.229 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1554304277.230 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.231 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304277.232 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1554304277.232 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1554304277.232 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1554304277.232 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1554304277.232 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.232 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.232 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1554304277.233 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1554304277.233 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.233 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.233 * [misc]backup-simplify: Simplify 2 into 2 1554304277.233 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.233 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.233 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304277.233 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304277.233 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.233 * [misc]backup-simplify: Simplify 2 into 2 1554304277.233 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.233 * [misc]taylor: Taking taylor expansion of n in n 1554304277.233 * [misc]backup-simplify: Simplify 0 into 0 1554304277.233 * [misc]backup-simplify: Simplify 1 into 1 1554304277.233 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.233 * [misc]backup-simplify: Simplify PI into PI 1554304277.234 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.234 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304277.234 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.235 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304277.235 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.235 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554304277.236 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.236 * [misc]taylor: Taking taylor expansion of n in n 1554304277.236 * [misc]backup-simplify: Simplify 0 into 0 1554304277.236 * [misc]backup-simplify: Simplify 1 into 1 1554304277.236 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.236 * [misc]backup-simplify: Simplify PI into PI 1554304277.236 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.237 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.237 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554304277.237 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1554304277.237 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1554304277.237 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1554304277.237 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.237 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.237 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1554304277.237 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1554304277.237 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.237 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.237 * [misc]backup-simplify: Simplify 2 into 2 1554304277.238 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.238 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.238 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1554304277.238 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554304277.238 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554304277.238 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.238 * [misc]backup-simplify: Simplify 2 into 2 1554304277.238 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.238 * [misc]taylor: Taking taylor expansion of n in n 1554304277.238 * [misc]backup-simplify: Simplify 0 into 0 1554304277.238 * [misc]backup-simplify: Simplify 1 into 1 1554304277.238 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.238 * [misc]backup-simplify: Simplify PI into PI 1554304277.238 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.239 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304277.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.240 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554304277.240 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.241 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.241 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554304277.241 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.241 * [misc]taylor: Taking taylor expansion of n in n 1554304277.241 * [misc]backup-simplify: Simplify 0 into 0 1554304277.241 * [misc]backup-simplify: Simplify 1 into 1 1554304277.241 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.241 * [misc]backup-simplify: Simplify PI into PI 1554304277.241 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.242 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.242 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.243 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554304277.243 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1554304277.243 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1554304277.243 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.243 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.243 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1554304277.243 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554304277.243 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.243 * [misc]backup-simplify: Simplify 2 into 2 1554304277.243 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554304277.243 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554304277.243 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554304277.243 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554304277.243 * [misc]taylor: Taking taylor expansion of n in n 1554304277.243 * [misc]backup-simplify: Simplify 0 into 0 1554304277.243 * [misc]backup-simplify: Simplify 1 into 1 1554304277.243 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.243 * [misc]backup-simplify: Simplify PI into PI 1554304277.244 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554304277.244 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554304277.244 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.245 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554304277.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.246 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1554304277.247 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1554304277.247 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554304277.248 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.248 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.249 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1554304277.250 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1554304277.251 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1554304277.251 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554304277.251 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1554304277.251 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554304277.251 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.252 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.252 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.252 * [misc]backup-simplify: Simplify 0 into 0 1554304277.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304277.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554304277.257 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304277.258 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554304277.258 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554304277.259 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1554304277.262 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1554304277.263 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.265 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.266 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1554304277.270 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1554304277.273 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1554304277.276 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1554304277.278 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554304277.279 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1554304277.281 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1554304277.283 * [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)))) 1554304277.287 * [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)))) 1554304277.289 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1554304277.290 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1554304277.296 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1554304277.297 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1554304277.297 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1554304277.297 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of k in n 1554304277.297 * [misc]backup-simplify: Simplify k into k 1554304277.297 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304277.297 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304277.297 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of k in n 1554304277.297 * [misc]backup-simplify: Simplify k into k 1554304277.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.297 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.297 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.297 * [misc]backup-simplify: Simplify 2 into 2 1554304277.297 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.298 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.298 * [misc]backup-simplify: Simplify PI into PI 1554304277.298 * [misc]taylor: Taking taylor expansion of n in n 1554304277.298 * [misc]backup-simplify: Simplify 0 into 0 1554304277.298 * [misc]backup-simplify: Simplify 1 into 1 1554304277.298 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.298 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.299 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.299 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.299 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.299 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.300 * [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))) 1554304277.301 * [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)))) 1554304277.301 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304277.301 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304277.301 * [misc]taylor: Taking taylor expansion of k in k 1554304277.301 * [misc]backup-simplify: Simplify 0 into 0 1554304277.301 * [misc]backup-simplify: Simplify 1 into 1 1554304277.301 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.302 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.302 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.302 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.302 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of k in k 1554304277.302 * [misc]backup-simplify: Simplify 0 into 0 1554304277.302 * [misc]backup-simplify: Simplify 1 into 1 1554304277.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.302 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.302 * [misc]backup-simplify: Simplify 2 into 2 1554304277.302 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.302 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.302 * [misc]backup-simplify: Simplify PI into PI 1554304277.302 * [misc]taylor: Taking taylor expansion of n in k 1554304277.302 * [misc]backup-simplify: Simplify n into n 1554304277.302 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.303 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304277.303 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304277.303 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.303 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304277.303 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304277.303 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304277.303 * [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)))) 1554304277.303 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of k in k 1554304277.304 * [misc]backup-simplify: Simplify 0 into 0 1554304277.304 * [misc]backup-simplify: Simplify 1 into 1 1554304277.304 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.304 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304277.304 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.304 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.304 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.304 * [misc]taylor: Taking taylor expansion of k in k 1554304277.305 * [misc]backup-simplify: Simplify 0 into 0 1554304277.305 * [misc]backup-simplify: Simplify 1 into 1 1554304277.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.305 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554304277.305 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554304277.305 * [misc]taylor: Taking taylor expansion of 2 in k 1554304277.305 * [misc]backup-simplify: Simplify 2 into 2 1554304277.305 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.305 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.305 * [misc]backup-simplify: Simplify PI into PI 1554304277.305 * [misc]taylor: Taking taylor expansion of n in k 1554304277.305 * [misc]backup-simplify: Simplify n into n 1554304277.305 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.305 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554304277.305 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554304277.305 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.306 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304277.306 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304277.306 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554304277.306 * [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)))) 1554304277.306 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1554304277.306 * [misc]taylor: Taking taylor expansion of 0 in n 1554304277.306 * [misc]backup-simplify: Simplify 0 into 0 1554304277.306 * [misc]backup-simplify: Simplify 0 into 0 1554304277.307 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1554304277.307 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.307 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.307 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.307 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.307 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of k in n 1554304277.307 * [misc]backup-simplify: Simplify k into k 1554304277.307 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.307 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.307 * [misc]backup-simplify: Simplify 2 into 2 1554304277.307 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.307 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.307 * [misc]backup-simplify: Simplify PI into PI 1554304277.307 * [misc]taylor: Taking taylor expansion of n in n 1554304277.308 * [misc]backup-simplify: Simplify 0 into 0 1554304277.308 * [misc]backup-simplify: Simplify 1 into 1 1554304277.308 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.308 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.309 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.309 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.309 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.309 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.309 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.310 * [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))) 1554304277.311 * [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)))) 1554304277.311 * [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))))) 1554304277.312 * [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)))))) 1554304277.313 * [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)))))) 1554304277.313 * [misc]backup-simplify: Simplify 0 into 0 1554304277.314 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304277.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1554304277.315 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.315 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.315 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.315 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of k in n 1554304277.315 * [misc]backup-simplify: Simplify k into k 1554304277.315 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.315 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.315 * [misc]backup-simplify: Simplify 2 into 2 1554304277.315 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.315 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.315 * [misc]backup-simplify: Simplify PI into PI 1554304277.315 * [misc]taylor: Taking taylor expansion of n in n 1554304277.315 * [misc]backup-simplify: Simplify 0 into 0 1554304277.315 * [misc]backup-simplify: Simplify 1 into 1 1554304277.316 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.316 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.316 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.317 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.317 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.317 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.317 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.318 * [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))) 1554304277.319 * [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)))) 1554304277.319 * [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))))) 1554304277.320 * [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)))))) 1554304277.321 * [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)))))) 1554304277.322 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304277.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554304277.325 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554304277.326 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304277.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304277.326 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.327 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.327 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554304277.329 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304277.330 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1554304277.330 * [misc]backup-simplify: Simplify (- 0) into 0 1554304277.330 * [misc]backup-simplify: Simplify 0 into 0 1554304277.330 * [misc]backup-simplify: Simplify 0 into 0 1554304277.331 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304277.332 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1554304277.332 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.332 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.332 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.332 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.332 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of k in n 1554304277.332 * [misc]backup-simplify: Simplify k into k 1554304277.332 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.332 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554304277.332 * [misc]taylor: Taking taylor expansion of 2 in n 1554304277.333 * [misc]backup-simplify: Simplify 2 into 2 1554304277.333 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.333 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.333 * [misc]backup-simplify: Simplify PI into PI 1554304277.333 * [misc]taylor: Taking taylor expansion of n in n 1554304277.333 * [misc]backup-simplify: Simplify 0 into 0 1554304277.333 * [misc]backup-simplify: Simplify 1 into 1 1554304277.333 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.333 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554304277.334 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554304277.334 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.335 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304277.335 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304277.336 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554304277.336 * [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))) 1554304277.337 * [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)))) 1554304277.337 * [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))))) 1554304277.338 * [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)))))) 1554304277.339 * [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)))))) 1554304277.342 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1554304277.343 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1554304277.343 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1554304277.343 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.343 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of k in n 1554304277.343 * [misc]backup-simplify: Simplify k into k 1554304277.343 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.343 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.343 * [misc]backup-simplify: Simplify -2 into -2 1554304277.343 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.343 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.343 * [misc]backup-simplify: Simplify PI into PI 1554304277.343 * [misc]taylor: Taking taylor expansion of n in n 1554304277.343 * [misc]backup-simplify: Simplify 0 into 0 1554304277.343 * [misc]backup-simplify: Simplify 1 into 1 1554304277.344 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.344 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.344 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.344 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.345 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.345 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.346 * [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))) 1554304277.346 * [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)))) 1554304277.346 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304277.347 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304277.347 * [misc]taylor: Taking taylor expansion of -1 in n 1554304277.347 * [misc]backup-simplify: Simplify -1 into -1 1554304277.347 * [misc]taylor: Taking taylor expansion of k in n 1554304277.347 * [misc]backup-simplify: Simplify k into k 1554304277.347 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304277.347 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304277.347 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304277.347 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304277.348 * [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))) 1554304277.348 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.348 * [misc]taylor: Taking taylor expansion of k in k 1554304277.348 * [misc]backup-simplify: Simplify 0 into 0 1554304277.348 * [misc]backup-simplify: Simplify 1 into 1 1554304277.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.349 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304277.349 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304277.349 * [misc]taylor: Taking taylor expansion of -2 in k 1554304277.349 * [misc]backup-simplify: Simplify -2 into -2 1554304277.349 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.349 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.349 * [misc]backup-simplify: Simplify PI into PI 1554304277.349 * [misc]taylor: Taking taylor expansion of n in k 1554304277.349 * [misc]backup-simplify: Simplify n into n 1554304277.349 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.349 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304277.349 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304277.349 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.349 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.349 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304277.350 * [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))) 1554304277.350 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304277.350 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304277.350 * [misc]taylor: Taking taylor expansion of -1 in k 1554304277.350 * [misc]backup-simplify: Simplify -1 into -1 1554304277.350 * [misc]taylor: Taking taylor expansion of k in k 1554304277.350 * [misc]backup-simplify: Simplify 0 into 0 1554304277.350 * [misc]backup-simplify: Simplify 1 into 1 1554304277.350 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304277.350 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.351 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304277.351 * [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)))) 1554304277.351 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304277.351 * [misc]taylor: Taking taylor expansion of k in k 1554304277.351 * [misc]backup-simplify: Simplify 0 into 0 1554304277.351 * [misc]backup-simplify: Simplify 1 into 1 1554304277.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304277.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304277.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.351 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554304277.352 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554304277.352 * [misc]taylor: Taking taylor expansion of -2 in k 1554304277.352 * [misc]backup-simplify: Simplify -2 into -2 1554304277.352 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554304277.352 * [misc]taylor: Taking taylor expansion of PI in k 1554304277.352 * [misc]backup-simplify: Simplify PI into PI 1554304277.352 * [misc]taylor: Taking taylor expansion of n in k 1554304277.352 * [misc]backup-simplify: Simplify n into n 1554304277.352 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554304277.352 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554304277.352 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554304277.352 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304277.352 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304277.352 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554304277.353 * [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))) 1554304277.353 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304277.353 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304277.353 * [misc]taylor: Taking taylor expansion of -1 in k 1554304277.353 * [misc]backup-simplify: Simplify -1 into -1 1554304277.353 * [misc]taylor: Taking taylor expansion of k in k 1554304277.353 * [misc]backup-simplify: Simplify 0 into 0 1554304277.353 * [misc]backup-simplify: Simplify 1 into 1 1554304277.353 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304277.353 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304277.354 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304277.354 * [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)))) 1554304277.354 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554304277.354 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.354 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.354 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.354 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.354 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.354 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.354 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.354 * [misc]backup-simplify: Simplify -2 into -2 1554304277.354 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.354 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.354 * [misc]backup-simplify: Simplify PI into PI 1554304277.354 * [misc]taylor: Taking taylor expansion of n in n 1554304277.354 * [misc]backup-simplify: Simplify 0 into 0 1554304277.354 * [misc]backup-simplify: Simplify 1 into 1 1554304277.355 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.355 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.355 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.355 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.356 * [misc]taylor: Taking taylor expansion of k in n 1554304277.356 * [misc]backup-simplify: Simplify k into k 1554304277.356 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.356 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.356 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.357 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.357 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304277.358 * [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)))) 1554304277.358 * [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))))) 1554304277.359 * [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))))) 1554304277.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304277.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304277.361 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304277.361 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.361 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.361 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.361 * [misc]backup-simplify: Simplify -2 into -2 1554304277.361 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.361 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.361 * [misc]backup-simplify: Simplify PI into PI 1554304277.361 * [misc]taylor: Taking taylor expansion of n in n 1554304277.361 * [misc]backup-simplify: Simplify 0 into 0 1554304277.361 * [misc]backup-simplify: Simplify 1 into 1 1554304277.362 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.362 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.362 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.362 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.363 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.363 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.363 * [misc]taylor: Taking taylor expansion of k in n 1554304277.363 * [misc]backup-simplify: Simplify k into k 1554304277.363 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.364 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.364 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.364 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304277.365 * [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)))) 1554304277.365 * [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))))) 1554304277.366 * [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)))))) 1554304277.367 * [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)))))) 1554304277.368 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.368 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304277.368 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304277.368 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304277.369 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554304277.370 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554304277.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554304277.373 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1554304277.375 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304277.375 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1554304277.375 * [misc]backup-simplify: Simplify 0 into 0 1554304277.376 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304277.377 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304277.377 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304277.377 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554304277.377 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554304277.377 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554304277.378 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554304277.378 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of -2 in n 1554304277.378 * [misc]backup-simplify: Simplify -2 into -2 1554304277.378 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of PI in n 1554304277.378 * [misc]backup-simplify: Simplify PI into PI 1554304277.378 * [misc]taylor: Taking taylor expansion of n in n 1554304277.378 * [misc]backup-simplify: Simplify 0 into 0 1554304277.378 * [misc]backup-simplify: Simplify 1 into 1 1554304277.378 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554304277.378 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554304277.378 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554304277.378 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.378 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304277.378 * [misc]taylor: Taking taylor expansion of k in n 1554304277.378 * [misc]backup-simplify: Simplify k into k 1554304277.378 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304277.379 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304277.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304277.379 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554304277.379 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304277.379 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304277.379 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1554304277.380 * [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)))) 1554304277.380 * [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))))) 1554304277.381 * [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)))))) 1554304277.381 * [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)))))) 1554304277.382 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1554304277.383 * * * [misc]progress: simplifying candidates 1554304277.383 * * * * [misc]progress: [ 1 / 132 ] simplifiying candidate # 1554304277.383 * * * * [misc]progress: [ 2 / 132 ] simplifiying candidate # 1554304277.383 * * * * [misc]progress: [ 3 / 132 ] simplifiying candidate # 1554304277.383 * [enter]simplify: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) 1554304277.383 * * [misc]simplify: iters left: 6 (11 enodes) 1554304277.386 * * [misc]simplify: iters left: 5 (43 enodes) 1554304277.393 * * [misc]simplify: iters left: 4 (79 enodes) 1554304277.407 * * [misc]simplify: iters left: 3 (178 enodes) 1554304277.469 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.469 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554304277.470 * * [misc]simplify: Extracting #2: cost 115 inf + 1 1554304277.470 * * [misc]simplify: Extracting #3: cost 122 inf + 547 1554304277.471 * * [misc]simplify: Extracting #4: cost 98 inf + 3382 1554304277.476 * * [misc]simplify: Extracting #5: cost 29 inf + 17882 1554304277.487 * * [misc]simplify: Extracting #6: cost 1 inf + 26098 1554304277.499 * * [misc]simplify: Extracting #7: cost 0 inf + 26523 1554304277.512 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) 1554304277.512 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))) 1554304277.512 * * * * [misc]progress: [ 4 / 132 ] simplifiying candidate # 1554304277.512 * * * * [misc]progress: [ 5 / 132 ] simplifiying candidate # 1554304277.512 * [enter]simplify: Simplifying (* (* n 2) PI) 1554304277.512 * * [misc]simplify: iters left: 4 (5 enodes) 1554304277.516 * * [misc]simplify: iters left: 3 (19 enodes) 1554304277.522 * * [misc]simplify: iters left: 2 (27 enodes) 1554304277.530 * * [misc]simplify: iters left: 1 (32 enodes) 1554304277.537 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.537 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304277.537 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304277.538 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304277.538 * [exit]simplify: Simplified to (* (* n 2) PI) 1554304277.538 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2))))))) 1554304277.538 * * * * [misc]progress: [ 6 / 132 ] simplifiying candidate # 1554304277.539 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554304277.539 * * [misc]simplify: iters left: 5 (8 enodes) 1554304277.543 * * [misc]simplify: iters left: 4 (28 enodes) 1554304277.551 * * [misc]simplify: iters left: 3 (36 enodes) 1554304277.564 * * [misc]simplify: iters left: 2 (41 enodes) 1554304277.574 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.574 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304277.574 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304277.575 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304277.575 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554304277.575 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554304277.576 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554304277.576 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2)))))) 1554304277.576 * * * * [misc]progress: [ 7 / 132 ] simplifiying candidate # 1554304277.576 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554304277.577 * * [misc]simplify: iters left: 5 (6 enodes) 1554304277.580 * * [misc]simplify: iters left: 4 (20 enodes) 1554304277.586 * * [misc]simplify: iters left: 3 (25 enodes) 1554304277.591 * * [misc]simplify: iters left: 2 (27 enodes) 1554304277.595 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.595 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304277.595 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304277.595 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304277.595 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304277.596 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304277.596 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554304277.596 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554304277.596 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554304277.596 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1554304277.596 * * * * [misc]progress: [ 8 / 132 ] simplifiying candidate # 1554304277.596 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554304277.596 * * [misc]simplify: iters left: 5 (6 enodes) 1554304277.598 * * [misc]simplify: iters left: 4 (20 enodes) 1554304277.602 * * [misc]simplify: iters left: 3 (25 enodes) 1554304277.605 * * [misc]simplify: iters left: 2 (27 enodes) 1554304277.609 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.609 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304277.609 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304277.609 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304277.609 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304277.609 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304277.609 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554304277.610 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554304277.610 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554304277.610 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1554304277.610 * * * * [misc]progress: [ 9 / 132 ] simplifiying candidate # 1554304277.610 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554304277.610 * * [misc]simplify: iters left: 4 (5 enodes) 1554304277.612 * * [misc]simplify: iters left: 3 (17 enodes) 1554304277.615 * * [misc]simplify: iters left: 2 (22 enodes) 1554304277.618 * * [misc]simplify: iters left: 1 (24 enodes) 1554304277.622 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.622 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304277.622 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304277.622 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554304277.623 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554304277.623 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554304277.623 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))) 1554304277.623 * * * * [misc]progress: [ 10 / 132 ] simplifiying candidate # 1554304277.623 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554304277.623 * * [misc]simplify: iters left: 5 (9 enodes) 1554304277.628 * * [misc]simplify: iters left: 4 (33 enodes) 1554304277.638 * * [misc]simplify: iters left: 3 (43 enodes) 1554304277.650 * * [misc]simplify: iters left: 2 (48 enodes) 1554304277.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.663 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304277.663 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304277.663 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554304277.663 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554304277.663 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554304277.664 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554304277.664 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554304277.664 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2))))))) 1554304277.665 * * * * [misc]progress: [ 11 / 132 ] simplifiying candidate # 1554304277.665 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554304277.665 * * [misc]simplify: iters left: 5 (9 enodes) 1554304277.669 * * [misc]simplify: iters left: 4 (33 enodes) 1554304277.679 * * [misc]simplify: iters left: 3 (43 enodes) 1554304277.692 * * [misc]simplify: iters left: 2 (48 enodes) 1554304277.705 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.705 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304277.705 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304277.705 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554304277.705 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554304277.706 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554304277.706 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554304277.707 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554304277.707 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2))))))) 1554304277.707 * * * * [misc]progress: [ 12 / 132 ] simplifiying candidate # 1554304277.707 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554304277.708 * * [misc]simplify: iters left: 5 (8 enodes) 1554304277.712 * * [misc]simplify: iters left: 4 (27 enodes) 1554304277.721 * * [misc]simplify: iters left: 3 (32 enodes) 1554304277.727 * * [misc]simplify: iters left: 2 (34 enodes) 1554304277.732 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.732 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304277.732 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554304277.732 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554304277.732 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554304277.733 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554304277.733 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554304277.733 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304277.733 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 1554304277.733 * * * * [misc]progress: [ 13 / 132 ] simplifiying candidate # 1554304277.733 * * * * [misc]progress: [ 14 / 132 ] simplifiying candidate # 1554304277.733 * * * * [misc]progress: [ 15 / 132 ] simplifiying candidate # 1554304277.733 * * * * [misc]progress: [ 16 / 132 ] simplifiying candidate # 1554304277.733 * * * * [misc]progress: [ 17 / 132 ] simplifiying candidate # 1554304277.733 * * * * [misc]progress: [ 18 / 132 ] simplifiying candidate # 1554304277.733 * * * * [misc]progress: [ 19 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 20 / 132 ] simplifiying candidate #real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))> 1554304277.734 * * * * [misc]progress: [ 21 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 22 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 23 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 24 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 25 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 26 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 27 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 28 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 29 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 30 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 31 / 132 ] simplifiying candidate #real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))> 1554304277.734 * * * * [misc]progress: [ 32 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 33 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 34 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 35 / 132 ] simplifiying candidate # 1554304277.734 * * * * [misc]progress: [ 36 / 132 ] simplifiying candidate # 1554304277.734 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1554304277.734 * * [misc]simplify: iters left: 6 (14 enodes) 1554304277.738 * * [misc]simplify: iters left: 5 (54 enodes) 1554304277.752 * * [misc]simplify: iters left: 4 (99 enodes) 1554304277.774 * * [misc]simplify: iters left: 3 (259 enodes) 1554304277.854 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304277.854 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554304277.855 * * [misc]simplify: Extracting #2: cost 163 inf + 0 1554304277.857 * * [misc]simplify: Extracting #3: cost 211 inf + 74 1554304277.864 * * [misc]simplify: Extracting #4: cost 158 inf + 7862 1554304277.877 * * [misc]simplify: Extracting #5: cost 36 inf + 34909 1554304277.887 * * [misc]simplify: Extracting #6: cost 1 inf + 45836 1554304277.897 * * [misc]simplify: Extracting #7: cost 0 inf + 46030 1554304277.909 * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1554304277.909 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1554304277.909 * * * * [misc]progress: [ 37 / 132 ] simplifiying candidate # 1554304277.910 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1554304277.910 * * [misc]simplify: iters left: 6 (14 enodes) 1554304277.917 * * [misc]simplify: iters left: 5 (54 enodes) 1554304277.928 * * [misc]simplify: iters left: 4 (99 enodes) 1554304277.947 * * [misc]simplify: iters left: 3 (259 enodes) 1554304278.034 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.034 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554304278.034 * * [misc]simplify: Extracting #2: cost 163 inf + 0 1554304278.035 * * [misc]simplify: Extracting #3: cost 211 inf + 74 1554304278.037 * * [misc]simplify: Extracting #4: cost 158 inf + 7862 1554304278.043 * * [misc]simplify: Extracting #5: cost 36 inf + 34909 1554304278.053 * * [misc]simplify: Extracting #6: cost 1 inf + 45836 1554304278.066 * * [misc]simplify: Extracting #7: cost 0 inf + 46030 1554304278.085 * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1554304278.085 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1554304278.085 * * * * [misc]progress: [ 38 / 132 ] simplifiying candidate # 1554304278.086 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304278.086 * * [misc]simplify: iters left: 6 (14 enodes) 1554304278.093 * * [misc]simplify: iters left: 5 (52 enodes) 1554304278.110 * * [misc]simplify: iters left: 4 (82 enodes) 1554304278.136 * * [misc]simplify: iters left: 3 (165 enodes) 1554304278.206 * * [misc]simplify: iters left: 2 (417 enodes) 1554304278.389 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.389 * * [misc]simplify: Extracting #1: cost 54 inf + 0 1554304278.391 * * [misc]simplify: Extracting #2: cost 227 inf + 0 1554304278.393 * * [misc]simplify: Extracting #3: cost 261 inf + 965 1554304278.401 * * [misc]simplify: Extracting #4: cost 155 inf + 21846 1554304278.423 * * [misc]simplify: Extracting #5: cost 31 inf + 56378 1554304278.439 * * [misc]simplify: Extracting #6: cost 0 inf + 66300 1554304278.460 * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1554304278.460 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1554304278.461 * * * * [misc]progress: [ 39 / 132 ] simplifiying candidate # 1554304278.461 * * * * [misc]progress: [ 40 / 132 ] simplifiying candidate # 1554304278.461 * * * * [misc]progress: [ 41 / 132 ] simplifiying candidate # 1554304278.461 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304278.461 * * [misc]simplify: iters left: 6 (16 enodes) 1554304278.470 * * [misc]simplify: iters left: 5 (61 enodes) 1554304278.489 * * [misc]simplify: iters left: 4 (115 enodes) 1554304278.531 * * [misc]simplify: iters left: 3 (192 enodes) 1554304278.574 * * [misc]simplify: iters left: 2 (231 enodes) 1554304278.609 * * [misc]simplify: iters left: 1 (252 enodes) 1554304278.645 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.645 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554304278.646 * * [misc]simplify: Extracting #2: cost 46 inf + 42 1554304278.646 * * [misc]simplify: Extracting #3: cost 53 inf + 246 1554304278.646 * * [misc]simplify: Extracting #4: cost 52 inf + 458 1554304278.647 * * [misc]simplify: Extracting #5: cost 24 inf + 9511 1554304278.651 * * [misc]simplify: Extracting #6: cost 3 inf + 18519 1554304278.655 * * [misc]simplify: Extracting #7: cost 0 inf + 19924 1554304278.660 * [exit]simplify: Simplified to (/ (* k (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1554304278.660 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* k (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1554304278.660 * * * * [misc]progress: [ 42 / 132 ] simplifiying candidate # 1554304278.660 * * * * [misc]progress: [ 43 / 132 ] simplifiying candidate # 1554304278.660 * * * * [misc]progress: [ 44 / 132 ] simplifiying candidate # 1554304278.660 * * * * [misc]progress: [ 45 / 132 ] simplifiying candidate # 1554304278.660 * * * * [misc]progress: [ 46 / 132 ] simplifiying candidate # 1554304278.660 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) 1554304278.660 * * [misc]simplify: iters left: 6 (12 enodes) 1554304278.663 * * [misc]simplify: iters left: 5 (43 enodes) 1554304278.670 * * [misc]simplify: iters left: 4 (55 enodes) 1554304278.679 * * [misc]simplify: iters left: 3 (63 enodes) 1554304278.688 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.688 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304278.688 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304278.688 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554304278.688 * * [misc]simplify: Extracting #4: cost 19 inf + 130 1554304278.688 * * [misc]simplify: Extracting #5: cost 9 inf + 986 1554304278.689 * * [misc]simplify: Extracting #6: cost 3 inf + 2207 1554304278.689 * * [misc]simplify: Extracting #7: cost 0 inf + 3099 1554304278.690 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) 1554304278.690 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554304278.690 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304278.690 * * [misc]simplify: iters left: 6 (12 enodes) 1554304278.693 * * [misc]simplify: iters left: 5 (42 enodes) 1554304278.699 * * [misc]simplify: iters left: 4 (52 enodes) 1554304278.706 * * [misc]simplify: iters left: 3 (57 enodes) 1554304278.714 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.714 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304278.714 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304278.714 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304278.714 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304278.714 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304278.714 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554304278.715 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554304278.715 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304278.715 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1554304278.715 * * * * [misc]progress: [ 47 / 132 ] simplifiying candidate # 1554304278.715 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) 1554304278.716 * * [misc]simplify: iters left: 6 (12 enodes) 1554304278.719 * * [misc]simplify: iters left: 5 (43 enodes) 1554304278.725 * * [misc]simplify: iters left: 4 (55 enodes) 1554304278.733 * * [misc]simplify: iters left: 3 (63 enodes) 1554304278.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.741 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304278.741 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304278.741 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554304278.741 * * [misc]simplify: Extracting #4: cost 19 inf + 130 1554304278.742 * * [misc]simplify: Extracting #5: cost 9 inf + 986 1554304278.742 * * [misc]simplify: Extracting #6: cost 3 inf + 2207 1554304278.742 * * [misc]simplify: Extracting #7: cost 0 inf + 3099 1554304278.743 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) 1554304278.743 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554304278.743 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304278.743 * * [misc]simplify: iters left: 6 (12 enodes) 1554304278.746 * * [misc]simplify: iters left: 5 (42 enodes) 1554304278.752 * * [misc]simplify: iters left: 4 (52 enodes) 1554304278.760 * * [misc]simplify: iters left: 3 (57 enodes) 1554304278.768 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.768 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304278.768 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304278.768 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304278.768 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304278.768 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304278.768 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554304278.769 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554304278.769 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304278.769 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1554304278.769 * * * * [misc]progress: [ 48 / 132 ] simplifiying candidate # 1554304278.769 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304278.770 * * [misc]simplify: iters left: 6 (12 enodes) 1554304278.773 * * [misc]simplify: iters left: 5 (41 enodes) 1554304278.779 * * [misc]simplify: iters left: 4 (50 enodes) 1554304278.786 * * [misc]simplify: iters left: 3 (55 enodes) 1554304278.794 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.794 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304278.794 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304278.794 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304278.794 * * [misc]simplify: Extracting #4: cost 22 inf + 45 1554304278.794 * * [misc]simplify: Extracting #5: cost 12 inf + 983 1554304278.795 * * [misc]simplify: Extracting #6: cost 2 inf + 3914 1554304278.795 * * [misc]simplify: Extracting #7: cost 0 inf + 4942 1554304278.796 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304278.796 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304278.796 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304278.796 * * [misc]simplify: iters left: 6 (10 enodes) 1554304278.799 * * [misc]simplify: iters left: 5 (32 enodes) 1554304278.804 * * [misc]simplify: iters left: 4 (37 enodes) 1554304278.809 * * [misc]simplify: iters left: 3 (39 enodes) 1554304278.815 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.815 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304278.815 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304278.815 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304278.815 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304278.815 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304278.815 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554304278.815 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554304278.816 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304278.816 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304278.816 * * * * [misc]progress: [ 49 / 132 ] simplifiying candidate # 1554304278.816 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554304278.816 * * [misc]simplify: iters left: 6 (16 enodes) 1554304278.820 * * [misc]simplify: iters left: 5 (60 enodes) 1554304278.829 * * [misc]simplify: iters left: 4 (88 enodes) 1554304278.843 * * [misc]simplify: iters left: 3 (102 enodes) 1554304278.862 * * [misc]simplify: iters left: 2 (105 enodes) 1554304278.889 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.889 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304278.889 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304278.889 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554304278.890 * * [misc]simplify: Extracting #4: cost 36 inf + 42 1554304278.890 * * [misc]simplify: Extracting #5: cost 32 inf + 693 1554304278.890 * * [misc]simplify: Extracting #6: cost 23 inf + 1234 1554304278.891 * * [misc]simplify: Extracting #7: cost 17 inf + 1940 1554304278.893 * * [misc]simplify: Extracting #8: cost 3 inf + 10070 1554304278.897 * * [misc]simplify: Extracting #9: cost 0 inf + 11915 1554304278.900 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554304278.900 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 1554304278.901 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304278.901 * * [misc]simplify: iters left: 6 (14 enodes) 1554304278.908 * * [misc]simplify: iters left: 5 (48 enodes) 1554304278.923 * * [misc]simplify: iters left: 4 (61 enodes) 1554304278.940 * * [misc]simplify: iters left: 3 (68 enodes) 1554304278.958 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304278.958 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304278.958 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304278.958 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304278.958 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304278.958 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304278.959 * * [misc]simplify: Extracting #6: cost 4 inf + 3019 1554304278.960 * * [misc]simplify: Extracting #7: cost 0 inf + 4133 1554304278.961 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304278.961 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 1554304278.961 * * * * [misc]progress: [ 50 / 132 ] simplifiying candidate # 1554304278.963 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304278.963 * * [misc]simplify: iters left: 6 (15 enodes) 1554304278.971 * * [misc]simplify: iters left: 5 (53 enodes) 1554304278.987 * * [misc]simplify: iters left: 4 (70 enodes) 1554304279.007 * * [misc]simplify: iters left: 3 (80 enodes) 1554304279.028 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.028 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304279.029 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304279.029 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304279.029 * * [misc]simplify: Extracting #4: cost 29 inf + 1 1554304279.029 * * [misc]simplify: Extracting #5: cost 28 inf + 129 1554304279.030 * * [misc]simplify: Extracting #6: cost 11 inf + 2482 1554304279.031 * * [misc]simplify: Extracting #7: cost 1 inf + 6100 1554304279.033 * * [misc]simplify: Extracting #8: cost 0 inf + 6675 1554304279.034 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1554304279.034 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 1554304279.035 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304279.035 * * [misc]simplify: iters left: 6 (14 enodes) 1554304279.042 * * [misc]simplify: iters left: 5 (48 enodes) 1554304279.056 * * [misc]simplify: iters left: 4 (61 enodes) 1554304279.074 * * [misc]simplify: iters left: 3 (68 enodes) 1554304279.091 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.091 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.091 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304279.091 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304279.091 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304279.092 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304279.092 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554304279.093 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554304279.095 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304279.095 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 1554304279.095 * * * * [misc]progress: [ 51 / 132 ] simplifiying candidate # 1554304279.095 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1554304279.095 * * [misc]simplify: iters left: 6 (6 enodes) 1554304279.098 * * [misc]simplify: iters left: 5 (20 enodes) 1554304279.105 * * [misc]simplify: iters left: 4 (30 enodes) 1554304279.115 * * [misc]simplify: iters left: 3 (31 enodes) 1554304279.125 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.125 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304279.125 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304279.125 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554304279.125 * * [misc]simplify: Extracting #4: cost 8 inf + 2 1554304279.125 * * [misc]simplify: Extracting #5: cost 0 inf + 972 1554304279.126 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554304279.126 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304279.126 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304279.126 * * [misc]simplify: iters left: 6 (13 enodes) 1554304279.133 * * [misc]simplify: iters left: 5 (45 enodes) 1554304279.146 * * [misc]simplify: iters left: 4 (58 enodes) 1554304279.162 * * [misc]simplify: iters left: 3 (65 enodes) 1554304279.179 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.180 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.180 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.180 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304279.180 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554304279.180 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554304279.181 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1554304279.182 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1554304279.183 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304279.183 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304279.183 * * * * [misc]progress: [ 52 / 132 ] simplifiying candidate # 1554304279.183 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) 1554304279.184 * * [misc]simplify: iters left: 6 (11 enodes) 1554304279.189 * * [misc]simplify: iters left: 5 (38 enodes) 1554304279.201 * * [misc]simplify: iters left: 4 (46 enodes) 1554304279.214 * * [misc]simplify: iters left: 3 (52 enodes) 1554304279.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.228 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.228 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.228 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304279.228 * * [misc]simplify: Extracting #4: cost 10 inf + 501 1554304279.229 * * [misc]simplify: Extracting #5: cost 5 inf + 710 1554304279.229 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554304279.230 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554304279.230 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) 1554304279.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554304279.231 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304279.231 * * [misc]simplify: iters left: 6 (12 enodes) 1554304279.236 * * [misc]simplify: iters left: 5 (42 enodes) 1554304279.248 * * [misc]simplify: iters left: 4 (52 enodes) 1554304279.263 * * [misc]simplify: iters left: 3 (57 enodes) 1554304279.281 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.281 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.281 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.281 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304279.281 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304279.282 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304279.282 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554304279.283 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554304279.284 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304279.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1554304279.284 * * * * [misc]progress: [ 53 / 132 ] simplifiying candidate # 1554304279.284 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) 1554304279.285 * * [misc]simplify: iters left: 6 (11 enodes) 1554304279.288 * * [misc]simplify: iters left: 5 (38 enodes) 1554304279.293 * * [misc]simplify: iters left: 4 (46 enodes) 1554304279.300 * * [misc]simplify: iters left: 3 (52 enodes) 1554304279.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.307 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.307 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.307 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304279.307 * * [misc]simplify: Extracting #4: cost 10 inf + 501 1554304279.307 * * [misc]simplify: Extracting #5: cost 5 inf + 710 1554304279.307 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554304279.308 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554304279.308 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) 1554304279.308 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554304279.308 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304279.308 * * [misc]simplify: iters left: 6 (12 enodes) 1554304279.311 * * [misc]simplify: iters left: 5 (42 enodes) 1554304279.321 * * [misc]simplify: iters left: 4 (52 enodes) 1554304279.333 * * [misc]simplify: iters left: 3 (57 enodes) 1554304279.346 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.347 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.347 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.347 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304279.347 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304279.347 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304279.348 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554304279.348 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554304279.349 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304279.349 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1554304279.349 * * * * [misc]progress: [ 54 / 132 ] simplifiying candidate # 1554304279.350 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304279.350 * * [misc]simplify: iters left: 6 (11 enodes) 1554304279.355 * * [misc]simplify: iters left: 5 (36 enodes) 1554304279.365 * * [misc]simplify: iters left: 4 (41 enodes) 1554304279.376 * * [misc]simplify: iters left: 3 (43 enodes) 1554304279.386 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.386 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.387 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.387 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304279.387 * * [misc]simplify: Extracting #4: cost 16 inf + 46 1554304279.388 * * [misc]simplify: Extracting #5: cost 11 inf + 335 1554304279.389 * * [misc]simplify: Extracting #6: cost 3 inf + 1162 1554304279.389 * * [misc]simplify: Extracting #7: cost 0 inf + 2404 1554304279.390 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304279.390 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304279.390 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304279.390 * * [misc]simplify: iters left: 6 (10 enodes) 1554304279.395 * * [misc]simplify: iters left: 5 (32 enodes) 1554304279.403 * * [misc]simplify: iters left: 4 (37 enodes) 1554304279.412 * * [misc]simplify: iters left: 3 (39 enodes) 1554304279.422 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.422 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.422 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.422 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304279.422 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304279.422 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304279.423 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554304279.423 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304279.424 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304279.424 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304279.424 * * * * [misc]progress: [ 55 / 132 ] simplifiying candidate # 1554304279.424 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554304279.424 * * [misc]simplify: iters left: 6 (15 enodes) 1554304279.431 * * [misc]simplify: iters left: 5 (53 enodes) 1554304279.445 * * [misc]simplify: iters left: 4 (68 enodes) 1554304279.462 * * [misc]simplify: iters left: 3 (75 enodes) 1554304279.479 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.479 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304279.479 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304279.479 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304279.480 * * [misc]simplify: Extracting #4: cost 27 inf + 1 1554304279.480 * * [misc]simplify: Extracting #5: cost 24 inf + 213 1554304279.480 * * [misc]simplify: Extracting #6: cost 6 inf + 3317 1554304279.482 * * [misc]simplify: Extracting #7: cost 0 inf + 6193 1554304279.483 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1554304279.483 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 1554304279.483 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304279.483 * * [misc]simplify: iters left: 6 (14 enodes) 1554304279.489 * * [misc]simplify: iters left: 5 (48 enodes) 1554304279.502 * * [misc]simplify: iters left: 4 (61 enodes) 1554304279.513 * * [misc]simplify: iters left: 3 (68 enodes) 1554304279.530 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.530 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.530 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304279.530 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304279.530 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304279.531 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304279.531 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554304279.532 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554304279.533 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304279.534 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 1554304279.534 * * * * [misc]progress: [ 56 / 132 ] simplifiying candidate # 1554304279.534 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304279.534 * * [misc]simplify: iters left: 6 (14 enodes) 1554304279.541 * * [misc]simplify: iters left: 5 (48 enodes) 1554304279.555 * * [misc]simplify: iters left: 4 (61 enodes) 1554304279.565 * * [misc]simplify: iters left: 3 (68 enodes) 1554304279.574 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.574 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.574 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304279.574 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304279.574 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304279.574 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304279.574 * * [misc]simplify: Extracting #6: cost 4 inf + 2779 1554304279.575 * * [misc]simplify: Extracting #7: cost 0 inf + 3813 1554304279.575 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304279.575 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 1554304279.576 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304279.576 * * [misc]simplify: iters left: 6 (14 enodes) 1554304279.582 * * [misc]simplify: iters left: 5 (48 enodes) 1554304279.596 * * [misc]simplify: iters left: 4 (61 enodes) 1554304279.607 * * [misc]simplify: iters left: 3 (68 enodes) 1554304279.616 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.616 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.616 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304279.616 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304279.616 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304279.617 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304279.617 * * [misc]simplify: Extracting #6: cost 4 inf + 2779 1554304279.618 * * [misc]simplify: Extracting #7: cost 0 inf + 3813 1554304279.618 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304279.618 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))) 1554304279.618 * * * * [misc]progress: [ 57 / 132 ] simplifiying candidate # 1554304279.619 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1554304279.619 * * [misc]simplify: iters left: 4 (5 enodes) 1554304279.620 * * [misc]simplify: iters left: 3 (15 enodes) 1554304279.622 * * [misc]simplify: iters left: 2 (17 enodes) 1554304279.625 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.625 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.625 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304279.625 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1554304279.625 * * [misc]simplify: Extracting #4: cost 1 inf + 165 1554304279.625 * * [misc]simplify: Extracting #5: cost 0 inf + 246 1554304279.625 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554304279.625 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304279.625 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304279.625 * * [misc]simplify: iters left: 6 (13 enodes) 1554304279.629 * * [misc]simplify: iters left: 5 (45 enodes) 1554304279.636 * * [misc]simplify: iters left: 4 (58 enodes) 1554304279.652 * * [misc]simplify: iters left: 3 (65 enodes) 1554304279.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.669 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.669 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.669 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304279.669 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554304279.669 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554304279.670 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1554304279.671 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1554304279.672 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304279.672 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304279.672 * * * * [misc]progress: [ 58 / 132 ] simplifiying candidate # 1554304279.673 * [enter]simplify: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2)) 1554304279.673 * * [misc]simplify: iters left: 6 (9 enodes) 1554304279.678 * * [misc]simplify: iters left: 5 (34 enodes) 1554304279.689 * * [misc]simplify: iters left: 4 (44 enodes) 1554304279.703 * * [misc]simplify: iters left: 3 (49 enodes) 1554304279.716 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.716 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.716 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304279.716 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1554304279.716 * * [misc]simplify: Extracting #4: cost 6 inf + 501 1554304279.717 * * [misc]simplify: Extracting #5: cost 0 inf + 997 1554304279.717 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* PI 2)))) 1554304279.717 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554304279.718 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304279.718 * * [misc]simplify: iters left: 6 (11 enodes) 1554304279.724 * * [misc]simplify: iters left: 5 (39 enodes) 1554304279.735 * * [misc]simplify: iters left: 4 (49 enodes) 1554304279.742 * * [misc]simplify: iters left: 3 (55 enodes) 1554304279.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.749 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.749 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.749 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304279.749 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554304279.749 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554304279.750 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554304279.750 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554304279.750 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1554304279.750 * * * * [misc]progress: [ 59 / 132 ] simplifiying candidate # 1554304279.750 * [enter]simplify: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2)) 1554304279.750 * * [misc]simplify: iters left: 6 (9 enodes) 1554304279.754 * * [misc]simplify: iters left: 5 (34 enodes) 1554304279.760 * * [misc]simplify: iters left: 4 (44 enodes) 1554304279.771 * * [misc]simplify: iters left: 3 (49 enodes) 1554304279.785 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.785 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.785 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304279.785 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1554304279.785 * * [misc]simplify: Extracting #4: cost 6 inf + 501 1554304279.786 * * [misc]simplify: Extracting #5: cost 0 inf + 997 1554304279.786 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* PI 2)))) 1554304279.786 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554304279.787 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304279.787 * * [misc]simplify: iters left: 6 (11 enodes) 1554304279.792 * * [misc]simplify: iters left: 5 (39 enodes) 1554304279.803 * * [misc]simplify: iters left: 4 (49 enodes) 1554304279.817 * * [misc]simplify: iters left: 3 (55 enodes) 1554304279.831 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.831 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.831 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.831 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304279.832 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554304279.832 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554304279.833 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554304279.833 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554304279.833 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1554304279.834 * * * * [misc]progress: [ 60 / 132 ] simplifiying candidate # 1554304279.834 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1554304279.834 * * [misc]simplify: iters left: 6 (10 enodes) 1554304279.840 * * [misc]simplify: iters left: 5 (35 enodes) 1554304279.851 * * [misc]simplify: iters left: 4 (42 enodes) 1554304279.863 * * [misc]simplify: iters left: 3 (44 enodes) 1554304279.870 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.870 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.870 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304279.870 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304279.870 * * [misc]simplify: Extracting #4: cost 13 inf + 46 1554304279.870 * * [misc]simplify: Extracting #5: cost 11 inf + 130 1554304279.870 * * [misc]simplify: Extracting #6: cost 5 inf + 503 1554304279.870 * * [misc]simplify: Extracting #7: cost 0 inf + 2003 1554304279.871 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1554304279.871 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304279.871 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304279.871 * * [misc]simplify: iters left: 6 (9 enodes) 1554304279.873 * * [misc]simplify: iters left: 5 (29 enodes) 1554304279.878 * * [misc]simplify: iters left: 4 (34 enodes) 1554304279.884 * * [misc]simplify: iters left: 3 (36 enodes) 1554304279.890 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.890 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.890 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304279.890 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304279.890 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304279.891 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554304279.891 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554304279.891 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554304279.892 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304279.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304279.892 * * * * [misc]progress: [ 61 / 132 ] simplifiying candidate # 1554304279.893 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554304279.893 * * [misc]simplify: iters left: 6 (14 enodes) 1554304279.900 * * [misc]simplify: iters left: 5 (52 enodes) 1554304279.917 * * [misc]simplify: iters left: 4 (69 enodes) 1554304279.931 * * [misc]simplify: iters left: 3 (77 enodes) 1554304279.941 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.941 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304279.941 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304279.941 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554304279.941 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304279.941 * * [misc]simplify: Extracting #5: cost 23 inf + 172 1554304279.942 * * [misc]simplify: Extracting #6: cost 14 inf + 713 1554304279.942 * * [misc]simplify: Extracting #7: cost 4 inf + 3651 1554304279.943 * * [misc]simplify: Extracting #8: cost 0 inf + 5634 1554304279.944 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1554304279.944 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 1554304279.944 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304279.944 * * [misc]simplify: iters left: 6 (13 enodes) 1554304279.947 * * [misc]simplify: iters left: 5 (45 enodes) 1554304279.955 * * [misc]simplify: iters left: 4 (58 enodes) 1554304279.972 * * [misc]simplify: iters left: 3 (65 enodes) 1554304279.989 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304279.989 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304279.989 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304279.989 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304279.989 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554304279.989 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554304279.990 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554304279.990 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554304279.992 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554304279.993 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554304279.993 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))) 1554304279.993 * * * * [misc]progress: [ 62 / 132 ] simplifiying candidate # 1554304279.993 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304279.994 * * [misc]simplify: iters left: 6 (13 enodes) 1554304280.002 * * [misc]simplify: iters left: 5 (47 enodes) 1554304280.011 * * [misc]simplify: iters left: 4 (62 enodes) 1554304280.020 * * [misc]simplify: iters left: 3 (69 enodes) 1554304280.029 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.029 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.029 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304280.030 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554304280.030 * * [misc]simplify: Extracting #4: cost 19 inf + 1 1554304280.030 * * [misc]simplify: Extracting #5: cost 17 inf + 297 1554304280.030 * * [misc]simplify: Extracting #6: cost 10 inf + 632 1554304280.030 * * [misc]simplify: Extracting #7: cost 2 inf + 2915 1554304280.031 * * [misc]simplify: Extracting #8: cost 0 inf + 3412 1554304280.031 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1554304280.031 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) 1554304280.032 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.032 * * [misc]simplify: iters left: 6 (13 enodes) 1554304280.037 * * [misc]simplify: iters left: 5 (45 enodes) 1554304280.050 * * [misc]simplify: iters left: 4 (58 enodes) 1554304280.067 * * [misc]simplify: iters left: 3 (65 enodes) 1554304280.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.084 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.084 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304280.084 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304280.084 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554304280.084 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554304280.084 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554304280.085 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1554304280.086 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1554304280.087 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554304280.087 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))) 1554304280.087 * * * * [misc]progress: [ 63 / 132 ] simplifiying candidate # 1554304280.088 * [enter]simplify: Simplifying (/ 1 1) 1554304280.088 * * [misc]simplify: iters left: 2 (2 enodes) 1554304280.089 * * [misc]simplify: iters left: 1 (6 enodes) 1554304280.091 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.091 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304280.091 * [exit]simplify: Simplified to 1 1554304280.091 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554304280.092 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.092 * * [misc]simplify: iters left: 6 (12 enodes) 1554304280.098 * * [misc]simplify: iters left: 5 (42 enodes) 1554304280.111 * * [misc]simplify: iters left: 4 (55 enodes) 1554304280.124 * * [misc]simplify: iters left: 3 (62 enodes) 1554304280.132 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.132 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.132 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.132 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554304280.132 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554304280.132 * * [misc]simplify: Extracting #5: cost 12 inf + 504 1554304280.132 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554304280.133 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554304280.133 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1554304280.133 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1554304280.133 * * * * [misc]progress: [ 64 / 132 ] simplifiying candidate # 1554304280.133 * * * * [misc]progress: [ 65 / 132 ] simplifiying candidate # 1554304280.133 * * * * [misc]progress: [ 66 / 132 ] simplifiying candidate # 1554304280.133 * * * * [misc]progress: [ 67 / 132 ] simplifiying candidate # 1554304280.134 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554304280.134 * * [misc]simplify: iters left: 5 (9 enodes) 1554304280.136 * * [misc]simplify: iters left: 4 (33 enodes) 1554304280.141 * * [misc]simplify: iters left: 3 (43 enodes) 1554304280.149 * * [misc]simplify: iters left: 2 (48 enodes) 1554304280.157 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.157 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.157 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304280.157 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554304280.157 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554304280.157 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554304280.157 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554304280.158 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554304280.158 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2)))))) 1554304280.158 * * * * [misc]progress: [ 68 / 132 ] simplifiying candidate # 1554304280.158 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554304280.158 * * [misc]simplify: iters left: 5 (9 enodes) 1554304280.160 * * [misc]simplify: iters left: 4 (33 enodes) 1554304280.165 * * [misc]simplify: iters left: 3 (43 enodes) 1554304280.171 * * [misc]simplify: iters left: 2 (48 enodes) 1554304280.177 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.177 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.177 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304280.177 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554304280.177 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554304280.177 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554304280.178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554304280.178 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554304280.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2)))))) 1554304280.178 * * * * [misc]progress: [ 69 / 132 ] simplifiying candidate # 1554304280.178 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554304280.178 * * [misc]simplify: iters left: 5 (7 enodes) 1554304280.180 * * [misc]simplify: iters left: 4 (23 enodes) 1554304280.187 * * [misc]simplify: iters left: 3 (28 enodes) 1554304280.192 * * [misc]simplify: iters left: 2 (30 enodes) 1554304280.197 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.197 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.197 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304280.197 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304280.197 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304280.197 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304280.197 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304280.197 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304280.198 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554304280.198 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1554304280.198 * * * * [misc]progress: [ 70 / 132 ] simplifiying candidate # 1554304280.198 * [enter]simplify: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.198 * * [misc]simplify: iters left: 6 (11 enodes) 1554304280.201 * * [misc]simplify: iters left: 5 (39 enodes) 1554304280.207 * * [misc]simplify: iters left: 4 (52 enodes) 1554304280.216 * * [misc]simplify: iters left: 3 (59 enodes) 1554304280.229 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.229 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304280.229 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304280.229 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304280.230 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1554304280.230 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1554304280.231 * * [misc]simplify: Extracting #6: cost 0 inf + 2579 1554304280.232 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1554304280.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1554304280.232 * * * * [misc]progress: [ 71 / 132 ] simplifiying candidate # 1554304280.232 * [enter]simplify: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.232 * * [misc]simplify: iters left: 6 (11 enodes) 1554304280.238 * * [misc]simplify: iters left: 5 (39 enodes) 1554304280.246 * * [misc]simplify: iters left: 4 (52 enodes) 1554304280.253 * * [misc]simplify: iters left: 3 (59 enodes) 1554304280.261 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.261 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304280.261 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304280.261 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304280.261 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1554304280.261 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1554304280.262 * * [misc]simplify: Extracting #6: cost 0 inf + 2499 1554304280.262 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1554304280.262 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1554304280.262 * * * * [misc]progress: [ 72 / 132 ] simplifiying candidate # 1554304280.262 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554304280.262 * * [misc]simplify: iters left: 5 (10 enodes) 1554304280.265 * * [misc]simplify: iters left: 4 (36 enodes) 1554304280.272 * * [misc]simplify: iters left: 3 (49 enodes) 1554304280.285 * * [misc]simplify: iters left: 2 (56 enodes) 1554304280.293 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.293 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.293 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304280.293 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1554304280.293 * * [misc]simplify: Extracting #4: cost 7 inf + 630 1554304280.294 * * [misc]simplify: Extracting #5: cost 0 inf + 1669 1554304280.294 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554304280.294 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554304280.294 * * * * [misc]progress: [ 73 / 132 ] simplifiying candidate # 1554304280.294 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554304280.294 * * [misc]simplify: iters left: 4 (4 enodes) 1554304280.295 * * [misc]simplify: iters left: 3 (12 enodes) 1554304280.297 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.297 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304280.297 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304280.297 * * [misc]simplify: Extracting #3: cost 7 inf + 0 1554304280.297 * * [misc]simplify: Extracting #4: cost 6 inf + 1 1554304280.297 * * [misc]simplify: Extracting #5: cost 0 inf + 647 1554304280.297 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554304280.297 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304280.297 * * * * [misc]progress: [ 74 / 132 ] simplifiying candidate # 1554304280.297 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554304280.297 * * [misc]simplify: iters left: 2 (3 enodes) 1554304280.298 * * [misc]simplify: iters left: 1 (9 enodes) 1554304280.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.299 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304280.299 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304280.299 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554304280.299 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554304280.299 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554304280.299 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304280.299 * * * * [misc]progress: [ 75 / 132 ] simplifiying candidate # 1554304280.299 * * * * [misc]progress: [ 76 / 132 ] simplifiying candidate # 1554304280.300 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554304280.300 * * [misc]simplify: iters left: 5 (8 enodes) 1554304280.302 * * [misc]simplify: iters left: 4 (28 enodes) 1554304280.307 * * [misc]simplify: iters left: 3 (36 enodes) 1554304280.312 * * [misc]simplify: iters left: 2 (41 enodes) 1554304280.322 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.323 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.323 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304280.323 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304280.323 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554304280.323 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554304280.323 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554304280.323 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2))))) 1554304280.323 * * * * [misc]progress: [ 77 / 132 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))> 1554304280.324 * * * * [misc]progress: [ 78 / 132 ] simplifiying candidate # 1554304280.324 * * * * [misc]progress: [ 79 / 132 ] simplifiying candidate # 1554304280.324 * * * * [misc]progress: [ 80 / 132 ] simplifiying candidate # 1554304280.324 * * * * [misc]progress: [ 81 / 132 ] simplifiying candidate # 1554304280.324 * [enter]simplify: Simplifying (- 1) 1554304280.324 * * [misc]simplify: iters left: 2 (2 enodes) 1554304280.326 * * [misc]simplify: iters left: 1 (9 enodes) 1554304280.327 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.327 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304280.327 * [exit]simplify: Simplified to -1 1554304280.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1)) 1554304280.327 * * * * [misc]progress: [ 82 / 132 ] simplifiying candidate # 1554304280.327 * * * * [misc]progress: [ 83 / 132 ] simplifiying candidate # 1554304280.327 * * * * [misc]progress: [ 84 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 85 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 86 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 87 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 88 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 89 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 90 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 91 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 92 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 93 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 94 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 95 / 132 ] simplifiying candidate # 1554304280.328 * * * * [misc]progress: [ 96 / 132 ] simplifiying candidate # 1554304280.328 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.328 * * [misc]simplify: iters left: 6 (13 enodes) 1554304280.331 * * [misc]simplify: iters left: 5 (45 enodes) 1554304280.338 * * [misc]simplify: iters left: 4 (58 enodes) 1554304280.347 * * [misc]simplify: iters left: 3 (65 enodes) 1554304280.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.357 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304280.357 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304280.357 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554304280.357 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1554304280.357 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304280.357 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554304280.358 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554304280.359 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554304280.360 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554304280.360 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1554304280.360 * * * * [misc]progress: [ 97 / 132 ] simplifiying candidate # 1554304280.361 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.361 * * [misc]simplify: iters left: 6 (13 enodes) 1554304280.367 * * [misc]simplify: iters left: 5 (45 enodes) 1554304280.381 * * [misc]simplify: iters left: 4 (58 enodes) 1554304280.397 * * [misc]simplify: iters left: 3 (65 enodes) 1554304280.406 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.406 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304280.406 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304280.406 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554304280.406 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1554304280.406 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304280.406 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554304280.407 * * [misc]simplify: Extracting #7: cost 1 inf + 3156 1554304280.407 * * [misc]simplify: Extracting #8: cost 0 inf + 3651 1554304280.408 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554304280.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1554304280.408 * * * * [misc]progress: [ 98 / 132 ] simplifiying candidate # 1554304280.408 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304280.408 * * [misc]simplify: iters left: 6 (12 enodes) 1554304280.413 * * [misc]simplify: iters left: 5 (42 enodes) 1554304280.420 * * [misc]simplify: iters left: 4 (52 enodes) 1554304280.434 * * [misc]simplify: iters left: 3 (57 enodes) 1554304280.449 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.449 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.449 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.449 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304280.450 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304280.450 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304280.451 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554304280.451 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554304280.452 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304280.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))) 1554304280.452 * * * * [misc]progress: [ 99 / 132 ] simplifiying candidate # 1554304280.453 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304280.453 * * [misc]simplify: iters left: 6 (12 enodes) 1554304280.458 * * [misc]simplify: iters left: 5 (42 enodes) 1554304280.470 * * [misc]simplify: iters left: 4 (52 enodes) 1554304280.484 * * [misc]simplify: iters left: 3 (57 enodes) 1554304280.491 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.492 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.492 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.492 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304280.492 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304280.492 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304280.492 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554304280.493 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554304280.493 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304280.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))) 1554304280.493 * * * * [misc]progress: [ 100 / 132 ] simplifiying candidate # 1554304280.493 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304280.493 * * [misc]simplify: iters left: 6 (10 enodes) 1554304280.496 * * [misc]simplify: iters left: 5 (32 enodes) 1554304280.501 * * [misc]simplify: iters left: 4 (37 enodes) 1554304280.507 * * [misc]simplify: iters left: 3 (39 enodes) 1554304280.512 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.513 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.513 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.513 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304280.513 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304280.513 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304280.513 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554304280.513 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554304280.513 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304280.513 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1554304280.514 * * * * [misc]progress: [ 101 / 132 ] simplifiying candidate # 1554304280.514 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.514 * * [misc]simplify: iters left: 6 (14 enodes) 1554304280.518 * * [misc]simplify: iters left: 5 (48 enodes) 1554304280.534 * * [misc]simplify: iters left: 4 (61 enodes) 1554304280.552 * * [misc]simplify: iters left: 3 (68 enodes) 1554304280.569 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.569 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.569 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304280.569 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304280.570 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304280.570 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304280.571 * * [misc]simplify: Extracting #6: cost 4 inf + 3019 1554304280.572 * * [misc]simplify: Extracting #7: cost 0 inf + 4133 1554304280.573 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304280.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1554304280.573 * * * * [misc]progress: [ 102 / 132 ] simplifiying candidate # 1554304280.574 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.574 * * [misc]simplify: iters left: 6 (14 enodes) 1554304280.580 * * [misc]simplify: iters left: 5 (48 enodes) 1554304280.595 * * [misc]simplify: iters left: 4 (61 enodes) 1554304280.613 * * [misc]simplify: iters left: 3 (68 enodes) 1554304280.630 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.630 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.630 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304280.631 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304280.631 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304280.631 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304280.631 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554304280.632 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554304280.633 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304280.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1554304280.633 * * * * [misc]progress: [ 103 / 132 ] simplifiying candidate # 1554304280.633 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.634 * * [misc]simplify: iters left: 6 (13 enodes) 1554304280.637 * * [misc]simplify: iters left: 5 (45 enodes) 1554304280.644 * * [misc]simplify: iters left: 4 (58 enodes) 1554304280.652 * * [misc]simplify: iters left: 3 (65 enodes) 1554304280.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.662 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.662 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.663 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304280.663 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554304280.663 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554304280.664 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1554304280.665 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1554304280.665 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554304280.665 * * * * [misc]progress: [ 104 / 132 ] simplifiying candidate # 1554304280.666 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304280.666 * * [misc]simplify: iters left: 6 (12 enodes) 1554304280.669 * * [misc]simplify: iters left: 5 (42 enodes) 1554304280.675 * * [misc]simplify: iters left: 4 (52 enodes) 1554304280.682 * * [misc]simplify: iters left: 3 (57 enodes) 1554304280.689 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.689 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.689 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.689 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304280.689 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304280.689 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304280.690 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554304280.690 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554304280.690 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304280.690 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))) 1554304280.691 * * * * [misc]progress: [ 105 / 132 ] simplifiying candidate # 1554304280.691 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304280.691 * * [misc]simplify: iters left: 6 (12 enodes) 1554304280.694 * * [misc]simplify: iters left: 5 (42 enodes) 1554304280.707 * * [misc]simplify: iters left: 4 (52 enodes) 1554304280.721 * * [misc]simplify: iters left: 3 (57 enodes) 1554304280.728 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.728 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.729 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.729 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554304280.729 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554304280.729 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554304280.729 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554304280.730 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554304280.730 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554304280.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))) 1554304280.730 * * * * [misc]progress: [ 106 / 132 ] simplifiying candidate # 1554304280.730 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304280.730 * * [misc]simplify: iters left: 6 (10 enodes) 1554304280.733 * * [misc]simplify: iters left: 5 (32 enodes) 1554304280.738 * * [misc]simplify: iters left: 4 (37 enodes) 1554304280.743 * * [misc]simplify: iters left: 3 (39 enodes) 1554304280.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.749 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.749 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.749 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304280.749 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304280.749 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304280.752 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554304280.752 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304280.753 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304280.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1554304280.753 * * * * [misc]progress: [ 107 / 132 ] simplifiying candidate # 1554304280.753 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.753 * * [misc]simplify: iters left: 6 (14 enodes) 1554304280.760 * * [misc]simplify: iters left: 5 (48 enodes) 1554304280.772 * * [misc]simplify: iters left: 4 (61 enodes) 1554304280.780 * * [misc]simplify: iters left: 3 (68 enodes) 1554304280.789 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.789 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.789 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304280.789 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304280.790 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304280.790 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304280.790 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554304280.791 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554304280.791 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304280.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1554304280.791 * * * * [misc]progress: [ 108 / 132 ] simplifiying candidate # 1554304280.791 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304280.791 * * [misc]simplify: iters left: 6 (14 enodes) 1554304280.795 * * [misc]simplify: iters left: 5 (48 enodes) 1554304280.802 * * [misc]simplify: iters left: 4 (61 enodes) 1554304280.811 * * [misc]simplify: iters left: 3 (68 enodes) 1554304280.826 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.826 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.826 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304280.826 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304280.826 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554304280.827 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554304280.827 * * [misc]simplify: Extracting #6: cost 4 inf + 2779 1554304280.828 * * [misc]simplify: Extracting #7: cost 0 inf + 3813 1554304280.830 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554304280.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1554304280.830 * * * * [misc]progress: [ 109 / 132 ] simplifiying candidate # 1554304280.830 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.830 * * [misc]simplify: iters left: 6 (13 enodes) 1554304280.837 * * [misc]simplify: iters left: 5 (45 enodes) 1554304280.850 * * [misc]simplify: iters left: 4 (58 enodes) 1554304280.868 * * [misc]simplify: iters left: 3 (65 enodes) 1554304280.885 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.885 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.885 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.885 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554304280.886 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554304280.886 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554304280.887 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1554304280.888 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1554304280.888 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304280.888 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554304280.889 * * * * [misc]progress: [ 110 / 132 ] simplifiying candidate # 1554304280.889 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304280.889 * * [misc]simplify: iters left: 6 (11 enodes) 1554304280.894 * * [misc]simplify: iters left: 5 (39 enodes) 1554304280.906 * * [misc]simplify: iters left: 4 (49 enodes) 1554304280.920 * * [misc]simplify: iters left: 3 (55 enodes) 1554304280.933 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.933 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.933 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.933 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304280.933 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554304280.934 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554304280.935 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554304280.935 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554304280.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1554304280.935 * * * * [misc]progress: [ 111 / 132 ] simplifiying candidate # 1554304280.936 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554304280.936 * * [misc]simplify: iters left: 6 (11 enodes) 1554304280.941 * * [misc]simplify: iters left: 5 (39 enodes) 1554304280.952 * * [misc]simplify: iters left: 4 (49 enodes) 1554304280.966 * * [misc]simplify: iters left: 3 (55 enodes) 1554304280.980 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304280.980 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304280.980 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304280.980 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304280.980 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554304280.980 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554304280.981 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554304280.982 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554304280.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1554304280.982 * * * * [misc]progress: [ 112 / 132 ] simplifiying candidate # 1554304280.982 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304280.982 * * [misc]simplify: iters left: 6 (9 enodes) 1554304280.987 * * [misc]simplify: iters left: 5 (29 enodes) 1554304280.996 * * [misc]simplify: iters left: 4 (34 enodes) 1554304281.006 * * [misc]simplify: iters left: 3 (36 enodes) 1554304281.018 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.018 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.018 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304281.018 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304281.018 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304281.019 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554304281.019 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554304281.019 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554304281.020 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304281.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304281.020 * * * * [misc]progress: [ 113 / 132 ] simplifiying candidate # 1554304281.021 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304281.021 * * [misc]simplify: iters left: 6 (13 enodes) 1554304281.027 * * [misc]simplify: iters left: 5 (45 enodes) 1554304281.041 * * [misc]simplify: iters left: 4 (58 enodes) 1554304281.059 * * [misc]simplify: iters left: 3 (65 enodes) 1554304281.076 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.076 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.076 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304281.076 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304281.076 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554304281.076 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554304281.076 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554304281.077 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554304281.078 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554304281.079 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554304281.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1554304281.079 * * * * [misc]progress: [ 114 / 132 ] simplifiying candidate # 1554304281.080 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304281.080 * * [misc]simplify: iters left: 6 (13 enodes) 1554304281.086 * * [misc]simplify: iters left: 5 (45 enodes) 1554304281.092 * * [misc]simplify: iters left: 4 (58 enodes) 1554304281.101 * * [misc]simplify: iters left: 3 (65 enodes) 1554304281.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.109 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.109 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304281.109 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304281.110 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554304281.110 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554304281.110 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554304281.110 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1554304281.111 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1554304281.111 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554304281.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1554304281.111 * * * * [misc]progress: [ 115 / 132 ] simplifiying candidate # 1554304281.112 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304281.112 * * [misc]simplify: iters left: 6 (12 enodes) 1554304281.115 * * [misc]simplify: iters left: 5 (42 enodes) 1554304281.122 * * [misc]simplify: iters left: 4 (55 enodes) 1554304281.132 * * [misc]simplify: iters left: 3 (62 enodes) 1554304281.148 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.148 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.148 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304281.148 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554304281.148 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554304281.148 * * [misc]simplify: Extracting #5: cost 12 inf + 504 1554304281.149 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554304281.150 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554304281.151 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1554304281.151 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1554304281.151 * * * * [misc]progress: [ 116 / 132 ] simplifiying candidate # 1554304281.152 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304281.152 * * [misc]simplify: iters left: 6 (12 enodes) 1554304281.158 * * [misc]simplify: iters left: 5 (42 enodes) 1554304281.170 * * [misc]simplify: iters left: 4 (55 enodes) 1554304281.185 * * [misc]simplify: iters left: 3 (62 enodes) 1554304281.202 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.202 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.202 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304281.202 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554304281.202 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554304281.202 * * [misc]simplify: Extracting #5: cost 12 inf + 504 1554304281.203 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554304281.204 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554304281.204 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1554304281.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1554304281.205 * * * * [misc]progress: [ 117 / 132 ] simplifiying candidate # 1554304281.205 * [enter]simplify: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554304281.205 * * [misc]simplify: iters left: 6 (12 enodes) 1554304281.212 * * [misc]simplify: iters left: 5 (44 enodes) 1554304281.225 * * [misc]simplify: iters left: 4 (59 enodes) 1554304281.242 * * [misc]simplify: iters left: 3 (66 enodes) 1554304281.261 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.261 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.261 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304281.261 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304281.261 * * [misc]simplify: Extracting #4: cost 15 inf + 297 1554304281.261 * * [misc]simplify: Extracting #5: cost 8 inf + 673 1554304281.262 * * [misc]simplify: Extracting #6: cost 1 inf + 2127 1554304281.263 * * [misc]simplify: Extracting #7: cost 0 inf + 2502 1554304281.264 * [exit]simplify: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) 1554304281.264 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))))) 1554304281.264 * * * * [misc]progress: [ 118 / 132 ] simplifiying candidate # 1554304281.264 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554304281.264 * * [misc]simplify: iters left: 5 (8 enodes) 1554304281.269 * * [misc]simplify: iters left: 4 (28 enodes) 1554304281.278 * * [misc]simplify: iters left: 3 (36 enodes) 1554304281.289 * * [misc]simplify: iters left: 2 (41 enodes) 1554304281.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.299 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.299 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304281.299 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304281.299 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554304281.300 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554304281.300 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554304281.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2)))) 1554304281.301 * * * * [misc]progress: [ 119 / 132 ] simplifiying candidate # 1554304281.301 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554304281.302 * * [misc]simplify: iters left: 5 (10 enodes) 1554304281.308 * * [misc]simplify: iters left: 4 (36 enodes) 1554304281.319 * * [misc]simplify: iters left: 3 (49 enodes) 1554304281.333 * * [misc]simplify: iters left: 2 (56 enodes) 1554304281.348 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.348 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304281.348 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304281.348 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1554304281.348 * * [misc]simplify: Extracting #4: cost 7 inf + 630 1554304281.349 * * [misc]simplify: Extracting #5: cost 0 inf + 1669 1554304281.350 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554304281.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554304281.350 * * * * [misc]progress: [ 120 / 132 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))> 1554304281.350 * * * * [misc]progress: [ 121 / 132 ] simplifiying candidate # 1554304281.350 * [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))))) 1554304281.351 * * [misc]simplify: iters left: 6 (37 enodes) 1554304281.370 * * [misc]simplify: iters left: 5 (182 enodes) 1554304281.415 * * [misc]simplify: iters left: 4 (487 enodes) 1554304281.645 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304281.645 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554304281.646 * * [misc]simplify: Extracting #2: cost 339 inf + 3 1554304281.648 * * [misc]simplify: Extracting #3: cost 496 inf + 559 1554304281.656 * * [misc]simplify: Extracting #4: cost 330 inf + 53115 1554304281.727 * * [misc]simplify: Extracting #5: cost 70 inf + 174349 1554304281.808 * * [misc]simplify: Extracting #6: cost 0 inf + 222643 1554304281.883 * * [misc]simplify: Extracting #7: cost 0 inf + 219647 1554304281.976 * * [misc]simplify: Extracting #8: cost 0 inf + 219582 1554304282.060 * [exit]simplify: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) 1554304282.060 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))))) 1554304282.060 * * * * [misc]progress: [ 122 / 132 ] simplifiying candidate # 1554304282.060 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1554304282.060 * * [misc]simplify: iters left: 6 (15 enodes) 1554304282.066 * * [misc]simplify: iters left: 5 (63 enodes) 1554304282.087 * * [misc]simplify: iters left: 4 (108 enodes) 1554304282.132 * * [misc]simplify: iters left: 3 (268 enodes) 1554304282.227 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304282.227 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304282.227 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1554304282.228 * * [misc]simplify: Extracting #3: cost 211 inf + 668 1554304282.230 * * [misc]simplify: Extracting #4: cost 149 inf + 9715 1554304282.236 * * [misc]simplify: Extracting #5: cost 42 inf + 34460 1554304282.245 * * [misc]simplify: Extracting #6: cost 0 inf + 46240 1554304282.260 * * [misc]simplify: Extracting #7: cost 0 inf + 45870 1554304282.272 * [exit]simplify: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2)) 1554304282.272 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 PI) n) (fma k -1/2 1/2))))) 1554304282.272 * * * * [misc]progress: [ 123 / 132 ] simplifiying candidate # 1554304282.272 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1554304282.272 * * [misc]simplify: iters left: 6 (15 enodes) 1554304282.279 * * [misc]simplify: iters left: 5 (60 enodes) 1554304282.290 * * [misc]simplify: iters left: 4 (111 enodes) 1554304282.315 * * [misc]simplify: iters left: 3 (302 enodes) 1554304282.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304282.490 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304282.490 * * [misc]simplify: Extracting #2: cost 144 inf + 0 1554304282.491 * * [misc]simplify: Extracting #3: cost 312 inf + 558 1554304282.493 * * [misc]simplify: Extracting #4: cost 279 inf + 4663 1554304282.501 * * [misc]simplify: Extracting #5: cost 100 inf + 51858 1554304282.516 * * [misc]simplify: Extracting #6: cost 2 inf + 80601 1554304282.539 * * [misc]simplify: Extracting #7: cost 0 inf + 76621 1554304282.554 * * [misc]simplify: Extracting #8: cost 0 inf + 76306 1554304282.576 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) 1554304282.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))))) 1554304282.576 * * * * [misc]progress: [ 124 / 132 ] simplifiying candidate # 1554304282.576 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554304282.576 * * [misc]simplify: iters left: 4 (5 enodes) 1554304282.578 * * [misc]simplify: iters left: 3 (19 enodes) 1554304282.581 * * [misc]simplify: iters left: 2 (27 enodes) 1554304282.585 * * [misc]simplify: iters left: 1 (32 enodes) 1554304282.588 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304282.588 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304282.589 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304282.589 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304282.589 * [exit]simplify: Simplified to (* (* PI n) 2) 1554304282.589 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554304282.589 * * * * [misc]progress: [ 125 / 132 ] simplifiying candidate # 1554304282.589 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554304282.589 * * [misc]simplify: iters left: 4 (5 enodes) 1554304282.591 * * [misc]simplify: iters left: 3 (19 enodes) 1554304282.593 * * [misc]simplify: iters left: 2 (27 enodes) 1554304282.597 * * [misc]simplify: iters left: 1 (32 enodes) 1554304282.601 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304282.601 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304282.601 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304282.601 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304282.602 * [exit]simplify: Simplified to (* (* PI n) 2) 1554304282.602 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554304282.602 * * * * [misc]progress: [ 126 / 132 ] simplifiying candidate # 1554304282.602 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554304282.602 * * [misc]simplify: iters left: 4 (5 enodes) 1554304282.603 * * [misc]simplify: iters left: 3 (19 enodes) 1554304282.607 * * [misc]simplify: iters left: 2 (27 enodes) 1554304282.615 * * [misc]simplify: iters left: 1 (32 enodes) 1554304282.624 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304282.624 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304282.624 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554304282.624 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554304282.624 * [exit]simplify: Simplified to (* (* PI n) 2) 1554304282.624 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554304282.625 * * * * [misc]progress: [ 127 / 132 ] simplifiying candidate # 1554304282.625 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1554304282.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1554304282.625 * * * * [misc]progress: [ 128 / 132 ] simplifiying candidate # 1554304282.626 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1554304282.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1554304282.626 * * * * [misc]progress: [ 129 / 132 ] simplifiying candidate # 1554304282.626 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1554304282.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1554304282.626 * * * * [misc]progress: [ 130 / 132 ] simplifiying candidate # 1554304282.627 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1554304282.627 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304282.627 * * * * [misc]progress: [ 131 / 132 ] simplifiying candidate # 1554304282.627 * [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)))))))) 1554304282.627 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304282.628 * * * * [misc]progress: [ 132 / 132 ] simplifiying candidate # 1554304282.628 * [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))))))))))) 1554304282.628 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304282.628 * * * [misc]progress: adding candidates to table 1554304284.049 * * [misc]progress: iteration 3 / 4 1554304284.049 * * * [misc]progress: picking best candidate 1554304284.086 * * * * [misc]pick: Picked # 1554304284.086 * * * [misc]progress: localizing error 1554304284.110 * * * [misc]progress: generating rewritten candidates 1554304284.110 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1554304284.112 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1554304284.115 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1554304284.123 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1554304284.135 * * * [misc]progress: generating series expansions 1554304284.135 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1554304284.136 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1554304284.136 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1554304284.136 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304284.136 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304284.136 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304284.136 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.136 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.136 * [misc]taylor: Taking taylor expansion of k in k 1554304284.136 * [misc]backup-simplify: Simplify 0 into 0 1554304284.136 * [misc]backup-simplify: Simplify 1 into 1 1554304284.136 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.136 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.136 * [misc]backup-simplify: Simplify PI into PI 1554304284.136 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.136 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.137 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.137 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.137 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.137 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304284.138 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304284.138 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304284.138 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304284.138 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.138 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.138 * [misc]taylor: Taking taylor expansion of k in k 1554304284.138 * [misc]backup-simplify: Simplify 0 into 0 1554304284.138 * [misc]backup-simplify: Simplify 1 into 1 1554304284.138 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.138 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.138 * [misc]backup-simplify: Simplify PI into PI 1554304284.138 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.138 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.138 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.138 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.138 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.139 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304284.139 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1554304284.141 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304284.141 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304284.141 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.141 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554304284.143 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304284.144 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304284.146 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304284.147 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.147 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.147 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.148 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554304284.154 * [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))) 1554304284.155 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1554304284.157 * [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)))) 1554304284.158 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.158 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1554304284.158 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of k in k 1554304284.158 * [misc]backup-simplify: Simplify 0 into 0 1554304284.158 * [misc]backup-simplify: Simplify 1 into 1 1554304284.158 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.158 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.158 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.158 * [misc]backup-simplify: Simplify PI into PI 1554304284.159 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.159 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.159 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.159 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.160 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304284.160 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.160 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.160 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304284.160 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304284.160 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.160 * [misc]taylor: Taking taylor expansion of k in k 1554304284.160 * [misc]backup-simplify: Simplify 0 into 0 1554304284.160 * [misc]backup-simplify: Simplify 1 into 1 1554304284.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.160 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.161 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.161 * [misc]backup-simplify: Simplify PI into PI 1554304284.161 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.161 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.161 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.161 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.162 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304284.162 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.162 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.162 * [misc]backup-simplify: Simplify 0 into 0 1554304284.162 * [misc]backup-simplify: Simplify 0 into 0 1554304284.162 * [misc]backup-simplify: Simplify 0 into 0 1554304284.162 * [misc]backup-simplify: Simplify 0 into 0 1554304284.163 * [misc]backup-simplify: Simplify 0 into 0 1554304284.163 * [misc]backup-simplify: Simplify 0 into 0 1554304284.163 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1554304284.163 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.163 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1554304284.163 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.163 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304284.163 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304284.163 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.163 * [misc]taylor: Taking taylor expansion of k in k 1554304284.163 * [misc]backup-simplify: Simplify 0 into 0 1554304284.163 * [misc]backup-simplify: Simplify 1 into 1 1554304284.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.163 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.164 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.164 * [misc]backup-simplify: Simplify PI into PI 1554304284.164 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.164 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.164 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.165 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.165 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.165 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304284.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304284.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.165 * [misc]taylor: Taking taylor expansion of k in k 1554304284.165 * [misc]backup-simplify: Simplify 0 into 0 1554304284.165 * [misc]backup-simplify: Simplify 1 into 1 1554304284.166 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.166 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.166 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.166 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.166 * [misc]backup-simplify: Simplify PI into PI 1554304284.166 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.166 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.166 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.167 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.167 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.167 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.167 * [misc]backup-simplify: Simplify 0 into 0 1554304284.167 * [misc]backup-simplify: Simplify 0 into 0 1554304284.167 * [misc]backup-simplify: Simplify 0 into 0 1554304284.167 * [misc]backup-simplify: Simplify 0 into 0 1554304284.167 * [misc]backup-simplify: Simplify 0 into 0 1554304284.167 * [misc]backup-simplify: Simplify 0 into 0 1554304284.168 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1554304284.168 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1554304284.168 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1554304284.168 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1554304284.168 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.168 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.168 * [misc]taylor: Taking taylor expansion of k in k 1554304284.168 * [misc]backup-simplify: Simplify 0 into 0 1554304284.168 * [misc]backup-simplify: Simplify 1 into 1 1554304284.168 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554304284.168 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.168 * [misc]backup-simplify: Simplify 2 into 2 1554304284.168 * [misc]taylor: Taking taylor expansion of n in k 1554304284.168 * [misc]backup-simplify: Simplify n into n 1554304284.168 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554304284.169 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554304284.169 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.169 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.169 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.169 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554304284.169 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554304284.169 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304284.169 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304284.169 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304284.169 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304284.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.169 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304284.169 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.170 * [misc]taylor: Taking taylor expansion of k in n 1554304284.170 * [misc]backup-simplify: Simplify k into k 1554304284.170 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304284.170 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304284.170 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.170 * [misc]backup-simplify: Simplify 2 into 2 1554304284.170 * [misc]taylor: Taking taylor expansion of n in n 1554304284.170 * [misc]backup-simplify: Simplify 0 into 0 1554304284.170 * [misc]backup-simplify: Simplify 1 into 1 1554304284.170 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304284.170 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304284.170 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.170 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304284.170 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304284.170 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304284.171 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.171 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304284.171 * [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)))) 1554304284.171 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304284.171 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304284.171 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304284.172 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304284.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.172 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304284.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.172 * [misc]taylor: Taking taylor expansion of k in n 1554304284.172 * [misc]backup-simplify: Simplify k into k 1554304284.172 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304284.172 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304284.172 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.172 * [misc]backup-simplify: Simplify 2 into 2 1554304284.172 * [misc]taylor: Taking taylor expansion of n in n 1554304284.172 * [misc]backup-simplify: Simplify 0 into 0 1554304284.172 * [misc]backup-simplify: Simplify 1 into 1 1554304284.172 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304284.172 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304284.172 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.172 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304284.173 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304284.173 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304284.173 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.173 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304284.174 * [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)))) 1554304284.174 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.174 * [misc]backup-simplify: Simplify 2 into 2 1554304284.174 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.174 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of n in k 1554304284.174 * [misc]backup-simplify: Simplify n into n 1554304284.174 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304284.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.174 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.174 * [misc]taylor: Taking taylor expansion of k in k 1554304284.174 * [misc]backup-simplify: Simplify 0 into 0 1554304284.174 * [misc]backup-simplify: Simplify 1 into 1 1554304284.175 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554304284.175 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.175 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.175 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.175 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554304284.175 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304284.176 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304284.176 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.179 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304284.179 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304284.179 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.180 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.180 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.180 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554304284.181 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.181 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.181 * [misc]backup-simplify: Simplify 0 into 0 1554304284.182 * [misc]backup-simplify: Simplify 0 into 0 1554304284.182 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304284.182 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.182 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.184 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304284.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304284.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.186 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554304284.187 * [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))))) 1554304284.188 * [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))))) 1554304284.188 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304284.193 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304284.193 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304284.193 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.193 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.194 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.194 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554304284.196 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304284.196 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.196 * [misc]backup-simplify: Simplify 0 into 0 1554304284.196 * [misc]backup-simplify: Simplify 0 into 0 1554304284.196 * [misc]backup-simplify: Simplify 0 into 0 1554304284.197 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.197 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.197 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.202 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304284.203 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304284.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.204 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554304284.205 * [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))))) 1554304284.207 * [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))))) 1554304284.209 * [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))))) 1554304284.210 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.210 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554304284.210 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.210 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of k in k 1554304284.210 * [misc]backup-simplify: Simplify 0 into 0 1554304284.210 * [misc]backup-simplify: Simplify 1 into 1 1554304284.210 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.210 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554304284.210 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.211 * [misc]backup-simplify: Simplify 2 into 2 1554304284.211 * [misc]taylor: Taking taylor expansion of n in k 1554304284.211 * [misc]backup-simplify: Simplify n into n 1554304284.211 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554304284.211 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554304284.211 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.211 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.211 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.211 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554304284.211 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.211 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.212 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.212 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of k in n 1554304284.212 * [misc]backup-simplify: Simplify k into k 1554304284.212 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.212 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304284.212 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.212 * [misc]backup-simplify: Simplify 2 into 2 1554304284.212 * [misc]taylor: Taking taylor expansion of n in n 1554304284.212 * [misc]backup-simplify: Simplify 0 into 0 1554304284.212 * [misc]backup-simplify: Simplify 1 into 1 1554304284.212 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304284.212 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.212 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.213 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304284.213 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304284.213 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.213 * [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))) 1554304284.214 * [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)))) 1554304284.214 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.214 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of k in n 1554304284.214 * [misc]backup-simplify: Simplify k into k 1554304284.214 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.214 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304284.214 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.214 * [misc]backup-simplify: Simplify 2 into 2 1554304284.214 * [misc]taylor: Taking taylor expansion of n in n 1554304284.214 * [misc]backup-simplify: Simplify 0 into 0 1554304284.214 * [misc]backup-simplify: Simplify 1 into 1 1554304284.214 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304284.215 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.215 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.215 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304284.215 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304284.215 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.216 * [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))) 1554304284.216 * [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)))) 1554304284.216 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554304284.216 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554304284.216 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.216 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.216 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.216 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.216 * [misc]taylor: Taking taylor expansion of k in k 1554304284.216 * [misc]backup-simplify: Simplify 0 into 0 1554304284.216 * [misc]backup-simplify: Simplify 1 into 1 1554304284.216 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.216 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554304284.217 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304284.217 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.217 * [misc]backup-simplify: Simplify 2 into 2 1554304284.217 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.217 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304284.217 * [misc]taylor: Taking taylor expansion of n in k 1554304284.217 * [misc]backup-simplify: Simplify n into n 1554304284.217 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304284.217 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.217 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.217 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.217 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304284.218 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554304284.218 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554304284.218 * [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)))) 1554304284.219 * [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)))) 1554304284.219 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554304284.221 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304284.221 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304284.221 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.222 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.222 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554304284.223 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.223 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.223 * [misc]backup-simplify: Simplify 0 into 0 1554304284.223 * [misc]backup-simplify: Simplify 0 into 0 1554304284.223 * [misc]backup-simplify: Simplify 0 into 0 1554304284.223 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.226 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304284.226 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.226 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304284.226 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.226 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.227 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554304284.228 * [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 1554304284.228 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.228 * [misc]backup-simplify: Simplify 0 into 0 1554304284.228 * [misc]backup-simplify: Simplify 0 into 0 1554304284.228 * [misc]backup-simplify: Simplify 0 into 0 1554304284.228 * [misc]backup-simplify: Simplify 0 into 0 1554304284.229 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.233 * [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 1554304284.233 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304284.233 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.233 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.234 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.234 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554304284.236 * [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 1554304284.236 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.236 * [misc]backup-simplify: Simplify 0 into 0 1554304284.236 * [misc]backup-simplify: Simplify 0 into 0 1554304284.237 * [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)))) 1554304284.237 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.237 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554304284.237 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of k in k 1554304284.237 * [misc]backup-simplify: Simplify 0 into 0 1554304284.237 * [misc]backup-simplify: Simplify 1 into 1 1554304284.237 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.237 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554304284.237 * [misc]taylor: Taking taylor expansion of -2 in k 1554304284.237 * [misc]backup-simplify: Simplify -2 into -2 1554304284.237 * [misc]taylor: Taking taylor expansion of n in k 1554304284.237 * [misc]backup-simplify: Simplify n into n 1554304284.237 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554304284.237 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554304284.237 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.237 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.238 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554304284.238 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.238 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of k in n 1554304284.238 * [misc]backup-simplify: Simplify k into k 1554304284.238 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.238 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304284.238 * [misc]taylor: Taking taylor expansion of -2 in n 1554304284.238 * [misc]backup-simplify: Simplify -2 into -2 1554304284.238 * [misc]taylor: Taking taylor expansion of n in n 1554304284.238 * [misc]backup-simplify: Simplify 0 into 0 1554304284.238 * [misc]backup-simplify: Simplify 1 into 1 1554304284.238 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304284.238 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304284.238 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.238 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304284.239 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.239 * [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))) 1554304284.239 * [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)))) 1554304284.239 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of k in n 1554304284.239 * [misc]backup-simplify: Simplify k into k 1554304284.239 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.239 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304284.239 * [misc]taylor: Taking taylor expansion of -2 in n 1554304284.239 * [misc]backup-simplify: Simplify -2 into -2 1554304284.239 * [misc]taylor: Taking taylor expansion of n in n 1554304284.239 * [misc]backup-simplify: Simplify 0 into 0 1554304284.239 * [misc]backup-simplify: Simplify 1 into 1 1554304284.239 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304284.239 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304284.240 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.240 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304284.240 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.240 * [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))) 1554304284.240 * [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)))) 1554304284.240 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554304284.240 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554304284.240 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.240 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.240 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.240 * [misc]taylor: Taking taylor expansion of k in k 1554304284.240 * [misc]backup-simplify: Simplify 0 into 0 1554304284.240 * [misc]backup-simplify: Simplify 1 into 1 1554304284.241 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.241 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.241 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554304284.241 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554304284.241 * [misc]taylor: Taking taylor expansion of -2 in k 1554304284.241 * [misc]backup-simplify: Simplify -2 into -2 1554304284.241 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304284.241 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304284.241 * [misc]taylor: Taking taylor expansion of n in k 1554304284.241 * [misc]backup-simplify: Simplify n into n 1554304284.241 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304284.241 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.241 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.241 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304284.241 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554304284.241 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554304284.242 * [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)))) 1554304284.242 * [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)))) 1554304284.242 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554304284.243 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554304284.244 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304284.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.244 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.244 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554304284.245 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.245 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.245 * [misc]backup-simplify: Simplify 0 into 0 1554304284.245 * [misc]backup-simplify: Simplify 0 into 0 1554304284.245 * [misc]backup-simplify: Simplify 0 into 0 1554304284.245 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.248 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554304284.248 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.248 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304284.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.249 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.249 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554304284.251 * [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 1554304284.251 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.251 * [misc]backup-simplify: Simplify 0 into 0 1554304284.251 * [misc]backup-simplify: Simplify 0 into 0 1554304284.251 * [misc]backup-simplify: Simplify 0 into 0 1554304284.251 * [misc]backup-simplify: Simplify 0 into 0 1554304284.251 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.259 * [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 1554304284.259 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.259 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304284.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.260 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.261 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1554304284.264 * [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 1554304284.264 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.264 * [misc]backup-simplify: Simplify 0 into 0 1554304284.264 * [misc]backup-simplify: Simplify 0 into 0 1554304284.265 * [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))))) 1554304284.265 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1554304284.265 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) 1554304284.265 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1554304284.265 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.265 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.265 * [misc]taylor: Taking taylor expansion of k in k 1554304284.265 * [misc]backup-simplify: Simplify 0 into 0 1554304284.265 * [misc]backup-simplify: Simplify 1 into 1 1554304284.265 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.265 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.265 * [misc]backup-simplify: Simplify PI into PI 1554304284.266 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.266 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.266 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.266 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.267 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.268 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304284.268 * [misc]backup-simplify: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI)) 1554304284.268 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304284.268 * [misc]taylor: Taking taylor expansion of k in k 1554304284.268 * [misc]backup-simplify: Simplify 0 into 0 1554304284.268 * [misc]backup-simplify: Simplify 1 into 1 1554304284.268 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.269 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.269 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.269 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.269 * [misc]taylor: Taking taylor expansion of k in k 1554304284.269 * [misc]backup-simplify: Simplify 0 into 0 1554304284.269 * [misc]backup-simplify: Simplify 1 into 1 1554304284.269 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.269 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.269 * [misc]backup-simplify: Simplify PI into PI 1554304284.269 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.270 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.270 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.270 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.270 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.271 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304284.272 * [misc]backup-simplify: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI)) 1554304284.272 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304284.272 * [misc]taylor: Taking taylor expansion of k in k 1554304284.272 * [misc]backup-simplify: Simplify 0 into 0 1554304284.272 * [misc]backup-simplify: Simplify 1 into 1 1554304284.272 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.272 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.273 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 PI)) 0) into 0 1554304284.273 * [misc]backup-simplify: Simplify 0 into 0 1554304284.275 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304284.276 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304284.276 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.276 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.277 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554304284.281 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304284.284 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) 1554304284.286 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (sqrt (/ 1 PI)))) 1554304284.287 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI)))) 1554304284.287 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304284.290 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304284.290 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.291 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554304284.294 * [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))) 1554304284.300 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) 1554304284.303 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) 0))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) 1554304284.305 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) into (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) 1554304284.306 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304284.310 * [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 1554304284.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304284.310 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.312 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304284.317 * [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))) 1554304284.332 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 PI)) (/ (* -1/48 (* (pow (log PI) 3) (sqrt PI))) (pow PI 1/2))) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow PI 1/2))) (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (/ (* -1/2 (* (log PI) (sqrt PI))) (pow PI 1/2))))) into (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI)))) 1554304284.341 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (+ (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) +nan.0) (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) +nan.0) (* (* 1/48 (* (pow (log PI) 3) (sqrt (/ 1 PI)))) 0)))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) 1554304284.347 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) 1554304284.354 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt (/ 1 PI)))) (- (* +nan.0 (sqrt (/ 1 PI)))))) (pow k 2)) (* (- (* +nan.0 (sqrt (/ 1 PI)))) k))) into (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2)))))))))))))) 1554304284.354 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1554304284.354 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1554304284.354 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.354 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.354 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of k in k 1554304284.354 * [misc]backup-simplify: Simplify 0 into 0 1554304284.354 * [misc]backup-simplify: Simplify 1 into 1 1554304284.354 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.354 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.354 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.354 * [misc]backup-simplify: Simplify PI into PI 1554304284.355 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.355 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.355 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.355 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.355 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304284.356 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.356 * [misc]backup-simplify: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1554304284.356 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of k in k 1554304284.356 * [misc]backup-simplify: Simplify 0 into 0 1554304284.356 * [misc]backup-simplify: Simplify 1 into 1 1554304284.356 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.356 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.356 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.356 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.356 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.356 * [misc]taylor: Taking taylor expansion of k in k 1554304284.356 * [misc]backup-simplify: Simplify 0 into 0 1554304284.356 * [misc]backup-simplify: Simplify 1 into 1 1554304284.357 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.357 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.357 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.357 * [misc]backup-simplify: Simplify PI into PI 1554304284.357 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.357 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.357 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.357 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.357 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304284.358 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.358 * [misc]backup-simplify: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1554304284.358 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304284.358 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.358 * [misc]taylor: Taking taylor expansion of k in k 1554304284.358 * [misc]backup-simplify: Simplify 0 into 0 1554304284.358 * [misc]backup-simplify: Simplify 1 into 1 1554304284.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.358 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.358 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.358 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1554304284.358 * [misc]backup-simplify: Simplify 0 into 0 1554304284.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554304284.359 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1554304284.359 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1554304284.359 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304284.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304284.360 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554304284.360 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1554304284.360 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1554304284.360 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.361 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304284.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554304284.362 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1554304284.362 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1554304284.362 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))) 1554304284.362 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1554304284.362 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1554304284.362 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554304284.362 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of -1 in k 1554304284.363 * [misc]backup-simplify: Simplify -1 into -1 1554304284.363 * [misc]taylor: Taking taylor expansion of k in k 1554304284.363 * [misc]backup-simplify: Simplify 0 into 0 1554304284.363 * [misc]backup-simplify: Simplify 1 into 1 1554304284.363 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304284.363 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.363 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304284.363 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.363 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.363 * [misc]taylor: Taking taylor expansion of k in k 1554304284.363 * [misc]backup-simplify: Simplify 0 into 0 1554304284.363 * [misc]backup-simplify: Simplify 1 into 1 1554304284.363 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.363 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.364 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.364 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.364 * [misc]backup-simplify: Simplify PI into PI 1554304284.364 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.364 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.364 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.364 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.364 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.364 * [misc]backup-simplify: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1554304284.365 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of -1 in k 1554304284.365 * [misc]backup-simplify: Simplify -1 into -1 1554304284.365 * [misc]taylor: Taking taylor expansion of k in k 1554304284.365 * [misc]backup-simplify: Simplify 0 into 0 1554304284.365 * [misc]backup-simplify: Simplify 1 into 1 1554304284.365 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304284.365 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.365 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304284.365 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.365 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of k in k 1554304284.365 * [misc]backup-simplify: Simplify 0 into 0 1554304284.365 * [misc]backup-simplify: Simplify 1 into 1 1554304284.365 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.365 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.365 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.365 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.366 * [misc]backup-simplify: Simplify PI into PI 1554304284.366 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.366 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.366 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.366 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.366 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.366 * [misc]backup-simplify: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1554304284.367 * [misc]backup-simplify: Simplify (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1554304284.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304284.367 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304284.368 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304284.368 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304284.368 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.369 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304284.369 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304284.369 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304284.370 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (/ 1 (- k))) (/ +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))) 1554304284.370 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1554304284.370 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1554304284.370 * [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 (n k) around 0 1554304284.370 * [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 1554304284.370 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.370 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.370 * [misc]taylor: Taking taylor expansion of k in k 1554304284.370 * [misc]backup-simplify: Simplify 0 into 0 1554304284.370 * [misc]backup-simplify: Simplify 1 into 1 1554304284.370 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554304284.370 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.370 * [misc]backup-simplify: Simplify 2 into 2 1554304284.370 * [misc]taylor: Taking taylor expansion of n in k 1554304284.370 * [misc]backup-simplify: Simplify n into n 1554304284.370 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554304284.370 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554304284.370 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.370 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.371 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.371 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554304284.371 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554304284.371 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304284.371 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304284.371 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304284.371 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.371 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.371 * [misc]taylor: Taking taylor expansion of k in k 1554304284.371 * [misc]backup-simplify: Simplify 0 into 0 1554304284.371 * [misc]backup-simplify: Simplify 1 into 1 1554304284.371 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.371 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.371 * [misc]backup-simplify: Simplify PI into PI 1554304284.371 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.371 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.371 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.372 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.372 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.372 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304284.372 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304284.372 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.372 * [misc]taylor: Taking taylor expansion of k in k 1554304284.372 * [misc]backup-simplify: Simplify 0 into 0 1554304284.372 * [misc]backup-simplify: Simplify 1 into 1 1554304284.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.373 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.373 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.373 * [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 1554304284.373 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.373 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.373 * [misc]taylor: Taking taylor expansion of k in n 1554304284.373 * [misc]backup-simplify: Simplify k into k 1554304284.373 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304284.373 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.373 * [misc]backup-simplify: Simplify 2 into 2 1554304284.373 * [misc]taylor: Taking taylor expansion of n in n 1554304284.373 * [misc]backup-simplify: Simplify 0 into 0 1554304284.373 * [misc]backup-simplify: Simplify 1 into 1 1554304284.374 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304284.374 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304284.374 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.374 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304284.374 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304284.374 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304284.375 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.375 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304284.375 * [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)))) 1554304284.375 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1554304284.375 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1554304284.375 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1554304284.375 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304284.375 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.375 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304284.375 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.375 * [misc]taylor: Taking taylor expansion of k in n 1554304284.375 * [misc]backup-simplify: Simplify k into k 1554304284.375 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304284.375 * [misc]taylor: Taking taylor expansion of PI in n 1554304284.375 * [misc]backup-simplify: Simplify PI into PI 1554304284.376 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.376 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304284.376 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304284.376 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304284.376 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1554304284.377 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1554304284.377 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of k in n 1554304284.377 * [misc]backup-simplify: Simplify k into k 1554304284.377 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.377 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304284.377 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.377 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304284.377 * [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 1554304284.377 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.377 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.377 * [misc]taylor: Taking taylor expansion of k in n 1554304284.377 * [misc]backup-simplify: Simplify k into k 1554304284.377 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304284.377 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.378 * [misc]backup-simplify: Simplify 2 into 2 1554304284.378 * [misc]taylor: Taking taylor expansion of n in n 1554304284.378 * [misc]backup-simplify: Simplify 0 into 0 1554304284.378 * [misc]backup-simplify: Simplify 1 into 1 1554304284.378 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304284.378 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304284.378 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.378 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304284.378 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304284.379 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304284.379 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.380 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304284.380 * [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)))) 1554304284.380 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1554304284.380 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1554304284.380 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1554304284.380 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304284.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.380 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304284.380 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.380 * [misc]taylor: Taking taylor expansion of k in n 1554304284.380 * [misc]backup-simplify: Simplify k into k 1554304284.380 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304284.380 * [misc]taylor: Taking taylor expansion of PI in n 1554304284.380 * [misc]backup-simplify: Simplify PI into PI 1554304284.381 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.381 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304284.381 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304284.381 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304284.381 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1554304284.382 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1554304284.382 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304284.382 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.382 * [misc]taylor: Taking taylor expansion of k in n 1554304284.382 * [misc]backup-simplify: Simplify k into k 1554304284.382 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.382 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304284.382 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.382 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304284.383 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1554304284.383 * [misc]backup-simplify: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1554304284.383 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k 1554304284.383 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304284.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.383 * [misc]taylor: Taking taylor expansion of k in k 1554304284.383 * [misc]backup-simplify: Simplify 0 into 0 1554304284.383 * [misc]backup-simplify: Simplify 1 into 1 1554304284.383 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.384 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.384 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.384 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k 1554304284.384 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554304284.384 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554304284.384 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554304284.384 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304284.384 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.384 * [misc]backup-simplify: Simplify 2 into 2 1554304284.384 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.384 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304284.384 * [misc]taylor: Taking taylor expansion of n in k 1554304284.384 * [misc]backup-simplify: Simplify n into n 1554304284.384 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304284.385 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.385 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.385 * [misc]taylor: Taking taylor expansion of k in k 1554304284.385 * [misc]backup-simplify: Simplify 0 into 0 1554304284.385 * [misc]backup-simplify: Simplify 1 into 1 1554304284.385 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554304284.385 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.385 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.385 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.386 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554304284.386 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304284.386 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304284.386 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304284.386 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304284.386 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304284.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.386 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304284.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.386 * [misc]taylor: Taking taylor expansion of k in k 1554304284.386 * [misc]backup-simplify: Simplify 0 into 0 1554304284.386 * [misc]backup-simplify: Simplify 1 into 1 1554304284.386 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.386 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.386 * [misc]backup-simplify: Simplify PI into PI 1554304284.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.387 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304284.387 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.387 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.387 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.388 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304284.389 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) 1554304284.389 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0 1554304284.389 * [misc]backup-simplify: Simplify 0 into 0 1554304284.392 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304284.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304284.392 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.393 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0 1554304284.394 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.396 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304284.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304284.397 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.397 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.397 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554304284.399 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.399 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0 1554304284.400 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1554304284.400 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.400 * [misc]backup-simplify: Simplify 0 into 0 1554304284.402 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304284.403 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304284.403 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.403 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554304284.407 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304284.407 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304284.407 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.408 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.410 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304284.411 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304284.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.411 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554304284.412 * [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))))) 1554304284.414 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) 1554304284.415 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) 1554304284.416 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) 1554304284.416 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.416 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1554304284.419 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304284.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304284.419 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.419 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.420 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554304284.422 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304284.422 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304284.425 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304284.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304284.425 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.425 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.425 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.426 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554304284.427 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304284.427 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0 1554304284.428 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1554304284.428 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.428 * [misc]backup-simplify: Simplify 0 into 0 1554304284.428 * [misc]backup-simplify: Simplify 0 into 0 1554304284.430 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304284.430 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.431 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.431 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.431 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554304284.434 * [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))) 1554304284.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304284.434 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.437 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304284.437 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304284.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.438 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554304284.439 * [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))))) 1554304284.442 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (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 PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI)))))))) 1554304284.443 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304284.443 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304284.452 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) 1554304284.455 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) 1554304284.455 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.456 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1554304284.462 * [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 1554304284.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554304284.462 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.463 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304284.465 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304284.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1554304284.470 * [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 1554304284.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554304284.470 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.470 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304284.471 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1554304284.473 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304284.473 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0 1554304284.473 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1554304284.473 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.474 * [misc]backup-simplify: Simplify 0 into 0 1554304284.474 * [misc]backup-simplify: Simplify 0 into 0 1554304284.474 * [misc]backup-simplify: Simplify 0 into 0 1554304284.478 * [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 1554304284.478 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304284.478 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304284.484 * [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))) 1554304284.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304284.484 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.488 * [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 1554304284.490 * [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 1554304284.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.490 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1554304284.492 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1554304284.498 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (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))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))))))))))))) 1554304284.498 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.499 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304284.523 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) 1554304284.537 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) 1554304284.550 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))) 1554304284.550 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow PI (- 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)) 1554304284.550 * [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 (n k) around 0 1554304284.550 * [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 1554304284.550 * [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 1554304284.550 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304284.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304284.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.550 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.550 * [misc]taylor: Taking taylor expansion of k in k 1554304284.550 * [misc]backup-simplify: Simplify 0 into 0 1554304284.550 * [misc]backup-simplify: Simplify 1 into 1 1554304284.550 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.550 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.551 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.551 * [misc]backup-simplify: Simplify PI into PI 1554304284.551 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.551 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.551 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.551 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.551 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304284.552 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.552 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of k in k 1554304284.552 * [misc]backup-simplify: Simplify 0 into 0 1554304284.552 * [misc]backup-simplify: Simplify 1 into 1 1554304284.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.552 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554304284.552 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.552 * [misc]backup-simplify: Simplify 2 into 2 1554304284.552 * [misc]taylor: Taking taylor expansion of n in k 1554304284.552 * [misc]backup-simplify: Simplify n into n 1554304284.552 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554304284.552 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554304284.552 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.552 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.552 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.552 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554304284.553 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.553 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304284.553 * [misc]taylor: Taking taylor expansion of k in k 1554304284.553 * [misc]backup-simplify: Simplify 0 into 0 1554304284.553 * [misc]backup-simplify: Simplify 1 into 1 1554304284.553 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.553 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.553 * [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 1554304284.553 * [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 1554304284.553 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of k in n 1554304284.553 * [misc]backup-simplify: Simplify k into k 1554304284.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.553 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304284.553 * [misc]taylor: Taking taylor expansion of PI in n 1554304284.553 * [misc]backup-simplify: Simplify PI into PI 1554304284.554 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.554 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304284.554 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304284.554 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1554304284.554 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.554 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of k in n 1554304284.554 * [misc]backup-simplify: Simplify k into k 1554304284.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.554 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304284.554 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.554 * [misc]backup-simplify: Simplify 2 into 2 1554304284.554 * [misc]taylor: Taking taylor expansion of n in n 1554304284.554 * [misc]backup-simplify: Simplify 0 into 0 1554304284.554 * [misc]backup-simplify: Simplify 1 into 1 1554304284.555 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304284.555 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.555 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304284.555 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304284.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.555 * [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))) 1554304284.555 * [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)))) 1554304284.555 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of k in n 1554304284.556 * [misc]backup-simplify: Simplify k into k 1554304284.556 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304284.556 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304284.556 * [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 1554304284.556 * [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 1554304284.556 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of k in n 1554304284.556 * [misc]backup-simplify: Simplify k into k 1554304284.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.556 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304284.556 * [misc]taylor: Taking taylor expansion of PI in n 1554304284.556 * [misc]backup-simplify: Simplify PI into PI 1554304284.556 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.556 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.556 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304284.556 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304284.556 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1554304284.557 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.557 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.557 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of k in n 1554304284.557 * [misc]backup-simplify: Simplify k into k 1554304284.557 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.557 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304284.557 * [misc]taylor: Taking taylor expansion of 2 in n 1554304284.557 * [misc]backup-simplify: Simplify 2 into 2 1554304284.557 * [misc]taylor: Taking taylor expansion of n in n 1554304284.557 * [misc]backup-simplify: Simplify 0 into 0 1554304284.557 * [misc]backup-simplify: Simplify 1 into 1 1554304284.557 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304284.558 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.558 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.558 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304284.558 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304284.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.558 * [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))) 1554304284.559 * [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)))) 1554304284.559 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304284.559 * [misc]taylor: Taking taylor expansion of k in n 1554304284.559 * [misc]backup-simplify: Simplify k into k 1554304284.559 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304284.559 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304284.560 * [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))))) 1554304284.560 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304284.560 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k 1554304284.560 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304284.560 * [misc]taylor: Taking taylor expansion of k in k 1554304284.560 * [misc]backup-simplify: Simplify 0 into 0 1554304284.560 * [misc]backup-simplify: Simplify 1 into 1 1554304284.560 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.561 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304284.561 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of k in k 1554304284.561 * [misc]backup-simplify: Simplify 0 into 0 1554304284.561 * [misc]backup-simplify: Simplify 1 into 1 1554304284.561 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.561 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.561 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.561 * [misc]backup-simplify: Simplify PI into PI 1554304284.562 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.562 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.562 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.562 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.563 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304284.563 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304284.563 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554304284.563 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554304284.563 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304284.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.563 * [misc]taylor: Taking taylor expansion of k in k 1554304284.563 * [misc]backup-simplify: Simplify 0 into 0 1554304284.563 * [misc]backup-simplify: Simplify 1 into 1 1554304284.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.563 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554304284.564 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304284.564 * [misc]taylor: Taking taylor expansion of 2 in k 1554304284.564 * [misc]backup-simplify: Simplify 2 into 2 1554304284.564 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304284.564 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304284.564 * [misc]taylor: Taking taylor expansion of n in k 1554304284.564 * [misc]backup-simplify: Simplify n into n 1554304284.564 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304284.564 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.564 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304284.564 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304284.564 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304284.565 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554304284.565 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554304284.565 * [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)))) 1554304284.566 * [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))))) 1554304284.566 * [misc]backup-simplify: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1554304284.566 * [misc]backup-simplify: Simplify 0 into 0 1554304284.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554304284.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304284.569 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304284.569 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.570 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554304284.571 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.574 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304284.574 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304284.574 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.575 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1554304284.576 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.577 * [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 1554304284.577 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0 1554304284.577 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.577 * [misc]backup-simplify: Simplify 0 into 0 1554304284.577 * [misc]backup-simplify: Simplify 0 into 0 1554304284.578 * [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 1554304284.579 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +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))))))) 1554304284.579 * [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))))))) 1554304284.580 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1554304284.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.585 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304284.585 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.585 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304284.586 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.586 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.587 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554304284.589 * [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 1554304284.594 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304284.594 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.594 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304284.594 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.595 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554304284.598 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304284.598 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554304284.599 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1554304284.599 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.599 * [misc]backup-simplify: Simplify 0 into 0 1554304284.599 * [misc]backup-simplify: Simplify 0 into 0 1554304284.599 * [misc]backup-simplify: Simplify 0 into 0 1554304284.600 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554304284.601 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304284.602 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 1554304284.602 * [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))))))) 1554304284.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1554304284.603 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.610 * [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 1554304284.610 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.611 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304284.611 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.611 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304284.612 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554304284.615 * [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 1554304284.620 * [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 1554304284.620 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.620 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304284.621 * [misc]backup-simplify: Simplify (- 0) into 0 1554304284.621 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.621 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304284.623 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304284.624 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1554304284.624 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1554304284.624 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.624 * [misc]backup-simplify: Simplify 0 into 0 1554304284.625 * [misc]backup-simplify: Simplify 0 into 0 1554304284.625 * [misc]backup-simplify: Simplify 0 into 0 1554304284.625 * [misc]backup-simplify: Simplify 0 into 0 1554304284.625 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1554304284.626 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304284.626 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 1554304284.627 * [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))))))) 1554304284.628 * [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 k) 1) 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 k) 1) 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 k) 1)))) 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)))))))) 1554304284.628 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow PI (- 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))) 1554304284.628 * [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 (n k) around 0 1554304284.628 * [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 1554304284.628 * [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 1554304284.628 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.628 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554304284.628 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554304284.628 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.628 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.628 * [misc]taylor: Taking taylor expansion of k in k 1554304284.628 * [misc]backup-simplify: Simplify 0 into 0 1554304284.629 * [misc]backup-simplify: Simplify 1 into 1 1554304284.629 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.629 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.629 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of -2 in k 1554304284.629 * [misc]backup-simplify: Simplify -2 into -2 1554304284.629 * [misc]taylor: Taking taylor expansion of n in k 1554304284.629 * [misc]backup-simplify: Simplify n into n 1554304284.629 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554304284.629 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554304284.629 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.629 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.629 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554304284.629 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.629 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.629 * [misc]taylor: Taking taylor expansion of k in k 1554304284.629 * [misc]backup-simplify: Simplify 0 into 0 1554304284.630 * [misc]backup-simplify: Simplify 1 into 1 1554304284.630 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.630 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.630 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.630 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.630 * [misc]backup-simplify: Simplify PI into PI 1554304284.630 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.630 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.630 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.631 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.631 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.631 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304284.631 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304284.631 * [misc]taylor: Taking taylor expansion of -1 in k 1554304284.631 * [misc]backup-simplify: Simplify -1 into -1 1554304284.631 * [misc]taylor: Taking taylor expansion of k in k 1554304284.631 * [misc]backup-simplify: Simplify 0 into 0 1554304284.631 * [misc]backup-simplify: Simplify 1 into 1 1554304284.631 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304284.631 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.631 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304284.632 * [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))) 1554304284.632 * [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)))) 1554304284.632 * [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 1554304284.632 * [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 1554304284.632 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.632 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of k in n 1554304284.632 * [misc]backup-simplify: Simplify k into k 1554304284.632 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.632 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304284.632 * [misc]taylor: Taking taylor expansion of -2 in n 1554304284.632 * [misc]backup-simplify: Simplify -2 into -2 1554304284.632 * [misc]taylor: Taking taylor expansion of n in n 1554304284.632 * [misc]backup-simplify: Simplify 0 into 0 1554304284.632 * [misc]backup-simplify: Simplify 1 into 1 1554304284.632 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304284.632 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304284.632 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.632 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304284.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.633 * [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))) 1554304284.633 * [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)))) 1554304284.633 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.633 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of k in n 1554304284.633 * [misc]backup-simplify: Simplify k into k 1554304284.633 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.633 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.633 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304284.633 * [misc]taylor: Taking taylor expansion of PI in n 1554304284.633 * [misc]backup-simplify: Simplify PI into PI 1554304284.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.634 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.634 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304284.634 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1554304284.634 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.634 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304284.634 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304284.634 * [misc]taylor: Taking taylor expansion of -1 in n 1554304284.634 * [misc]backup-simplify: Simplify -1 into -1 1554304284.634 * [misc]taylor: Taking taylor expansion of k in n 1554304284.634 * [misc]backup-simplify: Simplify k into k 1554304284.634 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304284.634 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304284.634 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304284.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304284.635 * [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))) 1554304284.635 * [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))) 1554304284.635 * [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 1554304284.635 * [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 1554304284.635 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of k in n 1554304284.635 * [misc]backup-simplify: Simplify k into k 1554304284.635 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.635 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304284.635 * [misc]taylor: Taking taylor expansion of -2 in n 1554304284.635 * [misc]backup-simplify: Simplify -2 into -2 1554304284.635 * [misc]taylor: Taking taylor expansion of n in n 1554304284.635 * [misc]backup-simplify: Simplify 0 into 0 1554304284.635 * [misc]backup-simplify: Simplify 1 into 1 1554304284.635 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304284.636 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304284.636 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.636 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304284.636 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.636 * [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))) 1554304284.636 * [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)))) 1554304284.636 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304284.636 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1554304284.636 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1554304284.636 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304284.636 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304284.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304284.636 * [misc]taylor: Taking taylor expansion of k in n 1554304284.636 * [misc]backup-simplify: Simplify k into k 1554304284.636 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304284.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304284.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.637 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304284.637 * [misc]taylor: Taking taylor expansion of PI in n 1554304284.637 * [misc]backup-simplify: Simplify PI into PI 1554304284.637 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.637 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304284.637 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304284.637 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1554304284.637 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.637 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304284.637 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304284.637 * [misc]taylor: Taking taylor expansion of -1 in n 1554304284.637 * [misc]backup-simplify: Simplify -1 into -1 1554304284.637 * [misc]taylor: Taking taylor expansion of k in n 1554304284.637 * [misc]backup-simplify: Simplify k into k 1554304284.637 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304284.637 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304284.638 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304284.638 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304284.638 * [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))) 1554304284.638 * [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))) 1554304284.638 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.638 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.638 * [misc]taylor: Taking taylor expansion of k in k 1554304284.638 * [misc]backup-simplify: Simplify 0 into 0 1554304284.638 * [misc]backup-simplify: Simplify 1 into 1 1554304284.639 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.639 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554304284.639 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554304284.639 * [misc]taylor: Taking taylor expansion of -2 in k 1554304284.639 * [misc]backup-simplify: Simplify -2 into -2 1554304284.639 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304284.639 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304284.639 * [misc]taylor: Taking taylor expansion of n in k 1554304284.639 * [misc]backup-simplify: Simplify n into n 1554304284.639 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304284.639 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.639 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.639 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304284.639 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554304284.639 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554304284.640 * [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)))) 1554304284.640 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304284.640 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304284.640 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304284.640 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304284.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304284.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.640 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304284.640 * [misc]taylor: Taking taylor expansion of k in k 1554304284.640 * [misc]backup-simplify: Simplify 0 into 0 1554304284.640 * [misc]backup-simplify: Simplify 1 into 1 1554304284.641 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304284.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304284.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304284.641 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304284.641 * [misc]taylor: Taking taylor expansion of PI in k 1554304284.641 * [misc]backup-simplify: Simplify PI into PI 1554304284.641 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304284.641 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304284.641 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304284.642 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304284.642 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304284.642 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304284.642 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304284.642 * [misc]taylor: Taking taylor expansion of -1 in k 1554304284.642 * [misc]backup-simplify: Simplify -1 into -1 1554304284.642 * [misc]taylor: Taking taylor expansion of k in k 1554304284.642 * [misc]backup-simplify: Simplify 0 into 0 1554304284.642 * [misc]backup-simplify: Simplify 1 into 1 1554304284.642 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304284.642 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304284.642 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304284.643 * [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))) 1554304284.643 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1554304284.643 * [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)))) 1554304284.645 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304284.645 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304284.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.645 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1554304284.646 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.647 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554304284.648 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554304284.648 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304284.648 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304284.648 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.649 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554304284.650 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304284.651 * [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 1554304284.652 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1554304284.652 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.652 * [misc]backup-simplify: Simplify 0 into 0 1554304284.652 * [misc]backup-simplify: Simplify 0 into 0 1554304284.652 * [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 1554304284.653 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304284.654 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304284.655 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304284.655 * [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))))) 1554304284.659 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304284.660 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.660 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304284.660 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.661 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554304284.663 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304284.663 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.666 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554304284.666 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.667 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304284.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304284.667 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304284.667 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554304284.668 * [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 1554304284.669 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1554304284.669 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304284.669 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554304284.670 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1554304284.670 * [misc]taylor: Taking taylor expansion of 0 in k 1554304284.670 * [misc]backup-simplify: Simplify 0 into 0 1554304284.670 * [misc]backup-simplify: Simplify 0 into 0 1554304284.670 * [misc]backup-simplify: Simplify 0 into 0 1554304284.670 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1554304284.670 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304284.671 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304284.672 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304284.672 * [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))))) 1554304284.674 * [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 (- k)) 1) 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 (- k)) 1)) (* +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)))))))) 1554304284.674 * * * [misc]progress: simplifying candidates 1554304284.674 * * * * [misc]progress: [ 1 / 261 ] simplifiying candidate # 1554304284.674 * * * * [misc]progress: [ 2 / 261 ] simplifiying candidate # 1554304284.674 * * * * [misc]progress: [ 3 / 261 ] simplifiying candidate # 1554304284.674 * * * * [misc]progress: [ 4 / 261 ] simplifiying candidate # 1554304284.674 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554304284.674 * * [misc]simplify: iters left: 3 (5 enodes) 1554304284.676 * * [misc]simplify: iters left: 2 (15 enodes) 1554304284.678 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.678 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304284.678 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304284.678 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554304284.678 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554304284.678 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow PI 1/2) (pow PI (/ k 2)))))) 1554304284.678 * * * * [misc]progress: [ 5 / 261 ] simplifiying candidate # 1554304284.678 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554304284.678 * * [misc]simplify: iters left: 5 (6 enodes) 1554304284.680 * * [misc]simplify: iters left: 4 (20 enodes) 1554304284.684 * * [misc]simplify: iters left: 3 (25 enodes) 1554304284.690 * * [misc]simplify: iters left: 2 (27 enodes) 1554304284.699 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.699 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304284.699 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304284.699 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304284.699 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304284.699 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304284.700 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554304284.700 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554304284.700 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554304284.700 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1554304284.701 * * * * [misc]progress: [ 6 / 261 ] simplifiying candidate # 1554304284.701 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554304284.701 * * [misc]simplify: iters left: 5 (6 enodes) 1554304284.705 * * [misc]simplify: iters left: 4 (20 enodes) 1554304284.712 * * [misc]simplify: iters left: 3 (25 enodes) 1554304284.719 * * [misc]simplify: iters left: 2 (27 enodes) 1554304284.727 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.727 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304284.727 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304284.727 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304284.727 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304284.727 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304284.727 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554304284.728 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554304284.728 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554304284.728 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1554304284.728 * * * * [misc]progress: [ 7 / 261 ] simplifiying candidate # 1554304284.728 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554304284.729 * * [misc]simplify: iters left: 4 (5 enodes) 1554304284.731 * * [misc]simplify: iters left: 3 (17 enodes) 1554304284.737 * * [misc]simplify: iters left: 2 (22 enodes) 1554304284.744 * * [misc]simplify: iters left: 1 (24 enodes) 1554304284.751 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.751 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304284.751 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304284.751 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554304284.751 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554304284.752 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554304284.752 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow PI 1) (- 1/2 (/ k 2)))))) 1554304284.752 * * * * [misc]progress: [ 8 / 261 ] simplifiying candidate # 1554304284.752 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554304284.752 * * [misc]simplify: iters left: 5 (6 enodes) 1554304284.755 * * [misc]simplify: iters left: 4 (20 enodes) 1554304284.759 * * [misc]simplify: iters left: 3 (22 enodes) 1554304284.762 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.763 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304284.763 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304284.763 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304284.763 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554304284.763 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554304284.763 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554304284.763 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554304284.763 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2))))))) 1554304284.763 * * * * [misc]progress: [ 9 / 261 ] simplifiying candidate # 1554304284.763 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554304284.763 * * [misc]simplify: iters left: 5 (6 enodes) 1554304284.765 * * [misc]simplify: iters left: 4 (20 enodes) 1554304284.769 * * [misc]simplify: iters left: 3 (22 enodes) 1554304284.772 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.773 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304284.773 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304284.773 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304284.773 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554304284.773 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554304284.773 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554304284.773 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554304284.773 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow PI 1/2) (pow PI (- (/ k 2))))))) 1554304284.773 * * * * [misc]progress: [ 10 / 261 ] simplifiying candidate # 1554304284.773 * * * * [misc]progress: [ 11 / 261 ] simplifiying candidate # 1554304284.773 * * * * [misc]progress: [ 12 / 261 ] simplifiying candidate # 1554304284.773 * * * * [misc]progress: [ 13 / 261 ] simplifiying candidate # 1554304284.773 * * * * [misc]progress: [ 14 / 261 ] simplifiying candidate # 1554304284.773 * * * * [misc]progress: [ 15 / 261 ] simplifiying candidate # 1554304284.773 * * * * [misc]progress: [ 16 / 261 ] simplifiying candidate # 1554304284.774 * * * * [misc]progress: [ 17 / 261 ] simplifiying candidate #real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))> 1554304284.774 * * * * [misc]progress: [ 18 / 261 ] simplifiying candidate # 1554304284.774 * * * * [misc]progress: [ 19 / 261 ] simplifiying candidate # 1554304284.774 * * * * [misc]progress: [ 20 / 261 ] simplifiying candidate # 1554304284.774 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1554304284.774 * * [misc]simplify: iters left: 6 (9 enodes) 1554304284.777 * * [misc]simplify: iters left: 5 (34 enodes) 1554304284.782 * * [misc]simplify: iters left: 4 (56 enodes) 1554304284.792 * * [misc]simplify: iters left: 3 (114 enodes) 1554304284.818 * * [misc]simplify: iters left: 2 (261 enodes) 1554304284.893 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.893 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304284.893 * * [misc]simplify: Extracting #2: cost 97 inf + 1 1554304284.894 * * [misc]simplify: Extracting #3: cost 93 inf + 1086 1554304284.896 * * [misc]simplify: Extracting #4: cost 44 inf + 8830 1554304284.902 * * [misc]simplify: Extracting #5: cost 3 inf + 19869 1554304284.908 * * [misc]simplify: Extracting #6: cost 0 inf + 20980 1554304284.914 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1554304284.914 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.914 * * * * [misc]progress: [ 21 / 261 ] simplifiying candidate # 1554304284.914 * * * * [misc]progress: [ 22 / 261 ] simplifiying candidate # 1554304284.914 * [enter]simplify: Simplifying (* n 2) 1554304284.914 * * [misc]simplify: iters left: 2 (3 enodes) 1554304284.915 * * [misc]simplify: iters left: 1 (10 enodes) 1554304284.917 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.917 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304284.917 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1554304284.917 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1554304284.917 * [exit]simplify: Simplified to (* n 2) 1554304284.917 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.917 * * * * [misc]progress: [ 23 / 261 ] simplifiying candidate # 1554304284.917 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1554304284.917 * * [misc]simplify: iters left: 3 (6 enodes) 1554304284.918 * * [misc]simplify: iters left: 2 (19 enodes) 1554304284.923 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.923 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304284.923 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304284.923 * * [misc]simplify: Extracting #3: cost 4 inf + 87 1554304284.924 * * [misc]simplify: Extracting #4: cost 0 inf + 757 1554304284.924 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1554304284.924 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.924 * * * * [misc]progress: [ 24 / 261 ] simplifiying candidate # 1554304284.924 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554304284.924 * * [misc]simplify: iters left: 5 (6 enodes) 1554304284.927 * * [misc]simplify: iters left: 4 (20 enodes) 1554304284.933 * * [misc]simplify: iters left: 3 (25 enodes) 1554304284.940 * * [misc]simplify: iters left: 2 (27 enodes) 1554304284.946 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.947 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304284.947 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304284.947 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304284.947 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304284.947 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304284.947 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554304284.947 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554304284.947 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554304284.947 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.947 * * * * [misc]progress: [ 25 / 261 ] simplifiying candidate # 1554304284.948 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554304284.948 * * [misc]simplify: iters left: 5 (6 enodes) 1554304284.949 * * [misc]simplify: iters left: 4 (20 enodes) 1554304284.952 * * [misc]simplify: iters left: 3 (25 enodes) 1554304284.956 * * [misc]simplify: iters left: 2 (27 enodes) 1554304284.960 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.960 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304284.960 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304284.960 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304284.960 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304284.960 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304284.960 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554304284.961 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554304284.961 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554304284.961 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.961 * * * * [misc]progress: [ 26 / 261 ] simplifiying candidate # 1554304284.961 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554304284.961 * * [misc]simplify: iters left: 4 (5 enodes) 1554304284.963 * * [misc]simplify: iters left: 3 (17 enodes) 1554304284.966 * * [misc]simplify: iters left: 2 (22 enodes) 1554304284.969 * * [misc]simplify: iters left: 1 (24 enodes) 1554304284.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.973 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304284.973 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304284.973 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554304284.973 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554304284.973 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554304284.973 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.974 * * * * [misc]progress: [ 27 / 261 ] simplifiying candidate # 1554304284.974 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554304284.974 * * [misc]simplify: iters left: 5 (7 enodes) 1554304284.978 * * [misc]simplify: iters left: 4 (24 enodes) 1554304284.985 * * [misc]simplify: iters left: 3 (26 enodes) 1554304284.992 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304284.992 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304284.992 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304284.992 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304284.993 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554304284.993 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554304284.993 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554304284.993 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554304284.994 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554304284.994 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304284.994 * * * * [misc]progress: [ 28 / 261 ] simplifiying candidate # 1554304284.994 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554304284.994 * * [misc]simplify: iters left: 5 (7 enodes) 1554304284.998 * * [misc]simplify: iters left: 4 (24 enodes) 1554304285.006 * * [misc]simplify: iters left: 3 (26 enodes) 1554304285.013 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.013 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.013 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304285.013 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304285.013 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554304285.013 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554304285.013 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554304285.014 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554304285.014 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554304285.014 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304285.014 * * * * [misc]progress: [ 29 / 261 ] simplifiying candidate # 1554304285.015 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554304285.015 * * [misc]simplify: iters left: 5 (7 enodes) 1554304285.019 * * [misc]simplify: iters left: 4 (23 enodes) 1554304285.026 * * [misc]simplify: iters left: 3 (28 enodes) 1554304285.034 * * [misc]simplify: iters left: 2 (30 enodes) 1554304285.038 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.038 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.038 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304285.038 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304285.038 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304285.038 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304285.038 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304285.039 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304285.039 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304285.039 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304285.039 * * * * [misc]progress: [ 30 / 261 ] simplifiying candidate # 1554304285.039 * * * * [misc]progress: [ 31 / 261 ] simplifiying candidate # 1554304285.039 * * * * [misc]progress: [ 32 / 261 ] simplifiying candidate # 1554304285.039 * * * * [misc]progress: [ 33 / 261 ] simplifiying candidate # 1554304285.039 * * * * [misc]progress: [ 34 / 261 ] simplifiying candidate # 1554304285.039 * * * * [misc]progress: [ 35 / 261 ] simplifiying candidate # 1554304285.040 * * * * [misc]progress: [ 36 / 261 ] simplifiying candidate # 1554304285.040 * * * * [misc]progress: [ 37 / 261 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> 1554304285.040 * * * * [misc]progress: [ 38 / 261 ] simplifiying candidate # 1554304285.040 * * * * [misc]progress: [ 39 / 261 ] simplifiying candidate # 1554304285.040 * * * * [misc]progress: [ 40 / 261 ] simplifiying candidate # 1554304285.040 * * * * [misc]progress: [ 41 / 261 ] simplifiying candidate # 1554304285.040 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))) 1554304285.040 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.045 * * [misc]simplify: iters left: 5 (38 enodes) 1554304285.051 * * [misc]simplify: iters left: 4 (58 enodes) 1554304285.061 * * [misc]simplify: iters left: 3 (111 enodes) 1554304285.083 * * [misc]simplify: iters left: 2 (162 enodes) 1554304285.114 * * [misc]simplify: iters left: 1 (211 enodes) 1554304285.167 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.167 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554304285.167 * * [misc]simplify: Extracting #2: cost 50 inf + 2 1554304285.168 * * [misc]simplify: Extracting #3: cost 48 inf + 786 1554304285.169 * * [misc]simplify: Extracting #4: cost 19 inf + 4455 1554304285.173 * * [misc]simplify: Extracting #5: cost 1 inf + 7645 1554304285.177 * * [misc]simplify: Extracting #6: cost 0 inf + 7973 1554304285.179 * [exit]simplify: Simplified to (fma (log PI) (+ -1/2 (/ k 2)) (log (sqrt k))) 1554304285.179 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (fma (log PI) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1554304285.179 * * * * [misc]progress: [ 42 / 261 ] simplifiying candidate # 1554304285.179 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))) 1554304285.179 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.182 * * [misc]simplify: iters left: 5 (39 enodes) 1554304285.188 * * [misc]simplify: iters left: 4 (54 enodes) 1554304285.197 * * [misc]simplify: iters left: 3 (77 enodes) 1554304285.212 * * [misc]simplify: iters left: 2 (125 enodes) 1554304285.252 * * [misc]simplify: iters left: 1 (185 enodes) 1554304285.310 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.310 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1554304285.311 * * [misc]simplify: Extracting #2: cost 54 inf + 2 1554304285.311 * * [misc]simplify: Extracting #3: cost 51 inf + 565 1554304285.313 * * [misc]simplify: Extracting #4: cost 21 inf + 4746 1554304285.317 * * [misc]simplify: Extracting #5: cost 1 inf + 8657 1554304285.321 * * [misc]simplify: Extracting #6: cost 0 inf + 8710 1554304285.325 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log PI) (log (sqrt k))) 1554304285.325 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log PI) (log (sqrt k)))))) 1554304285.325 * * * * [misc]progress: [ 43 / 261 ] simplifiying candidate # 1554304285.325 * * * * [misc]progress: [ 44 / 261 ] simplifiying candidate # 1554304285.325 * * * * [misc]progress: [ 45 / 261 ] simplifiying candidate # 1554304285.326 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) 1554304285.326 * * [misc]simplify: iters left: 6 (13 enodes) 1554304285.333 * * [misc]simplify: iters left: 5 (48 enodes) 1554304285.349 * * [misc]simplify: iters left: 4 (92 enodes) 1554304285.383 * * [misc]simplify: iters left: 3 (152 enodes) 1554304285.415 * * [misc]simplify: iters left: 2 (187 enodes) 1554304285.451 * * [misc]simplify: iters left: 1 (200 enodes) 1554304285.478 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.478 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554304285.478 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554304285.478 * * [misc]simplify: Extracting #3: cost 45 inf + 85 1554304285.479 * * [misc]simplify: Extracting #4: cost 46 inf + 248 1554304285.479 * * [misc]simplify: Extracting #5: cost 42 inf + 709 1554304285.480 * * [misc]simplify: Extracting #6: cost 10 inf + 11789 1554304285.485 * * [misc]simplify: Extracting #7: cost 0 inf + 15597 1554304285.491 * [exit]simplify: Simplified to (/ (/ k (pow PI (- 1/2 (/ k 2)))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1554304285.491 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (/ k (pow PI (- 1/2 (/ k 2)))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))) 1554304285.491 * * * * [misc]progress: [ 46 / 261 ] simplifiying candidate # 1554304285.491 * * * * [misc]progress: [ 47 / 261 ] simplifiying candidate # 1554304285.491 * * * * [misc]progress: [ 48 / 261 ] simplifiying candidate # 1554304285.492 * * * * [misc]progress: [ 49 / 261 ] simplifiying candidate # 1554304285.492 * * * * [misc]progress: [ 50 / 261 ] simplifiying candidate # 1554304285.492 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) 1554304285.492 * * [misc]simplify: iters left: 6 (8 enodes) 1554304285.496 * * [misc]simplify: iters left: 5 (27 enodes) 1554304285.504 * * [misc]simplify: iters left: 4 (31 enodes) 1554304285.513 * * [misc]simplify: iters left: 3 (34 enodes) 1554304285.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.522 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304285.522 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304285.522 * * [misc]simplify: Extracting #3: cost 14 inf + 43 1554304285.522 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304285.523 * * [misc]simplify: Extracting #5: cost 10 inf + 167 1554304285.523 * * [misc]simplify: Extracting #6: cost 2 inf + 1579 1554304285.524 * * [misc]simplify: Extracting #7: cost 0 inf + 2023 1554304285.524 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) 1554304285.524 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304285.525 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304285.525 * * [misc]simplify: iters left: 6 (9 enodes) 1554304285.529 * * [misc]simplify: iters left: 5 (29 enodes) 1554304285.533 * * [misc]simplify: iters left: 4 (31 enodes) 1554304285.537 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.537 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.537 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.537 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304285.538 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304285.538 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304285.538 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554304285.538 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554304285.538 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304285.538 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304285.538 * * * * [misc]progress: [ 51 / 261 ] simplifiying candidate # 1554304285.539 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) 1554304285.539 * * [misc]simplify: iters left: 6 (8 enodes) 1554304285.541 * * [misc]simplify: iters left: 5 (27 enodes) 1554304285.544 * * [misc]simplify: iters left: 4 (31 enodes) 1554304285.549 * * [misc]simplify: iters left: 3 (34 enodes) 1554304285.553 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.553 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304285.553 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554304285.553 * * [misc]simplify: Extracting #3: cost 14 inf + 43 1554304285.553 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304285.554 * * [misc]simplify: Extracting #5: cost 10 inf + 167 1554304285.554 * * [misc]simplify: Extracting #6: cost 2 inf + 1579 1554304285.554 * * [misc]simplify: Extracting #7: cost 0 inf + 2023 1554304285.554 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) 1554304285.554 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304285.555 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304285.555 * * [misc]simplify: iters left: 6 (9 enodes) 1554304285.558 * * [misc]simplify: iters left: 5 (29 enodes) 1554304285.564 * * [misc]simplify: iters left: 4 (31 enodes) 1554304285.572 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.573 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.573 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.573 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304285.573 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304285.573 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304285.573 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554304285.574 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554304285.574 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304285.574 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304285.575 * * * * [misc]progress: [ 52 / 261 ] simplifiying candidate # 1554304285.575 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304285.575 * * [misc]simplify: iters left: 6 (13 enodes) 1554304285.582 * * [misc]simplify: iters left: 5 (47 enodes) 1554304285.597 * * [misc]simplify: iters left: 4 (67 enodes) 1554304285.616 * * [misc]simplify: iters left: 3 (76 enodes) 1554304285.637 * * [misc]simplify: iters left: 2 (79 enodes) 1554304285.651 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.651 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304285.651 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304285.651 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554304285.651 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304285.651 * * [misc]simplify: Extracting #5: cost 26 inf + 649 1554304285.652 * * [misc]simplify: Extracting #6: cost 21 inf + 1152 1554304285.652 * * [misc]simplify: Extracting #7: cost 7 inf + 6180 1554304285.653 * * [misc]simplify: Extracting #8: cost 1 inf + 9504 1554304285.655 * * [misc]simplify: Extracting #9: cost 0 inf + 10038 1554304285.656 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304285.656 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 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)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.656 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304285.656 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.659 * * [misc]simplify: iters left: 5 (35 enodes) 1554304285.665 * * [misc]simplify: iters left: 4 (40 enodes) 1554304285.670 * * [misc]simplify: iters left: 3 (42 enodes) 1554304285.678 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.678 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.678 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304285.678 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304285.679 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304285.679 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304285.679 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554304285.679 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554304285.680 * * [misc]simplify: Extracting #8: cost 3 inf + 1786 1554304285.681 * * [misc]simplify: Extracting #9: cost 0 inf + 3228 1554304285.681 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304285.681 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 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)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.682 * * * * [misc]progress: [ 53 / 261 ] simplifiying candidate # 1554304285.682 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.682 * * [misc]simplify: iters left: 6 (12 enodes) 1554304285.688 * * [misc]simplify: iters left: 5 (40 enodes) 1554304285.700 * * [misc]simplify: iters left: 4 (49 enodes) 1554304285.714 * * [misc]simplify: iters left: 3 (54 enodes) 1554304285.730 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.730 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304285.730 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304285.730 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304285.730 * * [misc]simplify: Extracting #4: cost 21 inf + 2 1554304285.730 * * [misc]simplify: Extracting #5: cost 23 inf + 44 1554304285.731 * * [misc]simplify: Extracting #6: cost 11 inf + 1528 1554304285.731 * * [misc]simplify: Extracting #7: cost 2 inf + 4418 1554304285.733 * * [misc]simplify: Extracting #8: cost 0 inf + 5446 1554304285.734 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.734 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.735 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.735 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.740 * * [misc]simplify: iters left: 5 (35 enodes) 1554304285.751 * * [misc]simplify: iters left: 4 (40 enodes) 1554304285.763 * * [misc]simplify: iters left: 3 (42 enodes) 1554304285.775 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.775 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.775 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304285.775 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304285.775 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304285.775 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304285.775 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554304285.776 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554304285.776 * * [misc]simplify: Extracting #8: cost 3 inf + 1746 1554304285.777 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554304285.777 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.777 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.778 * * * * [misc]progress: [ 54 / 261 ] simplifiying candidate # 1554304285.778 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1554304285.778 * * [misc]simplify: iters left: 6 (6 enodes) 1554304285.782 * * [misc]simplify: iters left: 5 (20 enodes) 1554304285.789 * * [misc]simplify: iters left: 4 (30 enodes) 1554304285.797 * * [misc]simplify: iters left: 3 (31 enodes) 1554304285.805 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.805 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304285.806 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304285.806 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554304285.806 * * [misc]simplify: Extracting #4: cost 8 inf + 2 1554304285.806 * * [misc]simplify: Extracting #5: cost 0 inf + 972 1554304285.806 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554304285.806 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304285.807 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304285.807 * * [misc]simplify: iters left: 6 (10 enodes) 1554304285.812 * * [misc]simplify: iters left: 5 (32 enodes) 1554304285.817 * * [misc]simplify: iters left: 4 (37 enodes) 1554304285.824 * * [misc]simplify: iters left: 3 (39 enodes) 1554304285.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.830 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.830 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.830 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304285.830 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304285.830 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304285.830 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554304285.830 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554304285.831 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304285.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304285.831 * * * * [misc]progress: [ 55 / 261 ] simplifiying candidate # 1554304285.831 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI 1/2)) 1554304285.831 * * [misc]simplify: iters left: 4 (7 enodes) 1554304285.833 * * [misc]simplify: iters left: 3 (22 enodes) 1554304285.836 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.836 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.836 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.836 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1554304285.836 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1554304285.836 * * [misc]simplify: Extracting #5: cost 0 inf + 653 1554304285.836 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1554304285.836 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304285.837 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304285.837 * * [misc]simplify: iters left: 6 (9 enodes) 1554304285.841 * * [misc]simplify: iters left: 5 (29 enodes) 1554304285.845 * * [misc]simplify: iters left: 4 (31 enodes) 1554304285.849 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.849 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.849 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.849 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304285.849 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304285.849 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304285.850 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554304285.850 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554304285.850 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304285.850 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304285.850 * * * * [misc]progress: [ 56 / 261 ] simplifiying candidate # 1554304285.850 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI 1/2)) 1554304285.850 * * [misc]simplify: iters left: 4 (7 enodes) 1554304285.852 * * [misc]simplify: iters left: 3 (22 enodes) 1554304285.855 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.855 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.855 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.855 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1554304285.855 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1554304285.855 * * [misc]simplify: Extracting #5: cost 0 inf + 653 1554304285.856 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1554304285.856 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304285.856 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304285.856 * * [misc]simplify: iters left: 6 (9 enodes) 1554304285.858 * * [misc]simplify: iters left: 5 (29 enodes) 1554304285.862 * * [misc]simplify: iters left: 4 (31 enodes) 1554304285.866 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.866 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.866 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304285.866 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304285.866 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304285.866 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304285.867 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554304285.867 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554304285.867 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304285.867 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304285.867 * * * * [misc]progress: [ 57 / 261 ] simplifiying candidate # 1554304285.867 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304285.867 * * [misc]simplify: iters left: 6 (12 enodes) 1554304285.870 * * [misc]simplify: iters left: 5 (40 enodes) 1554304285.880 * * [misc]simplify: iters left: 4 (47 enodes) 1554304285.893 * * [misc]simplify: iters left: 3 (49 enodes) 1554304285.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.908 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304285.908 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304285.908 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304285.908 * * [misc]simplify: Extracting #4: cost 18 inf + 43 1554304285.908 * * [misc]simplify: Extracting #5: cost 18 inf + 247 1554304285.908 * * [misc]simplify: Extracting #6: cost 17 inf + 289 1554304285.909 * * [misc]simplify: Extracting #7: cost 7 inf + 1786 1554304285.910 * * [misc]simplify: Extracting #8: cost 2 inf + 3936 1554304285.911 * * [misc]simplify: Extracting #9: cost 0 inf + 4964 1554304285.912 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304285.912 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.912 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304285.912 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.918 * * [misc]simplify: iters left: 5 (35 enodes) 1554304285.928 * * [misc]simplify: iters left: 4 (40 enodes) 1554304285.942 * * [misc]simplify: iters left: 3 (42 enodes) 1554304285.954 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.954 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.954 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304285.954 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304285.954 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304285.954 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304285.954 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554304285.954 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554304285.955 * * [misc]simplify: Extracting #8: cost 3 inf + 1706 1554304285.956 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554304285.956 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304285.956 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.957 * * * * [misc]progress: [ 58 / 261 ] simplifiying candidate # 1554304285.957 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.957 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.962 * * [misc]simplify: iters left: 5 (35 enodes) 1554304285.973 * * [misc]simplify: iters left: 4 (40 enodes) 1554304285.985 * * [misc]simplify: iters left: 3 (42 enodes) 1554304285.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304285.993 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304285.993 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304285.993 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304285.993 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304285.993 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304285.993 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554304285.994 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554304285.994 * * [misc]simplify: Extracting #8: cost 3 inf + 1666 1554304285.994 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1554304285.995 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.995 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304285.995 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304285.995 * * [misc]simplify: iters left: 6 (11 enodes) 1554304285.998 * * [misc]simplify: iters left: 5 (35 enodes) 1554304286.003 * * [misc]simplify: iters left: 4 (40 enodes) 1554304286.009 * * [misc]simplify: iters left: 3 (42 enodes) 1554304286.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.015 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.015 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304286.015 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304286.016 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304286.016 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304286.016 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554304286.016 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554304286.016 * * [misc]simplify: Extracting #8: cost 3 inf + 1666 1554304286.016 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1554304286.017 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304286.017 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304286.017 * * * * [misc]progress: [ 59 / 261 ] simplifiying candidate # 1554304286.017 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1554304286.017 * * [misc]simplify: iters left: 4 (5 enodes) 1554304286.019 * * [misc]simplify: iters left: 3 (15 enodes) 1554304286.021 * * [misc]simplify: iters left: 2 (17 enodes) 1554304286.025 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.025 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.025 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304286.025 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1554304286.025 * * [misc]simplify: Extracting #4: cost 1 inf + 165 1554304286.025 * * [misc]simplify: Extracting #5: cost 0 inf + 246 1554304286.025 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554304286.025 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304286.026 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304286.026 * * [misc]simplify: iters left: 6 (10 enodes) 1554304286.028 * * [misc]simplify: iters left: 5 (32 enodes) 1554304286.033 * * [misc]simplify: iters left: 4 (37 enodes) 1554304286.039 * * [misc]simplify: iters left: 3 (39 enodes) 1554304286.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.046 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.046 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304286.046 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304286.046 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304286.046 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304286.046 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554304286.046 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304286.047 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304286.047 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304286.047 * * * * [misc]progress: [ 60 / 261 ] simplifiying candidate # 1554304286.047 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1554304286.047 * * [misc]simplify: iters left: 3 (5 enodes) 1554304286.049 * * [misc]simplify: iters left: 2 (18 enodes) 1554304286.052 * * [misc]simplify: iters left: 1 (20 enodes) 1554304286.055 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.055 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.055 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304286.055 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554304286.055 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1554304286.055 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304286.055 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554304286.055 * * [misc]simplify: iters left: 6 (8 enodes) 1554304286.057 * * [misc]simplify: iters left: 5 (26 enodes) 1554304286.061 * * [misc]simplify: iters left: 4 (28 enodes) 1554304286.065 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.065 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.065 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304286.065 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304286.065 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554304286.065 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554304286.065 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554304286.065 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554304286.065 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554304286.065 * * * * [misc]progress: [ 61 / 261 ] simplifiying candidate # 1554304286.066 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1554304286.066 * * [misc]simplify: iters left: 3 (5 enodes) 1554304286.067 * * [misc]simplify: iters left: 2 (18 enodes) 1554304286.070 * * [misc]simplify: iters left: 1 (20 enodes) 1554304286.073 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.073 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.073 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304286.074 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554304286.074 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1554304286.074 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304286.074 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554304286.074 * * [misc]simplify: iters left: 6 (8 enodes) 1554304286.076 * * [misc]simplify: iters left: 5 (26 enodes) 1554304286.080 * * [misc]simplify: iters left: 4 (28 enodes) 1554304286.084 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.084 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.084 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304286.084 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304286.084 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554304286.084 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554304286.084 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554304286.085 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554304286.085 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt PI)) (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554304286.085 * * * * [misc]progress: [ 62 / 261 ] simplifiying candidate # 1554304286.085 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304286.085 * * [misc]simplify: iters left: 6 (11 enodes) 1554304286.091 * * [misc]simplify: iters left: 5 (39 enodes) 1554304286.104 * * [misc]simplify: iters left: 4 (48 enodes) 1554304286.119 * * [misc]simplify: iters left: 3 (50 enodes) 1554304286.133 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.133 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304286.133 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304286.133 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554304286.134 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304286.134 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554304286.134 * * [misc]simplify: Extracting #6: cost 16 inf + 128 1554304286.134 * * [misc]simplify: Extracting #7: cost 9 inf + 915 1554304286.135 * * [misc]simplify: Extracting #8: cost 5 inf + 2411 1554304286.136 * * [misc]simplify: Extracting #9: cost 0 inf + 4605 1554304286.136 * * [misc]simplify: Extracting #10: cost 0 inf + 4405 1554304286.137 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304286.137 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304286.138 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304286.138 * * [misc]simplify: iters left: 6 (10 enodes) 1554304286.143 * * [misc]simplify: iters left: 5 (32 enodes) 1554304286.152 * * [misc]simplify: iters left: 4 (37 enodes) 1554304286.165 * * [misc]simplify: iters left: 3 (39 enodes) 1554304286.176 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.176 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.176 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304286.176 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304286.176 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554304286.177 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554304286.177 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554304286.177 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554304286.178 * * [misc]simplify: Extracting #8: cost 0 inf + 2826 1554304286.178 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304286.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304286.179 * * * * [misc]progress: [ 63 / 261 ] simplifiying candidate # 1554304286.179 * [enter]simplify: Simplifying (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304286.179 * * [misc]simplify: iters left: 6 (10 enodes) 1554304286.185 * * [misc]simplify: iters left: 5 (34 enodes) 1554304286.196 * * [misc]simplify: iters left: 4 (41 enodes) 1554304286.208 * * [misc]simplify: iters left: 3 (43 enodes) 1554304286.221 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.221 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.221 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304286.221 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554304286.221 * * [misc]simplify: Extracting #4: cost 11 inf + 2 1554304286.221 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554304286.221 * * [misc]simplify: Extracting #6: cost 12 inf + 89 1554304286.221 * * [misc]simplify: Extracting #7: cost 4 inf + 1089 1554304286.222 * * [misc]simplify: Extracting #8: cost 0 inf + 2507 1554304286.223 * [exit]simplify: Simplified to (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304286.223 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304286.223 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304286.223 * * [misc]simplify: iters left: 6 (10 enodes) 1554304286.229 * * [misc]simplify: iters left: 5 (32 enodes) 1554304286.238 * * [misc]simplify: iters left: 4 (37 enodes) 1554304286.249 * * [misc]simplify: iters left: 3 (39 enodes) 1554304286.260 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.260 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.260 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304286.260 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304286.260 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554304286.260 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554304286.260 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554304286.261 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554304286.261 * * [misc]simplify: Extracting #8: cost 0 inf + 2666 1554304286.262 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304286.262 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304286.262 * * * * [misc]progress: [ 64 / 261 ] simplifiying candidate # 1554304286.263 * [enter]simplify: Simplifying (/ 1 1) 1554304286.263 * * [misc]simplify: iters left: 2 (2 enodes) 1554304286.264 * * [misc]simplify: iters left: 1 (6 enodes) 1554304286.266 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.266 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304286.266 * [exit]simplify: Simplified to 1 1554304286.266 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304286.267 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304286.267 * * [misc]simplify: iters left: 6 (9 enodes) 1554304286.272 * * [misc]simplify: iters left: 5 (29 enodes) 1554304286.280 * * [misc]simplify: iters left: 4 (34 enodes) 1554304286.291 * * [misc]simplify: iters left: 3 (36 enodes) 1554304286.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.299 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.299 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304286.299 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304286.299 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304286.299 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554304286.299 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554304286.300 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554304286.300 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304286.300 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304286.300 * * * * [misc]progress: [ 65 / 261 ] simplifiying candidate # 1554304286.300 * * * * [misc]progress: [ 66 / 261 ] simplifiying candidate # 1554304286.300 * * * * [misc]progress: [ 67 / 261 ] simplifiying candidate # 1554304286.300 * * * * [misc]progress: [ 68 / 261 ] simplifiying candidate # 1554304286.300 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554304286.300 * * [misc]simplify: iters left: 5 (6 enodes) 1554304286.302 * * [misc]simplify: iters left: 4 (20 enodes) 1554304286.305 * * [misc]simplify: iters left: 3 (22 enodes) 1554304286.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.308 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.308 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304286.308 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304286.308 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554304286.309 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554304286.309 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554304286.309 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554304286.309 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2)))))) 1554304286.309 * * * * [misc]progress: [ 69 / 261 ] simplifiying candidate # 1554304286.309 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554304286.309 * * [misc]simplify: iters left: 5 (6 enodes) 1554304286.312 * * [misc]simplify: iters left: 4 (20 enodes) 1554304286.315 * * [misc]simplify: iters left: 3 (22 enodes) 1554304286.318 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.318 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.318 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304286.318 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304286.318 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554304286.318 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554304286.319 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554304286.319 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554304286.319 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI 1/2)) (pow PI (- (/ k 2)))))) 1554304286.319 * * * * [misc]progress: [ 70 / 261 ] simplifiying candidate # 1554304286.319 * [enter]simplify: Simplifying (cbrt (pow PI (- 1/2 (/ k 2)))) 1554304286.319 * * [misc]simplify: iters left: 6 (8 enodes) 1554304286.321 * * [misc]simplify: iters left: 5 (26 enodes) 1554304286.326 * * [misc]simplify: iters left: 4 (31 enodes) 1554304286.335 * * [misc]simplify: iters left: 3 (33 enodes) 1554304286.345 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.345 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304286.345 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304286.345 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554304286.345 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554304286.345 * * [misc]simplify: Extracting #5: cost 11 inf + 45 1554304286.345 * * [misc]simplify: Extracting #6: cost 5 inf + 417 1554304286.346 * * [misc]simplify: Extracting #7: cost 1 inf + 1462 1554304286.346 * * [misc]simplify: Extracting #8: cost 0 inf + 1836 1554304286.347 * [exit]simplify: Simplified to (cbrt (pow PI (- 1/2 (/ k 2)))) 1554304286.347 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304286.347 * * * * [misc]progress: [ 71 / 261 ] simplifiying candidate # 1554304286.347 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1554304286.347 * * [misc]simplify: iters left: 6 (8 enodes) 1554304286.352 * * [misc]simplify: iters left: 5 (26 enodes) 1554304286.358 * * [misc]simplify: iters left: 4 (31 enodes) 1554304286.363 * * [misc]simplify: iters left: 3 (33 enodes) 1554304286.368 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.368 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304286.368 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304286.368 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554304286.368 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554304286.368 * * [misc]simplify: Extracting #5: cost 11 inf + 45 1554304286.368 * * [misc]simplify: Extracting #6: cost 5 inf + 417 1554304286.368 * * [misc]simplify: Extracting #7: cost 1 inf + 1422 1554304286.368 * * [misc]simplify: Extracting #8: cost 0 inf + 1756 1554304286.369 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1554304286.369 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1554304286.369 * * * * [misc]progress: [ 72 / 261 ] simplifiying candidate # 1554304286.369 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554304286.369 * * [misc]simplify: iters left: 5 (7 enodes) 1554304286.371 * * [misc]simplify: iters left: 4 (23 enodes) 1554304286.375 * * [misc]simplify: iters left: 3 (28 enodes) 1554304286.379 * * [misc]simplify: iters left: 2 (30 enodes) 1554304286.383 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.383 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.383 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304286.383 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304286.384 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304286.384 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304286.384 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304286.384 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304286.384 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554304286.384 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow PI (- 1/2 (/ k 2)))))) 1554304286.384 * * * * [misc]progress: [ 73 / 261 ] simplifiying candidate # 1554304286.385 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554304286.385 * * [misc]simplify: iters left: 4 (4 enodes) 1554304286.386 * * [misc]simplify: iters left: 3 (12 enodes) 1554304286.390 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.390 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304286.390 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304286.390 * * [misc]simplify: Extracting #3: cost 7 inf + 0 1554304286.390 * * [misc]simplify: Extracting #4: cost 6 inf + 1 1554304286.390 * * [misc]simplify: Extracting #5: cost 0 inf + 647 1554304286.390 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554304286.390 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304286.390 * * * * [misc]progress: [ 74 / 261 ] simplifiying candidate # 1554304286.391 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554304286.391 * * [misc]simplify: iters left: 2 (3 enodes) 1554304286.392 * * [misc]simplify: iters left: 1 (9 enodes) 1554304286.395 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.395 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304286.395 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304286.395 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554304286.395 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554304286.395 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554304286.395 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304286.395 * * * * [misc]progress: [ 75 / 261 ] simplifiying candidate # 1554304286.395 * * * * [misc]progress: [ 76 / 261 ] simplifiying candidate # 1554304286.395 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554304286.395 * * [misc]simplify: iters left: 3 (5 enodes) 1554304286.398 * * [misc]simplify: iters left: 2 (15 enodes) 1554304286.403 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.403 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304286.403 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304286.403 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554304286.403 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554304286.403 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow PI 1/2)) (pow PI (/ k 2))))) 1554304286.403 * * * * [misc]progress: [ 77 / 261 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))> 1554304286.403 * * * * [misc]progress: [ 78 / 261 ] simplifiying candidate # 1554304286.403 * * * * [misc]progress: [ 79 / 261 ] simplifiying candidate # 1554304286.403 * * * * [misc]progress: [ 80 / 261 ] simplifiying candidate # 1554304286.403 * * * * [misc]progress: [ 81 / 261 ] simplifiying candidate # 1554304286.404 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))) 1554304286.404 * * [misc]simplify: iters left: 6 (16 enodes) 1554304286.412 * * [misc]simplify: iters left: 5 (63 enodes) 1554304286.435 * * [misc]simplify: iters left: 4 (114 enodes) 1554304286.482 * * [misc]simplify: iters left: 3 (292 enodes) 1554304286.632 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.632 * * [misc]simplify: Extracting #1: cost 51 inf + 0 1554304286.632 * * [misc]simplify: Extracting #2: cost 196 inf + 1 1554304286.633 * * [misc]simplify: Extracting #3: cost 198 inf + 1083 1554304286.635 * * [misc]simplify: Extracting #4: cost 139 inf + 12962 1554304286.645 * * [misc]simplify: Extracting #5: cost 28 inf + 50471 1554304286.668 * * [misc]simplify: Extracting #6: cost 0 inf + 63423 1554304286.691 * * [misc]simplify: Extracting #7: cost 0 inf + 63375 1554304286.704 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554304286.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554304286.704 * * * * [misc]progress: [ 82 / 261 ] simplifiying candidate # 1554304286.704 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))) 1554304286.705 * * [misc]simplify: iters left: 6 (16 enodes) 1554304286.709 * * [misc]simplify: iters left: 5 (64 enodes) 1554304286.720 * * [misc]simplify: iters left: 4 (110 enodes) 1554304286.748 * * [misc]simplify: iters left: 3 (247 enodes) 1554304286.837 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.837 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1554304286.838 * * [misc]simplify: Extracting #2: cost 182 inf + 1 1554304286.840 * * [misc]simplify: Extracting #3: cost 181 inf + 1205 1554304286.844 * * [misc]simplify: Extracting #4: cost 126 inf + 13072 1554304286.859 * * [misc]simplify: Extracting #5: cost 16 inf + 50355 1554304286.871 * * [misc]simplify: Extracting #6: cost 0 inf + 57519 1554304286.882 * * [misc]simplify: Extracting #7: cost 0 inf + 57415 1554304286.894 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554304286.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554304286.895 * * * * [misc]progress: [ 83 / 261 ] simplifiying candidate # 1554304286.895 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304286.895 * * [misc]simplify: iters left: 6 (15 enodes) 1554304286.903 * * [misc]simplify: iters left: 5 (58 enodes) 1554304286.921 * * [misc]simplify: iters left: 4 (94 enodes) 1554304286.941 * * [misc]simplify: iters left: 3 (203 enodes) 1554304286.995 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304286.995 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1554304286.996 * * [misc]simplify: Extracting #2: cost 131 inf + 1 1554304286.996 * * [misc]simplify: Extracting #3: cost 148 inf + 563 1554304286.997 * * [misc]simplify: Extracting #4: cost 122 inf + 3111 1554304287.001 * * [misc]simplify: Extracting #5: cost 51 inf + 25813 1554304287.010 * * [misc]simplify: Extracting #6: cost 2 inf + 46012 1554304287.019 * * [misc]simplify: Extracting #7: cost 0 inf + 45240 1554304287.035 * [exit]simplify: Simplified to (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554304287.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1554304287.036 * * * * [misc]progress: [ 84 / 261 ] simplifiying candidate # 1554304287.036 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))) 1554304287.036 * * [misc]simplify: iters left: 6 (16 enodes) 1554304287.045 * * [misc]simplify: iters left: 5 (63 enodes) 1554304287.057 * * [misc]simplify: iters left: 4 (114 enodes) 1554304287.083 * * [misc]simplify: iters left: 3 (292 enodes) 1554304287.183 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304287.183 * * [misc]simplify: Extracting #1: cost 51 inf + 0 1554304287.183 * * [misc]simplify: Extracting #2: cost 196 inf + 1 1554304287.184 * * [misc]simplify: Extracting #3: cost 198 inf + 1083 1554304287.187 * * [misc]simplify: Extracting #4: cost 139 inf + 12962 1554304287.196 * * [misc]simplify: Extracting #5: cost 28 inf + 50471 1554304287.209 * * [misc]simplify: Extracting #6: cost 0 inf + 63423 1554304287.234 * * [misc]simplify: Extracting #7: cost 0 inf + 63375 1554304287.250 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554304287.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554304287.251 * * * * [misc]progress: [ 85 / 261 ] simplifiying candidate # 1554304287.251 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))) 1554304287.251 * * [misc]simplify: iters left: 6 (16 enodes) 1554304287.255 * * [misc]simplify: iters left: 5 (64 enodes) 1554304287.265 * * [misc]simplify: iters left: 4 (110 enodes) 1554304287.287 * * [misc]simplify: iters left: 3 (247 enodes) 1554304287.372 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304287.372 * * [misc]simplify: Extracting #1: cost 50 inf + 0 1554304287.373 * * [misc]simplify: Extracting #2: cost 182 inf + 1 1554304287.374 * * [misc]simplify: Extracting #3: cost 181 inf + 1205 1554304287.378 * * [misc]simplify: Extracting #4: cost 126 inf + 13072 1554304287.397 * * [misc]simplify: Extracting #5: cost 16 inf + 50355 1554304287.423 * * [misc]simplify: Extracting #6: cost 0 inf + 57519 1554304287.445 * * [misc]simplify: Extracting #7: cost 0 inf + 57415 1554304287.468 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554304287.468 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554304287.468 * * * * [misc]progress: [ 86 / 261 ] simplifiying candidate # 1554304287.468 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304287.469 * * [misc]simplify: iters left: 6 (15 enodes) 1554304287.477 * * [misc]simplify: iters left: 5 (58 enodes) 1554304287.495 * * [misc]simplify: iters left: 4 (94 enodes) 1554304287.530 * * [misc]simplify: iters left: 3 (203 enodes) 1554304287.603 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304287.603 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1554304287.603 * * [misc]simplify: Extracting #2: cost 131 inf + 1 1554304287.604 * * [misc]simplify: Extracting #3: cost 148 inf + 563 1554304287.606 * * [misc]simplify: Extracting #4: cost 122 inf + 3111 1554304287.614 * * [misc]simplify: Extracting #5: cost 51 inf + 25813 1554304287.631 * * [misc]simplify: Extracting #6: cost 2 inf + 46012 1554304287.648 * * [misc]simplify: Extracting #7: cost 0 inf + 45240 1554304287.669 * [exit]simplify: Simplified to (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554304287.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1554304287.670 * * * * [misc]progress: [ 87 / 261 ] simplifiying candidate # 1554304287.670 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))) 1554304287.670 * * [misc]simplify: iters left: 6 (16 enodes) 1554304287.678 * * [misc]simplify: iters left: 5 (60 enodes) 1554304287.698 * * [misc]simplify: iters left: 4 (100 enodes) 1554304287.726 * * [misc]simplify: iters left: 3 (204 enodes) 1554304287.795 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304287.795 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1554304287.796 * * [misc]simplify: Extracting #2: cost 132 inf + 1 1554304287.797 * * [misc]simplify: Extracting #3: cost 137 inf + 704 1554304287.798 * * [misc]simplify: Extracting #4: cost 115 inf + 3200 1554304287.803 * * [misc]simplify: Extracting #5: cost 50 inf + 21071 1554304287.809 * * [misc]simplify: Extracting #6: cost 2 inf + 35182 1554304287.817 * * [misc]simplify: Extracting #7: cost 0 inf + 35775 1554304287.824 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554304287.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554304287.824 * * * * [misc]progress: [ 88 / 261 ] simplifiying candidate # 1554304287.824 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))) 1554304287.824 * * [misc]simplify: iters left: 6 (16 enodes) 1554304287.832 * * [misc]simplify: iters left: 5 (61 enodes) 1554304287.853 * * [misc]simplify: iters left: 4 (96 enodes) 1554304287.886 * * [misc]simplify: iters left: 3 (159 enodes) 1554304287.933 * * [misc]simplify: iters left: 2 (445 enodes) 1554304288.189 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304288.190 * * [misc]simplify: Extracting #1: cost 92 inf + 0 1554304288.193 * * [misc]simplify: Extracting #2: cost 412 inf + 1 1554304288.197 * * [misc]simplify: Extracting #3: cost 410 inf + 1895 1554304288.211 * * [misc]simplify: Extracting #4: cost 268 inf + 43920 1554304288.263 * * [misc]simplify: Extracting #5: cost 18 inf + 146259 1554304288.331 * * [misc]simplify: Extracting #6: cost 0 inf + 154505 1554304288.394 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304288.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1554304288.394 * * * * [misc]progress: [ 89 / 261 ] simplifiying candidate # 1554304288.395 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304288.395 * * [misc]simplify: iters left: 6 (15 enodes) 1554304288.402 * * [misc]simplify: iters left: 5 (55 enodes) 1554304288.418 * * [misc]simplify: iters left: 4 (81 enodes) 1554304288.432 * * [misc]simplify: iters left: 3 (123 enodes) 1554304288.467 * * [misc]simplify: iters left: 2 (291 enodes) 1554304288.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304288.606 * * [misc]simplify: Extracting #1: cost 68 inf + 0 1554304288.607 * * [misc]simplify: Extracting #2: cost 202 inf + 1 1554304288.607 * * [misc]simplify: Extracting #3: cost 205 inf + 311 1554304288.609 * * [misc]simplify: Extracting #4: cost 153 inf + 10017 1554304288.619 * * [misc]simplify: Extracting #5: cost 35 inf + 51958 1554304288.633 * * [misc]simplify: Extracting #6: cost 0 inf + 66832 1554304288.655 * * [misc]simplify: Extracting #7: cost 0 inf + 66739 1554304288.669 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554304288.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1554304288.669 * * * * [misc]progress: [ 90 / 261 ] simplifiying candidate # 1554304288.669 * * * * [misc]progress: [ 91 / 261 ] simplifiying candidate # 1554304288.669 * * * * [misc]progress: [ 92 / 261 ] simplifiying candidate # 1554304288.669 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1554304288.669 * * [misc]simplify: iters left: 6 (19 enodes) 1554304288.674 * * [misc]simplify: iters left: 5 (72 enodes) 1554304288.691 * * [misc]simplify: iters left: 4 (169 enodes) 1554304288.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304288.750 * * [misc]simplify: Extracting #1: cost 80 inf + 0 1554304288.751 * * [misc]simplify: Extracting #2: cost 186 inf + 1 1554304288.753 * * [misc]simplify: Extracting #3: cost 193 inf + 247 1554304288.754 * * [misc]simplify: Extracting #4: cost 190 inf + 376 1554304288.759 * * [misc]simplify: Extracting #5: cost 140 inf + 23362 1554304288.783 * * [misc]simplify: Extracting #6: cost 24 inf + 93103 1554304288.818 * * [misc]simplify: Extracting #7: cost 0 inf + 109950 1554304288.835 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ k (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1554304288.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ k (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))) 1554304288.835 * * * * [misc]progress: [ 93 / 261 ] simplifiying candidate # 1554304288.835 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304288.835 * * [misc]simplify: iters left: 6 (17 enodes) 1554304288.840 * * [misc]simplify: iters left: 5 (69 enodes) 1554304288.859 * * [misc]simplify: iters left: 4 (146 enodes) 1554304288.889 * * [misc]simplify: iters left: 3 (367 enodes) 1554304289.075 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.075 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1554304289.076 * * [misc]simplify: Extracting #2: cost 231 inf + 1 1554304289.077 * * [misc]simplify: Extracting #3: cost 238 inf + 44 1554304289.079 * * [misc]simplify: Extracting #4: cost 233 inf + 334 1554304289.087 * * [misc]simplify: Extracting #5: cost 174 inf + 32712 1554304289.115 * * [misc]simplify: Extracting #6: cost 34 inf + 121155 1554304289.154 * * [misc]simplify: Extracting #7: cost 0 inf + 142124 1554304289.190 * * [misc]simplify: Extracting #8: cost 0 inf + 142084 1554304289.226 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304289.226 * * * * [misc]progress: [ 94 / 261 ] simplifiying candidate # 1554304289.227 * * * * [misc]progress: [ 95 / 261 ] simplifiying candidate # 1554304289.227 * * * * [misc]progress: [ 96 / 261 ] simplifiying candidate # 1554304289.227 * * * * [misc]progress: [ 97 / 261 ] simplifiying candidate # 1554304289.227 * * * * [misc]progress: [ 98 / 261 ] simplifiying candidate # 1554304289.227 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304289.227 * * [misc]simplify: iters left: 6 (15 enodes) 1554304289.231 * * [misc]simplify: iters left: 5 (51 enodes) 1554304289.244 * * [misc]simplify: iters left: 4 (58 enodes) 1554304289.261 * * [misc]simplify: iters left: 3 (60 enodes) 1554304289.280 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.280 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304289.280 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304289.280 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304289.280 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554304289.281 * * [misc]simplify: Extracting #5: cost 19 inf + 171 1554304289.281 * * [misc]simplify: Extracting #6: cost 17 inf + 460 1554304289.282 * * [misc]simplify: Extracting #7: cost 8 inf + 3193 1554304289.283 * * [misc]simplify: Extracting #8: cost 0 inf + 6443 1554304289.284 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304289.285 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.285 * * [misc]simplify: iters left: 6 (15 enodes) 1554304289.292 * * [misc]simplify: iters left: 5 (49 enodes) 1554304289.306 * * [misc]simplify: iters left: 4 (52 enodes) 1554304289.321 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.322 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304289.322 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304289.322 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304289.322 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554304289.322 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554304289.322 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554304289.323 * * [misc]simplify: Extracting #7: cost 3 inf + 3123 1554304289.324 * * [misc]simplify: Extracting #8: cost 0 inf + 5147 1554304289.325 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304289.325 * * * * [misc]progress: [ 99 / 261 ] simplifiying candidate # 1554304289.326 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.326 * * [misc]simplify: iters left: 6 (14 enodes) 1554304289.333 * * [misc]simplify: iters left: 5 (46 enodes) 1554304289.347 * * [misc]simplify: iters left: 4 (51 enodes) 1554304289.359 * * [misc]simplify: iters left: 3 (53 enodes) 1554304289.367 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.367 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304289.367 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304289.367 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304289.367 * * [misc]simplify: Extracting #4: cost 17 inf + 3 1554304289.367 * * [misc]simplify: Extracting #5: cost 16 inf + 129 1554304289.367 * * [misc]simplify: Extracting #6: cost 12 inf + 584 1554304289.368 * * [misc]simplify: Extracting #7: cost 3 inf + 3075 1554304289.368 * * [misc]simplify: Extracting #8: cost 0 inf + 4065 1554304289.369 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304289.369 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.369 * * [misc]simplify: iters left: 6 (15 enodes) 1554304289.372 * * [misc]simplify: iters left: 5 (49 enodes) 1554304289.380 * * [misc]simplify: iters left: 4 (52 enodes) 1554304289.388 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.389 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304289.389 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304289.389 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304289.389 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554304289.389 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554304289.389 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554304289.390 * * [misc]simplify: Extracting #7: cost 3 inf + 3083 1554304289.391 * * [misc]simplify: Extracting #8: cost 0 inf + 4987 1554304289.392 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304289.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304289.392 * * * * [misc]progress: [ 100 / 261 ] simplifiying candidate # 1554304289.393 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304289.393 * * [misc]simplify: iters left: 6 (13 enodes) 1554304289.396 * * [misc]simplify: iters left: 5 (46 enodes) 1554304289.404 * * [misc]simplify: iters left: 4 (58 enodes) 1554304289.413 * * [misc]simplify: iters left: 3 (77 enodes) 1554304289.430 * * [misc]simplify: iters left: 2 (83 enodes) 1554304289.451 * * [misc]simplify: iters left: 1 (91 enodes) 1554304289.476 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.476 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304289.476 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304289.476 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304289.477 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554304289.477 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554304289.479 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554304289.481 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554304289.483 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554304289.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304289.484 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304289.484 * * [misc]simplify: iters left: 6 (13 enodes) 1554304289.491 * * [misc]simplify: iters left: 5 (44 enodes) 1554304289.504 * * [misc]simplify: iters left: 4 (51 enodes) 1554304289.514 * * [misc]simplify: iters left: 3 (55 enodes) 1554304289.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.522 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304289.523 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304289.523 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304289.523 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554304289.523 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554304289.523 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554304289.524 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554304289.525 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554304289.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1554304289.525 * * * * [misc]progress: [ 101 / 261 ] simplifiying candidate # 1554304289.525 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304289.525 * * [misc]simplify: iters left: 6 (13 enodes) 1554304289.528 * * [misc]simplify: iters left: 5 (46 enodes) 1554304289.535 * * [misc]simplify: iters left: 4 (58 enodes) 1554304289.550 * * [misc]simplify: iters left: 3 (77 enodes) 1554304289.572 * * [misc]simplify: iters left: 2 (83 enodes) 1554304289.585 * * [misc]simplify: iters left: 1 (91 enodes) 1554304289.596 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.597 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304289.597 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304289.597 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304289.597 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554304289.597 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554304289.598 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554304289.599 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554304289.600 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554304289.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304289.600 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304289.600 * * [misc]simplify: iters left: 6 (13 enodes) 1554304289.603 * * [misc]simplify: iters left: 5 (44 enodes) 1554304289.610 * * [misc]simplify: iters left: 4 (51 enodes) 1554304289.619 * * [misc]simplify: iters left: 3 (55 enodes) 1554304289.626 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.626 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304289.626 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304289.626 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304289.626 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554304289.626 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554304289.627 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554304289.628 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554304289.628 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554304289.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1554304289.628 * * * * [misc]progress: [ 102 / 261 ] simplifiying candidate # 1554304289.629 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304289.629 * * [misc]simplify: iters left: 6 (17 enodes) 1554304289.636 * * [misc]simplify: iters left: 5 (63 enodes) 1554304289.645 * * [misc]simplify: iters left: 4 (97 enodes) 1554304289.660 * * [misc]simplify: iters left: 3 (136 enodes) 1554304289.696 * * [misc]simplify: iters left: 2 (166 enodes) 1554304289.741 * * [misc]simplify: iters left: 1 (200 enodes) 1554304289.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.771 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554304289.771 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554304289.771 * * [misc]simplify: Extracting #3: cost 62 inf + 1 1554304289.772 * * [misc]simplify: Extracting #4: cost 57 inf + 449 1554304289.773 * * [misc]simplify: Extracting #5: cost 30 inf + 10699 1554304289.776 * * [misc]simplify: Extracting #6: cost 3 inf + 24432 1554304289.781 * * [misc]simplify: Extracting #7: cost 0 inf + 25621 1554304289.785 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304289.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304289.785 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304289.785 * * [misc]simplify: iters left: 6 (16 enodes) 1554304289.789 * * [misc]simplify: iters left: 5 (54 enodes) 1554304289.799 * * [misc]simplify: iters left: 4 (62 enodes) 1554304289.808 * * [misc]simplify: iters left: 3 (66 enodes) 1554304289.816 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.816 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304289.817 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304289.817 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304289.817 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554304289.817 * * [misc]simplify: Extracting #5: cost 8 inf + 3761 1554304289.818 * * [misc]simplify: Extracting #6: cost 2 inf + 6655 1554304289.818 * * [misc]simplify: Extracting #7: cost 0 inf + 8105 1554304289.819 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304289.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304289.819 * * * * [misc]progress: [ 103 / 261 ] simplifiying candidate # 1554304289.820 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304289.820 * * [misc]simplify: iters left: 6 (16 enodes) 1554304289.824 * * [misc]simplify: iters left: 5 (56 enodes) 1554304289.832 * * [misc]simplify: iters left: 4 (73 enodes) 1554304289.842 * * [misc]simplify: iters left: 3 (94 enodes) 1554304289.856 * * [misc]simplify: iters left: 2 (100 enodes) 1554304289.868 * * [misc]simplify: iters left: 1 (108 enodes) 1554304289.883 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.883 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304289.883 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304289.884 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554304289.884 * * [misc]simplify: Extracting #4: cost 39 inf + 5 1554304289.884 * * [misc]simplify: Extracting #5: cost 25 inf + 2311 1554304289.885 * * [misc]simplify: Extracting #6: cost 3 inf + 10793 1554304289.887 * * [misc]simplify: Extracting #7: cost 0 inf + 11532 1554304289.888 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554304289.888 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304289.889 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304289.889 * * [misc]simplify: iters left: 6 (16 enodes) 1554304289.893 * * [misc]simplify: iters left: 5 (54 enodes) 1554304289.901 * * [misc]simplify: iters left: 4 (62 enodes) 1554304289.909 * * [misc]simplify: iters left: 3 (66 enodes) 1554304289.919 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304289.919 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304289.919 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304289.919 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304289.919 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554304289.919 * * [misc]simplify: Extracting #5: cost 8 inf + 3681 1554304289.920 * * [misc]simplify: Extracting #6: cost 2 inf + 6415 1554304289.921 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554304289.921 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304289.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304289.922 * * * * [misc]progress: [ 104 / 261 ] simplifiying candidate # 1554304289.922 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554304289.922 * * [misc]simplify: iters left: 6 (12 enodes) 1554304289.926 * * [misc]simplify: iters left: 5 (42 enodes) 1554304289.938 * * [misc]simplify: iters left: 4 (57 enodes) 1554304289.955 * * [misc]simplify: iters left: 3 (68 enodes) 1554304289.976 * * [misc]simplify: iters left: 2 (75 enodes) 1554304289.998 * * [misc]simplify: iters left: 1 (88 enodes) 1554304290.025 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.025 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304290.026 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554304290.026 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554304290.026 * * [misc]simplify: Extracting #4: cost 23 inf + 5 1554304290.026 * * [misc]simplify: Extracting #5: cost 11 inf + 1670 1554304290.028 * * [misc]simplify: Extracting #6: cost 2 inf + 3448 1554304290.029 * * [misc]simplify: Extracting #7: cost 0 inf + 3933 1554304290.031 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554304290.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304290.031 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304290.032 * * [misc]simplify: iters left: 6 (15 enodes) 1554304290.039 * * [misc]simplify: iters left: 5 (51 enodes) 1554304290.054 * * [misc]simplify: iters left: 4 (59 enodes) 1554304290.071 * * [misc]simplify: iters left: 3 (63 enodes) 1554304290.090 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.090 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.090 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304290.090 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304290.090 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1554304290.091 * * [misc]simplify: Extracting #5: cost 8 inf + 3304 1554304290.092 * * [misc]simplify: Extracting #6: cost 1 inf + 6372 1554304290.093 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554304290.094 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554304290.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304290.095 * * * * [misc]progress: [ 105 / 261 ] simplifiying candidate # 1554304290.095 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304290.095 * * [misc]simplify: iters left: 6 (12 enodes) 1554304290.101 * * [misc]simplify: iters left: 5 (41 enodes) 1554304290.113 * * [misc]simplify: iters left: 4 (46 enodes) 1554304290.128 * * [misc]simplify: iters left: 3 (50 enodes) 1554304290.135 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.135 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.135 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.135 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554304290.135 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554304290.135 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554304290.136 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554304290.136 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554304290.136 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554304290.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304290.137 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304290.137 * * [misc]simplify: iters left: 6 (13 enodes) 1554304290.140 * * [misc]simplify: iters left: 5 (44 enodes) 1554304290.146 * * [misc]simplify: iters left: 4 (51 enodes) 1554304290.153 * * [misc]simplify: iters left: 3 (55 enodes) 1554304290.160 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.161 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.161 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.161 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304290.161 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554304290.161 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554304290.161 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554304290.162 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554304290.163 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554304290.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1554304290.163 * * * * [misc]progress: [ 106 / 261 ] simplifiying candidate # 1554304290.163 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304290.163 * * [misc]simplify: iters left: 6 (12 enodes) 1554304290.166 * * [misc]simplify: iters left: 5 (41 enodes) 1554304290.172 * * [misc]simplify: iters left: 4 (46 enodes) 1554304290.179 * * [misc]simplify: iters left: 3 (50 enodes) 1554304290.185 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.185 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.185 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.185 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554304290.185 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554304290.186 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554304290.186 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554304290.186 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554304290.187 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554304290.187 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304290.187 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304290.187 * * [misc]simplify: iters left: 6 (13 enodes) 1554304290.190 * * [misc]simplify: iters left: 5 (44 enodes) 1554304290.197 * * [misc]simplify: iters left: 4 (51 enodes) 1554304290.205 * * [misc]simplify: iters left: 3 (55 enodes) 1554304290.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.213 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.213 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.213 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304290.213 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554304290.213 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554304290.213 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554304290.214 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554304290.215 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554304290.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1554304290.215 * * * * [misc]progress: [ 107 / 261 ] simplifiying candidate # 1554304290.215 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304290.215 * * [misc]simplify: iters left: 6 (16 enodes) 1554304290.221 * * [misc]simplify: iters left: 5 (56 enodes) 1554304290.238 * * [misc]simplify: iters left: 4 (72 enodes) 1554304290.259 * * [misc]simplify: iters left: 3 (86 enodes) 1554304290.282 * * [misc]simplify: iters left: 2 (94 enodes) 1554304290.295 * * [misc]simplify: iters left: 1 (100 enodes) 1554304290.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.307 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554304290.307 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554304290.308 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554304290.308 * * [misc]simplify: Extracting #4: cost 36 inf + 5 1554304290.308 * * [misc]simplify: Extracting #5: cost 30 inf + 539 1554304290.308 * * [misc]simplify: Extracting #6: cost 18 inf + 3791 1554304290.310 * * [misc]simplify: Extracting #7: cost 2 inf + 10786 1554304290.314 * * [misc]simplify: Extracting #8: cost 0 inf + 11855 1554304290.319 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554304290.319 * [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 (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304290.319 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.319 * * [misc]simplify: iters left: 6 (16 enodes) 1554304290.327 * * [misc]simplify: iters left: 5 (54 enodes) 1554304290.340 * * [misc]simplify: iters left: 4 (62 enodes) 1554304290.349 * * [misc]simplify: iters left: 3 (66 enodes) 1554304290.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.357 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.357 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.357 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304290.358 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554304290.358 * * [misc]simplify: Extracting #5: cost 8 inf + 3601 1554304290.358 * * [misc]simplify: Extracting #6: cost 2 inf + 6375 1554304290.359 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554304290.360 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304290.360 * [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 (* n 2)))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304290.360 * * * * [misc]progress: [ 108 / 261 ] simplifiying candidate # 1554304290.360 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.361 * * [misc]simplify: iters left: 6 (15 enodes) 1554304290.364 * * [misc]simplify: iters left: 5 (51 enodes) 1554304290.378 * * [misc]simplify: iters left: 4 (61 enodes) 1554304290.396 * * [misc]simplify: iters left: 3 (67 enodes) 1554304290.415 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.415 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.415 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.416 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304290.416 * * [misc]simplify: Extracting #4: cost 24 inf + 5 1554304290.416 * * [misc]simplify: Extracting #5: cost 19 inf + 579 1554304290.417 * * [misc]simplify: Extracting #6: cost 8 inf + 2440 1554304290.418 * * [misc]simplify: Extracting #7: cost 0 inf + 5623 1554304290.420 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) 1554304290.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304290.420 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.420 * * [misc]simplify: iters left: 6 (16 enodes) 1554304290.427 * * [misc]simplify: iters left: 5 (54 enodes) 1554304290.437 * * [misc]simplify: iters left: 4 (62 enodes) 1554304290.445 * * [misc]simplify: iters left: 3 (66 enodes) 1554304290.454 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.454 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.454 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.454 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304290.454 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554304290.455 * * [misc]simplify: Extracting #5: cost 8 inf + 3521 1554304290.455 * * [misc]simplify: Extracting #6: cost 2 inf + 6135 1554304290.456 * * [misc]simplify: Extracting #7: cost 0 inf + 7465 1554304290.457 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304290.457 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304290.457 * * * * [misc]progress: [ 109 / 261 ] simplifiying candidate # 1554304290.458 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) 1554304290.458 * * [misc]simplify: iters left: 6 (11 enodes) 1554304290.461 * * [misc]simplify: iters left: 5 (37 enodes) 1554304290.466 * * [misc]simplify: iters left: 4 (41 enodes) 1554304290.472 * * [misc]simplify: iters left: 3 (44 enodes) 1554304290.478 * * [misc]simplify: iters left: 2 (45 enodes) 1554304290.484 * * [misc]simplify: iters left: 1 (47 enodes) 1554304290.496 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.497 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304290.497 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304290.497 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554304290.497 * * [misc]simplify: Extracting #4: cost 12 inf + 5 1554304290.497 * * [misc]simplify: Extracting #5: cost 3 inf + 700 1554304290.498 * * [misc]simplify: Extracting #6: cost 0 inf + 1309 1554304290.498 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304290.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304290.499 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304290.499 * * [misc]simplify: iters left: 6 (15 enodes) 1554304290.506 * * [misc]simplify: iters left: 5 (51 enodes) 1554304290.522 * * [misc]simplify: iters left: 4 (59 enodes) 1554304290.538 * * [misc]simplify: iters left: 3 (63 enodes) 1554304290.558 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.559 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.559 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304290.559 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304290.559 * * [misc]simplify: Extracting #4: cost 22 inf + 250 1554304290.560 * * [misc]simplify: Extracting #5: cost 8 inf + 3104 1554304290.561 * * [misc]simplify: Extracting #6: cost 1 inf + 6052 1554304290.562 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554304290.564 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554304290.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304290.564 * * * * [misc]progress: [ 110 / 261 ] simplifiying candidate # 1554304290.564 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554304290.564 * * [misc]simplify: iters left: 5 (10 enodes) 1554304290.570 * * [misc]simplify: iters left: 4 (37 enodes) 1554304290.582 * * [misc]simplify: iters left: 3 (40 enodes) 1554304290.594 * * [misc]simplify: iters left: 2 (47 enodes) 1554304290.607 * * [misc]simplify: iters left: 1 (48 enodes) 1554304290.620 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.620 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304290.620 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304290.620 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554304290.620 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554304290.621 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554304290.621 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554304290.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304290.622 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304290.622 * * [misc]simplify: iters left: 6 (12 enodes) 1554304290.628 * * [misc]simplify: iters left: 5 (41 enodes) 1554304290.641 * * [misc]simplify: iters left: 4 (48 enodes) 1554304290.649 * * [misc]simplify: iters left: 3 (52 enodes) 1554304290.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.656 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.656 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.656 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554304290.656 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554304290.657 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554304290.657 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554304290.658 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554304290.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))))) 1554304290.658 * * * * [misc]progress: [ 111 / 261 ] simplifiying candidate # 1554304290.658 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554304290.658 * * [misc]simplify: iters left: 5 (10 enodes) 1554304290.661 * * [misc]simplify: iters left: 4 (37 enodes) 1554304290.666 * * [misc]simplify: iters left: 3 (40 enodes) 1554304290.674 * * [misc]simplify: iters left: 2 (47 enodes) 1554304290.688 * * [misc]simplify: iters left: 1 (48 enodes) 1554304290.700 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.700 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304290.700 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304290.700 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554304290.701 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554304290.701 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554304290.702 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554304290.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304290.702 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304290.702 * * [misc]simplify: iters left: 6 (12 enodes) 1554304290.708 * * [misc]simplify: iters left: 5 (41 enodes) 1554304290.720 * * [misc]simplify: iters left: 4 (48 enodes) 1554304290.734 * * [misc]simplify: iters left: 3 (52 enodes) 1554304290.746 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.747 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.747 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.747 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554304290.747 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554304290.747 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554304290.748 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554304290.748 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554304290.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))))) 1554304290.749 * * * * [misc]progress: [ 112 / 261 ] simplifiying candidate # 1554304290.749 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304290.749 * * [misc]simplify: iters left: 6 (15 enodes) 1554304290.753 * * [misc]simplify: iters left: 5 (55 enodes) 1554304290.761 * * [misc]simplify: iters left: 4 (69 enodes) 1554304290.772 * * [misc]simplify: iters left: 3 (86 enodes) 1554304290.788 * * [misc]simplify: iters left: 2 (95 enodes) 1554304290.803 * * [misc]simplify: iters left: 1 (118 enodes) 1554304290.827 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.827 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304290.827 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304290.827 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554304290.827 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554304290.828 * * [misc]simplify: Extracting #5: cost 25 inf + 417 1554304290.828 * * [misc]simplify: Extracting #6: cost 22 inf + 583 1554304290.829 * * [misc]simplify: Extracting #7: cost 17 inf + 913 1554304290.829 * * [misc]simplify: Extracting #8: cost 12 inf + 2372 1554304290.832 * * [misc]simplify: Extracting #9: cost 1 inf + 7497 1554304290.834 * * [misc]simplify: Extracting #10: cost 0 inf + 8032 1554304290.837 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1554304290.837 * [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))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304290.838 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.838 * * [misc]simplify: iters left: 6 (15 enodes) 1554304290.845 * * [misc]simplify: iters left: 5 (51 enodes) 1554304290.860 * * [misc]simplify: iters left: 4 (59 enodes) 1554304290.877 * * [misc]simplify: iters left: 3 (63 enodes) 1554304290.894 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.894 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304290.895 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304290.895 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304290.895 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554304290.895 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554304290.896 * * [misc]simplify: Extracting #6: cost 7 inf + 3281 1554304290.897 * * [misc]simplify: Extracting #7: cost 1 inf + 6798 1554304290.899 * * [misc]simplify: Extracting #8: cost 0 inf + 7543 1554304290.900 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.901 * [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))) (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304290.901 * * * * [misc]progress: [ 113 / 261 ] simplifiying candidate # 1554304290.901 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.901 * * [misc]simplify: iters left: 6 (14 enodes) 1554304290.908 * * [misc]simplify: iters left: 5 (50 enodes) 1554304290.920 * * [misc]simplify: iters left: 4 (58 enodes) 1554304290.929 * * [misc]simplify: iters left: 3 (67 enodes) 1554304290.938 * * [misc]simplify: iters left: 2 (68 enodes) 1554304290.955 * * [misc]simplify: iters left: 1 (70 enodes) 1554304290.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304290.972 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304290.972 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304290.973 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304290.973 * * [misc]simplify: Extracting #4: cost 18 inf + 5 1554304290.973 * * [misc]simplify: Extracting #5: cost 16 inf + 499 1554304290.973 * * [misc]simplify: Extracting #6: cost 13 inf + 666 1554304290.974 * * [misc]simplify: Extracting #7: cost 2 inf + 3082 1554304290.975 * * [misc]simplify: Extracting #8: cost 0 inf + 3912 1554304290.976 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1554304290.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304290.977 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304290.977 * * [misc]simplify: iters left: 6 (15 enodes) 1554304290.980 * * [misc]simplify: iters left: 5 (51 enodes) 1554304290.988 * * [misc]simplify: iters left: 4 (59 enodes) 1554304290.996 * * [misc]simplify: iters left: 3 (63 enodes) 1554304291.005 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.005 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.005 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304291.005 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304291.005 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554304291.006 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554304291.006 * * [misc]simplify: Extracting #6: cost 7 inf + 3201 1554304291.008 * * [misc]simplify: Extracting #7: cost 1 inf + 6518 1554304291.009 * * [misc]simplify: Extracting #8: cost 0 inf + 7223 1554304291.011 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304291.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304291.011 * * * * [misc]progress: [ 114 / 261 ] simplifiying candidate # 1554304291.011 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 1)) 1554304291.012 * * [misc]simplify: iters left: 5 (8 enodes) 1554304291.019 * * [misc]simplify: iters left: 4 (26 enodes) 1554304291.027 * * [misc]simplify: iters left: 3 (28 enodes) 1554304291.036 * * [misc]simplify: iters left: 2 (30 enodes) 1554304291.044 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.044 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304291.044 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304291.044 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304291.044 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304291.045 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304291.045 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304291.045 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304291.045 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304291.045 * * [misc]simplify: iters left: 6 (14 enodes) 1554304291.053 * * [misc]simplify: iters left: 5 (48 enodes) 1554304291.068 * * [misc]simplify: iters left: 4 (56 enodes) 1554304291.084 * * [misc]simplify: iters left: 3 (60 enodes) 1554304291.092 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.092 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.092 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304291.092 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554304291.092 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554304291.093 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554304291.093 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554304291.094 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554304291.095 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554304291.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))))) 1554304291.095 * * * * [misc]progress: [ 115 / 261 ] simplifiying candidate # 1554304291.095 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554304291.095 * * [misc]simplify: iters left: 5 (7 enodes) 1554304291.097 * * [misc]simplify: iters left: 4 (23 enodes) 1554304291.101 * * [misc]simplify: iters left: 3 (27 enodes) 1554304291.105 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.105 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304291.105 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304291.105 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304291.106 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304291.106 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304291.106 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304291.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304291.106 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304291.106 * * [misc]simplify: iters left: 6 (14 enodes) 1554304291.109 * * [misc]simplify: iters left: 5 (48 enodes) 1554304291.119 * * [misc]simplify: iters left: 4 (56 enodes) 1554304291.136 * * [misc]simplify: iters left: 3 (60 enodes) 1554304291.155 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.155 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.155 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304291.155 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554304291.155 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554304291.156 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554304291.157 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554304291.158 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554304291.160 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554304291.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))))) 1554304291.160 * * * * [misc]progress: [ 116 / 261 ] simplifiying candidate # 1554304291.160 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt k)) 1554304291.161 * * [misc]simplify: iters left: 5 (8 enodes) 1554304291.165 * * [misc]simplify: iters left: 4 (26 enodes) 1554304291.173 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.173 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304291.173 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304291.174 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554304291.174 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1554304291.174 * * [misc]simplify: Extracting #5: cost 1 inf + 497 1554304291.174 * * [misc]simplify: Extracting #6: cost 0 inf + 660 1554304291.174 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554304291.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304291.175 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304291.175 * * [misc]simplify: iters left: 6 (14 enodes) 1554304291.183 * * [misc]simplify: iters left: 5 (50 enodes) 1554304291.200 * * [misc]simplify: iters left: 4 (56 enodes) 1554304291.217 * * [misc]simplify: iters left: 3 (63 enodes) 1554304291.234 * * [misc]simplify: iters left: 2 (64 enodes) 1554304291.252 * * [misc]simplify: iters left: 1 (66 enodes) 1554304291.268 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.268 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304291.269 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304291.269 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554304291.269 * * [misc]simplify: Extracting #4: cost 21 inf + 5 1554304291.269 * * [misc]simplify: Extracting #5: cost 15 inf + 255 1554304291.270 * * [misc]simplify: Extracting #6: cost 3 inf + 3174 1554304291.271 * * [misc]simplify: Extracting #7: cost 0 inf + 4508 1554304291.272 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2)))) 1554304291.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2)))))) 1554304291.272 * * * * [misc]progress: [ 117 / 261 ] simplifiying candidate # 1554304291.273 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) 1554304291.273 * * [misc]simplify: iters left: 5 (11 enodes) 1554304291.278 * * [misc]simplify: iters left: 4 (38 enodes) 1554304291.290 * * [misc]simplify: iters left: 3 (43 enodes) 1554304291.303 * * [misc]simplify: iters left: 2 (47 enodes) 1554304291.318 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.318 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.318 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304291.318 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554304291.318 * * [misc]simplify: Extracting #4: cost 13 inf + 209 1554304291.319 * * [misc]simplify: Extracting #5: cost 1 inf + 1759 1554304291.320 * * [misc]simplify: Extracting #6: cost 0 inf + 1801 1554304291.320 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) 1554304291.320 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))))) 1554304291.321 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) 1554304291.321 * * [misc]simplify: iters left: 6 (10 enodes) 1554304291.323 * * [misc]simplify: iters left: 5 (33 enodes) 1554304291.328 * * [misc]simplify: iters left: 4 (35 enodes) 1554304291.333 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.333 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304291.333 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304291.333 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554304291.333 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304291.333 * * [misc]simplify: Extracting #5: cost 5 inf + 842 1554304291.333 * * [misc]simplify: Extracting #6: cost 0 inf + 2838 1554304291.334 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2))) 1554304291.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2))))) 1554304291.334 * * * * [misc]progress: [ 118 / 261 ] simplifiying candidate # 1554304291.334 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304291.334 * * [misc]simplify: iters left: 6 (15 enodes) 1554304291.338 * * [misc]simplify: iters left: 5 (51 enodes) 1554304291.345 * * [misc]simplify: iters left: 4 (58 enodes) 1554304291.354 * * [misc]simplify: iters left: 3 (60 enodes) 1554304291.371 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.371 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304291.371 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304291.371 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304291.371 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554304291.371 * * [misc]simplify: Extracting #5: cost 19 inf + 171 1554304291.371 * * [misc]simplify: Extracting #6: cost 17 inf + 460 1554304291.373 * * [misc]simplify: Extracting #7: cost 8 inf + 3193 1554304291.374 * * [misc]simplify: Extracting #8: cost 0 inf + 6443 1554304291.375 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304291.376 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.376 * * [misc]simplify: iters left: 6 (15 enodes) 1554304291.383 * * [misc]simplify: iters left: 5 (49 enodes) 1554304291.391 * * [misc]simplify: iters left: 4 (52 enodes) 1554304291.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.399 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304291.399 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304291.399 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304291.399 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554304291.399 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554304291.399 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554304291.400 * * [misc]simplify: Extracting #7: cost 3 inf + 3123 1554304291.400 * * [misc]simplify: Extracting #8: cost 0 inf + 5147 1554304291.401 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304291.401 * * * * [misc]progress: [ 119 / 261 ] simplifiying candidate # 1554304291.401 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.401 * * [misc]simplify: iters left: 6 (14 enodes) 1554304291.405 * * [misc]simplify: iters left: 5 (46 enodes) 1554304291.414 * * [misc]simplify: iters left: 4 (51 enodes) 1554304291.427 * * [misc]simplify: iters left: 3 (53 enodes) 1554304291.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.434 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304291.434 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304291.434 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304291.434 * * [misc]simplify: Extracting #4: cost 17 inf + 3 1554304291.434 * * [misc]simplify: Extracting #5: cost 16 inf + 129 1554304291.435 * * [misc]simplify: Extracting #6: cost 12 inf + 584 1554304291.435 * * [misc]simplify: Extracting #7: cost 3 inf + 3075 1554304291.435 * * [misc]simplify: Extracting #8: cost 0 inf + 4065 1554304291.436 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304291.436 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.436 * * [misc]simplify: iters left: 6 (15 enodes) 1554304291.440 * * [misc]simplify: iters left: 5 (49 enodes) 1554304291.447 * * [misc]simplify: iters left: 4 (52 enodes) 1554304291.455 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.455 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304291.455 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304291.455 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304291.455 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554304291.455 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554304291.456 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554304291.456 * * [misc]simplify: Extracting #7: cost 3 inf + 3083 1554304291.457 * * [misc]simplify: Extracting #8: cost 0 inf + 4987 1554304291.458 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304291.458 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304291.459 * * * * [misc]progress: [ 120 / 261 ] simplifiying candidate # 1554304291.459 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304291.459 * * [misc]simplify: iters left: 6 (13 enodes) 1554304291.465 * * [misc]simplify: iters left: 5 (46 enodes) 1554304291.479 * * [misc]simplify: iters left: 4 (58 enodes) 1554304291.493 * * [misc]simplify: iters left: 3 (77 enodes) 1554304291.503 * * [misc]simplify: iters left: 2 (83 enodes) 1554304291.516 * * [misc]simplify: iters left: 1 (91 enodes) 1554304291.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.536 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304291.536 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304291.536 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304291.536 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554304291.536 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554304291.537 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554304291.538 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554304291.539 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554304291.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304291.540 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304291.540 * * [misc]simplify: iters left: 6 (13 enodes) 1554304291.543 * * [misc]simplify: iters left: 5 (44 enodes) 1554304291.550 * * [misc]simplify: iters left: 4 (51 enodes) 1554304291.557 * * [misc]simplify: iters left: 3 (55 enodes) 1554304291.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.568 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.568 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304291.568 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304291.569 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554304291.569 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554304291.570 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554304291.571 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554304291.573 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554304291.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1554304291.573 * * * * [misc]progress: [ 121 / 261 ] simplifiying candidate # 1554304291.573 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304291.573 * * [misc]simplify: iters left: 6 (13 enodes) 1554304291.580 * * [misc]simplify: iters left: 5 (46 enodes) 1554304291.587 * * [misc]simplify: iters left: 4 (58 enodes) 1554304291.596 * * [misc]simplify: iters left: 3 (77 enodes) 1554304291.608 * * [misc]simplify: iters left: 2 (83 enodes) 1554304291.629 * * [misc]simplify: iters left: 1 (91 enodes) 1554304291.652 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.652 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304291.652 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304291.652 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304291.652 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554304291.653 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554304291.655 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554304291.657 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554304291.659 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554304291.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304291.659 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304291.660 * * [misc]simplify: iters left: 6 (13 enodes) 1554304291.666 * * [misc]simplify: iters left: 5 (44 enodes) 1554304291.678 * * [misc]simplify: iters left: 4 (51 enodes) 1554304291.693 * * [misc]simplify: iters left: 3 (55 enodes) 1554304291.706 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.706 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.706 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304291.706 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304291.707 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554304291.707 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554304291.707 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554304291.708 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554304291.708 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554304291.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1554304291.709 * * * * [misc]progress: [ 122 / 261 ] simplifiying candidate # 1554304291.709 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304291.709 * * [misc]simplify: iters left: 6 (17 enodes) 1554304291.714 * * [misc]simplify: iters left: 5 (63 enodes) 1554304291.724 * * [misc]simplify: iters left: 4 (97 enodes) 1554304291.741 * * [misc]simplify: iters left: 3 (136 enodes) 1554304291.781 * * [misc]simplify: iters left: 2 (166 enodes) 1554304291.832 * * [misc]simplify: iters left: 1 (200 enodes) 1554304291.870 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.870 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554304291.870 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554304291.870 * * [misc]simplify: Extracting #3: cost 62 inf + 1 1554304291.871 * * [misc]simplify: Extracting #4: cost 57 inf + 449 1554304291.872 * * [misc]simplify: Extracting #5: cost 30 inf + 10699 1554304291.876 * * [misc]simplify: Extracting #6: cost 3 inf + 24432 1554304291.880 * * [misc]simplify: Extracting #7: cost 0 inf + 25621 1554304291.887 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304291.887 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304291.888 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304291.888 * * [misc]simplify: iters left: 6 (16 enodes) 1554304291.895 * * [misc]simplify: iters left: 5 (54 enodes) 1554304291.911 * * [misc]simplify: iters left: 4 (62 enodes) 1554304291.929 * * [misc]simplify: iters left: 3 (66 enodes) 1554304291.948 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304291.948 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304291.948 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304291.948 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304291.948 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554304291.949 * * [misc]simplify: Extracting #5: cost 8 inf + 3761 1554304291.950 * * [misc]simplify: Extracting #6: cost 2 inf + 6655 1554304291.952 * * [misc]simplify: Extracting #7: cost 0 inf + 8105 1554304291.954 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304291.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304291.954 * * * * [misc]progress: [ 123 / 261 ] simplifiying candidate # 1554304291.954 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304291.955 * * [misc]simplify: iters left: 6 (16 enodes) 1554304291.963 * * [misc]simplify: iters left: 5 (56 enodes) 1554304291.983 * * [misc]simplify: iters left: 4 (73 enodes) 1554304292.004 * * [misc]simplify: iters left: 3 (94 enodes) 1554304292.030 * * [misc]simplify: iters left: 2 (100 enodes) 1554304292.055 * * [misc]simplify: iters left: 1 (108 enodes) 1554304292.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.083 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304292.083 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304292.084 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554304292.084 * * [misc]simplify: Extracting #4: cost 39 inf + 5 1554304292.084 * * [misc]simplify: Extracting #5: cost 25 inf + 2311 1554304292.087 * * [misc]simplify: Extracting #6: cost 3 inf + 10793 1554304292.090 * * [misc]simplify: Extracting #7: cost 0 inf + 11532 1554304292.093 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554304292.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304292.093 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304292.094 * * [misc]simplify: iters left: 6 (16 enodes) 1554304292.102 * * [misc]simplify: iters left: 5 (54 enodes) 1554304292.118 * * [misc]simplify: iters left: 4 (62 enodes) 1554304292.129 * * [misc]simplify: iters left: 3 (66 enodes) 1554304292.138 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.138 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.138 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.138 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304292.138 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554304292.138 * * [misc]simplify: Extracting #5: cost 8 inf + 3681 1554304292.139 * * [misc]simplify: Extracting #6: cost 2 inf + 6415 1554304292.140 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554304292.140 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304292.140 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304292.141 * * * * [misc]progress: [ 124 / 261 ] simplifiying candidate # 1554304292.141 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554304292.141 * * [misc]simplify: iters left: 6 (12 enodes) 1554304292.144 * * [misc]simplify: iters left: 5 (42 enodes) 1554304292.158 * * [misc]simplify: iters left: 4 (57 enodes) 1554304292.174 * * [misc]simplify: iters left: 3 (68 enodes) 1554304292.193 * * [misc]simplify: iters left: 2 (75 enodes) 1554304292.215 * * [misc]simplify: iters left: 1 (88 enodes) 1554304292.243 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.243 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304292.244 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554304292.244 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554304292.244 * * [misc]simplify: Extracting #4: cost 23 inf + 5 1554304292.244 * * [misc]simplify: Extracting #5: cost 11 inf + 1670 1554304292.246 * * [misc]simplify: Extracting #6: cost 2 inf + 3448 1554304292.247 * * [misc]simplify: Extracting #7: cost 0 inf + 3933 1554304292.249 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554304292.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304292.249 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304292.250 * * [misc]simplify: iters left: 6 (15 enodes) 1554304292.259 * * [misc]simplify: iters left: 5 (51 enodes) 1554304292.273 * * [misc]simplify: iters left: 4 (59 enodes) 1554304292.290 * * [misc]simplify: iters left: 3 (63 enodes) 1554304292.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.308 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.308 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304292.308 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304292.308 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1554304292.309 * * [misc]simplify: Extracting #5: cost 8 inf + 3304 1554304292.310 * * [misc]simplify: Extracting #6: cost 1 inf + 6372 1554304292.311 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554304292.313 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554304292.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304292.313 * * * * [misc]progress: [ 125 / 261 ] simplifiying candidate # 1554304292.314 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304292.314 * * [misc]simplify: iters left: 6 (12 enodes) 1554304292.320 * * [misc]simplify: iters left: 5 (41 enodes) 1554304292.332 * * [misc]simplify: iters left: 4 (46 enodes) 1554304292.346 * * [misc]simplify: iters left: 3 (50 enodes) 1554304292.359 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.359 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.359 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.360 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554304292.360 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554304292.360 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554304292.361 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554304292.362 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554304292.362 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554304292.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304292.363 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304292.363 * * [misc]simplify: iters left: 6 (13 enodes) 1554304292.369 * * [misc]simplify: iters left: 5 (44 enodes) 1554304292.381 * * [misc]simplify: iters left: 4 (51 enodes) 1554304292.396 * * [misc]simplify: iters left: 3 (55 enodes) 1554304292.408 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.408 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.408 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.408 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304292.408 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554304292.408 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554304292.409 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554304292.410 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554304292.410 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554304292.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1554304292.410 * * * * [misc]progress: [ 126 / 261 ] simplifiying candidate # 1554304292.411 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304292.411 * * [misc]simplify: iters left: 6 (12 enodes) 1554304292.414 * * [misc]simplify: iters left: 5 (41 enodes) 1554304292.421 * * [misc]simplify: iters left: 4 (46 enodes) 1554304292.427 * * [misc]simplify: iters left: 3 (50 enodes) 1554304292.435 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.435 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.435 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.435 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554304292.435 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554304292.436 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554304292.436 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554304292.437 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554304292.438 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554304292.438 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304292.439 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304292.439 * * [misc]simplify: iters left: 6 (13 enodes) 1554304292.445 * * [misc]simplify: iters left: 5 (44 enodes) 1554304292.458 * * [misc]simplify: iters left: 4 (51 enodes) 1554304292.472 * * [misc]simplify: iters left: 3 (55 enodes) 1554304292.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.487 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.487 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.487 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304292.487 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554304292.487 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554304292.488 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554304292.489 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554304292.491 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554304292.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1554304292.491 * * * * [misc]progress: [ 127 / 261 ] simplifiying candidate # 1554304292.491 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304292.492 * * [misc]simplify: iters left: 6 (16 enodes) 1554304292.499 * * [misc]simplify: iters left: 5 (56 enodes) 1554304292.516 * * [misc]simplify: iters left: 4 (72 enodes) 1554304292.535 * * [misc]simplify: iters left: 3 (86 enodes) 1554304292.546 * * [misc]simplify: iters left: 2 (94 enodes) 1554304292.560 * * [misc]simplify: iters left: 1 (100 enodes) 1554304292.586 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.586 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554304292.586 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554304292.587 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554304292.587 * * [misc]simplify: Extracting #4: cost 36 inf + 5 1554304292.587 * * [misc]simplify: Extracting #5: cost 30 inf + 539 1554304292.588 * * [misc]simplify: Extracting #6: cost 18 inf + 3791 1554304292.591 * * [misc]simplify: Extracting #7: cost 2 inf + 10786 1554304292.594 * * [misc]simplify: Extracting #8: cost 0 inf + 11855 1554304292.597 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554304292.597 * [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 (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304292.598 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304292.598 * * [misc]simplify: iters left: 6 (16 enodes) 1554304292.605 * * [misc]simplify: iters left: 5 (54 enodes) 1554304292.621 * * [misc]simplify: iters left: 4 (62 enodes) 1554304292.638 * * [misc]simplify: iters left: 3 (66 enodes) 1554304292.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.656 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.656 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.656 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304292.656 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554304292.657 * * [misc]simplify: Extracting #5: cost 8 inf + 3601 1554304292.658 * * [misc]simplify: Extracting #6: cost 2 inf + 6375 1554304292.662 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554304292.663 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304292.663 * [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 (* n 2)))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304292.664 * * * * [misc]progress: [ 128 / 261 ] simplifiying candidate # 1554304292.664 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304292.664 * * [misc]simplify: iters left: 6 (15 enodes) 1554304292.672 * * [misc]simplify: iters left: 5 (51 enodes) 1554304292.688 * * [misc]simplify: iters left: 4 (61 enodes) 1554304292.705 * * [misc]simplify: iters left: 3 (67 enodes) 1554304292.716 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.716 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.716 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.716 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304292.716 * * [misc]simplify: Extracting #4: cost 24 inf + 5 1554304292.716 * * [misc]simplify: Extracting #5: cost 19 inf + 579 1554304292.717 * * [misc]simplify: Extracting #6: cost 8 inf + 2440 1554304292.717 * * [misc]simplify: Extracting #7: cost 0 inf + 5623 1554304292.718 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) 1554304292.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304292.718 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304292.719 * * [misc]simplify: iters left: 6 (16 enodes) 1554304292.722 * * [misc]simplify: iters left: 5 (54 enodes) 1554304292.730 * * [misc]simplify: iters left: 4 (62 enodes) 1554304292.739 * * [misc]simplify: iters left: 3 (66 enodes) 1554304292.755 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.755 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.755 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.755 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304292.756 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554304292.756 * * [misc]simplify: Extracting #5: cost 8 inf + 3521 1554304292.757 * * [misc]simplify: Extracting #6: cost 2 inf + 6135 1554304292.759 * * [misc]simplify: Extracting #7: cost 0 inf + 7465 1554304292.761 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554304292.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304292.761 * * * * [misc]progress: [ 129 / 261 ] simplifiying candidate # 1554304292.761 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) 1554304292.761 * * [misc]simplify: iters left: 6 (11 enodes) 1554304292.767 * * [misc]simplify: iters left: 5 (37 enodes) 1554304292.778 * * [misc]simplify: iters left: 4 (41 enodes) 1554304292.792 * * [misc]simplify: iters left: 3 (44 enodes) 1554304292.804 * * [misc]simplify: iters left: 2 (45 enodes) 1554304292.816 * * [misc]simplify: iters left: 1 (47 enodes) 1554304292.829 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.829 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304292.829 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304292.829 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554304292.829 * * [misc]simplify: Extracting #4: cost 12 inf + 5 1554304292.829 * * [misc]simplify: Extracting #5: cost 3 inf + 700 1554304292.830 * * [misc]simplify: Extracting #6: cost 0 inf + 1309 1554304292.830 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304292.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304292.831 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304292.831 * * [misc]simplify: iters left: 6 (15 enodes) 1554304292.838 * * [misc]simplify: iters left: 5 (51 enodes) 1554304292.853 * * [misc]simplify: iters left: 4 (59 enodes) 1554304292.871 * * [misc]simplify: iters left: 3 (63 enodes) 1554304292.887 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.888 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.888 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304292.888 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304292.888 * * [misc]simplify: Extracting #4: cost 22 inf + 250 1554304292.889 * * [misc]simplify: Extracting #5: cost 8 inf + 3104 1554304292.889 * * [misc]simplify: Extracting #6: cost 1 inf + 6052 1554304292.890 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554304292.891 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554304292.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))))) 1554304292.891 * * * * [misc]progress: [ 130 / 261 ] simplifiying candidate # 1554304292.891 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554304292.891 * * [misc]simplify: iters left: 5 (10 enodes) 1554304292.894 * * [misc]simplify: iters left: 4 (37 enodes) 1554304292.900 * * [misc]simplify: iters left: 3 (40 enodes) 1554304292.906 * * [misc]simplify: iters left: 2 (47 enodes) 1554304292.913 * * [misc]simplify: iters left: 1 (48 enodes) 1554304292.924 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.924 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304292.924 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304292.925 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554304292.925 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554304292.925 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554304292.926 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554304292.926 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304292.926 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304292.926 * * [misc]simplify: iters left: 6 (12 enodes) 1554304292.932 * * [misc]simplify: iters left: 5 (41 enodes) 1554304292.944 * * [misc]simplify: iters left: 4 (48 enodes) 1554304292.957 * * [misc]simplify: iters left: 3 (52 enodes) 1554304292.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304292.972 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304292.972 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304292.972 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554304292.972 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554304292.973 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554304292.974 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554304292.975 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554304292.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))))) 1554304292.975 * * * * [misc]progress: [ 131 / 261 ] simplifiying candidate # 1554304292.976 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554304292.976 * * [misc]simplify: iters left: 5 (10 enodes) 1554304292.979 * * [misc]simplify: iters left: 4 (37 enodes) 1554304292.985 * * [misc]simplify: iters left: 3 (40 enodes) 1554304292.992 * * [misc]simplify: iters left: 2 (47 enodes) 1554304292.998 * * [misc]simplify: iters left: 1 (48 enodes) 1554304293.005 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.005 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304293.005 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304293.005 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554304293.005 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554304293.006 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554304293.006 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554304293.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304293.007 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304293.007 * * [misc]simplify: iters left: 6 (12 enodes) 1554304293.012 * * [misc]simplify: iters left: 5 (41 enodes) 1554304293.018 * * [misc]simplify: iters left: 4 (48 enodes) 1554304293.025 * * [misc]simplify: iters left: 3 (52 enodes) 1554304293.034 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.034 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.034 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304293.034 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554304293.034 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554304293.035 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554304293.035 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554304293.036 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554304293.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))))) 1554304293.036 * * * * [misc]progress: [ 132 / 261 ] simplifiying candidate # 1554304293.036 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304293.036 * * [misc]simplify: iters left: 6 (15 enodes) 1554304293.044 * * [misc]simplify: iters left: 5 (55 enodes) 1554304293.061 * * [misc]simplify: iters left: 4 (69 enodes) 1554304293.076 * * [misc]simplify: iters left: 3 (86 enodes) 1554304293.088 * * [misc]simplify: iters left: 2 (95 enodes) 1554304293.105 * * [misc]simplify: iters left: 1 (118 enodes) 1554304293.145 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.145 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304293.145 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304293.145 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554304293.145 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554304293.145 * * [misc]simplify: Extracting #5: cost 25 inf + 417 1554304293.145 * * [misc]simplify: Extracting #6: cost 22 inf + 583 1554304293.146 * * [misc]simplify: Extracting #7: cost 17 inf + 913 1554304293.146 * * [misc]simplify: Extracting #8: cost 12 inf + 2372 1554304293.147 * * [misc]simplify: Extracting #9: cost 1 inf + 7497 1554304293.148 * * [misc]simplify: Extracting #10: cost 0 inf + 8032 1554304293.150 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1554304293.150 * [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))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304293.150 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304293.150 * * [misc]simplify: iters left: 6 (15 enodes) 1554304293.154 * * [misc]simplify: iters left: 5 (51 enodes) 1554304293.161 * * [misc]simplify: iters left: 4 (59 enodes) 1554304293.169 * * [misc]simplify: iters left: 3 (63 enodes) 1554304293.182 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.182 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.182 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304293.182 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304293.183 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554304293.183 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554304293.184 * * [misc]simplify: Extracting #6: cost 7 inf + 3281 1554304293.185 * * [misc]simplify: Extracting #7: cost 1 inf + 6798 1554304293.187 * * [misc]simplify: Extracting #8: cost 0 inf + 7543 1554304293.188 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304293.188 * [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))) (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304293.189 * * * * [misc]progress: [ 133 / 261 ] simplifiying candidate # 1554304293.189 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304293.189 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.195 * * [misc]simplify: iters left: 5 (50 enodes) 1554304293.203 * * [misc]simplify: iters left: 4 (58 enodes) 1554304293.211 * * [misc]simplify: iters left: 3 (67 enodes) 1554304293.220 * * [misc]simplify: iters left: 2 (68 enodes) 1554304293.235 * * [misc]simplify: iters left: 1 (70 enodes) 1554304293.253 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.253 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304293.253 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304293.253 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304293.253 * * [misc]simplify: Extracting #4: cost 18 inf + 5 1554304293.254 * * [misc]simplify: Extracting #5: cost 16 inf + 499 1554304293.254 * * [misc]simplify: Extracting #6: cost 13 inf + 666 1554304293.255 * * [misc]simplify: Extracting #7: cost 2 inf + 3082 1554304293.256 * * [misc]simplify: Extracting #8: cost 0 inf + 3912 1554304293.257 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1554304293.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304293.257 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304293.257 * * [misc]simplify: iters left: 6 (15 enodes) 1554304293.261 * * [misc]simplify: iters left: 5 (51 enodes) 1554304293.268 * * [misc]simplify: iters left: 4 (59 enodes) 1554304293.276 * * [misc]simplify: iters left: 3 (63 enodes) 1554304293.284 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.285 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.285 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304293.285 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304293.285 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554304293.285 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554304293.286 * * [misc]simplify: Extracting #6: cost 7 inf + 3201 1554304293.287 * * [misc]simplify: Extracting #7: cost 1 inf + 6518 1554304293.289 * * [misc]simplify: Extracting #8: cost 0 inf + 7223 1554304293.290 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304293.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304293.290 * * * * [misc]progress: [ 134 / 261 ] simplifiying candidate # 1554304293.291 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 1)) 1554304293.291 * * [misc]simplify: iters left: 5 (8 enodes) 1554304293.296 * * [misc]simplify: iters left: 4 (26 enodes) 1554304293.304 * * [misc]simplify: iters left: 3 (28 enodes) 1554304293.313 * * [misc]simplify: iters left: 2 (30 enodes) 1554304293.321 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.321 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304293.321 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304293.321 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304293.321 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304293.321 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304293.321 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304293.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304293.322 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304293.322 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.325 * * [misc]simplify: iters left: 5 (48 enodes) 1554304293.332 * * [misc]simplify: iters left: 4 (56 enodes) 1554304293.341 * * [misc]simplify: iters left: 3 (60 enodes) 1554304293.349 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.349 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.349 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304293.349 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554304293.350 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554304293.350 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554304293.350 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554304293.351 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554304293.352 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554304293.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))))) 1554304293.352 * * * * [misc]progress: [ 135 / 261 ] simplifiying candidate # 1554304293.352 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554304293.352 * * [misc]simplify: iters left: 5 (7 enodes) 1554304293.356 * * [misc]simplify: iters left: 4 (23 enodes) 1554304293.364 * * [misc]simplify: iters left: 3 (27 enodes) 1554304293.372 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.372 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304293.372 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304293.372 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304293.372 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304293.372 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304293.372 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304293.372 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304293.373 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304293.373 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.380 * * [misc]simplify: iters left: 5 (48 enodes) 1554304293.395 * * [misc]simplify: iters left: 4 (56 enodes) 1554304293.411 * * [misc]simplify: iters left: 3 (60 enodes) 1554304293.427 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.427 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.427 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304293.427 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554304293.427 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554304293.428 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554304293.429 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554304293.430 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554304293.432 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554304293.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))))) 1554304293.432 * * * * [misc]progress: [ 136 / 261 ] simplifiying candidate # 1554304293.432 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt k)) 1554304293.432 * * [misc]simplify: iters left: 5 (8 enodes) 1554304293.437 * * [misc]simplify: iters left: 4 (26 enodes) 1554304293.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.445 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304293.445 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304293.445 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554304293.445 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1554304293.445 * * [misc]simplify: Extracting #5: cost 1 inf + 497 1554304293.446 * * [misc]simplify: Extracting #6: cost 0 inf + 660 1554304293.446 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554304293.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304293.447 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304293.447 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.454 * * [misc]simplify: iters left: 5 (50 enodes) 1554304293.469 * * [misc]simplify: iters left: 4 (56 enodes) 1554304293.488 * * [misc]simplify: iters left: 3 (63 enodes) 1554304293.506 * * [misc]simplify: iters left: 2 (64 enodes) 1554304293.522 * * [misc]simplify: iters left: 1 (66 enodes) 1554304293.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.536 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304293.536 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304293.536 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554304293.536 * * [misc]simplify: Extracting #4: cost 21 inf + 5 1554304293.537 * * [misc]simplify: Extracting #5: cost 15 inf + 255 1554304293.537 * * [misc]simplify: Extracting #6: cost 3 inf + 3174 1554304293.537 * * [misc]simplify: Extracting #7: cost 0 inf + 4508 1554304293.538 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2)))) 1554304293.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2)))))) 1554304293.538 * * * * [misc]progress: [ 137 / 261 ] simplifiying candidate # 1554304293.538 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) 1554304293.538 * * [misc]simplify: iters left: 5 (11 enodes) 1554304293.541 * * [misc]simplify: iters left: 4 (38 enodes) 1554304293.547 * * [misc]simplify: iters left: 3 (43 enodes) 1554304293.553 * * [misc]simplify: iters left: 2 (47 enodes) 1554304293.559 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.559 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.559 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304293.559 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554304293.559 * * [misc]simplify: Extracting #4: cost 13 inf + 209 1554304293.559 * * [misc]simplify: Extracting #5: cost 1 inf + 1759 1554304293.560 * * [misc]simplify: Extracting #6: cost 0 inf + 1801 1554304293.560 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) 1554304293.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))))) 1554304293.560 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) 1554304293.560 * * [misc]simplify: iters left: 6 (10 enodes) 1554304293.565 * * [misc]simplify: iters left: 5 (33 enodes) 1554304293.575 * * [misc]simplify: iters left: 4 (35 enodes) 1554304293.585 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.585 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304293.585 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304293.585 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554304293.585 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304293.586 * * [misc]simplify: Extracting #5: cost 5 inf + 842 1554304293.586 * * [misc]simplify: Extracting #6: cost 0 inf + 2838 1554304293.587 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2))) 1554304293.587 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2))))) 1554304293.587 * * * * [misc]progress: [ 138 / 261 ] simplifiying candidate # 1554304293.587 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304293.587 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.594 * * [misc]simplify: iters left: 5 (46 enodes) 1554304293.608 * * [misc]simplify: iters left: 4 (53 enodes) 1554304293.626 * * [misc]simplify: iters left: 3 (55 enodes) 1554304293.641 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.641 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304293.641 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304293.641 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554304293.641 * * [misc]simplify: Extracting #4: cost 26 inf + 2 1554304293.642 * * [misc]simplify: Extracting #5: cost 16 inf + 712 1554304293.642 * * [misc]simplify: Extracting #6: cost 4 inf + 4694 1554304293.644 * * [misc]simplify: Extracting #7: cost 0 inf + 7303 1554304293.645 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304293.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304293.646 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304293.646 * * [misc]simplify: iters left: 6 (12 enodes) 1554304293.652 * * [misc]simplify: iters left: 5 (38 enodes) 1554304293.663 * * [misc]simplify: iters left: 4 (43 enodes) 1554304293.676 * * [misc]simplify: iters left: 3 (45 enodes) 1554304293.689 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.689 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304293.689 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304293.689 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554304293.689 * * [misc]simplify: Extracting #4: cost 21 inf + 2 1554304293.689 * * [misc]simplify: Extracting #5: cost 16 inf + 169 1554304293.690 * * [misc]simplify: Extracting #6: cost 7 inf + 1755 1554304293.691 * * [misc]simplify: Extracting #7: cost 0 inf + 4820 1554304293.692 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304293.692 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304293.692 * * * * [misc]progress: [ 139 / 261 ] simplifiying candidate # 1554304293.692 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304293.692 * * [misc]simplify: iters left: 6 (13 enodes) 1554304293.698 * * [misc]simplify: iters left: 5 (41 enodes) 1554304293.710 * * [misc]simplify: iters left: 4 (46 enodes) 1554304293.724 * * [misc]simplify: iters left: 3 (48 enodes) 1554304293.737 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.737 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304293.737 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304293.737 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554304293.738 * * [misc]simplify: Extracting #4: cost 22 inf + 2 1554304293.738 * * [misc]simplify: Extracting #5: cost 14 inf + 588 1554304293.738 * * [misc]simplify: Extracting #6: cost 4 inf + 2918 1554304293.739 * * [misc]simplify: Extracting #7: cost 0 inf + 4665 1554304293.740 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304293.740 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304293.741 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304293.741 * * [misc]simplify: iters left: 6 (12 enodes) 1554304293.747 * * [misc]simplify: iters left: 5 (38 enodes) 1554304293.758 * * [misc]simplify: iters left: 4 (43 enodes) 1554304293.773 * * [misc]simplify: iters left: 3 (45 enodes) 1554304293.786 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.786 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304293.786 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304293.786 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554304293.786 * * [misc]simplify: Extracting #4: cost 21 inf + 2 1554304293.786 * * [misc]simplify: Extracting #5: cost 16 inf + 169 1554304293.787 * * [misc]simplify: Extracting #6: cost 7 inf + 1755 1554304293.787 * * [misc]simplify: Extracting #7: cost 0 inf + 4660 1554304293.788 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304293.788 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304293.789 * * * * [misc]progress: [ 140 / 261 ] simplifiying candidate # 1554304293.789 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304293.789 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.795 * * [misc]simplify: iters left: 5 (49 enodes) 1554304293.802 * * [misc]simplify: iters left: 4 (66 enodes) 1554304293.812 * * [misc]simplify: iters left: 3 (87 enodes) 1554304293.824 * * [misc]simplify: iters left: 2 (93 enodes) 1554304293.842 * * [misc]simplify: iters left: 1 (101 enodes) 1554304293.863 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.864 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304293.864 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554304293.864 * * [misc]simplify: Extracting #3: cost 34 inf + 85 1554304293.864 * * [misc]simplify: Extracting #4: cost 34 inf + 289 1554304293.864 * * [misc]simplify: Extracting #5: cost 24 inf + 1747 1554304293.865 * * [misc]simplify: Extracting #6: cost 6 inf + 7440 1554304293.866 * * [misc]simplify: Extracting #7: cost 0 inf + 10365 1554304293.868 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554304293.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304293.868 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304293.868 * * [misc]simplify: iters left: 6 (13 enodes) 1554304293.873 * * [misc]simplify: iters left: 5 (44 enodes) 1554304293.880 * * [misc]simplify: iters left: 4 (52 enodes) 1554304293.889 * * [misc]simplify: iters left: 3 (56 enodes) 1554304293.904 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.904 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304293.904 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304293.904 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554304293.904 * * [misc]simplify: Extracting #4: cost 18 inf + 372 1554304293.905 * * [misc]simplify: Extracting #5: cost 8 inf + 2156 1554304293.906 * * [misc]simplify: Extracting #6: cost 0 inf + 6464 1554304293.907 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304293.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304293.908 * * * * [misc]progress: [ 141 / 261 ] simplifiying candidate # 1554304293.908 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304293.908 * * [misc]simplify: iters left: 6 (14 enodes) 1554304293.915 * * [misc]simplify: iters left: 5 (49 enodes) 1554304293.925 * * [misc]simplify: iters left: 4 (66 enodes) 1554304293.935 * * [misc]simplify: iters left: 3 (87 enodes) 1554304293.947 * * [misc]simplify: iters left: 2 (93 enodes) 1554304293.968 * * [misc]simplify: iters left: 1 (101 enodes) 1554304293.997 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304293.997 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304293.997 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554304293.998 * * [misc]simplify: Extracting #3: cost 34 inf + 85 1554304293.998 * * [misc]simplify: Extracting #4: cost 34 inf + 289 1554304293.998 * * [misc]simplify: Extracting #5: cost 24 inf + 1747 1554304294.000 * * [misc]simplify: Extracting #6: cost 6 inf + 7440 1554304294.003 * * [misc]simplify: Extracting #7: cost 0 inf + 10365 1554304294.005 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554304294.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304294.006 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304294.006 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.012 * * [misc]simplify: iters left: 5 (44 enodes) 1554304294.025 * * [misc]simplify: iters left: 4 (52 enodes) 1554304294.040 * * [misc]simplify: iters left: 3 (56 enodes) 1554304294.056 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.056 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.056 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304294.056 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554304294.056 * * [misc]simplify: Extracting #4: cost 18 inf + 372 1554304294.057 * * [misc]simplify: Extracting #5: cost 8 inf + 2156 1554304294.058 * * [misc]simplify: Extracting #6: cost 0 inf + 6464 1554304294.059 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304294.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304294.059 * * * * [misc]progress: [ 142 / 261 ] simplifiying candidate # 1554304294.060 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304294.060 * * [misc]simplify: iters left: 6 (16 enodes) 1554304294.068 * * [misc]simplify: iters left: 5 (58 enodes) 1554304294.086 * * [misc]simplify: iters left: 4 (92 enodes) 1554304294.115 * * [misc]simplify: iters left: 3 (131 enodes) 1554304294.157 * * [misc]simplify: iters left: 2 (161 enodes) 1554304294.181 * * [misc]simplify: iters left: 1 (195 enodes) 1554304294.222 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.222 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554304294.222 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554304294.222 * * [misc]simplify: Extracting #3: cost 62 inf + 1 1554304294.222 * * [misc]simplify: Extracting #4: cost 59 inf + 448 1554304294.223 * * [misc]simplify: Extracting #5: cost 43 inf + 4096 1554304294.224 * * [misc]simplify: Extracting #6: cost 25 inf + 13589 1554304294.227 * * [misc]simplify: Extracting #7: cost 1 inf + 29064 1554304294.232 * * [misc]simplify: Extracting #8: cost 0 inf + 29729 1554304294.236 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304294.236 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304294.236 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304294.236 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.243 * * [misc]simplify: iters left: 5 (43 enodes) 1554304294.256 * * [misc]simplify: iters left: 4 (53 enodes) 1554304294.268 * * [misc]simplify: iters left: 3 (59 enodes) 1554304294.276 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.276 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.276 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304294.276 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304294.276 * * [misc]simplify: Extracting #4: cost 19 inf + 452 1554304294.276 * * [misc]simplify: Extracting #5: cost 13 inf + 1740 1554304294.277 * * [misc]simplify: Extracting #6: cost 1 inf + 6752 1554304294.278 * * [misc]simplify: Extracting #7: cost 0 inf + 7536 1554304294.279 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304294.279 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 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 PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304294.279 * * * * [misc]progress: [ 143 / 261 ] simplifiying candidate # 1554304294.279 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304294.279 * * [misc]simplify: iters left: 6 (15 enodes) 1554304294.283 * * [misc]simplify: iters left: 5 (51 enodes) 1554304294.291 * * [misc]simplify: iters left: 4 (68 enodes) 1554304294.313 * * [misc]simplify: iters left: 3 (89 enodes) 1554304294.340 * * [misc]simplify: iters left: 2 (95 enodes) 1554304294.365 * * [misc]simplify: iters left: 1 (103 enodes) 1554304294.391 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.391 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304294.391 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304294.392 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554304294.392 * * [misc]simplify: Extracting #4: cost 36 inf + 529 1554304294.392 * * [misc]simplify: Extracting #5: cost 31 inf + 1111 1554304294.394 * * [misc]simplify: Extracting #6: cost 13 inf + 7103 1554304294.396 * * [misc]simplify: Extracting #7: cost 0 inf + 14551 1554304294.400 * [exit]simplify: Simplified to (/ (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1554304294.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304294.401 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304294.401 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.407 * * [misc]simplify: iters left: 5 (43 enodes) 1554304294.420 * * [misc]simplify: iters left: 4 (53 enodes) 1554304294.433 * * [misc]simplify: iters left: 3 (59 enodes) 1554304294.441 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.441 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.441 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304294.441 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304294.441 * * [misc]simplify: Extracting #4: cost 19 inf + 452 1554304294.442 * * [misc]simplify: Extracting #5: cost 13 inf + 1740 1554304294.442 * * [misc]simplify: Extracting #6: cost 1 inf + 6472 1554304294.443 * * [misc]simplify: Extracting #7: cost 0 inf + 7216 1554304294.444 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304294.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304294.444 * * * * [misc]progress: [ 144 / 261 ] simplifiying candidate # 1554304294.444 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554304294.444 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.448 * * [misc]simplify: iters left: 5 (45 enodes) 1554304294.456 * * [misc]simplify: iters left: 4 (65 enodes) 1554304294.478 * * [misc]simplify: iters left: 3 (78 enodes) 1554304294.499 * * [misc]simplify: iters left: 2 (85 enodes) 1554304294.523 * * [misc]simplify: iters left: 1 (98 enodes) 1554304294.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.541 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304294.541 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554304294.541 * * [misc]simplify: Extracting #3: cost 27 inf + 2 1554304294.541 * * [misc]simplify: Extracting #4: cost 26 inf + 207 1554304294.541 * * [misc]simplify: Extracting #5: cost 17 inf + 1424 1554304294.542 * * [misc]simplify: Extracting #6: cost 3 inf + 5015 1554304294.543 * * [misc]simplify: Extracting #7: cost 0 inf + 6457 1554304294.544 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304294.544 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304294.544 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304294.544 * * [misc]simplify: iters left: 6 (12 enodes) 1554304294.547 * * [misc]simplify: iters left: 5 (40 enodes) 1554304294.553 * * [misc]simplify: iters left: 4 (50 enodes) 1554304294.561 * * [misc]simplify: iters left: 3 (56 enodes) 1554304294.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.569 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.569 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304294.569 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554304294.569 * * [misc]simplify: Extracting #4: cost 18 inf + 370 1554304294.569 * * [misc]simplify: Extracting #5: cost 11 inf + 1792 1554304294.569 * * [misc]simplify: Extracting #6: cost 1 inf + 5604 1554304294.570 * * [misc]simplify: Extracting #7: cost 0 inf + 6308 1554304294.571 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304294.571 * [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))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304294.571 * * * * [misc]progress: [ 145 / 261 ] simplifiying candidate # 1554304294.571 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304294.571 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.576 * * [misc]simplify: iters left: 5 (44 enodes) 1554304294.582 * * [misc]simplify: iters left: 4 (54 enodes) 1554304294.590 * * [misc]simplify: iters left: 3 (60 enodes) 1554304294.598 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.598 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.598 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304294.598 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1554304294.598 * * [misc]simplify: Extracting #4: cost 19 inf + 289 1554304294.598 * * [misc]simplify: Extracting #5: cost 11 inf + 865 1554304294.599 * * [misc]simplify: Extracting #6: cost 1 inf + 3932 1554304294.599 * * [misc]simplify: Extracting #7: cost 0 inf + 4307 1554304294.600 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1554304294.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304294.600 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304294.600 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.603 * * [misc]simplify: iters left: 5 (44 enodes) 1554304294.610 * * [misc]simplify: iters left: 4 (52 enodes) 1554304294.618 * * [misc]simplify: iters left: 3 (56 enodes) 1554304294.626 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.626 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.626 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304294.626 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554304294.627 * * [misc]simplify: Extracting #4: cost 18 inf + 332 1554304294.627 * * [misc]simplify: Extracting #5: cost 8 inf + 2036 1554304294.628 * * [misc]simplify: Extracting #6: cost 0 inf + 6144 1554304294.629 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304294.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304294.630 * * * * [misc]progress: [ 146 / 261 ] simplifiying candidate # 1554304294.630 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304294.630 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.636 * * [misc]simplify: iters left: 5 (44 enodes) 1554304294.649 * * [misc]simplify: iters left: 4 (54 enodes) 1554304294.661 * * [misc]simplify: iters left: 3 (60 enodes) 1554304294.670 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.670 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.670 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304294.670 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1554304294.670 * * [misc]simplify: Extracting #4: cost 19 inf + 289 1554304294.670 * * [misc]simplify: Extracting #5: cost 11 inf + 865 1554304294.671 * * [misc]simplify: Extracting #6: cost 1 inf + 3932 1554304294.672 * * [misc]simplify: Extracting #7: cost 0 inf + 4307 1554304294.672 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1554304294.672 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304294.673 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304294.673 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.676 * * [misc]simplify: iters left: 5 (44 enodes) 1554304294.682 * * [misc]simplify: iters left: 4 (52 enodes) 1554304294.690 * * [misc]simplify: iters left: 3 (56 enodes) 1554304294.697 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.697 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.697 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304294.697 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554304294.697 * * [misc]simplify: Extracting #4: cost 18 inf + 332 1554304294.698 * * [misc]simplify: Extracting #5: cost 8 inf + 2036 1554304294.698 * * [misc]simplify: Extracting #6: cost 0 inf + 6144 1554304294.699 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304294.699 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304294.699 * * * * [misc]progress: [ 147 / 261 ] simplifiying candidate # 1554304294.699 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304294.699 * * [misc]simplify: iters left: 6 (15 enodes) 1554304294.703 * * [misc]simplify: iters left: 5 (51 enodes) 1554304294.710 * * [misc]simplify: iters left: 4 (67 enodes) 1554304294.720 * * [misc]simplify: iters left: 3 (81 enodes) 1554304294.731 * * [misc]simplify: iters left: 2 (89 enodes) 1554304294.745 * * [misc]simplify: iters left: 1 (95 enodes) 1554304294.769 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.769 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554304294.769 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554304294.769 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554304294.770 * * [misc]simplify: Extracting #4: cost 35 inf + 167 1554304294.770 * * [misc]simplify: Extracting #5: cost 31 inf + 415 1554304294.771 * * [misc]simplify: Extracting #6: cost 13 inf + 5887 1554304294.774 * * [misc]simplify: Extracting #7: cost 2 inf + 12929 1554304294.777 * * [misc]simplify: Extracting #8: cost 0 inf + 14339 1554304294.780 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (pow n (- 1/2 (/ k 2))))) 1554304294.780 * [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))))) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304294.780 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304294.780 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.787 * * [misc]simplify: iters left: 5 (43 enodes) 1554304294.799 * * [misc]simplify: iters left: 4 (53 enodes) 1554304294.814 * * [misc]simplify: iters left: 3 (59 enodes) 1554304294.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.830 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.830 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304294.830 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304294.831 * * [misc]simplify: Extracting #4: cost 19 inf + 372 1554304294.831 * * [misc]simplify: Extracting #5: cost 13 inf + 1620 1554304294.832 * * [misc]simplify: Extracting #6: cost 1 inf + 6472 1554304294.834 * * [misc]simplify: Extracting #7: cost 0 inf + 7216 1554304294.835 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304294.835 * [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))))) (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304294.835 * * * * [misc]progress: [ 148 / 261 ] simplifiying candidate # 1554304294.836 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304294.836 * * [misc]simplify: iters left: 6 (14 enodes) 1554304294.843 * * [misc]simplify: iters left: 5 (46 enodes) 1554304294.855 * * [misc]simplify: iters left: 4 (56 enodes) 1554304294.863 * * [misc]simplify: iters left: 3 (62 enodes) 1554304294.871 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.871 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.871 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304294.871 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304294.871 * * [misc]simplify: Extracting #4: cost 23 inf + 207 1554304294.871 * * [misc]simplify: Extracting #5: cost 17 inf + 539 1554304294.872 * * [misc]simplify: Extracting #6: cost 4 inf + 4696 1554304294.874 * * [misc]simplify: Extracting #7: cost 0 inf + 6905 1554304294.875 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304294.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304294.875 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304294.875 * * [misc]simplify: iters left: 6 (13 enodes) 1554304294.879 * * [misc]simplify: iters left: 5 (43 enodes) 1554304294.885 * * [misc]simplify: iters left: 4 (53 enodes) 1554304294.893 * * [misc]simplify: iters left: 3 (59 enodes) 1554304294.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.900 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304294.900 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304294.900 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304294.901 * * [misc]simplify: Extracting #4: cost 19 inf + 372 1554304294.901 * * [misc]simplify: Extracting #5: cost 13 inf + 1620 1554304294.901 * * [misc]simplify: Extracting #6: cost 1 inf + 6192 1554304294.902 * * [misc]simplify: Extracting #7: cost 0 inf + 6896 1554304294.903 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304294.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304294.903 * * * * [misc]progress: [ 149 / 261 ] simplifiying candidate # 1554304294.903 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) 1554304294.903 * * [misc]simplify: iters left: 6 (12 enodes) 1554304294.908 * * [misc]simplify: iters left: 5 (40 enodes) 1554304294.921 * * [misc]simplify: iters left: 4 (49 enodes) 1554304294.936 * * [misc]simplify: iters left: 3 (54 enodes) 1554304294.950 * * [misc]simplify: iters left: 2 (55 enodes) 1554304294.964 * * [misc]simplify: iters left: 1 (57 enodes) 1554304294.979 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304294.980 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304294.980 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304294.980 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1554304294.980 * * [misc]simplify: Extracting #4: cost 16 inf + 86 1554304294.980 * * [misc]simplify: Extracting #5: cost 14 inf + 209 1554304294.980 * * [misc]simplify: Extracting #6: cost 8 inf + 580 1554304294.981 * * [misc]simplify: Extracting #7: cost 1 inf + 2575 1554304294.982 * * [misc]simplify: Extracting #8: cost 0 inf + 2989 1554304294.983 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304294.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304294.984 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304294.984 * * [misc]simplify: iters left: 6 (12 enodes) 1554304294.990 * * [misc]simplify: iters left: 5 (40 enodes) 1554304295.005 * * [misc]simplify: iters left: 4 (50 enodes) 1554304295.014 * * [misc]simplify: iters left: 3 (56 enodes) 1554304295.022 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.022 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.022 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304295.022 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554304295.022 * * [misc]simplify: Extracting #4: cost 18 inf + 290 1554304295.022 * * [misc]simplify: Extracting #5: cost 11 inf + 1712 1554304295.023 * * [misc]simplify: Extracting #6: cost 1 inf + 5324 1554304295.023 * * [misc]simplify: Extracting #7: cost 0 inf + 5988 1554304295.024 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304295.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304295.024 * * * * [misc]progress: [ 150 / 261 ] simplifiying candidate # 1554304295.024 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554304295.024 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.028 * * [misc]simplify: iters left: 5 (43 enodes) 1554304295.034 * * [misc]simplify: iters left: 4 (51 enodes) 1554304295.042 * * [misc]simplify: iters left: 3 (60 enodes) 1554304295.055 * * [misc]simplify: iters left: 2 (61 enodes) 1554304295.063 * * [misc]simplify: iters left: 1 (63 enodes) 1554304295.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.071 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304295.071 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304295.071 * * [misc]simplify: Extracting #3: cost 13 inf + 45 1554304295.071 * * [misc]simplify: Extracting #4: cost 15 inf + 250 1554304295.071 * * [misc]simplify: Extracting #5: cost 13 inf + 293 1554304295.071 * * [misc]simplify: Extracting #6: cost 8 inf + 583 1554304295.072 * * [misc]simplify: Extracting #7: cost 0 inf + 2756 1554304295.072 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1554304295.072 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304295.072 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304295.072 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.075 * * [misc]simplify: iters left: 5 (41 enodes) 1554304295.081 * * [misc]simplify: iters left: 4 (49 enodes) 1554304295.090 * * [misc]simplify: iters left: 3 (53 enodes) 1554304295.097 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.097 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.097 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304295.097 * * [misc]simplify: Extracting #3: cost 19 inf + 85 1554304295.098 * * [misc]simplify: Extracting #4: cost 16 inf + 544 1554304295.098 * * [misc]simplify: Extracting #5: cost 8 inf + 2124 1554304295.098 * * [misc]simplify: Extracting #6: cost 1 inf + 5078 1554304295.099 * * [misc]simplify: Extracting #7: cost 0 inf + 5742 1554304295.099 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- (/ k 2)))) 1554304295.099 * [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)) (pow PI (- (/ k 2)))))) 1554304295.100 * * * * [misc]progress: [ 151 / 261 ] simplifiying candidate # 1554304295.100 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554304295.100 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.103 * * [misc]simplify: iters left: 5 (43 enodes) 1554304295.110 * * [misc]simplify: iters left: 4 (51 enodes) 1554304295.118 * * [misc]simplify: iters left: 3 (60 enodes) 1554304295.131 * * [misc]simplify: iters left: 2 (61 enodes) 1554304295.147 * * [misc]simplify: iters left: 1 (63 enodes) 1554304295.157 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.157 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304295.157 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304295.157 * * [misc]simplify: Extracting #3: cost 13 inf + 45 1554304295.157 * * [misc]simplify: Extracting #4: cost 15 inf + 250 1554304295.157 * * [misc]simplify: Extracting #5: cost 13 inf + 293 1554304295.157 * * [misc]simplify: Extracting #6: cost 8 inf + 583 1554304295.158 * * [misc]simplify: Extracting #7: cost 0 inf + 2756 1554304295.158 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1554304295.158 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304295.158 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304295.158 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.162 * * [misc]simplify: iters left: 5 (41 enodes) 1554304295.168 * * [misc]simplify: iters left: 4 (49 enodes) 1554304295.175 * * [misc]simplify: iters left: 3 (53 enodes) 1554304295.188 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.188 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.188 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304295.188 * * [misc]simplify: Extracting #3: cost 19 inf + 85 1554304295.188 * * [misc]simplify: Extracting #4: cost 16 inf + 544 1554304295.189 * * [misc]simplify: Extracting #5: cost 8 inf + 2124 1554304295.190 * * [misc]simplify: Extracting #6: cost 1 inf + 5078 1554304295.191 * * [misc]simplify: Extracting #7: cost 0 inf + 5742 1554304295.192 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- (/ k 2)))) 1554304295.192 * [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)) (pow PI (- (/ k 2)))))) 1554304295.192 * * * * [misc]progress: [ 152 / 261 ] simplifiying candidate # 1554304295.193 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304295.193 * * [misc]simplify: iters left: 6 (14 enodes) 1554304295.201 * * [misc]simplify: iters left: 5 (50 enodes) 1554304295.209 * * [misc]simplify: iters left: 4 (64 enodes) 1554304295.219 * * [misc]simplify: iters left: 3 (81 enodes) 1554304295.236 * * [misc]simplify: iters left: 2 (90 enodes) 1554304295.260 * * [misc]simplify: iters left: 1 (114 enodes) 1554304295.278 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.278 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304295.278 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304295.278 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554304295.278 * * [misc]simplify: Extracting #4: cost 29 inf + 4 1554304295.278 * * [misc]simplify: Extracting #5: cost 22 inf + 590 1554304295.279 * * [misc]simplify: Extracting #6: cost 7 inf + 5840 1554304295.281 * * [misc]simplify: Extracting #7: cost 0 inf + 9576 1554304295.283 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304295.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304295.283 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304295.283 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.287 * * [misc]simplify: iters left: 5 (40 enodes) 1554304295.299 * * [misc]simplify: iters left: 4 (50 enodes) 1554304295.306 * * [misc]simplify: iters left: 3 (56 enodes) 1554304295.314 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.314 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.314 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304295.314 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554304295.314 * * [misc]simplify: Extracting #4: cost 20 inf + 128 1554304295.314 * * [misc]simplify: Extracting #5: cost 12 inf + 2004 1554304295.315 * * [misc]simplify: Extracting #6: cost 1 inf + 6110 1554304295.315 * * [misc]simplify: Extracting #7: cost 0 inf + 6814 1554304295.316 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304295.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304295.316 * * * * [misc]progress: [ 153 / 261 ] simplifiying candidate # 1554304295.316 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304295.317 * * [misc]simplify: iters left: 6 (13 enodes) 1554304295.320 * * [misc]simplify: iters left: 5 (45 enodes) 1554304295.327 * * [misc]simplify: iters left: 4 (53 enodes) 1554304295.340 * * [misc]simplify: iters left: 3 (62 enodes) 1554304295.349 * * [misc]simplify: iters left: 2 (63 enodes) 1554304295.357 * * [misc]simplify: iters left: 1 (65 enodes) 1554304295.366 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.366 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304295.366 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304295.366 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304295.366 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554304295.366 * * [misc]simplify: Extracting #5: cost 14 inf + 590 1554304295.367 * * [misc]simplify: Extracting #6: cost 2 inf + 4226 1554304295.367 * * [misc]simplify: Extracting #7: cost 0 inf + 4936 1554304295.368 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1554304295.368 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304295.368 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304295.368 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.373 * * [misc]simplify: iters left: 5 (40 enodes) 1554304295.379 * * [misc]simplify: iters left: 4 (50 enodes) 1554304295.387 * * [misc]simplify: iters left: 3 (56 enodes) 1554304295.394 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.394 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.394 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304295.395 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554304295.395 * * [misc]simplify: Extracting #4: cost 20 inf + 128 1554304295.395 * * [misc]simplify: Extracting #5: cost 12 inf + 1924 1554304295.395 * * [misc]simplify: Extracting #6: cost 1 inf + 5830 1554304295.396 * * [misc]simplify: Extracting #7: cost 0 inf + 6494 1554304295.397 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304295.398 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304295.398 * * * * [misc]progress: [ 154 / 261 ] simplifiying candidate # 1554304295.398 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 1)) 1554304295.398 * * [misc]simplify: iters left: 6 (10 enodes) 1554304295.403 * * [misc]simplify: iters left: 5 (32 enodes) 1554304295.411 * * [misc]simplify: iters left: 4 (39 enodes) 1554304295.417 * * [misc]simplify: iters left: 3 (43 enodes) 1554304295.423 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.423 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304295.423 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554304295.423 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554304295.423 * * [misc]simplify: Extracting #4: cost 10 inf + 5 1554304295.423 * * [misc]simplify: Extracting #5: cost 1 inf + 1007 1554304295.423 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554304295.424 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304295.424 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304295.424 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304295.424 * * [misc]simplify: iters left: 6 (11 enodes) 1554304295.427 * * [misc]simplify: iters left: 5 (37 enodes) 1554304295.432 * * [misc]simplify: iters left: 4 (47 enodes) 1554304295.439 * * [misc]simplify: iters left: 3 (53 enodes) 1554304295.452 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.453 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.453 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304295.453 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1554304295.453 * * [misc]simplify: Extracting #4: cost 17 inf + 210 1554304295.453 * * [misc]simplify: Extracting #5: cost 8 inf + 2340 1554304295.454 * * [misc]simplify: Extracting #6: cost 1 inf + 5213 1554304295.456 * * [misc]simplify: Extracting #7: cost 0 inf + 5586 1554304295.457 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1554304295.457 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1554304295.457 * * * * [misc]progress: [ 155 / 261 ] simplifiying candidate # 1554304295.457 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554304295.457 * * [misc]simplify: iters left: 6 (9 enodes) 1554304295.462 * * [misc]simplify: iters left: 5 (29 enodes) 1554304295.472 * * [misc]simplify: iters left: 4 (36 enodes) 1554304295.478 * * [misc]simplify: iters left: 3 (38 enodes) 1554304295.484 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.484 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304295.484 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554304295.484 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554304295.484 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554304295.484 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554304295.484 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554304295.484 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304295.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304295.485 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304295.485 * * [misc]simplify: iters left: 6 (11 enodes) 1554304295.488 * * [misc]simplify: iters left: 5 (37 enodes) 1554304295.493 * * [misc]simplify: iters left: 4 (47 enodes) 1554304295.500 * * [misc]simplify: iters left: 3 (53 enodes) 1554304295.514 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.514 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.514 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304295.514 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1554304295.515 * * [misc]simplify: Extracting #4: cost 17 inf + 210 1554304295.515 * * [misc]simplify: Extracting #5: cost 8 inf + 2340 1554304295.516 * * [misc]simplify: Extracting #6: cost 1 inf + 5213 1554304295.517 * * [misc]simplify: Extracting #7: cost 0 inf + 5586 1554304295.518 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1554304295.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1554304295.518 * * * * [misc]progress: [ 156 / 261 ] simplifiying candidate # 1554304295.519 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554304295.519 * * [misc]simplify: iters left: 6 (9 enodes) 1554304295.524 * * [misc]simplify: iters left: 5 (29 enodes) 1554304295.531 * * [misc]simplify: iters left: 4 (34 enodes) 1554304295.537 * * [misc]simplify: iters left: 3 (36 enodes) 1554304295.542 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.542 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304295.542 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304295.542 * * [misc]simplify: Extracting #3: cost 9 inf + 84 1554304295.542 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304295.542 * * [misc]simplify: Extracting #5: cost 10 inf + 209 1554304295.543 * * [misc]simplify: Extracting #6: cost 6 inf + 457 1554304295.543 * * [misc]simplify: Extracting #7: cost 1 inf + 1624 1554304295.543 * * [misc]simplify: Extracting #8: cost 0 inf + 1918 1554304295.543 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554304295.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304295.544 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304295.544 * * [misc]simplify: iters left: 6 (11 enodes) 1554304295.547 * * [misc]simplify: iters left: 5 (39 enodes) 1554304295.553 * * [misc]simplify: iters left: 4 (47 enodes) 1554304295.560 * * [misc]simplify: iters left: 3 (56 enodes) 1554304295.578 * * [misc]simplify: iters left: 2 (57 enodes) 1554304295.589 * * [misc]simplify: iters left: 1 (59 enodes) 1554304295.597 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.597 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304295.597 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304295.597 * * [misc]simplify: Extracting #3: cost 15 inf + 3 1554304295.597 * * [misc]simplify: Extracting #4: cost 18 inf + 4 1554304295.597 * * [misc]simplify: Extracting #5: cost 14 inf + 212 1554304295.598 * * [misc]simplify: Extracting #6: cost 6 inf + 1717 1554304295.598 * * [misc]simplify: Extracting #7: cost 0 inf + 4101 1554304295.599 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) 1554304295.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) 1554304295.599 * * * * [misc]progress: [ 157 / 261 ] simplifiying candidate # 1554304295.599 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) 1554304295.599 * * [misc]simplify: iters left: 6 (12 enodes) 1554304295.602 * * [misc]simplify: iters left: 5 (41 enodes) 1554304295.608 * * [misc]simplify: iters left: 4 (51 enodes) 1554304295.618 * * [misc]simplify: iters left: 3 (57 enodes) 1554304295.633 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.633 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304295.633 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304295.634 * * [misc]simplify: Extracting #3: cost 16 inf + 86 1554304295.634 * * [misc]simplify: Extracting #4: cost 16 inf + 412 1554304295.634 * * [misc]simplify: Extracting #5: cost 12 inf + 661 1554304295.635 * * [misc]simplify: Extracting #6: cost 2 inf + 3075 1554304295.636 * * [misc]simplify: Extracting #7: cost 0 inf + 3905 1554304295.637 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) 1554304295.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))))) 1554304295.637 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554304295.637 * * [misc]simplify: iters left: 6 (9 enodes) 1554304295.642 * * [misc]simplify: iters left: 5 (29 enodes) 1554304295.651 * * [misc]simplify: iters left: 4 (34 enodes) 1554304295.662 * * [misc]simplify: iters left: 3 (36 enodes) 1554304295.672 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.672 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304295.672 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304295.672 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304295.673 * * [misc]simplify: Extracting #4: cost 9 inf + 423 1554304295.673 * * [misc]simplify: Extracting #5: cost 5 inf + 1175 1554304295.674 * * [misc]simplify: Extracting #6: cost 0 inf + 2680 1554304295.674 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554304295.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))))) 1554304295.674 * * * * [misc]progress: [ 158 / 261 ] simplifiying candidate # 1554304295.675 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304295.675 * * [misc]simplify: iters left: 6 (17 enodes) 1554304295.683 * * [misc]simplify: iters left: 5 (60 enodes) 1554304295.706 * * [misc]simplify: iters left: 4 (80 enodes) 1554304295.723 * * [misc]simplify: iters left: 3 (89 enodes) 1554304295.735 * * [misc]simplify: iters left: 2 (92 enodes) 1554304295.748 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.748 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304295.749 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304295.749 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554304295.749 * * [misc]simplify: Extracting #4: cost 39 inf + 0 1554304295.749 * * [misc]simplify: Extracting #5: cost 36 inf + 47 1554304295.750 * * [misc]simplify: Extracting #6: cost 20 inf + 3124 1554304295.752 * * [misc]simplify: Extracting #7: cost 3 inf + 14008 1554304295.755 * * [misc]simplify: Extracting #8: cost 1 inf + 15698 1554304295.759 * * [misc]simplify: Extracting #9: cost 0 inf + 16523 1554304295.762 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304295.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304295.762 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304295.762 * * [misc]simplify: iters left: 6 (15 enodes) 1554304295.766 * * [misc]simplify: iters left: 5 (48 enodes) 1554304295.773 * * [misc]simplify: iters left: 4 (53 enodes) 1554304295.780 * * [misc]simplify: iters left: 3 (55 enodes) 1554304295.788 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.788 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304295.788 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304295.788 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304295.788 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554304295.788 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304295.788 * * [misc]simplify: Extracting #6: cost 8 inf + 2496 1554304295.789 * * [misc]simplify: Extracting #7: cost 0 inf + 6057 1554304295.790 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304295.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304295.790 * * * * [misc]progress: [ 159 / 261 ] simplifiying candidate # 1554304295.791 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304295.791 * * [misc]simplify: iters left: 6 (16 enodes) 1554304295.801 * * [misc]simplify: iters left: 5 (53 enodes) 1554304295.817 * * [misc]simplify: iters left: 4 (62 enodes) 1554304295.828 * * [misc]simplify: iters left: 3 (67 enodes) 1554304295.838 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.838 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304295.838 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304295.838 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1554304295.838 * * [misc]simplify: Extracting #4: cost 31 inf + 0 1554304295.838 * * [misc]simplify: Extracting #5: cost 28 inf + 47 1554304295.838 * * [misc]simplify: Extracting #6: cost 15 inf + 2414 1554304295.839 * * [misc]simplify: Extracting #7: cost 2 inf + 8415 1554304295.840 * * [misc]simplify: Extracting #8: cost 0 inf + 10025 1554304295.841 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304295.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304295.841 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304295.841 * * [misc]simplify: iters left: 6 (15 enodes) 1554304295.845 * * [misc]simplify: iters left: 5 (48 enodes) 1554304295.854 * * [misc]simplify: iters left: 4 (53 enodes) 1554304295.861 * * [misc]simplify: iters left: 3 (55 enodes) 1554304295.869 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304295.869 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304295.869 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304295.869 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304295.869 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554304295.869 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304295.870 * * [misc]simplify: Extracting #6: cost 8 inf + 2456 1554304295.870 * * [misc]simplify: Extracting #7: cost 0 inf + 5897 1554304295.871 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304295.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304295.871 * * * * [misc]progress: [ 160 / 261 ] simplifiying candidate # 1554304295.871 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304295.871 * * [misc]simplify: iters left: 6 (17 enodes) 1554304295.875 * * [misc]simplify: iters left: 5 (61 enodes) 1554304295.885 * * [misc]simplify: iters left: 4 (90 enodes) 1554304295.908 * * [misc]simplify: iters left: 3 (151 enodes) 1554304295.933 * * [misc]simplify: iters left: 2 (209 enodes) 1554304295.989 * * [misc]simplify: iters left: 1 (238 enodes) 1554304296.032 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.032 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554304296.032 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1554304296.033 * * [misc]simplify: Extracting #3: cost 56 inf + 43 1554304296.033 * * [misc]simplify: Extracting #4: cost 60 inf + 85 1554304296.034 * * [misc]simplify: Extracting #5: cost 51 inf + 1581 1554304296.035 * * [misc]simplify: Extracting #6: cost 35 inf + 5809 1554304296.041 * * [misc]simplify: Extracting #7: cost 4 inf + 23020 1554304296.050 * * [misc]simplify: Extracting #8: cost 0 inf + 25397 1554304296.058 * [exit]simplify: Simplified to (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304296.058 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304296.059 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304296.059 * * [misc]simplify: iters left: 6 (16 enodes) 1554304296.064 * * [misc]simplify: iters left: 5 (54 enodes) 1554304296.072 * * [misc]simplify: iters left: 4 (62 enodes) 1554304296.083 * * [misc]simplify: iters left: 3 (66 enodes) 1554304296.092 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.092 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304296.092 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304296.092 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304296.092 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304296.092 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554304296.092 * * [misc]simplify: Extracting #6: cost 6 inf + 4228 1554304296.093 * * [misc]simplify: Extracting #7: cost 1 inf + 7440 1554304296.094 * * [misc]simplify: Extracting #8: cost 0 inf + 8345 1554304296.095 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304296.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304296.095 * * * * [misc]progress: [ 161 / 261 ] simplifiying candidate # 1554304296.095 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304296.095 * * [misc]simplify: iters left: 6 (17 enodes) 1554304296.099 * * [misc]simplify: iters left: 5 (61 enodes) 1554304296.112 * * [misc]simplify: iters left: 4 (90 enodes) 1554304296.141 * * [misc]simplify: iters left: 3 (151 enodes) 1554304296.177 * * [misc]simplify: iters left: 2 (209 enodes) 1554304296.226 * * [misc]simplify: iters left: 1 (238 enodes) 1554304296.277 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.277 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554304296.278 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1554304296.278 * * [misc]simplify: Extracting #3: cost 56 inf + 43 1554304296.279 * * [misc]simplify: Extracting #4: cost 60 inf + 85 1554304296.279 * * [misc]simplify: Extracting #5: cost 51 inf + 1581 1554304296.281 * * [misc]simplify: Extracting #6: cost 35 inf + 5809 1554304296.287 * * [misc]simplify: Extracting #7: cost 4 inf + 23020 1554304296.296 * * [misc]simplify: Extracting #8: cost 0 inf + 25397 1554304296.304 * [exit]simplify: Simplified to (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304296.304 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304296.305 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304296.305 * * [misc]simplify: iters left: 6 (16 enodes) 1554304296.313 * * [misc]simplify: iters left: 5 (54 enodes) 1554304296.329 * * [misc]simplify: iters left: 4 (62 enodes) 1554304296.346 * * [misc]simplify: iters left: 3 (66 enodes) 1554304296.364 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.364 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304296.364 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304296.364 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304296.364 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304296.365 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554304296.366 * * [misc]simplify: Extracting #6: cost 6 inf + 4228 1554304296.367 * * [misc]simplify: Extracting #7: cost 1 inf + 7440 1554304296.369 * * [misc]simplify: Extracting #8: cost 0 inf + 8345 1554304296.370 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304296.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304296.370 * * * * [misc]progress: [ 162 / 261 ] simplifiying candidate # 1554304296.371 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304296.371 * * [misc]simplify: iters left: 6 (19 enodes) 1554304296.380 * * [misc]simplify: iters left: 5 (70 enodes) 1554304296.403 * * [misc]simplify: iters left: 4 (121 enodes) 1554304296.441 * * [misc]simplify: iters left: 3 (230 enodes) 1554304296.506 * * [misc]simplify: iters left: 2 (387 enodes) 1554304296.639 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.639 * * [misc]simplify: Extracting #1: cost 52 inf + 0 1554304296.640 * * [misc]simplify: Extracting #2: cost 93 inf + 0 1554304296.641 * * [misc]simplify: Extracting #3: cost 100 inf + 0 1554304296.642 * * [misc]simplify: Extracting #4: cost 105 inf + 2 1554304296.643 * * [misc]simplify: Extracting #5: cost 90 inf + 2759 1554304296.651 * * [misc]simplify: Extracting #6: cost 40 inf + 34902 1554304296.671 * * [misc]simplify: Extracting #7: cost 2 inf + 66831 1554304296.682 * * [misc]simplify: Extracting #8: cost 0 inf + 67739 1554304296.693 * * [misc]simplify: Extracting #9: cost 0 inf + 67699 1554304296.713 * [exit]simplify: Simplified to (* (* (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 (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304296.713 * [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 (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304296.713 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304296.713 * * [misc]simplify: iters left: 6 (16 enodes) 1554304296.717 * * [misc]simplify: iters left: 5 (53 enodes) 1554304296.725 * * [misc]simplify: iters left: 4 (63 enodes) 1554304296.734 * * [misc]simplify: iters left: 3 (69 enodes) 1554304296.743 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.743 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304296.743 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304296.743 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304296.743 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304296.743 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554304296.744 * * [misc]simplify: Extracting #6: cost 13 inf + 2776 1554304296.744 * * [misc]simplify: Extracting #7: cost 1 inf + 8352 1554304296.746 * * [misc]simplify: Extracting #8: cost 0 inf + 9257 1554304296.747 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304296.748 * [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 (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304296.748 * * * * [misc]progress: [ 163 / 261 ] simplifiying candidate # 1554304296.748 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304296.748 * * [misc]simplify: iters left: 6 (18 enodes) 1554304296.757 * * [misc]simplify: iters left: 5 (63 enodes) 1554304296.779 * * [misc]simplify: iters left: 4 (92 enodes) 1554304296.800 * * [misc]simplify: iters left: 3 (153 enodes) 1554304296.830 * * [misc]simplify: iters left: 2 (213 enodes) 1554304296.905 * * [misc]simplify: iters left: 1 (244 enodes) 1554304296.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304296.974 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554304296.974 * * [misc]simplify: Extracting #2: cost 53 inf + 0 1554304296.974 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554304296.974 * * [misc]simplify: Extracting #4: cost 65 inf + 2 1554304296.974 * * [misc]simplify: Extracting #5: cost 60 inf + 490 1554304296.975 * * [misc]simplify: Extracting #6: cost 41 inf + 6886 1554304296.979 * * [misc]simplify: Extracting #7: cost 6 inf + 28161 1554304296.983 * * [misc]simplify: Extracting #8: cost 0 inf + 32267 1554304296.990 * [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)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304296.990 * [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)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304296.990 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304296.990 * * [misc]simplify: iters left: 6 (16 enodes) 1554304296.994 * * [misc]simplify: iters left: 5 (53 enodes) 1554304297.007 * * [misc]simplify: iters left: 4 (63 enodes) 1554304297.024 * * [misc]simplify: iters left: 3 (69 enodes) 1554304297.036 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.036 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304297.036 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304297.036 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304297.036 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304297.036 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554304297.037 * * [misc]simplify: Extracting #6: cost 13 inf + 2736 1554304297.037 * * [misc]simplify: Extracting #7: cost 1 inf + 8072 1554304297.038 * * [misc]simplify: Extracting #8: cost 0 inf + 8937 1554304297.039 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.039 * [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)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304297.039 * * * * [misc]progress: [ 164 / 261 ] simplifiying candidate # 1554304297.039 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554304297.040 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.044 * * [misc]simplify: iters left: 5 (57 enodes) 1554304297.053 * * [misc]simplify: iters left: 4 (88 enodes) 1554304297.078 * * [misc]simplify: iters left: 3 (125 enodes) 1554304297.104 * * [misc]simplify: iters left: 2 (159 enodes) 1554304297.143 * * [misc]simplify: iters left: 1 (190 enodes) 1554304297.182 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.182 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304297.182 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554304297.182 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554304297.182 * * [misc]simplify: Extracting #4: cost 41 inf + 2 1554304297.182 * * [misc]simplify: Extracting #5: cost 37 inf + 250 1554304297.183 * * [misc]simplify: Extracting #6: cost 17 inf + 5666 1554304297.185 * * [misc]simplify: Extracting #7: cost 2 inf + 12799 1554304297.188 * * [misc]simplify: Extracting #8: cost 0 inf + 14027 1554304297.190 * [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)))) 1554304297.190 * [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)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304297.191 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304297.191 * * [misc]simplify: iters left: 6 (15 enodes) 1554304297.194 * * [misc]simplify: iters left: 5 (50 enodes) 1554304297.207 * * [misc]simplify: iters left: 4 (60 enodes) 1554304297.224 * * [misc]simplify: iters left: 3 (66 enodes) 1554304297.237 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.238 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304297.238 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304297.238 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304297.238 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554304297.238 * * [misc]simplify: Extracting #5: cost 22 inf + 412 1554304297.238 * * [misc]simplify: Extracting #6: cost 8 inf + 3365 1554304297.239 * * [misc]simplify: Extracting #7: cost 0 inf + 8029 1554304297.240 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304297.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304297.240 * * * * [misc]progress: [ 165 / 261 ] simplifiying candidate # 1554304297.240 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304297.240 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.244 * * [misc]simplify: iters left: 5 (56 enodes) 1554304297.252 * * [misc]simplify: iters left: 4 (74 enodes) 1554304297.265 * * [misc]simplify: iters left: 3 (95 enodes) 1554304297.293 * * [misc]simplify: iters left: 2 (108 enodes) 1554304297.309 * * [misc]simplify: iters left: 1 (113 enodes) 1554304297.324 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.324 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304297.324 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1554304297.324 * * [misc]simplify: Extracting #3: cost 37 inf + 43 1554304297.324 * * [misc]simplify: Extracting #4: cost 41 inf + 85 1554304297.325 * * [misc]simplify: Extracting #5: cost 34 inf + 779 1554304297.325 * * [misc]simplify: Extracting #6: cost 22 inf + 3506 1554304297.327 * * [misc]simplify: Extracting #7: cost 4 inf + 12581 1554304297.329 * * [misc]simplify: Extracting #8: cost 0 inf + 14840 1554304297.332 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554304297.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304297.333 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304297.333 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.341 * * [misc]simplify: iters left: 5 (54 enodes) 1554304297.356 * * [misc]simplify: iters left: 4 (62 enodes) 1554304297.374 * * [misc]simplify: iters left: 3 (66 enodes) 1554304297.395 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.395 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304297.395 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304297.395 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304297.395 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304297.396 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554304297.397 * * [misc]simplify: Extracting #6: cost 6 inf + 4068 1554304297.398 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554304297.400 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554304297.401 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304297.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304297.402 * * * * [misc]progress: [ 166 / 261 ] simplifiying candidate # 1554304297.402 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304297.402 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.410 * * [misc]simplify: iters left: 5 (56 enodes) 1554304297.422 * * [misc]simplify: iters left: 4 (74 enodes) 1554304297.433 * * [misc]simplify: iters left: 3 (95 enodes) 1554304297.446 * * [misc]simplify: iters left: 2 (108 enodes) 1554304297.472 * * [misc]simplify: iters left: 1 (113 enodes) 1554304297.497 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.497 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304297.497 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1554304297.497 * * [misc]simplify: Extracting #3: cost 37 inf + 43 1554304297.497 * * [misc]simplify: Extracting #4: cost 41 inf + 85 1554304297.497 * * [misc]simplify: Extracting #5: cost 34 inf + 779 1554304297.498 * * [misc]simplify: Extracting #6: cost 22 inf + 3506 1554304297.501 * * [misc]simplify: Extracting #7: cost 4 inf + 12581 1554304297.503 * * [misc]simplify: Extracting #8: cost 0 inf + 14840 1554304297.505 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554304297.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304297.505 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304297.505 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.509 * * [misc]simplify: iters left: 5 (54 enodes) 1554304297.517 * * [misc]simplify: iters left: 4 (62 enodes) 1554304297.531 * * [misc]simplify: iters left: 3 (66 enodes) 1554304297.548 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.549 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304297.549 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304297.549 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304297.549 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304297.549 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554304297.550 * * [misc]simplify: Extracting #6: cost 6 inf + 4068 1554304297.552 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554304297.553 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554304297.555 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304297.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304297.555 * * * * [misc]progress: [ 167 / 261 ] simplifiying candidate # 1554304297.555 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304297.556 * * [misc]simplify: iters left: 6 (18 enodes) 1554304297.564 * * [misc]simplify: iters left: 5 (63 enodes) 1554304297.584 * * [misc]simplify: iters left: 4 (89 enodes) 1554304297.612 * * [misc]simplify: iters left: 3 (129 enodes) 1554304297.649 * * [misc]simplify: iters left: 2 (176 enodes) 1554304297.676 * * [misc]simplify: iters left: 1 (206 enodes) 1554304297.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.707 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1554304297.707 * * [misc]simplify: Extracting #2: cost 51 inf + 0 1554304297.707 * * [misc]simplify: Extracting #3: cost 58 inf + 0 1554304297.708 * * [misc]simplify: Extracting #4: cost 63 inf + 2 1554304297.708 * * [misc]simplify: Extracting #5: cost 59 inf + 249 1554304297.708 * * [misc]simplify: Extracting #6: cost 48 inf + 2734 1554304297.710 * * [misc]simplify: Extracting #7: cost 27 inf + 13246 1554304297.714 * * [misc]simplify: Extracting #8: cost 3 inf + 30427 1554304297.719 * * [misc]simplify: Extracting #9: cost 0 inf + 33062 1554304297.723 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304297.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304297.724 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.724 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.728 * * [misc]simplify: iters left: 5 (53 enodes) 1554304297.735 * * [misc]simplify: iters left: 4 (63 enodes) 1554304297.744 * * [misc]simplify: iters left: 3 (69 enodes) 1554304297.753 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.753 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304297.753 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304297.753 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304297.753 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304297.754 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554304297.754 * * [misc]simplify: Extracting #6: cost 13 inf + 2656 1554304297.755 * * [misc]simplify: Extracting #7: cost 1 inf + 8072 1554304297.755 * * [misc]simplify: Extracting #8: cost 0 inf + 8937 1554304297.756 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304297.757 * * * * [misc]progress: [ 168 / 261 ] simplifiying candidate # 1554304297.757 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.757 * * [misc]simplify: iters left: 6 (17 enodes) 1554304297.765 * * [misc]simplify: iters left: 5 (58 enodes) 1554304297.778 * * [misc]simplify: iters left: 4 (76 enodes) 1554304297.790 * * [misc]simplify: iters left: 3 (97 enodes) 1554304297.804 * * [misc]simplify: iters left: 2 (110 enodes) 1554304297.828 * * [misc]simplify: iters left: 1 (115 enodes) 1554304297.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.860 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304297.860 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554304297.860 * * [misc]simplify: Extracting #3: cost 41 inf + 0 1554304297.860 * * [misc]simplify: Extracting #4: cost 46 inf + 2 1554304297.860 * * [misc]simplify: Extracting #5: cost 43 inf + 168 1554304297.861 * * [misc]simplify: Extracting #6: cost 33 inf + 2077 1554304297.863 * * [misc]simplify: Extracting #7: cost 12 inf + 11819 1554304297.868 * * [misc]simplify: Extracting #8: cost 1 inf + 18667 1554304297.873 * * [misc]simplify: Extracting #9: cost 0 inf + 19492 1554304297.878 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304297.879 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.879 * * [misc]simplify: iters left: 6 (16 enodes) 1554304297.887 * * [misc]simplify: iters left: 5 (53 enodes) 1554304297.904 * * [misc]simplify: iters left: 4 (63 enodes) 1554304297.924 * * [misc]simplify: iters left: 3 (69 enodes) 1554304297.943 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304297.943 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304297.943 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304297.944 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304297.944 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304297.944 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554304297.944 * * [misc]simplify: Extracting #6: cost 13 inf + 2616 1554304297.946 * * [misc]simplify: Extracting #7: cost 1 inf + 7792 1554304297.948 * * [misc]simplify: Extracting #8: cost 0 inf + 8617 1554304297.950 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304297.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304297.950 * * * * [misc]progress: [ 169 / 261 ] simplifiying candidate # 1554304297.950 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1554304297.950 * * [misc]simplify: iters left: 6 (15 enodes) 1554304297.958 * * [misc]simplify: iters left: 5 (52 enodes) 1554304297.973 * * [misc]simplify: iters left: 4 (65 enodes) 1554304297.985 * * [misc]simplify: iters left: 3 (78 enodes) 1554304297.996 * * [misc]simplify: iters left: 2 (85 enodes) 1554304298.008 * * [misc]simplify: iters left: 1 (90 enodes) 1554304298.030 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.030 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554304298.031 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554304298.031 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304298.031 * * [misc]simplify: Extracting #4: cost 24 inf + 205 1554304298.031 * * [misc]simplify: Extracting #5: cost 22 inf + 291 1554304298.032 * * [misc]simplify: Extracting #6: cost 10 inf + 2738 1554304298.033 * * [misc]simplify: Extracting #7: cost 1 inf + 7091 1554304298.036 * * [misc]simplify: Extracting #8: cost 0 inf + 7665 1554304298.108 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554304298.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304298.108 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304298.109 * * [misc]simplify: iters left: 6 (15 enodes) 1554304298.118 * * [misc]simplify: iters left: 5 (50 enodes) 1554304298.133 * * [misc]simplify: iters left: 4 (60 enodes) 1554304298.149 * * [misc]simplify: iters left: 3 (66 enodes) 1554304298.168 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.168 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304298.168 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304298.168 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304298.168 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554304298.169 * * [misc]simplify: Extracting #5: cost 22 inf + 332 1554304298.169 * * [misc]simplify: Extracting #6: cost 8 inf + 3245 1554304298.171 * * [misc]simplify: Extracting #7: cost 0 inf + 7709 1554304298.172 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304298.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304298.173 * * * * [misc]progress: [ 170 / 261 ] simplifiying candidate # 1554304298.173 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) 1554304298.173 * * [misc]simplify: iters left: 6 (15 enodes) 1554304298.181 * * [misc]simplify: iters left: 5 (55 enodes) 1554304298.199 * * [misc]simplify: iters left: 4 (71 enodes) 1554304298.222 * * [misc]simplify: iters left: 3 (100 enodes) 1554304298.253 * * [misc]simplify: iters left: 2 (113 enodes) 1554304298.291 * * [misc]simplify: iters left: 1 (144 enodes) 1554304298.335 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.336 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304298.336 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304298.336 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1554304298.336 * * [misc]simplify: Extracting #4: cost 26 inf + 126 1554304298.336 * * [misc]simplify: Extracting #5: cost 26 inf + 251 1554304298.337 * * [misc]simplify: Extracting #6: cost 22 inf + 419 1554304298.338 * * [misc]simplify: Extracting #7: cost 11 inf + 3277 1554304298.340 * * [misc]simplify: Extracting #8: cost 1 inf + 7733 1554304298.343 * * [misc]simplify: Extracting #9: cost 0 inf + 8268 1554304298.346 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304298.346 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304298.346 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304298.346 * * [misc]simplify: iters left: 6 (15 enodes) 1554304298.354 * * [misc]simplify: iters left: 5 (51 enodes) 1554304298.369 * * [misc]simplify: iters left: 4 (59 enodes) 1554304298.386 * * [misc]simplify: iters left: 3 (63 enodes) 1554304298.403 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.403 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304298.404 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304298.404 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554304298.404 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554304298.404 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554304298.405 * * [misc]simplify: Extracting #6: cost 8 inf + 2747 1554304298.406 * * [misc]simplify: Extracting #7: cost 1 inf + 6758 1554304298.408 * * [misc]simplify: Extracting #8: cost 0 inf + 7463 1554304298.409 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304298.409 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304298.410 * * * * [misc]progress: [ 171 / 261 ] simplifiying candidate # 1554304298.410 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) 1554304298.410 * * [misc]simplify: iters left: 6 (15 enodes) 1554304298.420 * * [misc]simplify: iters left: 5 (55 enodes) 1554304298.437 * * [misc]simplify: iters left: 4 (71 enodes) 1554304298.460 * * [misc]simplify: iters left: 3 (100 enodes) 1554304298.489 * * [misc]simplify: iters left: 2 (113 enodes) 1554304298.506 * * [misc]simplify: iters left: 1 (144 enodes) 1554304298.541 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.541 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304298.541 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304298.541 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1554304298.542 * * [misc]simplify: Extracting #4: cost 26 inf + 126 1554304298.542 * * [misc]simplify: Extracting #5: cost 26 inf + 251 1554304298.542 * * [misc]simplify: Extracting #6: cost 22 inf + 419 1554304298.543 * * [misc]simplify: Extracting #7: cost 11 inf + 3277 1554304298.546 * * [misc]simplify: Extracting #8: cost 1 inf + 7733 1554304298.548 * * [misc]simplify: Extracting #9: cost 0 inf + 8268 1554304298.551 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304298.551 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304298.552 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304298.552 * * [misc]simplify: iters left: 6 (15 enodes) 1554304298.559 * * [misc]simplify: iters left: 5 (51 enodes) 1554304298.575 * * [misc]simplify: iters left: 4 (59 enodes) 1554304298.592 * * [misc]simplify: iters left: 3 (63 enodes) 1554304298.609 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.609 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304298.609 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304298.609 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554304298.610 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554304298.610 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554304298.610 * * [misc]simplify: Extracting #6: cost 8 inf + 2747 1554304298.611 * * [misc]simplify: Extracting #7: cost 1 inf + 6758 1554304298.611 * * [misc]simplify: Extracting #8: cost 0 inf + 7463 1554304298.612 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304298.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304298.612 * * * * [misc]progress: [ 172 / 261 ] simplifiying candidate # 1554304298.613 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304298.613 * * [misc]simplify: iters left: 6 (17 enodes) 1554304298.617 * * [misc]simplify: iters left: 5 (62 enodes) 1554304298.627 * * [misc]simplify: iters left: 4 (86 enodes) 1554304298.641 * * [misc]simplify: iters left: 3 (136 enodes) 1554304298.690 * * [misc]simplify: iters left: 2 (180 enodes) 1554304298.763 * * [misc]simplify: iters left: 1 (269 enodes) 1554304298.865 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.865 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304298.865 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554304298.866 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554304298.866 * * [misc]simplify: Extracting #4: cost 43 inf + 2 1554304298.866 * * [misc]simplify: Extracting #5: cost 44 inf + 5 1554304298.866 * * [misc]simplify: Extracting #6: cost 33 inf + 1665 1554304298.867 * * [misc]simplify: Extracting #7: cost 14 inf + 11058 1554304298.870 * * [misc]simplify: Extracting #8: cost 1 inf + 19084 1554304298.874 * * [misc]simplify: Extracting #9: cost 0 inf + 19870 1554304298.878 * [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)))))) 1554304298.878 * [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 (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304298.878 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304298.878 * * [misc]simplify: iters left: 6 (15 enodes) 1554304298.882 * * [misc]simplify: iters left: 5 (50 enodes) 1554304298.894 * * [misc]simplify: iters left: 4 (60 enodes) 1554304298.911 * * [misc]simplify: iters left: 3 (66 enodes) 1554304298.929 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304298.929 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304298.929 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304298.929 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304298.929 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554304298.930 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554304298.930 * * [misc]simplify: Extracting #6: cost 9 inf + 3830 1554304298.932 * * [misc]simplify: Extracting #7: cost 0 inf + 8535 1554304298.934 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304298.934 * [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 (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304298.934 * * * * [misc]progress: [ 173 / 261 ] simplifiying candidate # 1554304298.934 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304298.935 * * [misc]simplify: iters left: 6 (16 enodes) 1554304298.943 * * [misc]simplify: iters left: 5 (57 enodes) 1554304298.961 * * [misc]simplify: iters left: 4 (73 enodes) 1554304298.987 * * [misc]simplify: iters left: 3 (102 enodes) 1554304299.012 * * [misc]simplify: iters left: 2 (115 enodes) 1554304299.029 * * [misc]simplify: iters left: 1 (146 enodes) 1554304299.052 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.052 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304299.052 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554304299.052 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304299.052 * * [misc]simplify: Extracting #4: cost 31 inf + 2 1554304299.052 * * [misc]simplify: Extracting #5: cost 32 inf + 5 1554304299.052 * * [misc]simplify: Extracting #6: cost 27 inf + 215 1554304299.052 * * [misc]simplify: Extracting #7: cost 17 inf + 2416 1554304299.053 * * [misc]simplify: Extracting #8: cost 4 inf + 8967 1554304299.055 * * [misc]simplify: Extracting #9: cost 0 inf + 11288 1554304299.057 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304299.057 * [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 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304299.057 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304299.057 * * [misc]simplify: iters left: 6 (15 enodes) 1554304299.061 * * [misc]simplify: iters left: 5 (50 enodes) 1554304299.078 * * [misc]simplify: iters left: 4 (60 enodes) 1554304299.096 * * [misc]simplify: iters left: 3 (66 enodes) 1554304299.111 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.111 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304299.112 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304299.112 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304299.112 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554304299.112 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554304299.112 * * [misc]simplify: Extracting #6: cost 9 inf + 3710 1554304299.113 * * [misc]simplify: Extracting #7: cost 0 inf + 8215 1554304299.114 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304299.114 * [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 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304299.114 * * * * [misc]progress: [ 174 / 261 ] simplifiying candidate # 1554304299.114 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)) 1554304299.114 * * [misc]simplify: iters left: 6 (13 enodes) 1554304299.118 * * [misc]simplify: iters left: 5 (44 enodes) 1554304299.125 * * [misc]simplify: iters left: 4 (55 enodes) 1554304299.133 * * [misc]simplify: iters left: 3 (61 enodes) 1554304299.145 * * [misc]simplify: iters left: 2 (62 enodes) 1554304299.159 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.159 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304299.159 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304299.159 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304299.159 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304299.159 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554304299.159 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554304299.160 * * [misc]simplify: Extracting #7: cost 7 inf + 919 1554304299.160 * * [misc]simplify: Extracting #8: cost 1 inf + 3444 1554304299.161 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554304299.162 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304299.162 * [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))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304299.163 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304299.163 * * [misc]simplify: iters left: 6 (14 enodes) 1554304299.169 * * [misc]simplify: iters left: 5 (47 enodes) 1554304299.181 * * [misc]simplify: iters left: 4 (57 enodes) 1554304299.202 * * [misc]simplify: iters left: 3 (63 enodes) 1554304299.218 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.218 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304299.218 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304299.219 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554304299.219 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554304299.219 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554304299.219 * * [misc]simplify: Extracting #6: cost 8 inf + 3534 1554304299.221 * * [misc]simplify: Extracting #7: cost 0 inf + 7307 1554304299.222 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304299.223 * [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))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304299.223 * * * * [misc]progress: [ 175 / 261 ] simplifiying candidate # 1554304299.223 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554304299.223 * * [misc]simplify: iters left: 6 (12 enodes) 1554304299.230 * * [misc]simplify: iters left: 5 (41 enodes) 1554304299.243 * * [misc]simplify: iters left: 4 (56 enodes) 1554304299.259 * * [misc]simplify: iters left: 3 (59 enodes) 1554304299.267 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.267 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304299.267 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304299.268 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304299.268 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304299.268 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554304299.268 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554304299.268 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554304299.268 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554304299.269 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554304299.269 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304299.269 * [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))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304299.270 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304299.270 * * [misc]simplify: iters left: 6 (14 enodes) 1554304299.273 * * [misc]simplify: iters left: 5 (47 enodes) 1554304299.280 * * [misc]simplify: iters left: 4 (57 enodes) 1554304299.288 * * [misc]simplify: iters left: 3 (63 enodes) 1554304299.300 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.300 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304299.300 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304299.300 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554304299.301 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554304299.301 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554304299.301 * * [misc]simplify: Extracting #6: cost 8 inf + 3534 1554304299.303 * * [misc]simplify: Extracting #7: cost 0 inf + 7307 1554304299.304 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304299.304 * [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))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304299.305 * * * * [misc]progress: [ 176 / 261 ] simplifiying candidate # 1554304299.305 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) 1554304299.305 * * [misc]simplify: iters left: 6 (12 enodes) 1554304299.311 * * [misc]simplify: iters left: 5 (41 enodes) 1554304299.326 * * [misc]simplify: iters left: 4 (50 enodes) 1554304299.340 * * [misc]simplify: iters left: 3 (55 enodes) 1554304299.356 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.356 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304299.356 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304299.356 * * [misc]simplify: Extracting #3: cost 15 inf + 42 1554304299.356 * * [misc]simplify: Extracting #4: cost 21 inf + 83 1554304299.356 * * [misc]simplify: Extracting #5: cost 20 inf + 128 1554304299.357 * * [misc]simplify: Extracting #6: cost 5 inf + 4097 1554304299.358 * * [misc]simplify: Extracting #7: cost 1 inf + 5580 1554304299.359 * * [misc]simplify: Extracting #8: cost 0 inf + 6114 1554304299.360 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304299.361 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304299.361 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304299.361 * * [misc]simplify: iters left: 6 (14 enodes) 1554304299.368 * * [misc]simplify: iters left: 5 (49 enodes) 1554304299.383 * * [misc]simplify: iters left: 4 (57 enodes) 1554304299.399 * * [misc]simplify: iters left: 3 (66 enodes) 1554304299.408 * * [misc]simplify: iters left: 2 (67 enodes) 1554304299.418 * * [misc]simplify: iters left: 1 (69 enodes) 1554304299.427 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.427 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304299.428 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304299.428 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304299.428 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554304299.428 * * [misc]simplify: Extracting #5: cost 21 inf + 48 1554304299.429 * * [misc]simplify: Extracting #6: cost 5 inf + 3256 1554304299.430 * * [misc]simplify: Extracting #7: cost 1 inf + 5125 1554304299.431 * * [misc]simplify: Extracting #8: cost 0 inf + 5580 1554304299.433 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304299.433 * [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 k)) (* (pow PI (- 1/2 (/ k 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304299.433 * * * * [misc]progress: [ 177 / 261 ] simplifiying candidate # 1554304299.433 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI 1/2))) 1554304299.433 * * [misc]simplify: iters left: 6 (15 enodes) 1554304299.441 * * [misc]simplify: iters left: 5 (53 enodes) 1554304299.458 * * [misc]simplify: iters left: 4 (71 enodes) 1554304299.468 * * [misc]simplify: iters left: 3 (92 enodes) 1554304299.481 * * [misc]simplify: iters left: 2 (105 enodes) 1554304299.504 * * [misc]simplify: iters left: 1 (110 enodes) 1554304299.525 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.525 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304299.525 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1554304299.526 * * [misc]simplify: Extracting #3: cost 33 inf + 85 1554304299.526 * * [misc]simplify: Extracting #4: cost 35 inf + 411 1554304299.526 * * [misc]simplify: Extracting #5: cost 33 inf + 699 1554304299.526 * * [misc]simplify: Extracting #6: cost 21 inf + 4292 1554304299.528 * * [misc]simplify: Extracting #7: cost 3 inf + 12395 1554304299.530 * * [misc]simplify: Extracting #8: cost 0 inf + 13918 1554304299.532 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304299.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1554304299.532 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554304299.532 * * [misc]simplify: iters left: 6 (12 enodes) 1554304299.535 * * [misc]simplify: iters left: 5 (39 enodes) 1554304299.541 * * [misc]simplify: iters left: 4 (44 enodes) 1554304299.552 * * [misc]simplify: iters left: 3 (46 enodes) 1554304299.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.563 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304299.563 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304299.563 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304299.563 * * [misc]simplify: Extracting #4: cost 15 inf + 87 1554304299.563 * * [misc]simplify: Extracting #5: cost 10 inf + 761 1554304299.563 * * [misc]simplify: Extracting #6: cost 5 inf + 1718 1554304299.564 * * [misc]simplify: Extracting #7: cost 1 inf + 3252 1554304299.564 * * [misc]simplify: Extracting #8: cost 0 inf + 3917 1554304299.564 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554304299.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1554304299.565 * * * * [misc]progress: [ 178 / 261 ] simplifiying candidate # 1554304299.565 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304299.565 * * [misc]simplify: iters left: 6 (16 enodes) 1554304299.569 * * [misc]simplify: iters left: 5 (53 enodes) 1554304299.576 * * [misc]simplify: iters left: 4 (60 enodes) 1554304299.584 * * [misc]simplify: iters left: 3 (62 enodes) 1554304299.597 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.597 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304299.597 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304299.597 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304299.598 * * [misc]simplify: Extracting #4: cost 29 inf + 0 1554304299.598 * * [misc]simplify: Extracting #5: cost 25 inf + 88 1554304299.598 * * [misc]simplify: Extracting #6: cost 12 inf + 2456 1554304299.599 * * [misc]simplify: Extracting #7: cost 2 inf + 6925 1554304299.601 * * [misc]simplify: Extracting #8: cost 0 inf + 8535 1554304299.603 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304299.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304299.603 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304299.603 * * [misc]simplify: iters left: 6 (15 enodes) 1554304299.608 * * [misc]simplify: iters left: 5 (48 enodes) 1554304299.615 * * [misc]simplify: iters left: 4 (53 enodes) 1554304299.622 * * [misc]simplify: iters left: 3 (55 enodes) 1554304299.630 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.630 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304299.630 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304299.630 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304299.630 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554304299.630 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304299.630 * * [misc]simplify: Extracting #6: cost 8 inf + 2456 1554304299.631 * * [misc]simplify: Extracting #7: cost 0 inf + 5897 1554304299.632 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304299.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304299.632 * * * * [misc]progress: [ 179 / 261 ] simplifiying candidate # 1554304299.632 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304299.632 * * [misc]simplify: iters left: 6 (15 enodes) 1554304299.640 * * [misc]simplify: iters left: 5 (48 enodes) 1554304299.654 * * [misc]simplify: iters left: 4 (53 enodes) 1554304299.667 * * [misc]simplify: iters left: 3 (55 enodes) 1554304299.674 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.674 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304299.674 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304299.674 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304299.674 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554304299.674 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304299.675 * * [misc]simplify: Extracting #6: cost 8 inf + 2416 1554304299.675 * * [misc]simplify: Extracting #7: cost 0 inf + 5737 1554304299.676 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304299.676 * [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 (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304299.676 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304299.676 * * [misc]simplify: iters left: 6 (15 enodes) 1554304299.680 * * [misc]simplify: iters left: 5 (48 enodes) 1554304299.687 * * [misc]simplify: iters left: 4 (53 enodes) 1554304299.696 * * [misc]simplify: iters left: 3 (55 enodes) 1554304299.711 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.711 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304299.711 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304299.711 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304299.711 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554304299.711 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554304299.712 * * [misc]simplify: Extracting #6: cost 8 inf + 2416 1554304299.713 * * [misc]simplify: Extracting #7: cost 0 inf + 5737 1554304299.714 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304299.714 * [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 (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304299.714 * * * * [misc]progress: [ 180 / 261 ] simplifiying candidate # 1554304299.715 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304299.715 * * [misc]simplify: iters left: 6 (16 enodes) 1554304299.723 * * [misc]simplify: iters left: 5 (56 enodes) 1554304299.739 * * [misc]simplify: iters left: 4 (73 enodes) 1554304299.761 * * [misc]simplify: iters left: 3 (94 enodes) 1554304299.789 * * [misc]simplify: iters left: 2 (100 enodes) 1554304299.815 * * [misc]simplify: iters left: 1 (108 enodes) 1554304299.842 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.842 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304299.842 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304299.842 * * [misc]simplify: Extracting #3: cost 35 inf + 43 1554304299.842 * * [misc]simplify: Extracting #4: cost 38 inf + 126 1554304299.843 * * [misc]simplify: Extracting #5: cost 27 inf + 1947 1554304299.844 * * [misc]simplify: Extracting #6: cost 17 inf + 3978 1554304299.847 * * [misc]simplify: Extracting #7: cost 1 inf + 11943 1554304299.850 * * [misc]simplify: Extracting #8: cost 0 inf + 12477 1554304299.853 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1554304299.853 * [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))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304299.854 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304299.854 * * [misc]simplify: iters left: 6 (16 enodes) 1554304299.861 * * [misc]simplify: iters left: 5 (54 enodes) 1554304299.878 * * [misc]simplify: iters left: 4 (62 enodes) 1554304299.892 * * [misc]simplify: iters left: 3 (66 enodes) 1554304299.903 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.903 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304299.903 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304299.903 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304299.904 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304299.904 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554304299.904 * * [misc]simplify: Extracting #6: cost 6 inf + 4148 1554304299.905 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554304299.906 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554304299.906 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304299.907 * [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))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304299.907 * * * * [misc]progress: [ 181 / 261 ] simplifiying candidate # 1554304299.907 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304299.907 * * [misc]simplify: iters left: 6 (16 enodes) 1554304299.911 * * [misc]simplify: iters left: 5 (56 enodes) 1554304299.919 * * [misc]simplify: iters left: 4 (73 enodes) 1554304299.939 * * [misc]simplify: iters left: 3 (94 enodes) 1554304299.957 * * [misc]simplify: iters left: 2 (100 enodes) 1554304299.970 * * [misc]simplify: iters left: 1 (108 enodes) 1554304299.983 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304299.984 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304299.984 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554304299.984 * * [misc]simplify: Extracting #3: cost 35 inf + 43 1554304299.984 * * [misc]simplify: Extracting #4: cost 38 inf + 126 1554304299.984 * * [misc]simplify: Extracting #5: cost 27 inf + 1947 1554304299.985 * * [misc]simplify: Extracting #6: cost 17 inf + 3978 1554304299.986 * * [misc]simplify: Extracting #7: cost 1 inf + 11943 1554304299.988 * * [misc]simplify: Extracting #8: cost 0 inf + 12477 1554304299.989 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1554304299.990 * [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))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304299.990 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304299.990 * * [misc]simplify: iters left: 6 (16 enodes) 1554304299.995 * * [misc]simplify: iters left: 5 (54 enodes) 1554304300.003 * * [misc]simplify: iters left: 4 (62 enodes) 1554304300.012 * * [misc]simplify: iters left: 3 (66 enodes) 1554304300.021 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.021 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.021 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304300.021 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304300.021 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304300.021 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554304300.021 * * [misc]simplify: Extracting #6: cost 6 inf + 4148 1554304300.022 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554304300.023 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554304300.024 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304300.024 * [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))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304300.024 * * * * [misc]progress: [ 182 / 261 ] simplifiying candidate # 1554304300.024 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304300.024 * * [misc]simplify: iters left: 6 (18 enodes) 1554304300.028 * * [misc]simplify: iters left: 5 (65 enodes) 1554304300.038 * * [misc]simplify: iters left: 4 (99 enodes) 1554304300.053 * * [misc]simplify: iters left: 3 (138 enodes) 1554304300.076 * * [misc]simplify: iters left: 2 (168 enodes) 1554304300.100 * * [misc]simplify: iters left: 1 (199 enodes) 1554304300.130 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.130 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554304300.130 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554304300.130 * * [misc]simplify: Extracting #3: cost 62 inf + 0 1554304300.130 * * [misc]simplify: Extracting #4: cost 66 inf + 43 1554304300.130 * * [misc]simplify: Extracting #5: cost 62 inf + 490 1554304300.131 * * [misc]simplify: Extracting #6: cost 50 inf + 3667 1554304300.132 * * [misc]simplify: Extracting #7: cost 30 inf + 12892 1554304300.138 * * [misc]simplify: Extracting #8: cost 3 inf + 31784 1554304300.143 * * [misc]simplify: Extracting #9: cost 0 inf + 33466 1554304300.147 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304300.148 * [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)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304300.148 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.148 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.155 * * [misc]simplify: iters left: 5 (53 enodes) 1554304300.171 * * [misc]simplify: iters left: 4 (63 enodes) 1554304300.189 * * [misc]simplify: iters left: 3 (69 enodes) 1554304300.208 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.208 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.208 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304300.208 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304300.208 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304300.209 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554304300.209 * * [misc]simplify: Extracting #6: cost 13 inf + 2696 1554304300.210 * * [misc]simplify: Extracting #7: cost 1 inf + 8072 1554304300.212 * * [misc]simplify: Extracting #8: cost 0 inf + 8937 1554304300.214 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.214 * [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)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304300.214 * * * * [misc]progress: [ 183 / 261 ] simplifiying candidate # 1554304300.215 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.215 * * [misc]simplify: iters left: 6 (17 enodes) 1554304300.223 * * [misc]simplify: iters left: 5 (58 enodes) 1554304300.240 * * [misc]simplify: iters left: 4 (75 enodes) 1554304300.262 * * [misc]simplify: iters left: 3 (96 enodes) 1554304300.291 * * [misc]simplify: iters left: 2 (102 enodes) 1554304300.317 * * [misc]simplify: iters left: 1 (110 enodes) 1554304300.345 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.345 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304300.345 * * [misc]simplify: Extracting #2: cost 32 inf + 0 1554304300.346 * * [misc]simplify: Extracting #3: cost 39 inf + 0 1554304300.346 * * [misc]simplify: Extracting #4: cost 42 inf + 84 1554304300.346 * * [misc]simplify: Extracting #5: cost 37 inf + 614 1554304300.347 * * [misc]simplify: Extracting #6: cost 28 inf + 2149 1554304300.349 * * [misc]simplify: Extracting #7: cost 10 inf + 10399 1554304300.353 * * [misc]simplify: Extracting #8: cost 1 inf + 16169 1554304300.357 * * [misc]simplify: Extracting #9: cost 0 inf + 16663 1554304300.361 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1554304300.361 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304300.362 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.362 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.369 * * [misc]simplify: iters left: 5 (53 enodes) 1554304300.381 * * [misc]simplify: iters left: 4 (63 enodes) 1554304300.390 * * [misc]simplify: iters left: 3 (69 enodes) 1554304300.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.399 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.399 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304300.399 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304300.399 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304300.399 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554304300.400 * * [misc]simplify: Extracting #6: cost 13 inf + 2656 1554304300.400 * * [misc]simplify: Extracting #7: cost 1 inf + 7792 1554304300.401 * * [misc]simplify: Extracting #8: cost 0 inf + 8617 1554304300.404 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304300.404 * * * * [misc]progress: [ 184 / 261 ] simplifiying candidate # 1554304300.404 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554304300.404 * * [misc]simplify: iters left: 6 (15 enodes) 1554304300.409 * * [misc]simplify: iters left: 5 (52 enodes) 1554304300.426 * * [misc]simplify: iters left: 4 (72 enodes) 1554304300.447 * * [misc]simplify: iters left: 3 (85 enodes) 1554304300.468 * * [misc]simplify: iters left: 2 (92 enodes) 1554304300.482 * * [misc]simplify: iters left: 1 (105 enodes) 1554304300.500 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.500 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304300.501 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304300.501 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304300.501 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304300.501 * * [misc]simplify: Extracting #5: cost 22 inf + 1219 1554304300.502 * * [misc]simplify: Extracting #6: cost 8 inf + 4110 1554304300.504 * * [misc]simplify: Extracting #7: cost 0 inf + 8009 1554304300.506 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304300.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304300.507 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304300.507 * * [misc]simplify: iters left: 6 (15 enodes) 1554304300.513 * * [misc]simplify: iters left: 5 (50 enodes) 1554304300.527 * * [misc]simplify: iters left: 4 (60 enodes) 1554304300.536 * * [misc]simplify: iters left: 3 (66 enodes) 1554304300.545 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.545 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.545 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304300.545 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304300.545 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554304300.545 * * [misc]simplify: Extracting #5: cost 22 inf + 412 1554304300.545 * * [misc]simplify: Extracting #6: cost 8 inf + 3285 1554304300.546 * * [misc]simplify: Extracting #7: cost 0 inf + 7709 1554304300.547 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304300.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304300.547 * * * * [misc]progress: [ 185 / 261 ] simplifiying candidate # 1554304300.547 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304300.547 * * [misc]simplify: iters left: 6 (15 enodes) 1554304300.551 * * [misc]simplify: iters left: 5 (51 enodes) 1554304300.564 * * [misc]simplify: iters left: 4 (61 enodes) 1554304300.582 * * [misc]simplify: iters left: 3 (67 enodes) 1554304300.597 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.597 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.597 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304300.597 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554304300.597 * * [misc]simplify: Extracting #4: cost 23 inf + 126 1554304300.597 * * [misc]simplify: Extracting #5: cost 19 inf + 535 1554304300.598 * * [misc]simplify: Extracting #6: cost 8 inf + 2396 1554304300.598 * * [misc]simplify: Extracting #7: cost 0 inf + 5699 1554304300.599 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554304300.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304300.599 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304300.599 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.603 * * [misc]simplify: iters left: 5 (54 enodes) 1554304300.611 * * [misc]simplify: iters left: 4 (62 enodes) 1554304300.623 * * [misc]simplify: iters left: 3 (66 enodes) 1554304300.632 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.632 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.632 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304300.632 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304300.632 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304300.632 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554304300.633 * * [misc]simplify: Extracting #6: cost 6 inf + 3988 1554304300.633 * * [misc]simplify: Extracting #7: cost 1 inf + 6880 1554304300.634 * * [misc]simplify: Extracting #8: cost 0 inf + 7705 1554304300.635 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304300.635 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304300.635 * * * * [misc]progress: [ 186 / 261 ] simplifiying candidate # 1554304300.636 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304300.636 * * [misc]simplify: iters left: 6 (15 enodes) 1554304300.640 * * [misc]simplify: iters left: 5 (51 enodes) 1554304300.647 * * [misc]simplify: iters left: 4 (61 enodes) 1554304300.656 * * [misc]simplify: iters left: 3 (67 enodes) 1554304300.665 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.665 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.665 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304300.665 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554304300.665 * * [misc]simplify: Extracting #4: cost 23 inf + 126 1554304300.665 * * [misc]simplify: Extracting #5: cost 19 inf + 535 1554304300.665 * * [misc]simplify: Extracting #6: cost 8 inf + 2396 1554304300.666 * * [misc]simplify: Extracting #7: cost 0 inf + 5699 1554304300.667 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554304300.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304300.667 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304300.667 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.671 * * [misc]simplify: iters left: 5 (54 enodes) 1554304300.679 * * [misc]simplify: iters left: 4 (62 enodes) 1554304300.688 * * [misc]simplify: iters left: 3 (66 enodes) 1554304300.700 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.700 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.700 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304300.700 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304300.701 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554304300.701 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554304300.702 * * [misc]simplify: Extracting #6: cost 6 inf + 3988 1554304300.706 * * [misc]simplify: Extracting #7: cost 1 inf + 6880 1554304300.707 * * [misc]simplify: Extracting #8: cost 0 inf + 7705 1554304300.709 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554304300.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))))) 1554304300.709 * * * * [misc]progress: [ 187 / 261 ] simplifiying candidate # 1554304300.710 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304300.710 * * [misc]simplify: iters left: 6 (17 enodes) 1554304300.718 * * [misc]simplify: iters left: 5 (58 enodes) 1554304300.732 * * [misc]simplify: iters left: 4 (74 enodes) 1554304300.743 * * [misc]simplify: iters left: 3 (88 enodes) 1554304300.755 * * [misc]simplify: iters left: 2 (96 enodes) 1554304300.779 * * [misc]simplify: iters left: 1 (102 enodes) 1554304300.805 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.805 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554304300.806 * * [misc]simplify: Extracting #2: cost 29 inf + 0 1554304300.806 * * [misc]simplify: Extracting #3: cost 36 inf + 0 1554304300.806 * * [misc]simplify: Extracting #4: cost 39 inf + 84 1554304300.806 * * [misc]simplify: Extracting #5: cost 37 inf + 249 1554304300.807 * * [misc]simplify: Extracting #6: cost 23 inf + 2872 1554304300.809 * * [misc]simplify: Extracting #7: cost 8 inf + 10633 1554304300.813 * * [misc]simplify: Extracting #8: cost 0 inf + 16371 1554304300.817 * [exit]simplify: Simplified to (/ (* (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)))))) 1554304300.817 * [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 (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304300.818 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.818 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.826 * * [misc]simplify: iters left: 5 (53 enodes) 1554304300.840 * * [misc]simplify: iters left: 4 (63 enodes) 1554304300.849 * * [misc]simplify: iters left: 3 (69 enodes) 1554304300.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.859 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.859 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304300.859 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304300.859 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304300.859 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554304300.859 * * [misc]simplify: Extracting #6: cost 13 inf + 2576 1554304300.860 * * [misc]simplify: Extracting #7: cost 1 inf + 7792 1554304300.861 * * [misc]simplify: Extracting #8: cost 0 inf + 8617 1554304300.862 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304300.862 * * * * [misc]progress: [ 188 / 261 ] simplifiying candidate # 1554304300.863 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.863 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.867 * * [misc]simplify: iters left: 5 (53 enodes) 1554304300.875 * * [misc]simplify: iters left: 4 (63 enodes) 1554304300.893 * * [misc]simplify: iters left: 3 (69 enodes) 1554304300.912 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.912 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.912 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304300.913 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304300.913 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304300.913 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554304300.914 * * [misc]simplify: Extracting #6: cost 13 inf + 2536 1554304300.915 * * [misc]simplify: Extracting #7: cost 1 inf + 7512 1554304300.917 * * [misc]simplify: Extracting #8: cost 0 inf + 8297 1554304300.919 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (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)))))))) 1554304300.919 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.920 * * [misc]simplify: iters left: 6 (16 enodes) 1554304300.928 * * [misc]simplify: iters left: 5 (53 enodes) 1554304300.944 * * [misc]simplify: iters left: 4 (63 enodes) 1554304300.964 * * [misc]simplify: iters left: 3 (69 enodes) 1554304300.974 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304300.974 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304300.974 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304300.974 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554304300.974 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554304300.974 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554304300.974 * * [misc]simplify: Extracting #6: cost 13 inf + 2536 1554304300.975 * * [misc]simplify: Extracting #7: cost 1 inf + 7512 1554304300.976 * * [misc]simplify: Extracting #8: cost 0 inf + 8297 1554304300.977 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304300.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (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)))))))) 1554304300.977 * * * * [misc]progress: [ 189 / 261 ] simplifiying candidate # 1554304300.977 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1554304300.977 * * [misc]simplify: iters left: 6 (14 enodes) 1554304300.981 * * [misc]simplify: iters left: 5 (47 enodes) 1554304300.991 * * [misc]simplify: iters left: 4 (56 enodes) 1554304301.009 * * [misc]simplify: iters left: 3 (61 enodes) 1554304301.026 * * [misc]simplify: iters left: 2 (62 enodes) 1554304301.043 * * [misc]simplify: iters left: 1 (64 enodes) 1554304301.059 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.059 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304301.059 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554304301.060 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554304301.060 * * [misc]simplify: Extracting #4: cost 20 inf + 43 1554304301.060 * * [misc]simplify: Extracting #5: cost 16 inf + 291 1554304301.060 * * [misc]simplify: Extracting #6: cost 6 inf + 2402 1554304301.062 * * [misc]simplify: Extracting #7: cost 0 inf + 4221 1554304301.063 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304301.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304301.063 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304301.063 * * [misc]simplify: iters left: 6 (15 enodes) 1554304301.070 * * [misc]simplify: iters left: 5 (50 enodes) 1554304301.079 * * [misc]simplify: iters left: 4 (60 enodes) 1554304301.089 * * [misc]simplify: iters left: 3 (66 enodes) 1554304301.098 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.098 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.098 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304301.098 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304301.098 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554304301.098 * * [misc]simplify: Extracting #5: cost 22 inf + 332 1554304301.099 * * [misc]simplify: Extracting #6: cost 8 inf + 3165 1554304301.099 * * [misc]simplify: Extracting #7: cost 0 inf + 7389 1554304301.100 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304301.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304301.100 * * * * [misc]progress: [ 190 / 261 ] simplifiying candidate # 1554304301.101 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554304301.101 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.104 * * [misc]simplify: iters left: 5 (50 enodes) 1554304301.119 * * [misc]simplify: iters left: 4 (58 enodes) 1554304301.136 * * [misc]simplify: iters left: 3 (67 enodes) 1554304301.148 * * [misc]simplify: iters left: 2 (68 enodes) 1554304301.157 * * [misc]simplify: iters left: 1 (70 enodes) 1554304301.167 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.167 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304301.167 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304301.167 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554304301.167 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554304301.167 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554304301.167 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554304301.168 * * [misc]simplify: Extracting #7: cost 4 inf + 2329 1554304301.168 * * [misc]simplify: Extracting #8: cost 1 inf + 3573 1554304301.169 * * [misc]simplify: Extracting #9: cost 0 inf + 3988 1554304301.170 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304301.170 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304301.170 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304301.171 * * [misc]simplify: iters left: 6 (15 enodes) 1554304301.178 * * [misc]simplify: iters left: 5 (51 enodes) 1554304301.195 * * [misc]simplify: iters left: 4 (59 enodes) 1554304301.211 * * [misc]simplify: iters left: 3 (63 enodes) 1554304301.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.228 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.228 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304301.228 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554304301.228 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554304301.229 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554304301.229 * * [misc]simplify: Extracting #6: cost 8 inf + 2707 1554304301.230 * * [misc]simplify: Extracting #7: cost 1 inf + 6478 1554304301.232 * * [misc]simplify: Extracting #8: cost 0 inf + 7143 1554304301.233 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304301.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304301.234 * * * * [misc]progress: [ 191 / 261 ] simplifiying candidate # 1554304301.234 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554304301.234 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.241 * * [misc]simplify: iters left: 5 (50 enodes) 1554304301.256 * * [misc]simplify: iters left: 4 (58 enodes) 1554304301.265 * * [misc]simplify: iters left: 3 (67 enodes) 1554304301.274 * * [misc]simplify: iters left: 2 (68 enodes) 1554304301.283 * * [misc]simplify: iters left: 1 (70 enodes) 1554304301.292 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.292 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304301.292 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304301.292 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554304301.292 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554304301.292 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554304301.293 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554304301.293 * * [misc]simplify: Extracting #7: cost 4 inf + 2329 1554304301.293 * * [misc]simplify: Extracting #8: cost 1 inf + 3573 1554304301.294 * * [misc]simplify: Extracting #9: cost 0 inf + 3988 1554304301.295 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304301.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304301.295 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304301.295 * * [misc]simplify: iters left: 6 (15 enodes) 1554304301.300 * * [misc]simplify: iters left: 5 (51 enodes) 1554304301.308 * * [misc]simplify: iters left: 4 (59 enodes) 1554304301.316 * * [misc]simplify: iters left: 3 (63 enodes) 1554304301.324 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.324 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.324 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304301.324 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554304301.324 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554304301.325 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554304301.325 * * [misc]simplify: Extracting #6: cost 8 inf + 2707 1554304301.325 * * [misc]simplify: Extracting #7: cost 1 inf + 6478 1554304301.326 * * [misc]simplify: Extracting #8: cost 0 inf + 7143 1554304301.327 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304301.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304301.327 * * * * [misc]progress: [ 192 / 261 ] simplifiying candidate # 1554304301.327 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304301.327 * * [misc]simplify: iters left: 6 (16 enodes) 1554304301.334 * * [misc]simplify: iters left: 5 (57 enodes) 1554304301.352 * * [misc]simplify: iters left: 4 (71 enodes) 1554304301.374 * * [misc]simplify: iters left: 3 (88 enodes) 1554304301.392 * * [misc]simplify: iters left: 2 (97 enodes) 1554304301.407 * * [misc]simplify: iters left: 1 (120 enodes) 1554304301.432 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.432 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304301.432 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554304301.432 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304301.433 * * [misc]simplify: Extracting #4: cost 31 inf + 2 1554304301.433 * * [misc]simplify: Extracting #5: cost 32 inf + 5 1554304301.433 * * [misc]simplify: Extracting #6: cost 29 inf + 132 1554304301.433 * * [misc]simplify: Extracting #7: cost 18 inf + 2336 1554304301.434 * * [misc]simplify: Extracting #8: cost 3 inf + 9223 1554304301.436 * * [misc]simplify: Extracting #9: cost 0 inf + 11128 1554304301.437 * [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)))))) 1554304301.438 * [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)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304301.438 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304301.438 * * [misc]simplify: iters left: 6 (15 enodes) 1554304301.441 * * [misc]simplify: iters left: 5 (50 enodes) 1554304301.449 * * [misc]simplify: iters left: 4 (60 enodes) 1554304301.457 * * [misc]simplify: iters left: 3 (66 enodes) 1554304301.470 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.471 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.471 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304301.471 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304301.471 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554304301.471 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554304301.472 * * [misc]simplify: Extracting #6: cost 9 inf + 3750 1554304301.473 * * [misc]simplify: Extracting #7: cost 0 inf + 8215 1554304301.475 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304301.475 * [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)))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304301.475 * * * * [misc]progress: [ 193 / 261 ] simplifiying candidate # 1554304301.475 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304301.476 * * [misc]simplify: iters left: 6 (15 enodes) 1554304301.483 * * [misc]simplify: iters left: 5 (52 enodes) 1554304301.497 * * [misc]simplify: iters left: 4 (60 enodes) 1554304301.508 * * [misc]simplify: iters left: 3 (69 enodes) 1554304301.517 * * [misc]simplify: iters left: 2 (70 enodes) 1554304301.531 * * [misc]simplify: iters left: 1 (72 enodes) 1554304301.541 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.541 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304301.542 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304301.542 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304301.542 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554304301.542 * * [misc]simplify: Extracting #5: cost 24 inf + 5 1554304301.542 * * [misc]simplify: Extracting #6: cost 20 inf + 174 1554304301.542 * * [misc]simplify: Extracting #7: cost 7 inf + 3259 1554304301.543 * * [misc]simplify: Extracting #8: cost 0 inf + 6168 1554304301.544 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304301.544 * [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 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304301.544 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304301.544 * * [misc]simplify: iters left: 6 (15 enodes) 1554304301.548 * * [misc]simplify: iters left: 5 (50 enodes) 1554304301.555 * * [misc]simplify: iters left: 4 (60 enodes) 1554304301.564 * * [misc]simplify: iters left: 3 (66 enodes) 1554304301.581 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.581 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.581 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304301.581 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304301.581 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554304301.581 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554304301.581 * * [misc]simplify: Extracting #6: cost 9 inf + 3630 1554304301.582 * * [misc]simplify: Extracting #7: cost 0 inf + 7895 1554304301.583 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304301.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304301.583 * * * * [misc]progress: [ 194 / 261 ] simplifiying candidate # 1554304301.583 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 1)) 1554304301.583 * * [misc]simplify: iters left: 6 (12 enodes) 1554304301.587 * * [misc]simplify: iters left: 5 (39 enodes) 1554304301.595 * * [misc]simplify: iters left: 4 (46 enodes) 1554304301.602 * * [misc]simplify: iters left: 3 (50 enodes) 1554304301.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.608 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304301.608 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304301.608 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304301.608 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304301.608 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1554304301.609 * * [misc]simplify: Extracting #6: cost 2 inf + 1545 1554304301.609 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554304301.609 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304301.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304301.609 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304301.610 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.613 * * [misc]simplify: iters left: 5 (47 enodes) 1554304301.626 * * [misc]simplify: iters left: 4 (57 enodes) 1554304301.635 * * [misc]simplify: iters left: 3 (63 enodes) 1554304301.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.643 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.644 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304301.644 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554304301.644 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554304301.644 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554304301.644 * * [misc]simplify: Extracting #6: cost 8 inf + 3414 1554304301.645 * * [misc]simplify: Extracting #7: cost 0 inf + 6987 1554304301.646 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304301.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304301.646 * * * * [misc]progress: [ 195 / 261 ] simplifiying candidate # 1554304301.646 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554304301.646 * * [misc]simplify: iters left: 6 (11 enodes) 1554304301.650 * * [misc]simplify: iters left: 5 (36 enodes) 1554304301.658 * * [misc]simplify: iters left: 4 (43 enodes) 1554304301.670 * * [misc]simplify: iters left: 3 (45 enodes) 1554304301.683 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.683 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304301.683 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304301.684 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304301.684 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304301.684 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554304301.684 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554304301.685 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554304301.685 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304301.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304301.685 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304301.685 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.689 * * [misc]simplify: iters left: 5 (47 enodes) 1554304301.698 * * [misc]simplify: iters left: 4 (57 enodes) 1554304301.706 * * [misc]simplify: iters left: 3 (63 enodes) 1554304301.714 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.714 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.714 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304301.714 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554304301.714 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554304301.715 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554304301.715 * * [misc]simplify: Extracting #6: cost 8 inf + 3414 1554304301.716 * * [misc]simplify: Extracting #7: cost 0 inf + 6987 1554304301.716 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304301.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304301.716 * * * * [misc]progress: [ 196 / 261 ] simplifiying candidate # 1554304301.717 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554304301.717 * * [misc]simplify: iters left: 6 (11 enodes) 1554304301.722 * * [misc]simplify: iters left: 5 (36 enodes) 1554304301.731 * * [misc]simplify: iters left: 4 (41 enodes) 1554304301.737 * * [misc]simplify: iters left: 3 (43 enodes) 1554304301.743 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.743 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304301.743 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304301.743 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1554304301.743 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1554304301.743 * * [misc]simplify: Extracting #5: cost 13 inf + 210 1554304301.744 * * [misc]simplify: Extracting #6: cost 6 inf + 959 1554304301.744 * * [misc]simplify: Extracting #7: cost 0 inf + 2990 1554304301.744 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554304301.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304301.745 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304301.745 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.748 * * [misc]simplify: iters left: 5 (49 enodes) 1554304301.756 * * [misc]simplify: iters left: 4 (57 enodes) 1554304301.768 * * [misc]simplify: iters left: 3 (66 enodes) 1554304301.779 * * [misc]simplify: iters left: 2 (67 enodes) 1554304301.791 * * [misc]simplify: iters left: 1 (69 enodes) 1554304301.800 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.800 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304301.800 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304301.800 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304301.800 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554304301.800 * * [misc]simplify: Extracting #5: cost 21 inf + 48 1554304301.800 * * [misc]simplify: Extracting #6: cost 5 inf + 3176 1554304301.801 * * [misc]simplify: Extracting #7: cost 1 inf + 4925 1554304301.802 * * [misc]simplify: Extracting #8: cost 0 inf + 5340 1554304301.802 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304301.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304301.802 * * * * [misc]progress: [ 197 / 261 ] simplifiying candidate # 1554304301.803 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI 1/2))) 1554304301.803 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.807 * * [misc]simplify: iters left: 5 (48 enodes) 1554304301.821 * * [misc]simplify: iters left: 4 (58 enodes) 1554304301.836 * * [misc]simplify: iters left: 3 (64 enodes) 1554304301.845 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.845 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304301.845 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304301.845 * * [misc]simplify: Extracting #3: cost 17 inf + 44 1554304301.846 * * [misc]simplify: Extracting #4: cost 19 inf + 370 1554304301.846 * * [misc]simplify: Extracting #5: cost 18 inf + 455 1554304301.846 * * [misc]simplify: Extracting #6: cost 5 inf + 3479 1554304301.847 * * [misc]simplify: Extracting #7: cost 1 inf + 4843 1554304301.847 * * [misc]simplify: Extracting #8: cost 0 inf + 5297 1554304301.848 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) 1554304301.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1554304301.849 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554304301.849 * * [misc]simplify: iters left: 6 (12 enodes) 1554304301.852 * * [misc]simplify: iters left: 5 (39 enodes) 1554304301.857 * * [misc]simplify: iters left: 4 (44 enodes) 1554304301.863 * * [misc]simplify: iters left: 3 (46 enodes) 1554304301.875 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.875 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304301.875 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304301.875 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304301.875 * * [misc]simplify: Extracting #4: cost 15 inf + 87 1554304301.875 * * [misc]simplify: Extracting #5: cost 10 inf + 761 1554304301.876 * * [misc]simplify: Extracting #6: cost 5 inf + 1718 1554304301.876 * * [misc]simplify: Extracting #7: cost 1 inf + 3132 1554304301.877 * * [misc]simplify: Extracting #8: cost 0 inf + 3757 1554304301.878 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554304301.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1554304301.878 * * * * [misc]progress: [ 198 / 261 ] simplifiying candidate # 1554304301.879 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304301.879 * * [misc]simplify: iters left: 6 (13 enodes) 1554304301.883 * * [misc]simplify: iters left: 5 (45 enodes) 1554304301.892 * * [misc]simplify: iters left: 4 (54 enodes) 1554304301.900 * * [misc]simplify: iters left: 3 (56 enodes) 1554304301.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.909 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304301.909 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304301.909 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554304301.909 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304301.909 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554304301.909 * * [misc]simplify: Extracting #6: cost 20 inf + 86 1554304301.909 * * [misc]simplify: Extracting #7: cost 19 inf + 128 1554304301.909 * * [misc]simplify: Extracting #8: cost 11 inf + 1380 1554304301.910 * * [misc]simplify: Extracting #9: cost 1 inf + 5381 1554304301.910 * * [misc]simplify: Extracting #10: cost 0 inf + 5875 1554304301.911 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304301.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304301.911 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304301.911 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.916 * * [misc]simplify: iters left: 5 (45 enodes) 1554304301.929 * * [misc]simplify: iters left: 4 (50 enodes) 1554304301.942 * * [misc]simplify: iters left: 3 (52 enodes) 1554304301.949 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.949 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304301.949 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304301.949 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304301.949 * * [misc]simplify: Extracting #4: cost 23 inf + 3 1554304301.949 * * [misc]simplify: Extracting #5: cost 17 inf + 214 1554304301.949 * * [misc]simplify: Extracting #6: cost 2 inf + 3870 1554304301.950 * * [misc]simplify: Extracting #7: cost 0 inf + 5069 1554304301.950 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304301.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304301.950 * * * * [misc]progress: [ 199 / 261 ] simplifiying candidate # 1554304301.951 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304301.951 * * [misc]simplify: iters left: 6 (12 enodes) 1554304301.954 * * [misc]simplify: iters left: 5 (40 enodes) 1554304301.960 * * [misc]simplify: iters left: 4 (47 enodes) 1554304301.967 * * [misc]simplify: iters left: 3 (49 enodes) 1554304301.980 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304301.980 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304301.980 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304301.980 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554304301.980 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1554304301.980 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554304301.980 * * [misc]simplify: Extracting #6: cost 16 inf + 86 1554304301.980 * * [misc]simplify: Extracting #7: cost 15 inf + 128 1554304301.981 * * [misc]simplify: Extracting #8: cost 9 inf + 501 1554304301.981 * * [misc]simplify: Extracting #9: cost 4 inf + 1919 1554304301.982 * * [misc]simplify: Extracting #10: cost 2 inf + 2788 1554304301.983 * * [misc]simplify: Extracting #11: cost 0 inf + 3657 1554304301.984 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304301.984 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304301.984 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304301.984 * * [misc]simplify: iters left: 6 (14 enodes) 1554304301.988 * * [misc]simplify: iters left: 5 (45 enodes) 1554304301.996 * * [misc]simplify: iters left: 4 (50 enodes) 1554304302.003 * * [misc]simplify: iters left: 3 (52 enodes) 1554304302.010 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.011 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304302.011 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304302.011 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304302.011 * * [misc]simplify: Extracting #4: cost 23 inf + 3 1554304302.011 * * [misc]simplify: Extracting #5: cost 17 inf + 214 1554304302.011 * * [misc]simplify: Extracting #6: cost 2 inf + 3790 1554304302.012 * * [misc]simplify: Extracting #7: cost 0 inf + 4909 1554304302.012 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304302.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))) 1554304302.012 * * * * [misc]progress: [ 200 / 261 ] simplifiying candidate # 1554304302.012 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304302.013 * * [misc]simplify: iters left: 6 (10 enodes) 1554304302.015 * * [misc]simplify: iters left: 5 (37 enodes) 1554304302.025 * * [misc]simplify: iters left: 4 (51 enodes) 1554304302.034 * * [misc]simplify: iters left: 3 (66 enodes) 1554304302.045 * * [misc]simplify: iters left: 2 (91 enodes) 1554304302.064 * * [misc]simplify: iters left: 1 (95 enodes) 1554304302.091 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.091 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304302.092 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304302.092 * * [misc]simplify: Extracting #3: cost 20 inf + 44 1554304302.092 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1554304302.093 * * [misc]simplify: Extracting #5: cost 8 inf + 1621 1554304302.093 * * [misc]simplify: Extracting #6: cost 0 inf + 3236 1554304302.094 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304302.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304302.094 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.094 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.098 * * [misc]simplify: iters left: 5 (51 enodes) 1554304302.105 * * [misc]simplify: iters left: 4 (59 enodes) 1554304302.114 * * [misc]simplify: iters left: 3 (63 enodes) 1554304302.122 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.122 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.122 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304302.122 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304302.122 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554304302.123 * * [misc]simplify: Extracting #5: cost 9 inf + 2854 1554304302.123 * * [misc]simplify: Extracting #6: cost 1 inf + 6252 1554304302.124 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554304302.125 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.125 * [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)) (pow PI (- (/ k 2))))))) 1554304302.125 * * * * [misc]progress: [ 201 / 261 ] simplifiying candidate # 1554304302.125 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554304302.125 * * [misc]simplify: iters left: 6 (10 enodes) 1554304302.130 * * [misc]simplify: iters left: 5 (37 enodes) 1554304302.142 * * [misc]simplify: iters left: 4 (51 enodes) 1554304302.158 * * [misc]simplify: iters left: 3 (66 enodes) 1554304302.170 * * [misc]simplify: iters left: 2 (91 enodes) 1554304302.185 * * [misc]simplify: iters left: 1 (95 enodes) 1554304302.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.206 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304302.207 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304302.207 * * [misc]simplify: Extracting #3: cost 20 inf + 44 1554304302.207 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1554304302.208 * * [misc]simplify: Extracting #5: cost 8 inf + 1621 1554304302.209 * * [misc]simplify: Extracting #6: cost 0 inf + 3236 1554304302.210 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304302.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304302.211 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.211 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.218 * * [misc]simplify: iters left: 5 (51 enodes) 1554304302.229 * * [misc]simplify: iters left: 4 (59 enodes) 1554304302.237 * * [misc]simplify: iters left: 3 (63 enodes) 1554304302.245 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.246 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.246 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304302.246 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304302.246 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554304302.246 * * [misc]simplify: Extracting #5: cost 9 inf + 2854 1554304302.247 * * [misc]simplify: Extracting #6: cost 1 inf + 6252 1554304302.247 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554304302.248 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.248 * [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)) (pow PI (- (/ k 2))))))) 1554304302.248 * * * * [misc]progress: [ 202 / 261 ] simplifiying candidate # 1554304302.248 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304302.248 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.252 * * [misc]simplify: iters left: 5 (57 enodes) 1554304302.268 * * [misc]simplify: iters left: 4 (93 enodes) 1554304302.286 * * [misc]simplify: iters left: 3 (130 enodes) 1554304302.319 * * [misc]simplify: iters left: 2 (190 enodes) 1554304302.357 * * [misc]simplify: iters left: 1 (216 enodes) 1554304302.392 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.393 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304302.393 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554304302.393 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554304302.393 * * [misc]simplify: Extracting #4: cost 37 inf + 3 1554304302.394 * * [misc]simplify: Extracting #5: cost 35 inf + 609 1554304302.394 * * [misc]simplify: Extracting #6: cost 27 inf + 1425 1554304302.396 * * [misc]simplify: Extracting #7: cost 11 inf + 6989 1554304302.401 * * [misc]simplify: Extracting #8: cost 0 inf + 13063 1554304302.406 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1554304302.406 * [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)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304302.406 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304302.406 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.414 * * [misc]simplify: iters left: 5 (50 enodes) 1554304302.429 * * [misc]simplify: iters left: 4 (60 enodes) 1554304302.445 * * [misc]simplify: iters left: 3 (66 enodes) 1554304302.463 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.463 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.463 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304302.463 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304302.463 * * [misc]simplify: Extracting #4: cost 23 inf + 250 1554304302.464 * * [misc]simplify: Extracting #5: cost 7 inf + 4312 1554304302.465 * * [misc]simplify: Extracting #6: cost 0 inf + 7949 1554304302.467 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304302.467 * [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)))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304302.467 * * * * [misc]progress: [ 203 / 261 ] simplifiying candidate # 1554304302.468 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304302.468 * * [misc]simplify: iters left: 6 (14 enodes) 1554304302.474 * * [misc]simplify: iters left: 5 (50 enodes) 1554304302.484 * * [misc]simplify: iters left: 4 (69 enodes) 1554304302.496 * * [misc]simplify: iters left: 3 (86 enodes) 1554304302.512 * * [misc]simplify: iters left: 2 (111 enodes) 1554304302.530 * * [misc]simplify: iters left: 1 (115 enodes) 1554304302.561 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.561 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304302.561 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554304302.561 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304302.561 * * [misc]simplify: Extracting #4: cost 27 inf + 3 1554304302.562 * * [misc]simplify: Extracting #5: cost 23 inf + 893 1554304302.562 * * [misc]simplify: Extracting #6: cost 16 inf + 1587 1554304302.564 * * [misc]simplify: Extracting #7: cost 5 inf + 4893 1554304302.566 * * [misc]simplify: Extracting #8: cost 0 inf + 7243 1554304302.569 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554304302.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304302.569 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304302.569 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.575 * * [misc]simplify: iters left: 5 (50 enodes) 1554304302.585 * * [misc]simplify: iters left: 4 (60 enodes) 1554304302.593 * * [misc]simplify: iters left: 3 (66 enodes) 1554304302.603 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.603 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.603 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304302.603 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304302.603 * * [misc]simplify: Extracting #4: cost 23 inf + 250 1554304302.604 * * [misc]simplify: Extracting #5: cost 7 inf + 4192 1554304302.605 * * [misc]simplify: Extracting #6: cost 0 inf + 7629 1554304302.607 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304302.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1554304302.607 * * * * [misc]progress: [ 204 / 261 ] simplifiying candidate # 1554304302.607 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554304302.608 * * [misc]simplify: iters left: 6 (7 enodes) 1554304302.611 * * [misc]simplify: iters left: 5 (25 enodes) 1554304302.620 * * [misc]simplify: iters left: 4 (38 enodes) 1554304302.630 * * [misc]simplify: iters left: 3 (41 enodes) 1554304302.635 * * [misc]simplify: iters left: 2 (42 enodes) 1554304302.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.640 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304302.640 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304302.640 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304302.640 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1554304302.640 * * [misc]simplify: Extracting #5: cost 2 inf + 1093 1554304302.640 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554304302.640 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304302.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304302.641 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304302.641 * * [misc]simplify: iters left: 6 (14 enodes) 1554304302.644 * * [misc]simplify: iters left: 5 (47 enodes) 1554304302.651 * * [misc]simplify: iters left: 4 (57 enodes) 1554304302.659 * * [misc]simplify: iters left: 3 (63 enodes) 1554304302.676 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.676 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.676 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304302.676 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304302.676 * * [misc]simplify: Extracting #4: cost 21 inf + 250 1554304302.677 * * [misc]simplify: Extracting #5: cost 9 inf + 3067 1554304302.678 * * [misc]simplify: Extracting #6: cost 0 inf + 6721 1554304302.679 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304302.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304302.680 * * * * [misc]progress: [ 205 / 261 ] simplifiying candidate # 1554304302.680 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304302.680 * * [misc]simplify: iters left: 6 (9 enodes) 1554304302.685 * * [misc]simplify: iters left: 5 (32 enodes) 1554304302.697 * * [misc]simplify: iters left: 4 (39 enodes) 1554304302.708 * * [misc]simplify: iters left: 3 (41 enodes) 1554304302.721 * * [misc]simplify: iters left: 2 (53 enodes) 1554304302.736 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.737 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304302.737 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304302.737 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554304302.737 * * [misc]simplify: Extracting #4: cost 10 inf + 86 1554304302.737 * * [misc]simplify: Extracting #5: cost 5 inf + 573 1554304302.738 * * [misc]simplify: Extracting #6: cost 1 inf + 1100 1554304302.738 * * [misc]simplify: Extracting #7: cost 0 inf + 1222 1554304302.739 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1554304302.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304302.739 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.739 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.747 * * [misc]simplify: iters left: 5 (51 enodes) 1554304302.761 * * [misc]simplify: iters left: 4 (59 enodes) 1554304302.778 * * [misc]simplify: iters left: 3 (63 enodes) 1554304302.795 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.795 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.795 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304302.795 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304302.796 * * [misc]simplify: Extracting #4: cost 23 inf + 169 1554304302.796 * * [misc]simplify: Extracting #5: cost 9 inf + 2654 1554304302.797 * * [misc]simplify: Extracting #6: cost 1 inf + 5932 1554304302.799 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554304302.800 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.800 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304302.801 * * * * [misc]progress: [ 206 / 261 ] simplifiying candidate # 1554304302.801 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554304302.801 * * [misc]simplify: iters left: 6 (9 enodes) 1554304302.804 * * [misc]simplify: iters left: 5 (32 enodes) 1554304302.809 * * [misc]simplify: iters left: 4 (39 enodes) 1554304302.815 * * [misc]simplify: iters left: 3 (41 enodes) 1554304302.822 * * [misc]simplify: iters left: 2 (53 enodes) 1554304302.831 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.831 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304302.831 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304302.832 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554304302.832 * * [misc]simplify: Extracting #4: cost 10 inf + 86 1554304302.832 * * [misc]simplify: Extracting #5: cost 5 inf + 573 1554304302.832 * * [misc]simplify: Extracting #6: cost 1 inf + 1100 1554304302.832 * * [misc]simplify: Extracting #7: cost 0 inf + 1222 1554304302.833 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1554304302.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304302.833 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.833 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.837 * * [misc]simplify: iters left: 5 (51 enodes) 1554304302.844 * * [misc]simplify: iters left: 4 (59 enodes) 1554304302.853 * * [misc]simplify: iters left: 3 (63 enodes) 1554304302.861 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.861 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304302.862 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304302.862 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554304302.862 * * [misc]simplify: Extracting #4: cost 23 inf + 169 1554304302.862 * * [misc]simplify: Extracting #5: cost 9 inf + 2654 1554304302.864 * * [misc]simplify: Extracting #6: cost 1 inf + 5932 1554304302.865 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554304302.866 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554304302.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554304302.867 * * * * [misc]progress: [ 207 / 261 ] simplifiying candidate # 1554304302.867 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304302.867 * * [misc]simplify: iters left: 6 (14 enodes) 1554304302.874 * * [misc]simplify: iters left: 5 (50 enodes) 1554304302.882 * * [misc]simplify: iters left: 4 (68 enodes) 1554304302.893 * * [misc]simplify: iters left: 3 (80 enodes) 1554304302.905 * * [misc]simplify: iters left: 2 (95 enodes) 1554304302.935 * * [misc]simplify: iters left: 1 (104 enodes) 1554304302.962 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304302.962 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554304302.963 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1554304302.963 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554304302.963 * * [misc]simplify: Extracting #4: cost 25 inf + 3 1554304302.963 * * [misc]simplify: Extracting #5: cost 25 inf + 167 1554304302.963 * * [misc]simplify: Extracting #6: cost 16 inf + 1118 1554304302.965 * * [misc]simplify: Extracting #7: cost 2 inf + 6317 1554304302.967 * * [misc]simplify: Extracting #8: cost 0 inf + 7265 1554304302.969 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304302.969 * [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)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304302.969 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304302.970 * * [misc]simplify: iters left: 6 (15 enodes) 1554304302.977 * * [misc]simplify: iters left: 5 (50 enodes) 1554304302.992 * * [misc]simplify: iters left: 4 (60 enodes) 1554304303.009 * * [misc]simplify: iters left: 3 (66 enodes) 1554304303.022 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.022 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.022 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.022 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304303.022 * * [misc]simplify: Extracting #4: cost 23 inf + 210 1554304303.023 * * [misc]simplify: Extracting #5: cost 7 inf + 4112 1554304303.023 * * [misc]simplify: Extracting #6: cost 0 inf + 7629 1554304303.024 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304303.024 * [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)))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304303.024 * * * * [misc]progress: [ 208 / 261 ] simplifiying candidate # 1554304303.024 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.025 * * [misc]simplify: iters left: 6 (13 enodes) 1554304303.028 * * [misc]simplify: iters left: 5 (45 enodes) 1554304303.035 * * [misc]simplify: iters left: 4 (57 enodes) 1554304303.046 * * [misc]simplify: iters left: 3 (61 enodes) 1554304303.056 * * [misc]simplify: iters left: 2 (73 enodes) 1554304303.077 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.077 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304303.077 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304303.077 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304303.077 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1554304303.077 * * [misc]simplify: Extracting #5: cost 18 inf + 289 1554304303.078 * * [misc]simplify: Extracting #6: cost 9 inf + 1200 1554304303.079 * * [misc]simplify: Extracting #7: cost 1 inf + 3607 1554304303.080 * * [misc]simplify: Extracting #8: cost 0 inf + 4061 1554304303.081 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304303.081 * [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 (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304303.082 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.082 * * [misc]simplify: iters left: 6 (15 enodes) 1554304303.089 * * [misc]simplify: iters left: 5 (50 enodes) 1554304303.104 * * [misc]simplify: iters left: 4 (60 enodes) 1554304303.121 * * [misc]simplify: iters left: 3 (66 enodes) 1554304303.138 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.138 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.138 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.138 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304303.139 * * [misc]simplify: Extracting #4: cost 23 inf + 210 1554304303.139 * * [misc]simplify: Extracting #5: cost 7 inf + 3992 1554304303.141 * * [misc]simplify: Extracting #6: cost 0 inf + 7309 1554304303.142 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304303.142 * [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 (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1554304303.143 * * * * [misc]progress: [ 209 / 261 ] simplifiying candidate # 1554304303.143 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1554304303.143 * * [misc]simplify: iters left: 6 (6 enodes) 1554304303.146 * * [misc]simplify: iters left: 5 (20 enodes) 1554304303.149 * * [misc]simplify: iters left: 4 (24 enodes) 1554304303.152 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.152 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.152 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304303.152 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304303.152 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1554304303.153 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554304303.153 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554304303.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304303.153 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304303.153 * * [misc]simplify: iters left: 6 (14 enodes) 1554304303.156 * * [misc]simplify: iters left: 5 (47 enodes) 1554304303.163 * * [misc]simplify: iters left: 4 (57 enodes) 1554304303.173 * * [misc]simplify: iters left: 3 (63 enodes) 1554304303.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.186 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.186 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.186 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304303.186 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1554304303.187 * * [misc]simplify: Extracting #5: cost 9 inf + 2867 1554304303.188 * * [misc]simplify: Extracting #6: cost 0 inf + 6401 1554304303.190 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304303.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304303.190 * * * * [misc]progress: [ 210 / 261 ] simplifiying candidate # 1554304303.190 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI 1/2))) 1554304303.190 * * [misc]simplify: iters left: 5 (6 enodes) 1554304303.194 * * [misc]simplify: iters left: 4 (21 enodes) 1554304303.201 * * [misc]simplify: iters left: 3 (24 enodes) 1554304303.209 * * [misc]simplify: iters left: 2 (28 enodes) 1554304303.216 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.216 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304303.216 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1554304303.216 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554304303.217 * [exit]simplify: Simplified to (sqrt PI) 1554304303.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304303.217 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304303.217 * * [misc]simplify: iters left: 6 (14 enodes) 1554304303.224 * * [misc]simplify: iters left: 5 (48 enodes) 1554304303.238 * * [misc]simplify: iters left: 4 (56 enodes) 1554304303.254 * * [misc]simplify: iters left: 3 (60 enodes) 1554304303.270 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.270 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.270 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304303.271 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554304303.271 * * [misc]simplify: Extracting #4: cost 20 inf + 170 1554304303.271 * * [misc]simplify: Extracting #5: cost 6 inf + 3199 1554304303.273 * * [misc]simplify: Extracting #6: cost 0 inf + 6315 1554304303.274 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304303.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1554304303.274 * * * * [misc]progress: [ 211 / 261 ] simplifiying candidate # 1554304303.275 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI 1/2))) 1554304303.275 * * [misc]simplify: iters left: 5 (6 enodes) 1554304303.279 * * [misc]simplify: iters left: 4 (21 enodes) 1554304303.285 * * [misc]simplify: iters left: 3 (24 enodes) 1554304303.291 * * [misc]simplify: iters left: 2 (28 enodes) 1554304303.295 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.295 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304303.295 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1554304303.295 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554304303.295 * [exit]simplify: Simplified to (sqrt PI) 1554304303.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554304303.295 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554304303.296 * * [misc]simplify: iters left: 6 (14 enodes) 1554304303.301 * * [misc]simplify: iters left: 5 (48 enodes) 1554304303.308 * * [misc]simplify: iters left: 4 (56 enodes) 1554304303.316 * * [misc]simplify: iters left: 3 (60 enodes) 1554304303.324 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.324 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.324 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304303.324 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554304303.324 * * [misc]simplify: Extracting #4: cost 20 inf + 170 1554304303.325 * * [misc]simplify: Extracting #5: cost 6 inf + 3199 1554304303.325 * * [misc]simplify: Extracting #6: cost 0 inf + 6315 1554304303.326 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304303.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1554304303.326 * * * * [misc]progress: [ 212 / 261 ] simplifiying candidate # 1554304303.326 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304303.326 * * [misc]simplify: iters left: 6 (12 enodes) 1554304303.330 * * [misc]simplify: iters left: 5 (42 enodes) 1554304303.337 * * [misc]simplify: iters left: 4 (54 enodes) 1554304303.345 * * [misc]simplify: iters left: 3 (68 enodes) 1554304303.356 * * [misc]simplify: iters left: 2 (82 enodes) 1554304303.368 * * [misc]simplify: iters left: 1 (84 enodes) 1554304303.379 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.379 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304303.379 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304303.379 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554304303.379 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304303.379 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554304303.380 * * [misc]simplify: Extracting #6: cost 16 inf + 89 1554304303.380 * * [misc]simplify: Extracting #7: cost 10 inf + 966 1554304303.380 * * [misc]simplify: Extracting #8: cost 4 inf + 2707 1554304303.381 * * [misc]simplify: Extracting #9: cost 1 inf + 3950 1554304303.381 * * [misc]simplify: Extracting #10: cost 0 inf + 4405 1554304303.382 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304303.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304303.382 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.382 * * [misc]simplify: iters left: 6 (14 enodes) 1554304303.386 * * [misc]simplify: iters left: 5 (47 enodes) 1554304303.393 * * [misc]simplify: iters left: 4 (57 enodes) 1554304303.401 * * [misc]simplify: iters left: 3 (63 enodes) 1554304303.409 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.409 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.409 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.409 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304303.409 * * [misc]simplify: Extracting #4: cost 22 inf + 129 1554304303.410 * * [misc]simplify: Extracting #5: cost 9 inf + 3493 1554304303.411 * * [misc]simplify: Extracting #6: cost 0 inf + 7227 1554304303.411 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))))) 1554304303.412 * * * * [misc]progress: [ 213 / 261 ] simplifiying candidate # 1554304303.412 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.412 * * [misc]simplify: iters left: 6 (11 enodes) 1554304303.415 * * [misc]simplify: iters left: 5 (37 enodes) 1554304303.421 * * [misc]simplify: iters left: 4 (45 enodes) 1554304303.431 * * [misc]simplify: iters left: 3 (51 enodes) 1554304303.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.445 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304303.445 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554304303.445 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304303.445 * * [misc]simplify: Extracting #4: cost 15 inf + 3 1554304303.445 * * [misc]simplify: Extracting #5: cost 11 inf + 170 1554304303.446 * * [misc]simplify: Extracting #6: cost 5 inf + 795 1554304303.446 * * [misc]simplify: Extracting #7: cost 1 inf + 2132 1554304303.447 * * [misc]simplify: Extracting #8: cost 0 inf + 2507 1554304303.448 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1554304303.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304303.448 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.448 * * [misc]simplify: iters left: 6 (14 enodes) 1554304303.455 * * [misc]simplify: iters left: 5 (47 enodes) 1554304303.469 * * [misc]simplify: iters left: 4 (57 enodes) 1554304303.488 * * [misc]simplify: iters left: 3 (63 enodes) 1554304303.497 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.497 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.497 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.497 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304303.497 * * [misc]simplify: Extracting #4: cost 22 inf + 129 1554304303.497 * * [misc]simplify: Extracting #5: cost 9 inf + 3333 1554304303.498 * * [misc]simplify: Extracting #6: cost 0 inf + 6907 1554304303.499 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554304303.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))))) 1554304303.499 * * * * [misc]progress: [ 214 / 261 ] simplifiying candidate # 1554304303.499 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1554304303.499 * * [misc]simplify: iters left: 4 (3 enodes) 1554304303.500 * * [misc]simplify: iters left: 3 (7 enodes) 1554304303.501 * * [misc]simplify: iters left: 2 (9 enodes) 1554304303.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.503 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304303.503 * [exit]simplify: Simplified to 1 1554304303.503 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304303.503 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.503 * * [misc]simplify: iters left: 6 (13 enodes) 1554304303.506 * * [misc]simplify: iters left: 5 (44 enodes) 1554304303.513 * * [misc]simplify: iters left: 4 (54 enodes) 1554304303.520 * * [misc]simplify: iters left: 3 (60 enodes) 1554304303.529 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.529 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.529 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.529 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554304303.529 * * [misc]simplify: Extracting #4: cost 20 inf + 129 1554304303.530 * * [misc]simplify: Extracting #5: cost 5 inf + 4212 1554304303.530 * * [misc]simplify: Extracting #6: cost 0 inf + 5999 1554304303.531 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.531 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304303.531 * * * * [misc]progress: [ 215 / 261 ] simplifiying candidate # 1554304303.531 * [enter]simplify: Simplifying (/ 1 1) 1554304303.531 * * [misc]simplify: iters left: 2 (2 enodes) 1554304303.532 * * [misc]simplify: iters left: 1 (6 enodes) 1554304303.533 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.533 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304303.533 * [exit]simplify: Simplified to 1 1554304303.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304303.533 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.534 * * [misc]simplify: iters left: 6 (13 enodes) 1554304303.537 * * [misc]simplify: iters left: 5 (44 enodes) 1554304303.543 * * [misc]simplify: iters left: 4 (54 enodes) 1554304303.552 * * [misc]simplify: iters left: 3 (60 enodes) 1554304303.569 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.569 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304303.569 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304303.570 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554304303.570 * * [misc]simplify: Extracting #4: cost 20 inf + 129 1554304303.571 * * [misc]simplify: Extracting #5: cost 5 inf + 4212 1554304303.572 * * [misc]simplify: Extracting #6: cost 0 inf + 5999 1554304303.573 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304303.574 * * * * [misc]progress: [ 216 / 261 ] simplifiying candidate # 1554304303.574 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1554304303.574 * * [misc]simplify: iters left: 3 (4 enodes) 1554304303.576 * * [misc]simplify: iters left: 2 (14 enodes) 1554304303.581 * * [misc]simplify: iters left: 1 (16 enodes) 1554304303.589 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.589 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.589 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304303.589 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1554304303.589 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1554304303.589 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1554304303.589 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554304303.590 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304303.590 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304303.590 * * [misc]simplify: iters left: 6 (13 enodes) 1554304303.597 * * [misc]simplify: iters left: 5 (46 enodes) 1554304303.611 * * [misc]simplify: iters left: 4 (54 enodes) 1554304303.627 * * [misc]simplify: iters left: 3 (63 enodes) 1554304303.637 * * [misc]simplify: iters left: 2 (64 enodes) 1554304303.645 * * [misc]simplify: iters left: 1 (66 enodes) 1554304303.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.654 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304303.654 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304303.654 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554304303.654 * * [misc]simplify: Extracting #4: cost 20 inf + 5 1554304303.654 * * [misc]simplify: Extracting #5: cost 15 inf + 255 1554304303.655 * * [misc]simplify: Extracting #6: cost 3 inf + 3388 1554304303.655 * * [misc]simplify: Extracting #7: cost 0 inf + 4432 1554304303.656 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1554304303.656 * [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)))))) 1554304303.656 * * * * [misc]progress: [ 217 / 261 ] simplifiying candidate # 1554304303.656 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow PI 1/2))) 1554304303.656 * * [misc]simplify: iters left: 5 (8 enodes) 1554304303.660 * * [misc]simplify: iters left: 4 (29 enodes) 1554304303.670 * * [misc]simplify: iters left: 3 (36 enodes) 1554304303.679 * * [misc]simplify: iters left: 2 (38 enodes) 1554304303.685 * * [misc]simplify: iters left: 1 (50 enodes) 1554304303.692 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.692 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304303.692 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304303.692 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1554304303.693 * * [misc]simplify: Extracting #4: cost 2 inf + 616 1554304303.693 * * [misc]simplify: Extracting #5: cost 0 inf + 820 1554304303.693 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1554304303.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))))) 1554304303.693 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554304303.693 * * [misc]simplify: iters left: 6 (11 enodes) 1554304303.698 * * [misc]simplify: iters left: 5 (36 enodes) 1554304303.703 * * [misc]simplify: iters left: 4 (41 enodes) 1554304303.709 * * [misc]simplify: iters left: 3 (43 enodes) 1554304303.715 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.715 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.715 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304303.715 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304303.715 * * [misc]simplify: Extracting #4: cost 12 inf + 382 1554304303.715 * * [misc]simplify: Extracting #5: cost 4 inf + 1384 1554304303.715 * * [misc]simplify: Extracting #6: cost 0 inf + 2929 1554304303.716 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554304303.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))))) 1554304303.716 * * * * [misc]progress: [ 218 / 261 ] simplifiying candidate # 1554304303.716 * * * * [misc]progress: [ 219 / 261 ] simplifiying candidate # 1554304303.716 * * * * [misc]progress: [ 220 / 261 ] simplifiying candidate # 1554304303.716 * * * * [misc]progress: [ 221 / 261 ] simplifiying candidate # 1554304303.716 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.716 * * [misc]simplify: iters left: 6 (10 enodes) 1554304303.719 * * [misc]simplify: iters left: 5 (32 enodes) 1554304303.724 * * [misc]simplify: iters left: 4 (37 enodes) 1554304303.729 * * [misc]simplify: iters left: 3 (39 enodes) 1554304303.735 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.735 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304303.735 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304303.735 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554304303.735 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554304303.735 * * [misc]simplify: Extracting #5: cost 15 inf + 44 1554304303.735 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554304303.735 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554304303.735 * * [misc]simplify: Extracting #8: cost 0 inf + 2826 1554304303.736 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304303.736 * * * * [misc]progress: [ 222 / 261 ] simplifiying candidate # 1554304303.736 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.736 * * [misc]simplify: iters left: 6 (10 enodes) 1554304303.739 * * [misc]simplify: iters left: 5 (32 enodes) 1554304303.744 * * [misc]simplify: iters left: 4 (37 enodes) 1554304303.749 * * [misc]simplify: iters left: 3 (39 enodes) 1554304303.755 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.755 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304303.755 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304303.755 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554304303.755 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554304303.755 * * [misc]simplify: Extracting #5: cost 15 inf + 44 1554304303.755 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554304303.755 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554304303.755 * * [misc]simplify: Extracting #8: cost 0 inf + 2746 1554304303.756 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554304303.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554304303.756 * * * * [misc]progress: [ 223 / 261 ] simplifiying candidate # 1554304303.756 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304303.756 * * [misc]simplify: iters left: 6 (9 enodes) 1554304303.758 * * [misc]simplify: iters left: 5 (29 enodes) 1554304303.762 * * [misc]simplify: iters left: 4 (31 enodes) 1554304303.768 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.769 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.769 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304303.769 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304303.769 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304303.769 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304303.769 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554304303.770 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554304303.770 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304303.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))) 1554304303.770 * * * * [misc]progress: [ 224 / 261 ] simplifiying candidate # 1554304303.771 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304303.771 * * [misc]simplify: iters left: 6 (9 enodes) 1554304303.775 * * [misc]simplify: iters left: 5 (29 enodes) 1554304303.784 * * [misc]simplify: iters left: 4 (31 enodes) 1554304303.795 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.795 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.796 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304303.796 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304303.796 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304303.796 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304303.796 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554304303.797 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554304303.797 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304303.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))) 1554304303.797 * * * * [misc]progress: [ 225 / 261 ] simplifiying candidate # 1554304303.798 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304303.798 * * [misc]simplify: iters left: 6 (11 enodes) 1554304303.804 * * [misc]simplify: iters left: 5 (35 enodes) 1554304303.814 * * [misc]simplify: iters left: 4 (40 enodes) 1554304303.826 * * [misc]simplify: iters left: 3 (42 enodes) 1554304303.838 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.839 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.839 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304303.839 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304303.839 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304303.839 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304303.839 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554304303.839 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554304303.840 * * [misc]simplify: Extracting #8: cost 3 inf + 1786 1554304303.841 * * [misc]simplify: Extracting #9: cost 0 inf + 3228 1554304303.841 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304303.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304303.842 * * * * [misc]progress: [ 226 / 261 ] simplifiying candidate # 1554304303.842 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304303.842 * * [misc]simplify: iters left: 6 (11 enodes) 1554304303.848 * * [misc]simplify: iters left: 5 (35 enodes) 1554304303.859 * * [misc]simplify: iters left: 4 (40 enodes) 1554304303.870 * * [misc]simplify: iters left: 3 (42 enodes) 1554304303.882 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.882 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.882 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304303.882 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304303.882 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304303.882 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304303.882 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554304303.883 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554304303.883 * * [misc]simplify: Extracting #8: cost 3 inf + 1746 1554304303.884 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554304303.885 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304303.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1554304303.885 * * * * [misc]progress: [ 227 / 261 ] simplifiying candidate # 1554304303.885 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304303.885 * * [misc]simplify: iters left: 6 (10 enodes) 1554304303.891 * * [misc]simplify: iters left: 5 (32 enodes) 1554304303.901 * * [misc]simplify: iters left: 4 (37 enodes) 1554304303.912 * * [misc]simplify: iters left: 3 (39 enodes) 1554304303.920 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.920 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.920 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304303.920 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304303.920 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304303.920 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304303.921 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554304303.921 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554304303.921 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304303.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1554304303.921 * * * * [misc]progress: [ 228 / 261 ] simplifiying candidate # 1554304303.921 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304303.921 * * [misc]simplify: iters left: 6 (9 enodes) 1554304303.924 * * [misc]simplify: iters left: 5 (29 enodes) 1554304303.928 * * [misc]simplify: iters left: 4 (31 enodes) 1554304303.934 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.934 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.934 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304303.934 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304303.934 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304303.934 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304303.935 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554304303.935 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554304303.935 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304303.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))))) 1554304303.935 * * * * [misc]progress: [ 229 / 261 ] simplifiying candidate # 1554304303.935 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554304303.935 * * [misc]simplify: iters left: 6 (9 enodes) 1554304303.938 * * [misc]simplify: iters left: 5 (29 enodes) 1554304303.943 * * [misc]simplify: iters left: 4 (31 enodes) 1554304303.951 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.951 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.951 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304303.951 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304303.952 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304303.952 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554304303.952 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554304303.952 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554304303.953 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554304303.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))))) 1554304303.953 * * * * [misc]progress: [ 230 / 261 ] simplifiying candidate # 1554304303.953 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304303.953 * * [misc]simplify: iters left: 6 (11 enodes) 1554304303.959 * * [misc]simplify: iters left: 5 (35 enodes) 1554304303.969 * * [misc]simplify: iters left: 4 (40 enodes) 1554304303.981 * * [misc]simplify: iters left: 3 (42 enodes) 1554304303.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304303.993 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304303.993 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304303.993 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304303.993 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304303.993 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304303.993 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554304303.994 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554304303.994 * * [misc]simplify: Extracting #8: cost 3 inf + 1706 1554304303.994 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554304303.994 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304303.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304303.995 * * * * [misc]progress: [ 231 / 261 ] simplifiying candidate # 1554304303.995 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304303.995 * * [misc]simplify: iters left: 6 (11 enodes) 1554304303.998 * * [misc]simplify: iters left: 5 (35 enodes) 1554304304.003 * * [misc]simplify: iters left: 4 (40 enodes) 1554304304.009 * * [misc]simplify: iters left: 3 (42 enodes) 1554304304.016 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.016 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.016 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304304.016 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304304.016 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554304304.016 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554304304.016 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554304304.016 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554304304.016 * * [misc]simplify: Extracting #8: cost 3 inf + 1666 1554304304.017 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1554304304.017 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304304.017 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1554304304.017 * * * * [misc]progress: [ 232 / 261 ] simplifiying candidate # 1554304304.017 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304304.017 * * [misc]simplify: iters left: 6 (10 enodes) 1554304304.020 * * [misc]simplify: iters left: 5 (32 enodes) 1554304304.029 * * [misc]simplify: iters left: 4 (37 enodes) 1554304304.040 * * [misc]simplify: iters left: 3 (39 enodes) 1554304304.051 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.051 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.051 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304304.051 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304304.051 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554304304.052 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554304304.052 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554304304.052 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304304.053 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554304304.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1554304304.053 * * * * [misc]progress: [ 233 / 261 ] simplifiying candidate # 1554304304.053 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554304304.053 * * [misc]simplify: iters left: 6 (8 enodes) 1554304304.060 * * [misc]simplify: iters left: 5 (26 enodes) 1554304304.068 * * [misc]simplify: iters left: 4 (28 enodes) 1554304304.076 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.076 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.076 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304304.076 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304304.076 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554304304.076 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554304304.077 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554304304.077 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554304304.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554304304.077 * * * * [misc]progress: [ 234 / 261 ] simplifiying candidate # 1554304304.078 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554304304.078 * * [misc]simplify: iters left: 6 (8 enodes) 1554304304.082 * * [misc]simplify: iters left: 5 (26 enodes) 1554304304.089 * * [misc]simplify: iters left: 4 (28 enodes) 1554304304.097 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.097 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.097 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304304.098 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304304.098 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554304304.098 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554304304.098 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554304304.099 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554304304.099 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554304304.099 * * * * [misc]progress: [ 235 / 261 ] simplifiying candidate # 1554304304.099 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304304.099 * * [misc]simplify: iters left: 6 (10 enodes) 1554304304.104 * * [misc]simplify: iters left: 5 (32 enodes) 1554304304.111 * * [misc]simplify: iters left: 4 (37 enodes) 1554304304.117 * * [misc]simplify: iters left: 3 (39 enodes) 1554304304.122 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.122 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.122 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304304.122 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304304.122 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554304304.123 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554304304.123 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554304304.123 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554304304.123 * * [misc]simplify: Extracting #8: cost 0 inf + 2826 1554304304.123 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554304304.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554304304.124 * * * * [misc]progress: [ 236 / 261 ] simplifiying candidate # 1554304304.124 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304304.124 * * [misc]simplify: iters left: 6 (10 enodes) 1554304304.126 * * [misc]simplify: iters left: 5 (32 enodes) 1554304304.131 * * [misc]simplify: iters left: 4 (37 enodes) 1554304304.137 * * [misc]simplify: iters left: 3 (39 enodes) 1554304304.145 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.145 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.145 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304304.145 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304304.145 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554304304.145 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554304304.145 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554304304.146 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554304304.146 * * [misc]simplify: Extracting #8: cost 0 inf + 2666 1554304304.146 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554304304.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1554304304.146 * * * * [misc]progress: [ 237 / 261 ] simplifiying candidate # 1554304304.146 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304304.147 * * [misc]simplify: iters left: 6 (9 enodes) 1554304304.149 * * [misc]simplify: iters left: 5 (29 enodes) 1554304304.153 * * [misc]simplify: iters left: 4 (34 enodes) 1554304304.158 * * [misc]simplify: iters left: 3 (36 enodes) 1554304304.163 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.163 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.163 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304304.163 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304304.163 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304304.165 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554304304.165 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554304304.165 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554304304.166 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304304.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304304.166 * * * * [misc]progress: [ 238 / 261 ] simplifiying candidate # 1554304304.166 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304304.166 * * [misc]simplify: iters left: 6 (9 enodes) 1554304304.168 * * [misc]simplify: iters left: 5 (29 enodes) 1554304304.173 * * [misc]simplify: iters left: 4 (34 enodes) 1554304304.179 * * [misc]simplify: iters left: 3 (36 enodes) 1554304304.190 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.190 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.190 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304304.190 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304304.190 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554304304.190 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554304304.190 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554304304.191 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554304304.191 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554304304.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304304.192 * * * * [misc]progress: [ 239 / 261 ] simplifiying candidate # 1554304304.192 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554304304.192 * * [misc]simplify: iters left: 6 (9 enodes) 1554304304.197 * * [misc]simplify: iters left: 5 (31 enodes) 1554304304.202 * * [misc]simplify: iters left: 4 (38 enodes) 1554304304.208 * * [misc]simplify: iters left: 3 (40 enodes) 1554304304.214 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.214 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.214 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304304.214 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304304.214 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554304304.214 * * [misc]simplify: Extracting #5: cost 10 inf + 129 1554304304.214 * * [misc]simplify: Extracting #6: cost 4 inf + 754 1554304304.214 * * [misc]simplify: Extracting #7: cost 0 inf + 1759 1554304304.215 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554304304.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304304.215 * * * * [misc]progress: [ 240 / 261 ] simplifiying candidate # 1554304304.215 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554304304.215 * * [misc]simplify: iters left: 3 (5 enodes) 1554304304.216 * * [misc]simplify: iters left: 2 (15 enodes) 1554304304.218 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.219 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.219 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304304.219 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554304304.219 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554304304.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) (pow PI (/ k 2)))) 1554304304.219 * * * * [misc]progress: [ 241 / 261 ] simplifiying candidate # 1554304304.219 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554304304.219 * * [misc]simplify: iters left: 3 (5 enodes) 1554304304.221 * * [misc]simplify: iters left: 2 (17 enodes) 1554304304.223 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.223 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.223 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304304.223 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554304304.224 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554304304.224 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304304.224 * [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)))))) 1554304304.224 * * * * [misc]progress: [ 242 / 261 ] simplifiying candidate # 1554304304.224 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554304304.224 * * [misc]simplify: iters left: 3 (5 enodes) 1554304304.226 * * [misc]simplify: iters left: 2 (17 enodes) 1554304304.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.228 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.228 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304304.228 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554304304.228 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554304304.228 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304304.229 * [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)))))) 1554304304.229 * * * * [misc]progress: [ 243 / 261 ] simplifiying candidate # 1554304304.229 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554304304.229 * * [misc]simplify: iters left: 5 (7 enodes) 1554304304.233 * * [misc]simplify: iters left: 4 (23 enodes) 1554304304.241 * * [misc]simplify: iters left: 3 (28 enodes) 1554304304.249 * * [misc]simplify: iters left: 2 (30 enodes) 1554304304.258 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.258 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.258 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304304.258 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304304.258 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304304.259 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304304.259 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304304.259 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304304.260 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304304.260 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1554304304.260 * * * * [misc]progress: [ 244 / 261 ] simplifiying candidate # 1554304304.260 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304304.260 * * [misc]simplify: iters left: 6 (10 enodes) 1554304304.264 * * [misc]simplify: iters left: 5 (33 enodes) 1554304304.269 * * [misc]simplify: iters left: 4 (38 enodes) 1554304304.277 * * [misc]simplify: iters left: 3 (40 enodes) 1554304304.282 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.282 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304304.282 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304304.282 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554304304.282 * * [misc]simplify: Extracting #4: cost 15 inf + 0 1554304304.282 * * [misc]simplify: Extracting #5: cost 16 inf + 3 1554304304.282 * * [misc]simplify: Extracting #6: cost 12 inf + 171 1554304304.283 * * [misc]simplify: Extracting #7: cost 4 inf + 1252 1554304304.283 * * [misc]simplify: Extracting #8: cost 0 inf + 2988 1554304304.283 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304304.283 * [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 k) (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304304.283 * * * * [misc]progress: [ 245 / 261 ] simplifiying candidate # 1554304304.284 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304304.284 * * [misc]simplify: iters left: 6 (9 enodes) 1554304304.286 * * [misc]simplify: iters left: 5 (30 enodes) 1554304304.293 * * [misc]simplify: iters left: 4 (35 enodes) 1554304304.303 * * [misc]simplify: iters left: 3 (37 enodes) 1554304304.313 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.313 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304304.314 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304304.314 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304304.314 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304304.314 * * [misc]simplify: Extracting #5: cost 9 inf + 253 1554304304.314 * * [misc]simplify: Extracting #6: cost 4 inf + 835 1554304304.315 * * [misc]simplify: Extracting #7: cost 0 inf + 2000 1554304304.316 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304304.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304304.316 * * * * [misc]progress: [ 246 / 261 ] simplifiying candidate # 1554304304.316 * * * * [misc]progress: [ 247 / 261 ] simplifiying candidate # 1554304304.316 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554304304.316 * * [misc]simplify: iters left: 5 (7 enodes) 1554304304.319 * * [misc]simplify: iters left: 4 (23 enodes) 1554304304.322 * * [misc]simplify: iters left: 3 (28 enodes) 1554304304.326 * * [misc]simplify: iters left: 2 (30 enodes) 1554304304.331 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.331 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.331 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304304.331 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304304.331 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304304.331 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304304.331 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304304.331 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304304.331 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554304304.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304304.332 * * * * [misc]progress: [ 248 / 261 ] simplifiying candidate # 1554304304.332 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554304304.332 * * [misc]simplify: iters left: 3 (5 enodes) 1554304304.334 * * [misc]simplify: iters left: 2 (17 enodes) 1554304304.336 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.337 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.337 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304304.337 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554304304.337 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554304304.337 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304304.337 * [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))))) 1554304304.337 * * * * [misc]progress: [ 249 / 261 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))> 1554304304.337 * * * * [misc]progress: [ 250 / 261 ] simplifiying candidate # 1554304304.337 * [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)))) 1554304304.337 * * [misc]simplify: iters left: 6 (18 enodes) 1554304304.342 * * [misc]simplify: iters left: 5 (73 enodes) 1554304304.356 * * [misc]simplify: iters left: 4 (156 enodes) 1554304304.399 * * [misc]simplify: iters left: 3 (419 enodes) 1554304304.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.663 * * [misc]simplify: Extracting #1: cost 64 inf + 0 1554304304.667 * * [misc]simplify: Extracting #2: cost 169 inf + 45 1554304304.669 * * [misc]simplify: Extracting #3: cost 142 inf + 4101 1554304304.676 * * [misc]simplify: Extracting #4: cost 37 inf + 24927 1554304304.688 * * [misc]simplify: Extracting #5: cost 0 inf + 32694 1554304304.710 * * [misc]simplify: Extracting #6: cost 0 inf + 32341 1554304304.731 * [exit]simplify: Simplified to (* (fma (* k (log PI)) -1/2 (fma (* (* k (log PI)) (* k (log PI))) 1/8 1)) (sqrt PI)) 1554304304.731 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (fma (* k (log PI)) -1/2 (fma (* (* k (log PI)) (* k (log PI))) 1/8 1)) (sqrt PI))))) 1554304304.731 * * * * [misc]progress: [ 251 / 261 ] simplifiying candidate # 1554304304.732 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1554304304.732 * * [misc]simplify: iters left: 5 (6 enodes) 1554304304.735 * * [misc]simplify: iters left: 4 (21 enodes) 1554304304.742 * * [misc]simplify: iters left: 3 (31 enodes) 1554304304.752 * * [misc]simplify: iters left: 2 (42 enodes) 1554304304.763 * * [misc]simplify: iters left: 1 (50 enodes) 1554304304.775 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.775 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.775 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304304.775 * * [misc]simplify: Extracting #3: cost 12 inf + 45 1554304304.775 * * [misc]simplify: Extracting #4: cost 4 inf + 598 1554304304.775 * * [misc]simplify: Extracting #5: cost 0 inf + 993 1554304304.775 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1554304304.775 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (fma -1/2 k 1/2))))) 1554304304.776 * * * * [misc]progress: [ 252 / 261 ] simplifiying candidate # 1554304304.776 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1554304304.776 * * [misc]simplify: iters left: 5 (6 enodes) 1554304304.778 * * [misc]simplify: iters left: 4 (21 enodes) 1554304304.781 * * [misc]simplify: iters left: 3 (31 enodes) 1554304304.788 * * [misc]simplify: iters left: 2 (42 enodes) 1554304304.793 * * [misc]simplify: iters left: 1 (50 enodes) 1554304304.801 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304304.801 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304304.801 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304304.802 * * [misc]simplify: Extracting #3: cost 12 inf + 45 1554304304.802 * * [misc]simplify: Extracting #4: cost 4 inf + 598 1554304304.802 * * [misc]simplify: Extracting #5: cost 0 inf + 993 1554304304.802 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1554304304.802 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (fma -1/2 k 1/2))))) 1554304304.802 * * * * [misc]progress: [ 253 / 261 ] simplifiying candidate # 1554304304.803 * [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))))) 1554304304.803 * * [misc]simplify: iters left: 6 (35 enodes) 1554304304.812 * * [misc]simplify: iters left: 5 (172 enodes) 1554304304.873 * * [misc]simplify: iters left: 4 (432 enodes) 1554304305.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304305.071 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1554304305.072 * * [misc]simplify: Extracting #2: cost 271 inf + 2 1554304305.078 * * [misc]simplify: Extracting #3: cost 341 inf + 11626 1554304305.110 * * [misc]simplify: Extracting #4: cost 126 inf + 88974 1554304305.168 * * [misc]simplify: Extracting #5: cost 5 inf + 158136 1554304305.246 * * [misc]simplify: Extracting #6: cost 0 inf + 160801 1554304305.296 * * [misc]simplify: Extracting #7: cost 0 inf + 160114 1554304305.366 * * [misc]simplify: Extracting #8: cost 0 inf + 160089 1554304305.410 * [exit]simplify: Simplified to (fma -1/2 (* (* (exp (* (+ (log 2) (log n)) 1/2)) (+ (log 2) (log n))) k) (+ (fma (* (* (log 2) (log 2)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (exp (* (+ (log 2) (log n)) 1/2))) (fma (* (* (log n) (log n)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (* (log 2) (* 1/4 (* (log n) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2))))))))) 1554304305.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log 2) (log n)) 1/2)) (+ (log 2) (log n))) k) (+ (fma (* (* (log 2) (log 2)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (exp (* (+ (log 2) (log n)) 1/2))) (fma (* (* (log n) (log n)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (* (log 2) (* 1/4 (* (log n) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2))))))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304305.410 * * * * [misc]progress: [ 254 / 261 ] simplifiying candidate # 1554304305.410 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1554304305.411 * * [misc]simplify: iters left: 6 (13 enodes) 1554304305.415 * * [misc]simplify: iters left: 5 (53 enodes) 1554304305.428 * * [misc]simplify: iters left: 4 (89 enodes) 1554304305.447 * * [misc]simplify: iters left: 3 (186 enodes) 1554304305.515 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304305.516 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304305.516 * * [misc]simplify: Extracting #2: cost 81 inf + 0 1554304305.517 * * [misc]simplify: Extracting #3: cost 118 inf + 975 1554304305.520 * * [misc]simplify: Extracting #4: cost 42 inf + 14648 1554304305.526 * * [misc]simplify: Extracting #5: cost 7 inf + 22458 1554304305.534 * * [misc]simplify: Extracting #6: cost 0 inf + 24671 1554304305.542 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1554304305.542 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (fma -1/2 k 1/2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304305.542 * * * * [misc]progress: [ 255 / 261 ] simplifiying candidate # 1554304305.543 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1554304305.543 * * [misc]simplify: iters left: 6 (13 enodes) 1554304305.549 * * [misc]simplify: iters left: 5 (50 enodes) 1554304305.564 * * [misc]simplify: iters left: 4 (92 enodes) 1554304305.598 * * [misc]simplify: iters left: 3 (230 enodes) 1554304305.699 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304305.699 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304305.700 * * [misc]simplify: Extracting #2: cost 103 inf + 0 1554304305.701 * * [misc]simplify: Extracting #3: cost 185 inf + 572 1554304305.704 * * [misc]simplify: Extracting #4: cost 140 inf + 6446 1554304305.713 * * [misc]simplify: Extracting #5: cost 52 inf + 25533 1554304305.720 * * [misc]simplify: Extracting #6: cost 4 inf + 40252 1554304305.728 * * [misc]simplify: Extracting #7: cost 0 inf + 41864 1554304305.736 * [exit]simplify: Simplified to (pow (/ -2 (/ -1 n)) (fma k -1/2 1/2)) 1554304305.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ -2 (/ -1 n)) (fma k -1/2 1/2)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554304305.736 * * * * [misc]progress: [ 256 / 261 ] simplifiying candidate # 1554304305.737 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 3))) (- (+ (* +nan.0 (* (* (log PI) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) (pow k 3)) (sqrt (/ 1 PI)))) (- (+ (* +nan.0 (* (sqrt (/ 1 PI)) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt (/ 1 PI)))) (- (* +nan.0 (* (sqrt (/ 1 PI)) (pow k 2)))))))))))))) 1554304305.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) +nan.0)) 1554304305.737 * * * * [misc]progress: [ 257 / 261 ] simplifiying candidate # 1554304305.737 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))) 1554304305.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) +nan.0)) 1554304305.737 * * * * [misc]progress: [ 258 / 261 ] simplifiying candidate # 1554304305.737 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))) 1554304305.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) +nan.0)) 1554304305.737 * * * * [misc]progress: [ 259 / 261 ] simplifiying candidate # 1554304305.738 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))) 1554304305.738 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304305.738 * * * * [misc]progress: [ 260 / 261 ] simplifiying candidate # 1554304305.739 * [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)))))))) 1554304305.739 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304305.739 * * * * [misc]progress: [ 261 / 261 ] simplifiying candidate # 1554304305.739 * [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)))))))) 1554304305.739 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304305.739 * * * [misc]progress: adding candidates to table 1554304309.210 * * [misc]progress: iteration 4 / 4 1554304309.210 * * * [misc]progress: picking best candidate 1554304309.250 * * * * [misc]pick: Picked # 1554304309.250 * * * [misc]progress: localizing error 1554304309.267 * * * [misc]progress: generating rewritten candidates 1554304309.267 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1554304309.269 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1554304309.273 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1554304309.284 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1554304309.310 * * * [misc]progress: generating series expansions 1554304309.310 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1554304309.311 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1554304309.311 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1554304309.311 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304309.311 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304309.311 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304309.311 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.311 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.311 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.311 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.311 * [misc]taylor: Taking taylor expansion of k in k 1554304309.311 * [misc]backup-simplify: Simplify 0 into 0 1554304309.311 * [misc]backup-simplify: Simplify 1 into 1 1554304309.311 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.311 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.311 * [misc]backup-simplify: Simplify PI into PI 1554304309.312 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.312 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.312 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.312 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.313 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.313 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304309.314 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304309.314 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304309.314 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304309.314 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.314 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.314 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.314 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.314 * [misc]taylor: Taking taylor expansion of k in k 1554304309.314 * [misc]backup-simplify: Simplify 0 into 0 1554304309.314 * [misc]backup-simplify: Simplify 1 into 1 1554304309.314 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.314 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.314 * [misc]backup-simplify: Simplify PI into PI 1554304309.314 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.314 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.315 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.315 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.315 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.316 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304309.317 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1554304309.319 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304309.319 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304309.319 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.320 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554304309.324 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304309.325 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304309.329 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304309.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.330 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554304309.335 * [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))) 1554304309.337 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1554304309.346 * [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)))) 1554304309.346 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.346 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1554304309.346 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.346 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304309.346 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304309.346 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.346 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.346 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.346 * [misc]taylor: Taking taylor expansion of k in k 1554304309.346 * [misc]backup-simplify: Simplify 0 into 0 1554304309.347 * [misc]backup-simplify: Simplify 1 into 1 1554304309.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.347 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.347 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.347 * [misc]backup-simplify: Simplify PI into PI 1554304309.347 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.347 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.347 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.348 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.348 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304309.348 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.348 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.348 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304309.348 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304309.348 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.349 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.349 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.349 * [misc]taylor: Taking taylor expansion of k in k 1554304309.349 * [misc]backup-simplify: Simplify 0 into 0 1554304309.349 * [misc]backup-simplify: Simplify 1 into 1 1554304309.349 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.349 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.349 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.349 * [misc]backup-simplify: Simplify PI into PI 1554304309.349 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.349 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.349 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.350 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.350 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304309.350 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.351 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.351 * [misc]backup-simplify: Simplify 0 into 0 1554304309.351 * [misc]backup-simplify: Simplify 0 into 0 1554304309.351 * [misc]backup-simplify: Simplify 0 into 0 1554304309.351 * [misc]backup-simplify: Simplify 0 into 0 1554304309.351 * [misc]backup-simplify: Simplify 0 into 0 1554304309.351 * [misc]backup-simplify: Simplify 0 into 0 1554304309.351 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1554304309.351 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.351 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1554304309.351 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.351 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304309.351 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304309.351 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.351 * [misc]taylor: Taking taylor expansion of k in k 1554304309.352 * [misc]backup-simplify: Simplify 0 into 0 1554304309.352 * [misc]backup-simplify: Simplify 1 into 1 1554304309.352 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.352 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.352 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.352 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.352 * [misc]backup-simplify: Simplify PI into PI 1554304309.352 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.352 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.352 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.353 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.353 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.353 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.353 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304309.353 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304309.353 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.353 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.353 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.353 * [misc]taylor: Taking taylor expansion of k in k 1554304309.353 * [misc]backup-simplify: Simplify 0 into 0 1554304309.353 * [misc]backup-simplify: Simplify 1 into 1 1554304309.354 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.354 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.354 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.354 * [misc]backup-simplify: Simplify PI into PI 1554304309.354 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.354 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.354 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.355 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.355 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.355 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.355 * [misc]backup-simplify: Simplify 0 into 0 1554304309.355 * [misc]backup-simplify: Simplify 0 into 0 1554304309.355 * [misc]backup-simplify: Simplify 0 into 0 1554304309.355 * [misc]backup-simplify: Simplify 0 into 0 1554304309.355 * [misc]backup-simplify: Simplify 0 into 0 1554304309.355 * [misc]backup-simplify: Simplify 0 into 0 1554304309.356 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1554304309.356 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1554304309.356 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1554304309.356 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1554304309.356 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.356 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.356 * [misc]taylor: Taking taylor expansion of k in k 1554304309.356 * [misc]backup-simplify: Simplify 0 into 0 1554304309.356 * [misc]backup-simplify: Simplify 1 into 1 1554304309.356 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554304309.356 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.356 * [misc]backup-simplify: Simplify 2 into 2 1554304309.356 * [misc]taylor: Taking taylor expansion of n in k 1554304309.356 * [misc]backup-simplify: Simplify n into n 1554304309.356 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554304309.356 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554304309.357 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.357 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.357 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.357 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554304309.357 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554304309.357 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304309.357 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304309.357 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304309.357 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.357 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.357 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.357 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.357 * [misc]taylor: Taking taylor expansion of k in n 1554304309.357 * [misc]backup-simplify: Simplify k into k 1554304309.357 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304309.358 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304309.358 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.358 * [misc]backup-simplify: Simplify 2 into 2 1554304309.358 * [misc]taylor: Taking taylor expansion of n in n 1554304309.358 * [misc]backup-simplify: Simplify 0 into 0 1554304309.358 * [misc]backup-simplify: Simplify 1 into 1 1554304309.358 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304309.358 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304309.358 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.358 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.358 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.358 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.359 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.359 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304309.359 * [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)))) 1554304309.359 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304309.359 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304309.359 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304309.359 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.359 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.360 * [misc]taylor: Taking taylor expansion of k in n 1554304309.360 * [misc]backup-simplify: Simplify k into k 1554304309.360 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304309.360 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304309.360 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.360 * [misc]backup-simplify: Simplify 2 into 2 1554304309.360 * [misc]taylor: Taking taylor expansion of n in n 1554304309.360 * [misc]backup-simplify: Simplify 0 into 0 1554304309.360 * [misc]backup-simplify: Simplify 1 into 1 1554304309.360 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304309.360 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304309.360 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.360 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.360 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.361 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.361 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.361 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304309.361 * [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)))) 1554304309.362 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.362 * [misc]backup-simplify: Simplify 2 into 2 1554304309.362 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.362 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of n in k 1554304309.362 * [misc]backup-simplify: Simplify n into n 1554304309.362 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.362 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.362 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.362 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.362 * [misc]taylor: Taking taylor expansion of k in k 1554304309.362 * [misc]backup-simplify: Simplify 0 into 0 1554304309.362 * [misc]backup-simplify: Simplify 1 into 1 1554304309.362 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554304309.363 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.363 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.363 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.363 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554304309.364 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304309.364 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304309.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.367 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.367 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304309.367 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.368 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.368 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.368 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554304309.369 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.369 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.369 * [misc]backup-simplify: Simplify 0 into 0 1554304309.370 * [misc]backup-simplify: Simplify 0 into 0 1554304309.370 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304309.370 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.370 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.373 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304309.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.374 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554304309.375 * [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))))) 1554304309.376 * [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))))) 1554304309.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304309.380 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.380 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304309.381 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.381 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.382 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554304309.383 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304309.384 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.384 * [misc]backup-simplify: Simplify 0 into 0 1554304309.384 * [misc]backup-simplify: Simplify 0 into 0 1554304309.384 * [misc]backup-simplify: Simplify 0 into 0 1554304309.384 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.384 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.388 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.390 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304309.390 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.390 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554304309.392 * [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))))) 1554304309.393 * [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))))) 1554304309.395 * [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))))) 1554304309.395 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.395 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554304309.395 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of k in k 1554304309.395 * [misc]backup-simplify: Simplify 0 into 0 1554304309.395 * [misc]backup-simplify: Simplify 1 into 1 1554304309.395 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.395 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554304309.395 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.395 * [misc]backup-simplify: Simplify 2 into 2 1554304309.395 * [misc]taylor: Taking taylor expansion of n in k 1554304309.395 * [misc]backup-simplify: Simplify n into n 1554304309.396 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554304309.396 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554304309.396 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.396 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.396 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.396 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554304309.396 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.396 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.396 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304309.396 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304309.396 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.396 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.396 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.396 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.396 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.396 * [misc]taylor: Taking taylor expansion of k in n 1554304309.396 * [misc]backup-simplify: Simplify k into k 1554304309.396 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.396 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304309.397 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304309.397 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.397 * [misc]backup-simplify: Simplify 2 into 2 1554304309.397 * [misc]taylor: Taking taylor expansion of n in n 1554304309.397 * [misc]backup-simplify: Simplify 0 into 0 1554304309.397 * [misc]backup-simplify: Simplify 1 into 1 1554304309.397 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304309.397 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.397 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.397 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.397 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.397 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.397 * [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))) 1554304309.398 * [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)))) 1554304309.398 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of k in n 1554304309.398 * [misc]backup-simplify: Simplify k into k 1554304309.398 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.398 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304309.398 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.398 * [misc]backup-simplify: Simplify 2 into 2 1554304309.398 * [misc]taylor: Taking taylor expansion of n in n 1554304309.398 * [misc]backup-simplify: Simplify 0 into 0 1554304309.398 * [misc]backup-simplify: Simplify 1 into 1 1554304309.398 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304309.398 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.398 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.398 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.398 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.399 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.399 * [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))) 1554304309.399 * [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)))) 1554304309.399 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.399 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.399 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of k in k 1554304309.399 * [misc]backup-simplify: Simplify 0 into 0 1554304309.399 * [misc]backup-simplify: Simplify 1 into 1 1554304309.399 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.399 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304309.399 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.399 * [misc]backup-simplify: Simplify 2 into 2 1554304309.400 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.400 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.400 * [misc]taylor: Taking taylor expansion of n in k 1554304309.400 * [misc]backup-simplify: Simplify n into n 1554304309.400 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.400 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.400 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.400 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.400 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304309.400 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554304309.400 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554304309.400 * [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)))) 1554304309.401 * [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)))) 1554304309.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554304309.402 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.403 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.403 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.403 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.403 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554304309.404 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.404 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.404 * [misc]backup-simplify: Simplify 0 into 0 1554304309.404 * [misc]backup-simplify: Simplify 0 into 0 1554304309.404 * [misc]backup-simplify: Simplify 0 into 0 1554304309.404 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.407 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.408 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.408 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554304309.409 * [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 1554304309.409 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.409 * [misc]backup-simplify: Simplify 0 into 0 1554304309.409 * [misc]backup-simplify: Simplify 0 into 0 1554304309.409 * [misc]backup-simplify: Simplify 0 into 0 1554304309.409 * [misc]backup-simplify: Simplify 0 into 0 1554304309.410 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.414 * [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 1554304309.414 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.414 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304309.414 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.415 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.415 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554304309.417 * [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 1554304309.417 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.417 * [misc]backup-simplify: Simplify 0 into 0 1554304309.418 * [misc]backup-simplify: Simplify 0 into 0 1554304309.418 * [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)))) 1554304309.418 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.418 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554304309.418 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of k in k 1554304309.418 * [misc]backup-simplify: Simplify 0 into 0 1554304309.418 * [misc]backup-simplify: Simplify 1 into 1 1554304309.418 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.418 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554304309.418 * [misc]taylor: Taking taylor expansion of -2 in k 1554304309.418 * [misc]backup-simplify: Simplify -2 into -2 1554304309.418 * [misc]taylor: Taking taylor expansion of n in k 1554304309.418 * [misc]backup-simplify: Simplify n into n 1554304309.418 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554304309.418 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554304309.419 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.419 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.419 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554304309.419 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.419 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of k in n 1554304309.419 * [misc]backup-simplify: Simplify k into k 1554304309.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.419 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304309.419 * [misc]taylor: Taking taylor expansion of -2 in n 1554304309.419 * [misc]backup-simplify: Simplify -2 into -2 1554304309.419 * [misc]taylor: Taking taylor expansion of n in n 1554304309.419 * [misc]backup-simplify: Simplify 0 into 0 1554304309.419 * [misc]backup-simplify: Simplify 1 into 1 1554304309.419 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304309.419 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.419 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.420 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.420 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.420 * [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))) 1554304309.420 * [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)))) 1554304309.420 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304309.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304309.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.420 * [misc]taylor: Taking taylor expansion of k in n 1554304309.420 * [misc]backup-simplify: Simplify k into k 1554304309.420 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.421 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304309.421 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304309.421 * [misc]taylor: Taking taylor expansion of -2 in n 1554304309.421 * [misc]backup-simplify: Simplify -2 into -2 1554304309.421 * [misc]taylor: Taking taylor expansion of n in n 1554304309.421 * [misc]backup-simplify: Simplify 0 into 0 1554304309.421 * [misc]backup-simplify: Simplify 1 into 1 1554304309.421 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304309.421 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.421 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.422 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.422 * [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))) 1554304309.422 * [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)))) 1554304309.422 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554304309.422 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554304309.422 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.423 * [misc]taylor: Taking taylor expansion of k in k 1554304309.423 * [misc]backup-simplify: Simplify 0 into 0 1554304309.423 * [misc]backup-simplify: Simplify 1 into 1 1554304309.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.423 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554304309.423 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554304309.423 * [misc]taylor: Taking taylor expansion of -2 in k 1554304309.423 * [misc]backup-simplify: Simplify -2 into -2 1554304309.423 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.423 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.423 * [misc]taylor: Taking taylor expansion of n in k 1554304309.423 * [misc]backup-simplify: Simplify n into n 1554304309.423 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.424 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.424 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304309.424 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554304309.424 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554304309.425 * [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)))) 1554304309.425 * [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)))) 1554304309.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554304309.428 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554304309.429 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.430 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554304309.431 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.431 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.431 * [misc]backup-simplify: Simplify 0 into 0 1554304309.431 * [misc]backup-simplify: Simplify 0 into 0 1554304309.431 * [misc]backup-simplify: Simplify 0 into 0 1554304309.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.436 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554304309.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.438 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554304309.440 * [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 1554304309.440 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.440 * [misc]backup-simplify: Simplify 0 into 0 1554304309.440 * [misc]backup-simplify: Simplify 0 into 0 1554304309.440 * [misc]backup-simplify: Simplify 0 into 0 1554304309.440 * [misc]backup-simplify: Simplify 0 into 0 1554304309.441 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.448 * [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 1554304309.448 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304309.449 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.449 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.450 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1554304309.453 * [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 1554304309.453 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.453 * [misc]backup-simplify: Simplify 0 into 0 1554304309.453 * [misc]backup-simplify: Simplify 0 into 0 1554304309.453 * [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))))) 1554304309.453 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1554304309.454 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1554304309.454 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1554304309.454 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.454 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.454 * [misc]taylor: Taking taylor expansion of k in k 1554304309.454 * [misc]backup-simplify: Simplify 0 into 0 1554304309.454 * [misc]backup-simplify: Simplify 1 into 1 1554304309.454 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554304309.454 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.454 * [misc]backup-simplify: Simplify 2 into 2 1554304309.454 * [misc]taylor: Taking taylor expansion of n in k 1554304309.454 * [misc]backup-simplify: Simplify n into n 1554304309.454 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554304309.454 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554304309.455 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.455 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.455 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.455 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554304309.455 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554304309.455 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304309.455 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.455 * [misc]taylor: Taking taylor expansion of k in k 1554304309.455 * [misc]backup-simplify: Simplify 0 into 0 1554304309.455 * [misc]backup-simplify: Simplify 1 into 1 1554304309.455 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.456 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.456 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.456 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1554304309.456 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304309.456 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304309.456 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304309.456 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.456 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.456 * [misc]taylor: Taking taylor expansion of k in n 1554304309.457 * [misc]backup-simplify: Simplify k into k 1554304309.457 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304309.457 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304309.457 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.457 * [misc]backup-simplify: Simplify 2 into 2 1554304309.457 * [misc]taylor: Taking taylor expansion of n in n 1554304309.457 * [misc]backup-simplify: Simplify 0 into 0 1554304309.457 * [misc]backup-simplify: Simplify 1 into 1 1554304309.457 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304309.457 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304309.457 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.457 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.457 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.458 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.458 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.458 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304309.458 * [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)))) 1554304309.458 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of k in n 1554304309.459 * [misc]backup-simplify: Simplify k into k 1554304309.459 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.459 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304309.459 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.459 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304309.459 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.459 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.459 * [misc]taylor: Taking taylor expansion of k in n 1554304309.459 * [misc]backup-simplify: Simplify k into k 1554304309.459 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304309.459 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.459 * [misc]backup-simplify: Simplify 2 into 2 1554304309.459 * [misc]taylor: Taking taylor expansion of n in n 1554304309.459 * [misc]backup-simplify: Simplify 0 into 0 1554304309.459 * [misc]backup-simplify: Simplify 1 into 1 1554304309.460 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304309.460 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304309.460 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.460 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.460 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.460 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.461 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.461 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304309.461 * [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)))) 1554304309.461 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304309.461 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.461 * [misc]taylor: Taking taylor expansion of k in n 1554304309.461 * [misc]backup-simplify: Simplify k into k 1554304309.461 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.461 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304309.462 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.462 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304309.462 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1554304309.462 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1554304309.462 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554304309.462 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554304309.462 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554304309.462 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304309.462 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.462 * [misc]backup-simplify: Simplify 2 into 2 1554304309.463 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.463 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.463 * [misc]taylor: Taking taylor expansion of n in k 1554304309.463 * [misc]backup-simplify: Simplify n into n 1554304309.463 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.463 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.463 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.463 * [misc]taylor: Taking taylor expansion of k in k 1554304309.463 * [misc]backup-simplify: Simplify 0 into 0 1554304309.463 * [misc]backup-simplify: Simplify 1 into 1 1554304309.463 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554304309.463 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.463 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.464 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.464 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554304309.464 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304309.464 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304309.464 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.464 * [misc]taylor: Taking taylor expansion of k in k 1554304309.464 * [misc]backup-simplify: Simplify 0 into 0 1554304309.464 * [misc]backup-simplify: Simplify 1 into 1 1554304309.464 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.465 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.465 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.465 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1554304309.465 * [misc]backup-simplify: Simplify 0 into 0 1554304309.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.468 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304309.469 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.469 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.470 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554304309.471 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.471 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1554304309.471 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.471 * [misc]backup-simplify: Simplify 0 into 0 1554304309.472 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304309.472 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.472 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.474 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.475 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304309.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.476 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554304309.476 * [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))))) 1554304309.477 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1554304309.478 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1554304309.478 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.479 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1554304309.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304309.484 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304309.484 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.485 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.485 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554304309.487 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304309.488 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1554304309.488 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.488 * [misc]backup-simplify: Simplify 0 into 0 1554304309.488 * [misc]backup-simplify: Simplify 0 into 0 1554304309.488 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304309.489 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304309.489 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.489 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.495 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.497 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304309.497 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.498 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554304309.499 * [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))))) 1554304309.502 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1554304309.503 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1554304309.503 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.504 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1554304309.504 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1554304309.510 * [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 1554304309.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554304309.511 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.512 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.512 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1554304309.515 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304309.516 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1554304309.516 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.516 * [misc]backup-simplify: Simplify 0 into 0 1554304309.516 * [misc]backup-simplify: Simplify 0 into 0 1554304309.516 * [misc]backup-simplify: Simplify 0 into 0 1554304309.516 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.518 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304309.518 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304309.518 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.518 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.525 * [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 1554304309.527 * [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 1554304309.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.528 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1554304309.531 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1554304309.536 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1554304309.539 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1554304309.546 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1554304309.546 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1554304309.546 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1554304309.546 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1554304309.546 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of k in k 1554304309.547 * [misc]backup-simplify: Simplify 0 into 0 1554304309.547 * [misc]backup-simplify: Simplify 1 into 1 1554304309.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.547 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554304309.547 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.547 * [misc]backup-simplify: Simplify 2 into 2 1554304309.547 * [misc]taylor: Taking taylor expansion of n in k 1554304309.547 * [misc]backup-simplify: Simplify n into n 1554304309.547 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554304309.547 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554304309.547 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.548 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.548 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554304309.548 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.548 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304309.548 * [misc]taylor: Taking taylor expansion of k in k 1554304309.548 * [misc]backup-simplify: Simplify 0 into 0 1554304309.548 * [misc]backup-simplify: Simplify 1 into 1 1554304309.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.549 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.549 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of k in n 1554304309.549 * [misc]backup-simplify: Simplify k into k 1554304309.549 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.549 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304309.549 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.549 * [misc]backup-simplify: Simplify 2 into 2 1554304309.549 * [misc]taylor: Taking taylor expansion of n in n 1554304309.549 * [misc]backup-simplify: Simplify 0 into 0 1554304309.550 * [misc]backup-simplify: Simplify 1 into 1 1554304309.550 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304309.550 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.550 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.550 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.550 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.550 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.551 * [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))) 1554304309.551 * [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)))) 1554304309.551 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304309.551 * [misc]taylor: Taking taylor expansion of k in n 1554304309.551 * [misc]backup-simplify: Simplify k into k 1554304309.551 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304309.551 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304309.551 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1554304309.551 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.551 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304309.551 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304309.551 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.552 * [misc]taylor: Taking taylor expansion of k in n 1554304309.552 * [misc]backup-simplify: Simplify k into k 1554304309.552 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.552 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304309.552 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304309.552 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.552 * [misc]backup-simplify: Simplify 2 into 2 1554304309.552 * [misc]taylor: Taking taylor expansion of n in n 1554304309.552 * [misc]backup-simplify: Simplify 0 into 0 1554304309.552 * [misc]backup-simplify: Simplify 1 into 1 1554304309.552 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304309.552 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.552 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.552 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.552 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.553 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.553 * [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))) 1554304309.553 * [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)))) 1554304309.553 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304309.553 * [misc]taylor: Taking taylor expansion of k in n 1554304309.554 * [misc]backup-simplify: Simplify k into k 1554304309.554 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304309.554 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304309.554 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1554304309.554 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1554304309.554 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304309.554 * [misc]taylor: Taking taylor expansion of k in k 1554304309.554 * [misc]backup-simplify: Simplify 0 into 0 1554304309.554 * [misc]backup-simplify: Simplify 1 into 1 1554304309.554 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.555 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.555 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of k in k 1554304309.555 * [misc]backup-simplify: Simplify 0 into 0 1554304309.555 * [misc]backup-simplify: Simplify 1 into 1 1554304309.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.555 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304309.555 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.555 * [misc]backup-simplify: Simplify 2 into 2 1554304309.556 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.556 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.556 * [misc]taylor: Taking taylor expansion of n in k 1554304309.556 * [misc]backup-simplify: Simplify n into n 1554304309.556 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.556 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.556 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.556 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.556 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304309.557 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554304309.557 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554304309.557 * [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)))) 1554304309.557 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1554304309.557 * [misc]backup-simplify: Simplify 0 into 0 1554304309.558 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554304309.560 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.561 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.561 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.561 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.562 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554304309.563 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.563 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1554304309.564 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.564 * [misc]backup-simplify: Simplify 0 into 0 1554304309.564 * [misc]backup-simplify: Simplify 0 into 0 1554304309.564 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.564 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.565 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1554304309.566 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.570 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.570 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.571 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.571 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.571 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.572 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554304309.574 * [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 1554304309.574 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1554304309.574 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.574 * [misc]backup-simplify: Simplify 0 into 0 1554304309.574 * [misc]backup-simplify: Simplify 0 into 0 1554304309.574 * [misc]backup-simplify: Simplify 0 into 0 1554304309.576 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304309.576 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.577 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.577 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1554304309.577 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.584 * [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 1554304309.584 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.585 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304309.585 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.586 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554304309.589 * [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 1554304309.590 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1554304309.590 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.590 * [misc]backup-simplify: Simplify 0 into 0 1554304309.590 * [misc]backup-simplify: Simplify 0 into 0 1554304309.590 * [misc]backup-simplify: Simplify 0 into 0 1554304309.590 * [misc]backup-simplify: Simplify 0 into 0 1554304309.592 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304309.592 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.593 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.594 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1554304309.595 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1554304309.595 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1554304309.595 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.595 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.595 * [misc]taylor: Taking taylor expansion of k in k 1554304309.595 * [misc]backup-simplify: Simplify 0 into 0 1554304309.595 * [misc]backup-simplify: Simplify 1 into 1 1554304309.595 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.596 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554304309.596 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554304309.596 * [misc]taylor: Taking taylor expansion of -2 in k 1554304309.596 * [misc]backup-simplify: Simplify -2 into -2 1554304309.596 * [misc]taylor: Taking taylor expansion of n in k 1554304309.596 * [misc]backup-simplify: Simplify n into n 1554304309.596 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554304309.596 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554304309.596 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.596 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.596 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554304309.596 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.596 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304309.596 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304309.597 * [misc]taylor: Taking taylor expansion of -1 in k 1554304309.597 * [misc]backup-simplify: Simplify -1 into -1 1554304309.597 * [misc]taylor: Taking taylor expansion of k in k 1554304309.597 * [misc]backup-simplify: Simplify 0 into 0 1554304309.597 * [misc]backup-simplify: Simplify 1 into 1 1554304309.597 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304309.597 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.598 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304309.598 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1554304309.598 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.598 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of k in n 1554304309.598 * [misc]backup-simplify: Simplify k into k 1554304309.598 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.598 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.598 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304309.598 * [misc]taylor: Taking taylor expansion of -2 in n 1554304309.598 * [misc]backup-simplify: Simplify -2 into -2 1554304309.598 * [misc]taylor: Taking taylor expansion of n in n 1554304309.598 * [misc]backup-simplify: Simplify 0 into 0 1554304309.598 * [misc]backup-simplify: Simplify 1 into 1 1554304309.599 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304309.599 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.599 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.599 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.600 * [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))) 1554304309.600 * [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)))) 1554304309.600 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304309.600 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304309.600 * [misc]taylor: Taking taylor expansion of -1 in n 1554304309.600 * [misc]backup-simplify: Simplify -1 into -1 1554304309.600 * [misc]taylor: Taking taylor expansion of k in n 1554304309.600 * [misc]backup-simplify: Simplify k into k 1554304309.600 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304309.600 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304309.601 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304309.601 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304309.601 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1554304309.601 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.601 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.601 * [misc]taylor: Taking taylor expansion of k in n 1554304309.601 * [misc]backup-simplify: Simplify k into k 1554304309.601 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.602 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304309.602 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304309.602 * [misc]taylor: Taking taylor expansion of -2 in n 1554304309.602 * [misc]backup-simplify: Simplify -2 into -2 1554304309.602 * [misc]taylor: Taking taylor expansion of n in n 1554304309.602 * [misc]backup-simplify: Simplify 0 into 0 1554304309.602 * [misc]backup-simplify: Simplify 1 into 1 1554304309.602 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304309.602 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.602 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.602 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.603 * [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))) 1554304309.603 * [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)))) 1554304309.603 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304309.603 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304309.603 * [misc]taylor: Taking taylor expansion of -1 in n 1554304309.603 * [misc]backup-simplify: Simplify -1 into -1 1554304309.603 * [misc]taylor: Taking taylor expansion of k in n 1554304309.603 * [misc]backup-simplify: Simplify k into k 1554304309.603 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304309.603 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304309.604 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304309.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304309.604 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1554304309.604 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1554304309.604 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554304309.604 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554304309.604 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.604 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.604 * [misc]taylor: Taking taylor expansion of k in k 1554304309.604 * [misc]backup-simplify: Simplify 0 into 0 1554304309.604 * [misc]backup-simplify: Simplify 1 into 1 1554304309.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.605 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554304309.605 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554304309.605 * [misc]taylor: Taking taylor expansion of -2 in k 1554304309.605 * [misc]backup-simplify: Simplify -2 into -2 1554304309.605 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.605 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.605 * [misc]taylor: Taking taylor expansion of n in k 1554304309.605 * [misc]backup-simplify: Simplify n into n 1554304309.605 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.605 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.605 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.606 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304309.606 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554304309.606 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554304309.606 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1554304309.606 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304309.606 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304309.606 * [misc]taylor: Taking taylor expansion of -1 in k 1554304309.606 * [misc]backup-simplify: Simplify -1 into -1 1554304309.606 * [misc]taylor: Taking taylor expansion of k in k 1554304309.606 * [misc]backup-simplify: Simplify 0 into 0 1554304309.606 * [misc]backup-simplify: Simplify 1 into 1 1554304309.607 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304309.607 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.607 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304309.608 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1554304309.608 * [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))))) 1554304309.608 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554304309.611 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554304309.611 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.611 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.611 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.612 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.612 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554304309.613 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.614 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1554304309.614 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.614 * [misc]backup-simplify: Simplify 0 into 0 1554304309.614 * [misc]backup-simplify: Simplify 0 into 0 1554304309.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304309.615 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304309.616 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1554304309.616 * [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)))))) 1554304309.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.622 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554304309.622 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.622 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.622 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.623 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.623 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554304309.625 * [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 1554304309.626 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.626 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554304309.627 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1554304309.627 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.627 * [misc]backup-simplify: Simplify 0 into 0 1554304309.627 * [misc]backup-simplify: Simplify 0 into 0 1554304309.627 * [misc]backup-simplify: Simplify 0 into 0 1554304309.627 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.629 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304309.630 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1554304309.630 * [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)))))) 1554304309.632 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1554304309.632 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1554304309.632 * [misc]backup-simplify: Simplify (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1554304309.632 * [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 (n k) around 0 1554304309.632 * [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 1554304309.632 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1554304309.632 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554304309.632 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554304309.632 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554304309.633 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.633 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.633 * [misc]taylor: Taking taylor expansion of k in k 1554304309.633 * [misc]backup-simplify: Simplify 0 into 0 1554304309.633 * [misc]backup-simplify: Simplify 1 into 1 1554304309.633 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554304309.633 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554304309.633 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.633 * [misc]backup-simplify: Simplify 2 into 2 1554304309.633 * [misc]taylor: Taking taylor expansion of n in k 1554304309.633 * [misc]backup-simplify: Simplify n into n 1554304309.633 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554304309.633 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554304309.633 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.633 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.634 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.634 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554304309.634 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554304309.634 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304309.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304309.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304309.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.634 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.634 * [misc]taylor: Taking taylor expansion of k in k 1554304309.634 * [misc]backup-simplify: Simplify 0 into 0 1554304309.634 * [misc]backup-simplify: Simplify 1 into 1 1554304309.634 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.634 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.634 * [misc]backup-simplify: Simplify PI into PI 1554304309.635 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.635 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.635 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.635 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.636 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.636 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304309.636 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304309.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.636 * [misc]taylor: Taking taylor expansion of k in k 1554304309.636 * [misc]backup-simplify: Simplify 0 into 0 1554304309.636 * [misc]backup-simplify: Simplify 1 into 1 1554304309.637 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.637 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.637 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.637 * [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 1554304309.637 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1554304309.637 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304309.637 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304309.637 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304309.637 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.638 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.638 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.638 * [misc]taylor: Taking taylor expansion of k in n 1554304309.638 * [misc]backup-simplify: Simplify k into k 1554304309.638 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304309.638 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304309.638 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.638 * [misc]backup-simplify: Simplify 2 into 2 1554304309.638 * [misc]taylor: Taking taylor expansion of n in n 1554304309.638 * [misc]backup-simplify: Simplify 0 into 0 1554304309.638 * [misc]backup-simplify: Simplify 1 into 1 1554304309.638 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304309.638 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304309.638 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.638 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.639 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.639 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.639 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.639 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304309.640 * [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)))) 1554304309.640 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1554304309.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1554304309.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1554304309.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.640 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.640 * [misc]taylor: Taking taylor expansion of k in n 1554304309.640 * [misc]backup-simplify: Simplify k into k 1554304309.640 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304309.640 * [misc]taylor: Taking taylor expansion of PI in n 1554304309.640 * [misc]backup-simplify: Simplify PI into PI 1554304309.640 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.640 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.640 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.640 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.641 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1554304309.641 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1554304309.641 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304309.641 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.641 * [misc]taylor: Taking taylor expansion of k in n 1554304309.641 * [misc]backup-simplify: Simplify k into k 1554304309.641 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.641 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304309.641 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.642 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304309.642 * [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 1554304309.642 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.642 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.642 * [misc]taylor: Taking taylor expansion of k in n 1554304309.642 * [misc]backup-simplify: Simplify k into k 1554304309.642 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554304309.642 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.642 * [misc]backup-simplify: Simplify 2 into 2 1554304309.642 * [misc]taylor: Taking taylor expansion of n in n 1554304309.642 * [misc]backup-simplify: Simplify 0 into 0 1554304309.642 * [misc]backup-simplify: Simplify 1 into 1 1554304309.642 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554304309.642 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554304309.643 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.643 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.643 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.643 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.643 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.643 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554304309.644 * [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)))) 1554304309.644 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1554304309.644 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1554304309.644 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1554304309.644 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554304309.644 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.644 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554304309.644 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.644 * [misc]taylor: Taking taylor expansion of k in n 1554304309.644 * [misc]backup-simplify: Simplify k into k 1554304309.644 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304309.644 * [misc]taylor: Taking taylor expansion of PI in n 1554304309.644 * [misc]backup-simplify: Simplify PI into PI 1554304309.644 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.645 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554304309.645 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554304309.645 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554304309.645 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1554304309.645 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1554304309.645 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554304309.645 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.645 * [misc]taylor: Taking taylor expansion of k in n 1554304309.645 * [misc]backup-simplify: Simplify k into k 1554304309.645 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.646 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554304309.646 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.646 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554304309.646 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1554304309.647 * [misc]backup-simplify: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1554304309.647 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k 1554304309.647 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554304309.648 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.648 * [misc]taylor: Taking taylor expansion of k in k 1554304309.648 * [misc]backup-simplify: Simplify 0 into 0 1554304309.648 * [misc]backup-simplify: Simplify 1 into 1 1554304309.648 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.649 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.649 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.649 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k 1554304309.649 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554304309.649 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554304309.649 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554304309.649 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304309.649 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.649 * [misc]backup-simplify: Simplify 2 into 2 1554304309.649 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.650 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.650 * [misc]taylor: Taking taylor expansion of n in k 1554304309.650 * [misc]backup-simplify: Simplify n into n 1554304309.650 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.650 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.650 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.650 * [misc]taylor: Taking taylor expansion of k in k 1554304309.650 * [misc]backup-simplify: Simplify 0 into 0 1554304309.650 * [misc]backup-simplify: Simplify 1 into 1 1554304309.650 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554304309.650 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.650 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.651 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.651 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554304309.651 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554304309.651 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554304309.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554304309.651 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554304309.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554304309.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.651 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554304309.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.651 * [misc]taylor: Taking taylor expansion of k in k 1554304309.651 * [misc]backup-simplify: Simplify 0 into 0 1554304309.651 * [misc]backup-simplify: Simplify 1 into 1 1554304309.651 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.651 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.651 * [misc]backup-simplify: Simplify PI into PI 1554304309.652 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.652 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554304309.652 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.652 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.653 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.653 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554304309.654 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) 1554304309.654 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0 1554304309.654 * [misc]backup-simplify: Simplify 0 into 0 1554304309.657 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304309.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304309.657 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.658 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0 1554304309.659 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.662 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554304309.662 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.663 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.663 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554304309.664 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.665 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0 1554304309.665 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1554304309.665 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.665 * [misc]backup-simplify: Simplify 0 into 0 1554304309.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304309.668 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304309.668 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.669 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554304309.673 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554304309.673 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554304309.673 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.675 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.676 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554304309.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.677 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554304309.678 * [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))))) 1554304309.680 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) 1554304309.683 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) 1554304309.684 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) 1554304309.684 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.685 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1554304309.689 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304309.689 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304309.690 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.691 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554304309.693 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304309.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304309.697 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554304309.698 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.699 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.699 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554304309.701 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304309.701 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0 1554304309.702 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1554304309.702 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.702 * [misc]backup-simplify: Simplify 0 into 0 1554304309.702 * [misc]backup-simplify: Simplify 0 into 0 1554304309.704 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304309.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.705 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554304309.708 * [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))) 1554304309.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554304309.708 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.708 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.711 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.712 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554304309.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.712 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554304309.713 * [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))))) 1554304309.716 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (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 PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI)))))))) 1554304309.716 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554304309.717 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304309.722 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) 1554304309.724 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) 1554304309.724 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.725 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1554304309.729 * [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 1554304309.729 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554304309.729 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.730 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304309.732 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304309.733 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1554304309.736 * [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 1554304309.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554304309.737 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554304309.737 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1554304309.739 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304309.740 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0 1554304309.740 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1554304309.740 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.740 * [misc]backup-simplify: Simplify 0 into 0 1554304309.740 * [misc]backup-simplify: Simplify 0 into 0 1554304309.740 * [misc]backup-simplify: Simplify 0 into 0 1554304309.745 * [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 1554304309.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304309.745 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304309.750 * [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))) 1554304309.750 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554304309.750 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.754 * [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 1554304309.756 * [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 1554304309.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.756 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1554304309.758 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1554304309.765 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (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))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))))))))))))) 1554304309.766 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.766 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304309.782 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) 1554304309.790 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) 1554304309.802 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))) 1554304309.802 * [misc]backup-simplify: Simplify (/ (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) (/ 1 (pow PI (- 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)) 1554304309.802 * [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 (n k) around 0 1554304309.802 * [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 1554304309.802 * [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 1554304309.802 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.802 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304309.802 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304309.802 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.802 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.803 * [misc]taylor: Taking taylor expansion of k in k 1554304309.803 * [misc]backup-simplify: Simplify 0 into 0 1554304309.803 * [misc]backup-simplify: Simplify 1 into 1 1554304309.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.803 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.803 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.803 * [misc]backup-simplify: Simplify PI into PI 1554304309.803 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.803 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.803 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.803 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.804 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304309.804 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.804 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of k in k 1554304309.804 * [misc]backup-simplify: Simplify 0 into 0 1554304309.804 * [misc]backup-simplify: Simplify 1 into 1 1554304309.804 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.804 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554304309.804 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.804 * [misc]backup-simplify: Simplify 2 into 2 1554304309.804 * [misc]taylor: Taking taylor expansion of n in k 1554304309.804 * [misc]backup-simplify: Simplify n into n 1554304309.804 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554304309.804 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554304309.805 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.805 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.805 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.805 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554304309.805 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.805 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304309.805 * [misc]taylor: Taking taylor expansion of k in k 1554304309.805 * [misc]backup-simplify: Simplify 0 into 0 1554304309.805 * [misc]backup-simplify: Simplify 1 into 1 1554304309.805 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.805 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.805 * [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 1554304309.805 * [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 1554304309.805 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.805 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1554304309.805 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1554304309.805 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.806 * [misc]taylor: Taking taylor expansion of k in n 1554304309.806 * [misc]backup-simplify: Simplify k into k 1554304309.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.806 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304309.806 * [misc]taylor: Taking taylor expansion of PI in n 1554304309.806 * [misc]backup-simplify: Simplify PI into PI 1554304309.806 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.806 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.806 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.806 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.806 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1554304309.806 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.806 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304309.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304309.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.807 * [misc]taylor: Taking taylor expansion of k in n 1554304309.807 * [misc]backup-simplify: Simplify k into k 1554304309.807 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.807 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304309.807 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304309.807 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.807 * [misc]backup-simplify: Simplify 2 into 2 1554304309.807 * [misc]taylor: Taking taylor expansion of n in n 1554304309.807 * [misc]backup-simplify: Simplify 0 into 0 1554304309.807 * [misc]backup-simplify: Simplify 1 into 1 1554304309.807 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304309.807 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.807 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.807 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.807 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.808 * [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))) 1554304309.808 * [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)))) 1554304309.808 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of k in n 1554304309.808 * [misc]backup-simplify: Simplify k into k 1554304309.808 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304309.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304309.808 * [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 1554304309.808 * [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 1554304309.808 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of k in n 1554304309.808 * [misc]backup-simplify: Simplify k into k 1554304309.808 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.808 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304309.808 * [misc]taylor: Taking taylor expansion of PI in n 1554304309.808 * [misc]backup-simplify: Simplify PI into PI 1554304309.808 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.808 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.809 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.809 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.809 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1554304309.809 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.809 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of k in n 1554304309.809 * [misc]backup-simplify: Simplify k into k 1554304309.809 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.809 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554304309.809 * [misc]taylor: Taking taylor expansion of 2 in n 1554304309.809 * [misc]backup-simplify: Simplify 2 into 2 1554304309.809 * [misc]taylor: Taking taylor expansion of n in n 1554304309.809 * [misc]backup-simplify: Simplify 0 into 0 1554304309.809 * [misc]backup-simplify: Simplify 1 into 1 1554304309.810 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554304309.810 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.810 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.810 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554304309.810 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554304309.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.810 * [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))) 1554304309.811 * [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)))) 1554304309.811 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554304309.811 * [misc]taylor: Taking taylor expansion of k in n 1554304309.811 * [misc]backup-simplify: Simplify k into k 1554304309.811 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554304309.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554304309.811 * [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))))) 1554304309.811 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554304309.811 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k 1554304309.811 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554304309.811 * [misc]taylor: Taking taylor expansion of k in k 1554304309.812 * [misc]backup-simplify: Simplify 0 into 0 1554304309.812 * [misc]backup-simplify: Simplify 1 into 1 1554304309.812 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.812 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554304309.812 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of k in k 1554304309.812 * [misc]backup-simplify: Simplify 0 into 0 1554304309.812 * [misc]backup-simplify: Simplify 1 into 1 1554304309.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.812 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.812 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.812 * [misc]backup-simplify: Simplify PI into PI 1554304309.812 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.813 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.813 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.813 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.813 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554304309.813 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554304309.813 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554304309.813 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554304309.813 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554304309.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.813 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.813 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.813 * [misc]taylor: Taking taylor expansion of k in k 1554304309.814 * [misc]backup-simplify: Simplify 0 into 0 1554304309.814 * [misc]backup-simplify: Simplify 1 into 1 1554304309.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.814 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554304309.814 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554304309.814 * [misc]taylor: Taking taylor expansion of 2 in k 1554304309.814 * [misc]backup-simplify: Simplify 2 into 2 1554304309.814 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554304309.814 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.814 * [misc]taylor: Taking taylor expansion of n in k 1554304309.814 * [misc]backup-simplify: Simplify n into n 1554304309.814 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.814 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.814 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554304309.814 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554304309.814 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304309.814 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554304309.814 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554304309.815 * [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)))) 1554304309.815 * [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))))) 1554304309.815 * [misc]backup-simplify: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1554304309.815 * [misc]backup-simplify: Simplify 0 into 0 1554304309.815 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554304309.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554304309.817 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.817 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.817 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.818 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554304309.818 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.820 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304309.820 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.820 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.821 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1554304309.821 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.822 * [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 1554304309.822 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0 1554304309.822 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.822 * [misc]backup-simplify: Simplify 0 into 0 1554304309.822 * [misc]backup-simplify: Simplify 0 into 0 1554304309.822 * [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 1554304309.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +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))))))) 1554304309.823 * [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))))))) 1554304309.823 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1554304309.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.826 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554304309.826 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.827 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.827 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.827 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.827 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554304309.828 * [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 1554304309.831 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304309.831 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.832 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.832 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.832 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554304309.834 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304309.834 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554304309.834 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1554304309.834 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.834 * [misc]backup-simplify: Simplify 0 into 0 1554304309.834 * [misc]backup-simplify: Simplify 0 into 0 1554304309.834 * [misc]backup-simplify: Simplify 0 into 0 1554304309.835 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554304309.836 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304309.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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))))))) 1554304309.836 * [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))))))) 1554304309.837 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1554304309.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.841 * [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 1554304309.841 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304309.841 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554304309.843 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554304309.845 * [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 1554304309.849 * [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 1554304309.849 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.850 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554304309.850 * [misc]backup-simplify: Simplify (- 0) into 0 1554304309.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.851 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554304309.853 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554304309.853 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1554304309.854 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1554304309.854 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.854 * [misc]backup-simplify: Simplify 0 into 0 1554304309.854 * [misc]backup-simplify: Simplify 0 into 0 1554304309.854 * [misc]backup-simplify: Simplify 0 into 0 1554304309.854 * [misc]backup-simplify: Simplify 0 into 0 1554304309.855 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1554304309.855 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304309.856 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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))))))) 1554304309.856 * [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))))))) 1554304309.858 * [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 k) 1) 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 k) 1) 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 k) 1)))) 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)))))))) 1554304309.858 * [misc]backup-simplify: Simplify (/ (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) (/ 1 (pow PI (- 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))) 1554304309.858 * [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 (n k) around 0 1554304309.858 * [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 1554304309.858 * [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 1554304309.858 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.858 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554304309.858 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554304309.858 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.858 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.858 * [misc]taylor: Taking taylor expansion of k in k 1554304309.858 * [misc]backup-simplify: Simplify 0 into 0 1554304309.858 * [misc]backup-simplify: Simplify 1 into 1 1554304309.858 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.859 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of -2 in k 1554304309.859 * [misc]backup-simplify: Simplify -2 into -2 1554304309.859 * [misc]taylor: Taking taylor expansion of n in k 1554304309.859 * [misc]backup-simplify: Simplify n into n 1554304309.859 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554304309.859 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554304309.859 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.859 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.859 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554304309.859 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.859 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.859 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of k in k 1554304309.859 * [misc]backup-simplify: Simplify 0 into 0 1554304309.859 * [misc]backup-simplify: Simplify 1 into 1 1554304309.859 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.859 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.859 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.859 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.859 * [misc]backup-simplify: Simplify PI into PI 1554304309.860 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.860 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.860 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.860 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.860 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.860 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304309.861 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304309.861 * [misc]taylor: Taking taylor expansion of -1 in k 1554304309.861 * [misc]backup-simplify: Simplify -1 into -1 1554304309.861 * [misc]taylor: Taking taylor expansion of k in k 1554304309.861 * [misc]backup-simplify: Simplify 0 into 0 1554304309.861 * [misc]backup-simplify: Simplify 1 into 1 1554304309.861 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304309.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.861 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304309.861 * [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))) 1554304309.861 * [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)))) 1554304309.861 * [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 1554304309.861 * [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 1554304309.861 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.861 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304309.861 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304309.861 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.862 * [misc]taylor: Taking taylor expansion of k in n 1554304309.862 * [misc]backup-simplify: Simplify k into k 1554304309.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.862 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304309.862 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304309.862 * [misc]taylor: Taking taylor expansion of -2 in n 1554304309.862 * [misc]backup-simplify: Simplify -2 into -2 1554304309.862 * [misc]taylor: Taking taylor expansion of n in n 1554304309.862 * [misc]backup-simplify: Simplify 0 into 0 1554304309.862 * [misc]backup-simplify: Simplify 1 into 1 1554304309.862 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304309.862 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.862 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.862 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.862 * [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))) 1554304309.863 * [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)))) 1554304309.863 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of k in n 1554304309.863 * [misc]backup-simplify: Simplify k into k 1554304309.863 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.863 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304309.863 * [misc]taylor: Taking taylor expansion of PI in n 1554304309.863 * [misc]backup-simplify: Simplify PI into PI 1554304309.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.863 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.863 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.863 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1554304309.864 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304309.864 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304309.864 * [misc]taylor: Taking taylor expansion of -1 in n 1554304309.864 * [misc]backup-simplify: Simplify -1 into -1 1554304309.864 * [misc]taylor: Taking taylor expansion of k in n 1554304309.864 * [misc]backup-simplify: Simplify k into k 1554304309.864 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304309.864 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304309.864 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304309.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304309.864 * [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))) 1554304309.865 * [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))) 1554304309.865 * [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 1554304309.865 * [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 1554304309.865 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of k in n 1554304309.865 * [misc]backup-simplify: Simplify k into k 1554304309.865 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.865 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554304309.865 * [misc]taylor: Taking taylor expansion of -2 in n 1554304309.865 * [misc]backup-simplify: Simplify -2 into -2 1554304309.865 * [misc]taylor: Taking taylor expansion of n in n 1554304309.865 * [misc]backup-simplify: Simplify 0 into 0 1554304309.865 * [misc]backup-simplify: Simplify 1 into 1 1554304309.865 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554304309.865 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.865 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.865 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.866 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.866 * [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))) 1554304309.866 * [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)))) 1554304309.866 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of k in n 1554304309.866 * [misc]backup-simplify: Simplify k into k 1554304309.866 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554304309.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554304309.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.866 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554304309.866 * [misc]taylor: Taking taylor expansion of PI in n 1554304309.866 * [misc]backup-simplify: Simplify PI into PI 1554304309.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.866 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554304309.866 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554304309.867 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1554304309.867 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.867 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554304309.867 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554304309.867 * [misc]taylor: Taking taylor expansion of -1 in n 1554304309.867 * [misc]backup-simplify: Simplify -1 into -1 1554304309.867 * [misc]taylor: Taking taylor expansion of k in n 1554304309.867 * [misc]backup-simplify: Simplify k into k 1554304309.867 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554304309.867 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554304309.867 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554304309.867 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554304309.867 * [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))) 1554304309.868 * [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))) 1554304309.868 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of k in k 1554304309.868 * [misc]backup-simplify: Simplify 0 into 0 1554304309.868 * [misc]backup-simplify: Simplify 1 into 1 1554304309.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.868 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of -2 in k 1554304309.868 * [misc]backup-simplify: Simplify -2 into -2 1554304309.868 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554304309.868 * [misc]taylor: Taking taylor expansion of (log n) in k 1554304309.868 * [misc]taylor: Taking taylor expansion of n in k 1554304309.868 * [misc]backup-simplify: Simplify n into n 1554304309.868 * [misc]backup-simplify: Simplify (log n) into (log n) 1554304309.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.869 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.869 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554304309.869 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554304309.869 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554304309.869 * [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)))) 1554304309.869 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554304309.869 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554304309.869 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554304309.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554304309.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554304309.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554304309.869 * [misc]taylor: Taking taylor expansion of k in k 1554304309.869 * [misc]backup-simplify: Simplify 0 into 0 1554304309.869 * [misc]backup-simplify: Simplify 1 into 1 1554304309.869 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554304309.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554304309.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554304309.870 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554304309.870 * [misc]taylor: Taking taylor expansion of PI in k 1554304309.870 * [misc]backup-simplify: Simplify PI into PI 1554304309.870 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554304309.870 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554304309.870 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554304309.870 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554304309.870 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554304309.870 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554304309.870 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554304309.871 * [misc]taylor: Taking taylor expansion of -1 in k 1554304309.871 * [misc]backup-simplify: Simplify -1 into -1 1554304309.871 * [misc]taylor: Taking taylor expansion of k in k 1554304309.871 * [misc]backup-simplify: Simplify 0 into 0 1554304309.871 * [misc]backup-simplify: Simplify 1 into 1 1554304309.871 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554304309.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554304309.871 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554304309.871 * [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))) 1554304309.872 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1554304309.872 * [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)))) 1554304309.873 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554304309.873 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.874 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1554304309.875 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.875 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554304309.876 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554304309.876 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554304309.877 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554304309.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.877 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554304309.878 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554304309.878 * [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 1554304309.878 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1554304309.879 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.879 * [misc]backup-simplify: Simplify 0 into 0 1554304309.879 * [misc]backup-simplify: Simplify 0 into 0 1554304309.879 * [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 1554304309.879 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554304309.880 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554304309.880 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304309.881 * [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))))) 1554304309.883 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554304309.884 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.884 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554304309.886 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554304309.886 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.888 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554304309.888 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554304309.889 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554304309.889 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554304309.889 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554304309.890 * [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 1554304309.891 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1554304309.891 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554304309.891 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554304309.892 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1554304309.892 * [misc]taylor: Taking taylor expansion of 0 in k 1554304309.892 * [misc]backup-simplify: Simplify 0 into 0 1554304309.892 * [misc]backup-simplify: Simplify 0 into 0 1554304309.892 * [misc]backup-simplify: Simplify 0 into 0 1554304309.892 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1554304309.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554304309.893 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554304309.894 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1554304309.894 * [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))))) 1554304309.896 * [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 (- k)) 1) 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 (- k)) 1)) (* +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)))))))) 1554304309.896 * * * [misc]progress: simplifying candidates 1554304309.896 * * * * [misc]progress: [ 1 / 260 ] simplifiying candidate # 1554304309.896 * * * * [misc]progress: [ 2 / 260 ] simplifiying candidate # 1554304309.896 * * * * [misc]progress: [ 3 / 260 ] simplifiying candidate # 1554304309.896 * * * * [misc]progress: [ 4 / 260 ] simplifiying candidate # 1554304309.896 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554304309.896 * * [misc]simplify: iters left: 3 (5 enodes) 1554304309.898 * * [misc]simplify: iters left: 2 (15 enodes) 1554304309.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304309.900 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304309.900 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304309.900 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554304309.900 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554304309.900 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))))) 1554304309.900 * * * * [misc]progress: [ 5 / 260 ] simplifiying candidate # 1554304309.900 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554304309.900 * * [misc]simplify: iters left: 5 (6 enodes) 1554304309.902 * * [misc]simplify: iters left: 4 (20 enodes) 1554304309.905 * * [misc]simplify: iters left: 3 (25 enodes) 1554304309.909 * * [misc]simplify: iters left: 2 (27 enodes) 1554304309.917 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304309.917 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304309.917 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304309.917 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304309.917 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304309.917 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304309.918 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554304309.918 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554304309.918 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554304309.918 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1554304309.918 * * * * [misc]progress: [ 6 / 260 ] simplifiying candidate # 1554304309.919 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554304309.919 * * [misc]simplify: iters left: 5 (6 enodes) 1554304309.922 * * [misc]simplify: iters left: 4 (20 enodes) 1554304309.929 * * [misc]simplify: iters left: 3 (25 enodes) 1554304309.937 * * [misc]simplify: iters left: 2 (27 enodes) 1554304309.944 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304309.945 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304309.945 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304309.945 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304309.945 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304309.945 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304309.945 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554304309.946 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554304309.946 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554304309.946 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1554304309.946 * * * * [misc]progress: [ 7 / 260 ] simplifiying candidate # 1554304309.946 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554304309.946 * * [misc]simplify: iters left: 4 (5 enodes) 1554304309.949 * * [misc]simplify: iters left: 3 (17 enodes) 1554304309.958 * * [misc]simplify: iters left: 2 (22 enodes) 1554304309.964 * * [misc]simplify: iters left: 1 (24 enodes) 1554304309.971 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304309.971 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304309.972 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304309.972 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554304309.972 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554304309.972 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554304309.972 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))))) 1554304309.973 * * * * [misc]progress: [ 8 / 260 ] simplifiying candidate # 1554304309.973 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554304309.973 * * [misc]simplify: iters left: 5 (6 enodes) 1554304309.976 * * [misc]simplify: iters left: 4 (20 enodes) 1554304309.982 * * [misc]simplify: iters left: 3 (22 enodes) 1554304309.989 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304309.989 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304309.989 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304309.989 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304309.989 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554304309.989 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554304309.990 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554304309.990 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554304309.990 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (* (pow PI 1/2) (pow PI (- (/ k 2))))))) 1554304309.990 * * * * [misc]progress: [ 9 / 260 ] simplifiying candidate # 1554304309.990 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554304309.990 * * [misc]simplify: iters left: 5 (6 enodes) 1554304309.994 * * [misc]simplify: iters left: 4 (20 enodes) 1554304310.000 * * [misc]simplify: iters left: 3 (22 enodes) 1554304310.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.007 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304310.007 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304310.007 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304310.007 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554304310.007 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554304310.007 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554304310.008 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554304310.008 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (* (pow PI 1/2) (pow PI (- (/ k 2))))))) 1554304310.008 * * * * [misc]progress: [ 10 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 11 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 12 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 13 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 14 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 15 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 16 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 17 / 260 ] simplifiying candidate #real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))> 1554304310.008 * * * * [misc]progress: [ 18 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 19 / 260 ] simplifiying candidate # 1554304310.008 * * * * [misc]progress: [ 20 / 260 ] simplifiying candidate # 1554304310.009 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1554304310.009 * * [misc]simplify: iters left: 6 (9 enodes) 1554304310.014 * * [misc]simplify: iters left: 5 (34 enodes) 1554304310.025 * * [misc]simplify: iters left: 4 (56 enodes) 1554304310.045 * * [misc]simplify: iters left: 3 (114 enodes) 1554304310.073 * * [misc]simplify: iters left: 2 (261 enodes) 1554304310.139 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.139 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304310.139 * * [misc]simplify: Extracting #2: cost 97 inf + 1 1554304310.140 * * [misc]simplify: Extracting #3: cost 93 inf + 1086 1554304310.142 * * [misc]simplify: Extracting #4: cost 44 inf + 8830 1554304310.149 * * [misc]simplify: Extracting #5: cost 3 inf + 19869 1554304310.155 * * [misc]simplify: Extracting #6: cost 0 inf + 20980 1554304310.161 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1554304310.161 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.161 * * * * [misc]progress: [ 21 / 260 ] simplifiying candidate # 1554304310.162 * * * * [misc]progress: [ 22 / 260 ] simplifiying candidate # 1554304310.162 * [enter]simplify: Simplifying (* n 2) 1554304310.162 * * [misc]simplify: iters left: 2 (3 enodes) 1554304310.164 * * [misc]simplify: iters left: 1 (10 enodes) 1554304310.167 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.167 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304310.167 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1554304310.167 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1554304310.167 * [exit]simplify: Simplified to (* n 2) 1554304310.168 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.168 * * * * [misc]progress: [ 23 / 260 ] simplifiying candidate # 1554304310.168 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1554304310.168 * * [misc]simplify: iters left: 3 (6 enodes) 1554304310.171 * * [misc]simplify: iters left: 2 (19 enodes) 1554304310.177 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.177 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304310.177 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304310.177 * * [misc]simplify: Extracting #3: cost 4 inf + 87 1554304310.177 * * [misc]simplify: Extracting #4: cost 0 inf + 757 1554304310.177 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1554304310.177 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.177 * * * * [misc]progress: [ 24 / 260 ] simplifiying candidate # 1554304310.178 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554304310.178 * * [misc]simplify: iters left: 5 (6 enodes) 1554304310.181 * * [misc]simplify: iters left: 4 (20 enodes) 1554304310.188 * * [misc]simplify: iters left: 3 (25 enodes) 1554304310.195 * * [misc]simplify: iters left: 2 (27 enodes) 1554304310.203 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.203 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304310.203 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304310.203 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304310.203 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304310.204 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304310.204 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554304310.204 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554304310.205 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554304310.205 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.205 * * * * [misc]progress: [ 25 / 260 ] simplifiying candidate # 1554304310.205 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554304310.205 * * [misc]simplify: iters left: 5 (6 enodes) 1554304310.209 * * [misc]simplify: iters left: 4 (20 enodes) 1554304310.215 * * [misc]simplify: iters left: 3 (25 enodes) 1554304310.222 * * [misc]simplify: iters left: 2 (27 enodes) 1554304310.226 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.226 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304310.226 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554304310.226 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304310.226 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554304310.226 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554304310.226 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554304310.227 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554304310.227 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554304310.227 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.227 * * * * [misc]progress: [ 26 / 260 ] simplifiying candidate # 1554304310.227 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554304310.227 * * [misc]simplify: iters left: 4 (5 enodes) 1554304310.229 * * [misc]simplify: iters left: 3 (17 enodes) 1554304310.232 * * [misc]simplify: iters left: 2 (22 enodes) 1554304310.235 * * [misc]simplify: iters left: 1 (24 enodes) 1554304310.239 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.239 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304310.239 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304310.239 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554304310.239 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554304310.239 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554304310.239 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.239 * * * * [misc]progress: [ 27 / 260 ] simplifiying candidate # 1554304310.240 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554304310.240 * * [misc]simplify: iters left: 5 (7 enodes) 1554304310.241 * * [misc]simplify: iters left: 4 (24 enodes) 1554304310.245 * * [misc]simplify: iters left: 3 (26 enodes) 1554304310.249 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.249 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304310.249 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304310.249 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304310.249 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554304310.249 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554304310.249 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554304310.250 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554304310.250 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554304310.250 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.250 * * * * [misc]progress: [ 28 / 260 ] simplifiying candidate # 1554304310.250 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554304310.250 * * [misc]simplify: iters left: 5 (7 enodes) 1554304310.252 * * [misc]simplify: iters left: 4 (24 enodes) 1554304310.257 * * [misc]simplify: iters left: 3 (26 enodes) 1554304310.261 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.261 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304310.261 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554304310.261 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304310.261 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554304310.261 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554304310.261 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554304310.262 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554304310.262 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554304310.262 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.262 * * * * [misc]progress: [ 29 / 260 ] simplifiying candidate # 1554304310.262 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554304310.262 * * [misc]simplify: iters left: 5 (7 enodes) 1554304310.264 * * [misc]simplify: iters left: 4 (23 enodes) 1554304310.268 * * [misc]simplify: iters left: 3 (28 enodes) 1554304310.272 * * [misc]simplify: iters left: 2 (30 enodes) 1554304310.276 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.276 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304310.276 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304310.277 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304310.277 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304310.277 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304310.277 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304310.277 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304310.277 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304310.277 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.277 * * * * [misc]progress: [ 30 / 260 ] simplifiying candidate # 1554304310.277 * * * * [misc]progress: [ 31 / 260 ] simplifiying candidate # 1554304310.277 * * * * [misc]progress: [ 32 / 260 ] simplifiying candidate # 1554304310.277 * * * * [misc]progress: [ 33 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 34 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 35 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 36 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 37 / 260 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))> 1554304310.278 * * * * [misc]progress: [ 38 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 39 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 40 / 260 ] simplifiying candidate # 1554304310.278 * * * * [misc]progress: [ 41 / 260 ] simplifiying candidate # 1554304310.278 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304310.278 * * [misc]simplify: iters left: 6 (12 enodes) 1554304310.281 * * [misc]simplify: iters left: 5 (46 enodes) 1554304310.289 * * [misc]simplify: iters left: 4 (72 enodes) 1554304310.302 * * [misc]simplify: iters left: 3 (154 enodes) 1554304310.343 * * [misc]simplify: iters left: 2 (416 enodes) 1554304310.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.490 * * [misc]simplify: Extracting #1: cost 79 inf + 0 1554304310.492 * * [misc]simplify: Extracting #2: cost 202 inf + 1 1554304310.495 * * [misc]simplify: Extracting #3: cost 178 inf + 4635 1554304310.513 * * [misc]simplify: Extracting #4: cost 29 inf + 48969 1554304310.542 * * [misc]simplify: Extracting #5: cost 0 inf + 60254 1554304310.571 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304310.571 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.572 * * * * [misc]progress: [ 42 / 260 ] simplifiying candidate # 1554304310.572 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304310.572 * * [misc]simplify: iters left: 6 (12 enodes) 1554304310.579 * * [misc]simplify: iters left: 5 (46 enodes) 1554304310.590 * * [misc]simplify: iters left: 4 (72 enodes) 1554304310.603 * * [misc]simplify: iters left: 3 (154 enodes) 1554304310.648 * * [misc]simplify: iters left: 2 (416 enodes) 1554304310.847 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304310.848 * * [misc]simplify: Extracting #1: cost 79 inf + 0 1554304310.850 * * [misc]simplify: Extracting #2: cost 202 inf + 1 1554304310.853 * * [misc]simplify: Extracting #3: cost 178 inf + 4635 1554304310.877 * * [misc]simplify: Extracting #4: cost 29 inf + 48969 1554304310.896 * * [misc]simplify: Extracting #5: cost 0 inf + 60254 1554304310.912 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304310.913 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304310.913 * * * * [misc]progress: [ 43 / 260 ] simplifiying candidate # 1554304310.913 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554304310.913 * * [misc]simplify: iters left: 6 (12 enodes) 1554304310.916 * * [misc]simplify: iters left: 5 (43 enodes) 1554304310.923 * * [misc]simplify: iters left: 4 (59 enodes) 1554304310.932 * * [misc]simplify: iters left: 3 (82 enodes) 1554304310.950 * * [misc]simplify: iters left: 2 (186 enodes) 1554304311.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.015 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1554304311.015 * * [misc]simplify: Extracting #2: cost 115 inf + 1 1554304311.016 * * [misc]simplify: Extracting #3: cost 118 inf + 116 1554304311.016 * * [misc]simplify: Extracting #4: cost 99 inf + 2441 1554304311.020 * * [misc]simplify: Extracting #5: cost 29 inf + 21259 1554304311.029 * * [misc]simplify: Extracting #6: cost 3 inf + 30728 1554304311.036 * * [misc]simplify: Extracting #7: cost 0 inf + 32119 1554304311.042 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554304311.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.042 * * * * [misc]progress: [ 44 / 260 ] simplifiying candidate # 1554304311.042 * * * * [misc]progress: [ 45 / 260 ] simplifiying candidate # 1554304311.042 * * * * [misc]progress: [ 46 / 260 ] simplifiying candidate # 1554304311.043 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1554304311.043 * * [misc]simplify: iters left: 6 (14 enodes) 1554304311.046 * * [misc]simplify: iters left: 5 (52 enodes) 1554304311.055 * * [misc]simplify: iters left: 4 (97 enodes) 1554304311.071 * * [misc]simplify: iters left: 3 (167 enodes) 1554304311.125 * * [misc]simplify: iters left: 2 (205 enodes) 1554304311.188 * * [misc]simplify: iters left: 1 (225 enodes) 1554304311.232 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.233 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1554304311.233 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1554304311.233 * * [misc]simplify: Extracting #3: cost 49 inf + 246 1554304311.233 * * [misc]simplify: Extracting #4: cost 49 inf + 249 1554304311.234 * * [misc]simplify: Extracting #5: cost 35 inf + 4067 1554304311.239 * * [misc]simplify: Extracting #6: cost 8 inf + 14557 1554304311.245 * * [misc]simplify: Extracting #7: cost 0 inf + 18149 1554304311.251 * [exit]simplify: Simplified to (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) k)) 1554304311.251 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.251 * * * * [misc]progress: [ 47 / 260 ] simplifiying candidate # 1554304311.252 * * * * [misc]progress: [ 48 / 260 ] simplifiying candidate # 1554304311.252 * * * * [misc]progress: [ 49 / 260 ] simplifiying candidate # 1554304311.252 * * * * [misc]progress: [ 50 / 260 ] simplifiying candidate # 1554304311.252 * * * * [misc]progress: [ 51 / 260 ] simplifiying candidate # 1554304311.252 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.252 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.257 * * [misc]simplify: iters left: 5 (34 enodes) 1554304311.267 * * [misc]simplify: iters left: 4 (36 enodes) 1554304311.277 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.277 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304311.277 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304311.277 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304311.278 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304311.278 * * [misc]simplify: Extracting #5: cost 9 inf + 291 1554304311.278 * * [misc]simplify: Extracting #6: cost 3 inf + 1342 1554304311.279 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 1554304311.279 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.279 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.280 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1554304311.280 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.285 * * [misc]simplify: iters left: 5 (33 enodes) 1554304311.293 * * [misc]simplify: iters left: 4 (35 enodes) 1554304311.305 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.305 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.305 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.305 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304311.305 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304311.305 * * [misc]simplify: Extracting #5: cost 5 inf + 659 1554304311.306 * * [misc]simplify: Extracting #6: cost 0 inf + 2393 1554304311.306 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1554304311.306 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.307 * * * * [misc]progress: [ 52 / 260 ] simplifiying candidate # 1554304311.307 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1554304311.307 * * [misc]simplify: iters left: 5 (9 enodes) 1554304311.312 * * [misc]simplify: iters left: 4 (29 enodes) 1554304311.320 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.320 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.320 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.320 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304311.320 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1554304311.320 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1554304311.320 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1554304311.321 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304311.321 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.321 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1554304311.321 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.326 * * [misc]simplify: iters left: 5 (33 enodes) 1554304311.335 * * [misc]simplify: iters left: 4 (35 enodes) 1554304311.344 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.345 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.345 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.345 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304311.345 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304311.345 * * [misc]simplify: Extracting #5: cost 5 inf + 579 1554304311.346 * * [misc]simplify: Extracting #6: cost 0 inf + 2233 1554304311.346 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1554304311.346 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.346 * * * * [misc]progress: [ 53 / 260 ] simplifiying candidate # 1554304311.347 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554304311.347 * * [misc]simplify: iters left: 5 (7 enodes) 1554304311.351 * * [misc]simplify: iters left: 4 (23 enodes) 1554304311.358 * * [misc]simplify: iters left: 3 (27 enodes) 1554304311.369 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.369 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304311.369 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304311.369 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304311.369 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304311.369 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304311.370 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304311.370 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.370 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1554304311.370 * * [misc]simplify: iters left: 6 (9 enodes) 1554304311.374 * * [misc]simplify: iters left: 5 (30 enodes) 1554304311.382 * * [misc]simplify: iters left: 4 (32 enodes) 1554304311.386 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.386 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.386 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.386 * * [misc]simplify: Extracting #3: cost 12 inf + 83 1554304311.386 * * [misc]simplify: Extracting #4: cost 11 inf + 126 1554304311.386 * * [misc]simplify: Extracting #5: cost 6 inf + 375 1554304311.387 * * [misc]simplify: Extracting #6: cost 1 inf + 1658 1554304311.387 * * [misc]simplify: Extracting #7: cost 0 inf + 1991 1554304311.387 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1554304311.387 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.387 * * * * [misc]progress: [ 54 / 260 ] simplifiying candidate # 1554304311.388 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.388 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.390 * * [misc]simplify: iters left: 5 (34 enodes) 1554304311.395 * * [misc]simplify: iters left: 4 (36 enodes) 1554304311.401 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.401 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304311.401 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304311.401 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304311.401 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304311.401 * * [misc]simplify: Extracting #5: cost 9 inf + 291 1554304311.401 * * [misc]simplify: Extracting #6: cost 3 inf + 1342 1554304311.401 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 1554304311.402 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.402 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.402 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1554304311.402 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.404 * * [misc]simplify: iters left: 5 (33 enodes) 1554304311.409 * * [misc]simplify: iters left: 4 (35 enodes) 1554304311.415 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.415 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.415 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.415 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304311.415 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304311.416 * * [misc]simplify: Extracting #5: cost 5 inf + 659 1554304311.416 * * [misc]simplify: Extracting #6: cost 0 inf + 2393 1554304311.417 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1554304311.417 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.417 * * * * [misc]progress: [ 55 / 260 ] simplifiying candidate # 1554304311.417 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1554304311.417 * * [misc]simplify: iters left: 5 (9 enodes) 1554304311.422 * * [misc]simplify: iters left: 4 (29 enodes) 1554304311.430 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.430 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.430 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.431 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304311.431 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1554304311.431 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1554304311.431 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1554304311.431 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304311.432 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.432 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1554304311.432 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.437 * * [misc]simplify: iters left: 5 (33 enodes) 1554304311.444 * * [misc]simplify: iters left: 4 (35 enodes) 1554304311.450 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.450 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.450 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.450 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304311.450 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304311.450 * * [misc]simplify: Extracting #5: cost 5 inf + 579 1554304311.451 * * [misc]simplify: Extracting #6: cost 0 inf + 2233 1554304311.451 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1554304311.451 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.451 * * * * [misc]progress: [ 56 / 260 ] simplifiying candidate # 1554304311.451 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554304311.451 * * [misc]simplify: iters left: 5 (7 enodes) 1554304311.454 * * [misc]simplify: iters left: 4 (23 enodes) 1554304311.458 * * [misc]simplify: iters left: 3 (27 enodes) 1554304311.462 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.462 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304311.462 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304311.462 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304311.462 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304311.462 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304311.462 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304311.462 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.462 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1554304311.462 * * [misc]simplify: iters left: 6 (9 enodes) 1554304311.465 * * [misc]simplify: iters left: 5 (30 enodes) 1554304311.471 * * [misc]simplify: iters left: 4 (32 enodes) 1554304311.475 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.475 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.476 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.476 * * [misc]simplify: Extracting #3: cost 12 inf + 83 1554304311.476 * * [misc]simplify: Extracting #4: cost 11 inf + 126 1554304311.476 * * [misc]simplify: Extracting #5: cost 6 inf + 375 1554304311.476 * * [misc]simplify: Extracting #6: cost 1 inf + 1658 1554304311.476 * * [misc]simplify: Extracting #7: cost 0 inf + 1991 1554304311.476 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1554304311.476 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.477 * * * * [misc]progress: [ 57 / 260 ] simplifiying candidate # 1554304311.477 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.477 * * [misc]simplify: iters left: 6 (11 enodes) 1554304311.480 * * [misc]simplify: iters left: 5 (37 enodes) 1554304311.485 * * [misc]simplify: iters left: 4 (44 enodes) 1554304311.492 * * [misc]simplify: iters left: 3 (46 enodes) 1554304311.503 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.503 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304311.503 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304311.504 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304311.504 * * [misc]simplify: Extracting #4: cost 19 inf + 44 1554304311.504 * * [misc]simplify: Extracting #5: cost 13 inf + 612 1554304311.504 * * [misc]simplify: Extracting #6: cost 7 inf + 1063 1554304311.505 * * [misc]simplify: Extracting #7: cost 0 inf + 3630 1554304311.506 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.506 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.506 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304311.506 * * [misc]simplify: iters left: 6 (9 enodes) 1554304311.511 * * [misc]simplify: iters left: 5 (29 enodes) 1554304311.520 * * [misc]simplify: iters left: 4 (34 enodes) 1554304311.530 * * [misc]simplify: iters left: 3 (36 enodes) 1554304311.541 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.541 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.541 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.541 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304311.541 * * [misc]simplify: Extracting #4: cost 11 inf + 289 1554304311.541 * * [misc]simplify: Extracting #5: cost 5 inf + 992 1554304311.542 * * [misc]simplify: Extracting #6: cost 0 inf + 2315 1554304311.542 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304311.542 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.543 * * * * [misc]progress: [ 58 / 260 ] simplifiying candidate # 1554304311.543 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304311.543 * * [misc]simplify: iters left: 6 (10 enodes) 1554304311.548 * * [misc]simplify: iters left: 5 (32 enodes) 1554304311.557 * * [misc]simplify: iters left: 4 (37 enodes) 1554304311.563 * * [misc]simplify: iters left: 3 (39 enodes) 1554304311.569 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.569 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.569 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.569 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304311.569 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304311.569 * * [misc]simplify: Extracting #5: cost 11 inf + 289 1554304311.569 * * [misc]simplify: Extracting #6: cost 6 inf + 579 1554304311.569 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304311.570 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304311.570 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.570 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304311.570 * * [misc]simplify: iters left: 6 (9 enodes) 1554304311.572 * * [misc]simplify: iters left: 5 (29 enodes) 1554304311.577 * * [misc]simplify: iters left: 4 (34 enodes) 1554304311.585 * * [misc]simplify: iters left: 3 (36 enodes) 1554304311.591 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.592 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.592 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.592 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304311.592 * * [misc]simplify: Extracting #4: cost 11 inf + 249 1554304311.592 * * [misc]simplify: Extracting #5: cost 5 inf + 912 1554304311.593 * * [misc]simplify: Extracting #6: cost 0 inf + 2155 1554304311.593 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304311.593 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.594 * * * * [misc]progress: [ 59 / 260 ] simplifiying candidate # 1554304311.594 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554304311.594 * * [misc]simplify: iters left: 6 (9 enodes) 1554304311.599 * * [misc]simplify: iters left: 5 (29 enodes) 1554304311.609 * * [misc]simplify: iters left: 4 (36 enodes) 1554304311.620 * * [misc]simplify: iters left: 3 (38 enodes) 1554304311.631 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.631 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304311.631 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554304311.631 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554304311.631 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554304311.631 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554304311.632 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554304311.632 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304311.632 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.632 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1554304311.632 * * [misc]simplify: iters left: 6 (8 enodes) 1554304311.637 * * [misc]simplify: iters left: 5 (26 enodes) 1554304311.645 * * [misc]simplify: iters left: 4 (31 enodes) 1554304311.652 * * [misc]simplify: iters left: 3 (33 enodes) 1554304311.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.656 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.656 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304311.656 * * [misc]simplify: Extracting #3: cost 10 inf + 43 1554304311.657 * * [misc]simplify: Extracting #4: cost 10 inf + 127 1554304311.657 * * [misc]simplify: Extracting #5: cost 3 inf + 1206 1554304311.657 * * [misc]simplify: Extracting #6: cost 0 inf + 1913 1554304311.657 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1554304311.657 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.657 * * * * [misc]progress: [ 60 / 260 ] simplifiying candidate # 1554304311.658 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.658 * * [misc]simplify: iters left: 6 (14 enodes) 1554304311.661 * * [misc]simplify: iters left: 5 (51 enodes) 1554304311.673 * * [misc]simplify: iters left: 4 (71 enodes) 1554304311.694 * * [misc]simplify: iters left: 3 (80 enodes) 1554304311.707 * * [misc]simplify: iters left: 2 (83 enodes) 1554304311.717 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.718 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304311.718 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304311.718 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554304311.718 * * [misc]simplify: Extracting #4: cost 33 inf + 1 1554304311.718 * * [misc]simplify: Extracting #5: cost 27 inf + 571 1554304311.718 * * [misc]simplify: Extracting #6: cost 14 inf + 3951 1554304311.719 * * [misc]simplify: Extracting #7: cost 3 inf + 9080 1554304311.721 * * [misc]simplify: Extracting #8: cost 0 inf + 10842 1554304311.722 * [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)))) 1554304311.722 * [misc]simplify: Simplified (2 1 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)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.722 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304311.722 * * [misc]simplify: iters left: 6 (12 enodes) 1554304311.725 * * [misc]simplify: iters left: 5 (39 enodes) 1554304311.731 * * [misc]simplify: iters left: 4 (44 enodes) 1554304311.737 * * [misc]simplify: iters left: 3 (46 enodes) 1554304311.745 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.746 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.746 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304311.746 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304311.746 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1554304311.746 * * [misc]simplify: Extracting #5: cost 14 inf + 370 1554304311.746 * * [misc]simplify: Extracting #6: cost 6 inf + 1453 1554304311.747 * * [misc]simplify: Extracting #7: cost 2 inf + 2404 1554304311.748 * * [misc]simplify: Extracting #8: cost 0 inf + 3552 1554304311.749 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304311.749 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.749 * * * * [misc]progress: [ 61 / 260 ] simplifiying candidate # 1554304311.749 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554304311.749 * * [misc]simplify: iters left: 6 (13 enodes) 1554304311.756 * * [misc]simplify: iters left: 5 (44 enodes) 1554304311.769 * * [misc]simplify: iters left: 4 (53 enodes) 1554304311.782 * * [misc]simplify: iters left: 3 (58 enodes) 1554304311.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.799 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304311.799 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304311.799 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304311.799 * * [misc]simplify: Extracting #4: cost 23 inf + 123 1554304311.799 * * [misc]simplify: Extracting #5: cost 20 inf + 290 1554304311.800 * * [misc]simplify: Extracting #6: cost 8 inf + 3309 1554304311.801 * * [misc]simplify: Extracting #7: cost 1 inf + 5942 1554304311.802 * * [misc]simplify: Extracting #8: cost 0 inf + 6516 1554304311.804 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554304311.804 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.804 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304311.804 * * [misc]simplify: iters left: 6 (12 enodes) 1554304311.810 * * [misc]simplify: iters left: 5 (39 enodes) 1554304311.819 * * [misc]simplify: iters left: 4 (44 enodes) 1554304311.826 * * [misc]simplify: iters left: 3 (46 enodes) 1554304311.832 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.832 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.832 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304311.832 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304311.832 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1554304311.832 * * [misc]simplify: Extracting #5: cost 14 inf + 290 1554304311.832 * * [misc]simplify: Extracting #6: cost 6 inf + 1373 1554304311.833 * * [misc]simplify: Extracting #7: cost 2 inf + 2324 1554304311.833 * * [misc]simplify: Extracting #8: cost 0 inf + 3392 1554304311.834 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304311.834 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.834 * * * * [misc]progress: [ 62 / 260 ] simplifiying candidate # 1554304311.834 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554304311.834 * * [misc]simplify: iters left: 6 (12 enodes) 1554304311.837 * * [misc]simplify: iters left: 5 (41 enodes) 1554304311.846 * * [misc]simplify: iters left: 4 (56 enodes) 1554304311.862 * * [misc]simplify: iters left: 3 (59 enodes) 1554304311.878 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.878 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304311.878 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304311.879 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304311.879 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304311.879 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554304311.879 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554304311.879 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554304311.880 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554304311.881 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554304311.882 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304311.882 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.883 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554304311.883 * * [misc]simplify: iters left: 6 (11 enodes) 1554304311.888 * * [misc]simplify: iters left: 5 (36 enodes) 1554304311.899 * * [misc]simplify: iters left: 4 (41 enodes) 1554304311.911 * * [misc]simplify: iters left: 3 (43 enodes) 1554304311.923 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.923 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304311.923 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304311.923 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1554304311.923 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1554304311.923 * * [misc]simplify: Extracting #5: cost 13 inf + 210 1554304311.923 * * [misc]simplify: Extracting #6: cost 6 inf + 959 1554304311.924 * * [misc]simplify: Extracting #7: cost 0 inf + 3150 1554304311.924 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554304311.924 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.925 * * * * [misc]progress: [ 63 / 260 ] simplifiying candidate # 1554304311.925 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.925 * * [misc]simplify: iters left: 6 (13 enodes) 1554304311.931 * * [misc]simplify: iters left: 5 (44 enodes) 1554304311.943 * * [misc]simplify: iters left: 4 (51 enodes) 1554304311.959 * * [misc]simplify: iters left: 3 (53 enodes) 1554304311.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304311.973 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304311.973 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304311.973 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304311.973 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304311.974 * * [misc]simplify: Extracting #5: cost 16 inf + 692 1554304311.974 * * [misc]simplify: Extracting #6: cost 4 inf + 3339 1554304311.975 * * [misc]simplify: Extracting #7: cost 0 inf + 4862 1554304311.976 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304311.976 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304311.977 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304311.977 * * [misc]simplify: iters left: 6 (12 enodes) 1554304311.983 * * [misc]simplify: iters left: 5 (39 enodes) 1554304311.995 * * [misc]simplify: iters left: 4 (44 enodes) 1554304312.007 * * [misc]simplify: iters left: 3 (46 enodes) 1554304312.021 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.021 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.021 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304312.021 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304312.021 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1554304312.021 * * [misc]simplify: Extracting #5: cost 14 inf + 370 1554304312.021 * * [misc]simplify: Extracting #6: cost 6 inf + 1453 1554304312.022 * * [misc]simplify: Extracting #7: cost 2 inf + 2324 1554304312.023 * * [misc]simplify: Extracting #8: cost 0 inf + 3392 1554304312.024 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554304312.024 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.024 * * * * [misc]progress: [ 64 / 260 ] simplifiying candidate # 1554304312.024 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304312.024 * * [misc]simplify: iters left: 6 (12 enodes) 1554304312.030 * * [misc]simplify: iters left: 5 (39 enodes) 1554304312.042 * * [misc]simplify: iters left: 4 (44 enodes) 1554304312.054 * * [misc]simplify: iters left: 3 (46 enodes) 1554304312.067 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.067 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.067 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304312.067 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304312.067 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1554304312.068 * * [misc]simplify: Extracting #5: cost 14 inf + 290 1554304312.068 * * [misc]simplify: Extracting #6: cost 6 inf + 1373 1554304312.069 * * [misc]simplify: Extracting #7: cost 2 inf + 2244 1554304312.069 * * [misc]simplify: Extracting #8: cost 0 inf + 3232 1554304312.070 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304312.070 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.071 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304312.071 * * [misc]simplify: iters left: 6 (12 enodes) 1554304312.077 * * [misc]simplify: iters left: 5 (39 enodes) 1554304312.088 * * [misc]simplify: iters left: 4 (44 enodes) 1554304312.101 * * [misc]simplify: iters left: 3 (46 enodes) 1554304312.111 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.111 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.111 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304312.111 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304312.111 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1554304312.111 * * [misc]simplify: Extracting #5: cost 14 inf + 290 1554304312.111 * * [misc]simplify: Extracting #6: cost 6 inf + 1373 1554304312.112 * * [misc]simplify: Extracting #7: cost 2 inf + 2244 1554304312.112 * * [misc]simplify: Extracting #8: cost 0 inf + 3232 1554304312.112 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304312.112 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.112 * * * * [misc]progress: [ 65 / 260 ] simplifiying candidate # 1554304312.113 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554304312.113 * * [misc]simplify: iters left: 6 (11 enodes) 1554304312.116 * * [misc]simplify: iters left: 5 (36 enodes) 1554304312.123 * * [misc]simplify: iters left: 4 (43 enodes) 1554304312.129 * * [misc]simplify: iters left: 3 (45 enodes) 1554304312.135 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.136 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.136 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304312.136 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304312.136 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304312.136 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554304312.136 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554304312.136 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554304312.136 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304312.136 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.137 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554304312.137 * * [misc]simplify: iters left: 6 (11 enodes) 1554304312.140 * * [misc]simplify: iters left: 5 (36 enodes) 1554304312.145 * * [misc]simplify: iters left: 4 (41 enodes) 1554304312.151 * * [misc]simplify: iters left: 3 (43 enodes) 1554304312.157 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.157 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.157 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304312.157 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1554304312.157 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1554304312.157 * * [misc]simplify: Extracting #5: cost 13 inf + 210 1554304312.158 * * [misc]simplify: Extracting #6: cost 6 inf + 959 1554304312.158 * * [misc]simplify: Extracting #7: cost 0 inf + 2990 1554304312.158 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554304312.158 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.158 * * * * [misc]progress: [ 66 / 260 ] simplifiying candidate # 1554304312.159 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304312.159 * * [misc]simplify: iters left: 6 (6 enodes) 1554304312.160 * * [misc]simplify: iters left: 5 (22 enodes) 1554304312.167 * * [misc]simplify: iters left: 4 (26 enodes) 1554304312.175 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.175 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304312.175 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304312.175 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304312.175 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1554304312.175 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1554304312.176 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554304312.176 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304312.176 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.177 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304312.177 * * [misc]simplify: iters left: 6 (11 enodes) 1554304312.183 * * [misc]simplify: iters left: 5 (36 enodes) 1554304312.193 * * [misc]simplify: iters left: 4 (41 enodes) 1554304312.203 * * [misc]simplify: iters left: 3 (43 enodes) 1554304312.217 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.217 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.217 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304312.217 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304312.218 * * [misc]simplify: Extracting #4: cost 12 inf + 331 1554304312.218 * * [misc]simplify: Extracting #5: cost 4 inf + 1201 1554304312.218 * * [misc]simplify: Extracting #6: cost 0 inf + 2564 1554304312.219 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554304312.219 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.219 * * * * [misc]progress: [ 67 / 260 ] simplifiying candidate # 1554304312.219 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1554304312.220 * * [misc]simplify: iters left: 4 (5 enodes) 1554304312.222 * * [misc]simplify: iters left: 3 (17 enodes) 1554304312.227 * * [misc]simplify: iters left: 2 (19 enodes) 1554304312.232 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.232 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.232 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304312.232 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304312.232 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1554304312.233 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554304312.233 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.233 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304312.233 * * [misc]simplify: iters left: 6 (11 enodes) 1554304312.238 * * [misc]simplify: iters left: 5 (36 enodes) 1554304312.245 * * [misc]simplify: iters left: 4 (41 enodes) 1554304312.250 * * [misc]simplify: iters left: 3 (43 enodes) 1554304312.257 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.257 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.257 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304312.257 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304312.257 * * [misc]simplify: Extracting #4: cost 12 inf + 291 1554304312.257 * * [misc]simplify: Extracting #5: cost 4 inf + 1121 1554304312.257 * * [misc]simplify: Extracting #6: cost 0 inf + 2404 1554304312.258 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304312.258 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.258 * * * * [misc]progress: [ 68 / 260 ] simplifiying candidate # 1554304312.258 * [enter]simplify: Simplifying (/ 1 1) 1554304312.258 * * [misc]simplify: iters left: 2 (2 enodes) 1554304312.259 * * [misc]simplify: iters left: 1 (6 enodes) 1554304312.260 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.260 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304312.260 * [exit]simplify: Simplified to 1 1554304312.260 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.260 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554304312.260 * * [misc]simplify: iters left: 6 (10 enodes) 1554304312.263 * * [misc]simplify: iters left: 5 (33 enodes) 1554304312.268 * * [misc]simplify: iters left: 4 (38 enodes) 1554304312.274 * * [misc]simplify: iters left: 3 (40 enodes) 1554304312.285 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.285 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.285 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304312.285 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554304312.286 * * [misc]simplify: Extracting #4: cost 12 inf + 128 1554304312.286 * * [misc]simplify: Extracting #5: cost 1 inf + 2121 1554304312.286 * * [misc]simplify: Extracting #6: cost 0 inf + 2162 1554304312.287 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554304312.287 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.287 * * * * [misc]progress: [ 69 / 260 ] simplifiying candidate # 1554304312.287 * * * * [misc]progress: [ 70 / 260 ] simplifiying candidate # 1554304312.287 * * * * [misc]progress: [ 71 / 260 ] simplifiying candidate # 1554304312.287 * * * * [misc]progress: [ 72 / 260 ] simplifiying candidate # 1554304312.288 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1554304312.288 * * [misc]simplify: iters left: 2 (3 enodes) 1554304312.289 * * [misc]simplify: iters left: 1 (9 enodes) 1554304312.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.291 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304312.291 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304312.291 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554304312.291 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1554304312.292 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1554304312.292 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.292 * * * * [misc]progress: [ 73 / 260 ] simplifiying candidate # 1554304312.292 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554304312.292 * * [misc]simplify: iters left: 2 (3 enodes) 1554304312.293 * * [misc]simplify: iters left: 1 (9 enodes) 1554304312.296 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.296 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304312.296 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304312.296 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554304312.296 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554304312.296 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554304312.296 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.297 * * * * [misc]progress: [ 74 / 260 ] simplifiying candidate # 1554304312.297 * [enter]simplify: Simplifying (sqrt k) 1554304312.297 * * [misc]simplify: iters left: 1 (2 enodes) 1554304312.298 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.298 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304312.298 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1554304312.298 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1554304312.298 * [exit]simplify: Simplified to (sqrt k) 1554304312.298 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.298 * * * * [misc]progress: [ 75 / 260 ] simplifiying candidate # 1554304312.298 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554304312.299 * * [misc]simplify: iters left: 3 (5 enodes) 1554304312.302 * * [misc]simplify: iters left: 2 (17 enodes) 1554304312.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.306 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.306 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304312.306 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554304312.306 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554304312.306 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304312.307 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.307 * * * * [misc]progress: [ 76 / 260 ] simplifiying candidate # 1554304312.307 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554304312.307 * * [misc]simplify: iters left: 3 (5 enodes) 1554304312.308 * * [misc]simplify: iters left: 2 (17 enodes) 1554304312.311 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.311 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.311 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304312.311 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554304312.311 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554304312.311 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304312.311 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.311 * * * * [misc]progress: [ 77 / 260 ] simplifiying candidate # 1554304312.312 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554304312.312 * * [misc]simplify: iters left: 5 (7 enodes) 1554304312.314 * * [misc]simplify: iters left: 4 (23 enodes) 1554304312.317 * * [misc]simplify: iters left: 3 (28 enodes) 1554304312.323 * * [misc]simplify: iters left: 2 (30 enodes) 1554304312.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.328 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.328 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304312.328 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304312.328 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304312.328 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304312.328 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304312.329 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304312.329 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304312.329 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.329 * * * * [misc]progress: [ 78 / 260 ] simplifiying candidate # 1554304312.329 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304312.329 * * [misc]simplify: iters left: 6 (10 enodes) 1554304312.332 * * [misc]simplify: iters left: 5 (33 enodes) 1554304312.341 * * [misc]simplify: iters left: 4 (38 enodes) 1554304312.351 * * [misc]simplify: iters left: 3 (40 enodes) 1554304312.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.357 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304312.357 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304312.357 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554304312.357 * * [misc]simplify: Extracting #4: cost 15 inf + 0 1554304312.357 * * [misc]simplify: Extracting #5: cost 16 inf + 3 1554304312.357 * * [misc]simplify: Extracting #6: cost 12 inf + 171 1554304312.357 * * [misc]simplify: Extracting #7: cost 4 inf + 1252 1554304312.357 * * [misc]simplify: Extracting #8: cost 0 inf + 2988 1554304312.358 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304312.358 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (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)))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.358 * * * * [misc]progress: [ 79 / 260 ] simplifiying candidate # 1554304312.358 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304312.358 * * [misc]simplify: iters left: 6 (9 enodes) 1554304312.361 * * [misc]simplify: iters left: 5 (30 enodes) 1554304312.365 * * [misc]simplify: iters left: 4 (35 enodes) 1554304312.370 * * [misc]simplify: iters left: 3 (37 enodes) 1554304312.376 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.376 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304312.376 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304312.376 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304312.376 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554304312.376 * * [misc]simplify: Extracting #5: cost 9 inf + 253 1554304312.376 * * [misc]simplify: Extracting #6: cost 4 inf + 835 1554304312.376 * * [misc]simplify: Extracting #7: cost 0 inf + 2000 1554304312.377 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304312.377 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.377 * * * * [misc]progress: [ 80 / 260 ] simplifiying candidate # 1554304312.377 * * * * [misc]progress: [ 81 / 260 ] simplifiying candidate # 1554304312.377 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554304312.377 * * [misc]simplify: iters left: 3 (5 enodes) 1554304312.381 * * [misc]simplify: iters left: 2 (17 enodes) 1554304312.386 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.386 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304312.386 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304312.386 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554304312.386 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554304312.386 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304312.387 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.387 * * * * [misc]progress: [ 82 / 260 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (/ 1 (pow PI (- 1/2 (/ k 2))))))> 1554304312.387 * * * * [misc]progress: [ 83 / 260 ] simplifiying candidate # 1554304312.387 * * * * [misc]progress: [ 84 / 260 ] simplifiying candidate # 1554304312.387 * * * * [misc]progress: [ 85 / 260 ] simplifiying candidate # 1554304312.387 * * * * [misc]progress: [ 86 / 260 ] simplifiying candidate # 1554304312.387 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (- (* (log PI) (- 1/2 (/ k 2))))) 1554304312.387 * * [misc]simplify: iters left: 6 (17 enodes) 1554304312.395 * * [misc]simplify: iters left: 5 (70 enodes) 1554304312.407 * * [misc]simplify: iters left: 4 (136 enodes) 1554304312.451 * * [misc]simplify: iters left: 3 (345 enodes) 1554304312.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.594 * * [misc]simplify: Extracting #1: cost 45 inf + 0 1554304312.595 * * [misc]simplify: Extracting #2: cost 193 inf + 1 1554304312.596 * * [misc]simplify: Extracting #3: cost 218 inf + 788 1554304312.598 * * [misc]simplify: Extracting #4: cost 150 inf + 15655 1554304312.609 * * [misc]simplify: Extracting #5: cost 29 inf + 55411 1554304312.626 * * [misc]simplify: Extracting #6: cost 0 inf + 66846 1554304312.643 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304312.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304312.643 * * * * [misc]progress: [ 87 / 260 ] simplifiying candidate # 1554304312.643 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (- (log (pow PI (- 1/2 (/ k 2)))))) 1554304312.644 * * [misc]simplify: iters left: 6 (17 enodes) 1554304312.652 * * [misc]simplify: iters left: 5 (67 enodes) 1554304312.674 * * [misc]simplify: iters left: 4 (113 enodes) 1554304312.712 * * [misc]simplify: iters left: 3 (257 enodes) 1554304312.835 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304312.835 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304312.836 * * [misc]simplify: Extracting #2: cost 150 inf + 1 1554304312.837 * * [misc]simplify: Extracting #3: cost 173 inf + 634 1554304312.839 * * [misc]simplify: Extracting #4: cost 149 inf + 2972 1554304312.848 * * [misc]simplify: Extracting #5: cost 50 inf + 29648 1554304312.858 * * [misc]simplify: Extracting #6: cost 0 inf + 50062 1554304312.868 * * [misc]simplify: Extracting #7: cost 0 inf + 50047 1554304312.886 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304312.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304312.887 * * * * [misc]progress: [ 88 / 260 ] simplifiying candidate # 1554304312.887 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304312.887 * * [misc]simplify: iters left: 6 (18 enodes) 1554304312.892 * * [misc]simplify: iters left: 5 (74 enodes) 1554304312.904 * * [misc]simplify: iters left: 4 (119 enodes) 1554304312.938 * * [misc]simplify: iters left: 3 (252 enodes) 1554304313.027 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304313.027 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304313.027 * * [misc]simplify: Extracting #2: cost 140 inf + 1 1554304313.028 * * [misc]simplify: Extracting #3: cost 165 inf + 523 1554304313.028 * * [misc]simplify: Extracting #4: cost 143 inf + 2640 1554304313.032 * * [misc]simplify: Extracting #5: cost 60 inf + 26070 1554304313.041 * * [misc]simplify: Extracting #6: cost 5 inf + 46289 1554304313.058 * * [misc]simplify: Extracting #7: cost 0 inf + 48548 1554304313.078 * * [misc]simplify: Extracting #8: cost 0 inf + 48518 1554304313.093 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304313.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304313.094 * * * * [misc]progress: [ 89 / 260 ] simplifiying candidate # 1554304313.094 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (- (* (log PI) (- 1/2 (/ k 2))))) 1554304313.094 * * [misc]simplify: iters left: 6 (17 enodes) 1554304313.098 * * [misc]simplify: iters left: 5 (70 enodes) 1554304313.110 * * [misc]simplify: iters left: 4 (136 enodes) 1554304313.154 * * [misc]simplify: iters left: 3 (345 enodes) 1554304313.612 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304313.612 * * [misc]simplify: Extracting #1: cost 45 inf + 0 1554304313.614 * * [misc]simplify: Extracting #2: cost 193 inf + 1 1554304313.615 * * [misc]simplify: Extracting #3: cost 218 inf + 788 1554304313.618 * * [misc]simplify: Extracting #4: cost 150 inf + 15655 1554304313.628 * * [misc]simplify: Extracting #5: cost 29 inf + 55411 1554304313.649 * * [misc]simplify: Extracting #6: cost 0 inf + 66846 1554304313.676 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304313.676 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304313.676 * * * * [misc]progress: [ 90 / 260 ] simplifiying candidate # 1554304313.677 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (- (log (pow PI (- 1/2 (/ k 2)))))) 1554304313.677 * * [misc]simplify: iters left: 6 (17 enodes) 1554304313.686 * * [misc]simplify: iters left: 5 (67 enodes) 1554304313.708 * * [misc]simplify: iters left: 4 (113 enodes) 1554304313.735 * * [misc]simplify: iters left: 3 (257 enodes) 1554304313.837 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304313.837 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304313.838 * * [misc]simplify: Extracting #2: cost 150 inf + 1 1554304313.839 * * [misc]simplify: Extracting #3: cost 173 inf + 634 1554304313.841 * * [misc]simplify: Extracting #4: cost 149 inf + 2972 1554304313.851 * * [misc]simplify: Extracting #5: cost 50 inf + 29648 1554304313.876 * * [misc]simplify: Extracting #6: cost 0 inf + 50062 1554304313.896 * * [misc]simplify: Extracting #7: cost 0 inf + 50047 1554304313.917 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304313.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304313.917 * * * * [misc]progress: [ 91 / 260 ] simplifiying candidate # 1554304313.918 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304313.918 * * [misc]simplify: iters left: 6 (18 enodes) 1554304313.924 * * [misc]simplify: iters left: 5 (74 enodes) 1554304313.936 * * [misc]simplify: iters left: 4 (119 enodes) 1554304313.959 * * [misc]simplify: iters left: 3 (252 enodes) 1554304314.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304314.071 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304314.071 * * [misc]simplify: Extracting #2: cost 140 inf + 1 1554304314.073 * * [misc]simplify: Extracting #3: cost 165 inf + 523 1554304314.074 * * [misc]simplify: Extracting #4: cost 143 inf + 2640 1554304314.082 * * [misc]simplify: Extracting #5: cost 60 inf + 26070 1554304314.100 * * [misc]simplify: Extracting #6: cost 5 inf + 46289 1554304314.120 * * [misc]simplify: Extracting #7: cost 0 inf + 48548 1554304314.140 * * [misc]simplify: Extracting #8: cost 0 inf + 48518 1554304314.160 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304314.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304314.160 * * * * [misc]progress: [ 92 / 260 ] simplifiying candidate # 1554304314.160 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) (- (* (log PI) (- 1/2 (/ k 2))))) 1554304314.160 * * [misc]simplify: iters left: 6 (17 enodes) 1554304314.169 * * [misc]simplify: iters left: 5 (67 enodes) 1554304314.185 * * [misc]simplify: iters left: 4 (122 enodes) 1554304314.211 * * [misc]simplify: iters left: 3 (249 enodes) 1554304314.272 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304314.272 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554304314.272 * * [misc]simplify: Extracting #2: cost 135 inf + 0 1554304314.273 * * [misc]simplify: Extracting #3: cost 150 inf + 298 1554304314.275 * * [misc]simplify: Extracting #4: cost 133 inf + 2222 1554304314.280 * * [misc]simplify: Extracting #5: cost 66 inf + 17354 1554304314.294 * * [misc]simplify: Extracting #6: cost 8 inf + 34309 1554304314.301 * * [misc]simplify: Extracting #7: cost 0 inf + 37045 1554304314.308 * * [misc]simplify: Extracting #8: cost 0 inf + 37030 1554304314.315 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304314.315 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304314.315 * * * * [misc]progress: [ 93 / 260 ] simplifiying candidate # 1554304314.315 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) (- (log (pow PI (- 1/2 (/ k 2)))))) 1554304314.316 * * [misc]simplify: iters left: 6 (17 enodes) 1554304314.320 * * [misc]simplify: iters left: 5 (64 enodes) 1554304314.334 * * [misc]simplify: iters left: 4 (99 enodes) 1554304314.366 * * [misc]simplify: iters left: 3 (161 enodes) 1554304314.418 * * [misc]simplify: iters left: 2 (418 enodes) 1554304314.680 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304314.681 * * [misc]simplify: Extracting #1: cost 83 inf + 0 1554304314.682 * * [misc]simplify: Extracting #2: cost 323 inf + 1 1554304314.683 * * [misc]simplify: Extracting #3: cost 322 inf + 1294 1554304314.686 * * [misc]simplify: Extracting #4: cost 269 inf + 11337 1554304314.696 * * [misc]simplify: Extracting #5: cost 125 inf + 57446 1554304314.739 * * [misc]simplify: Extracting #6: cost 10 inf + 107855 1554304314.785 * * [misc]simplify: Extracting #7: cost 0 inf + 113009 1554304314.828 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304314.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304314.828 * * * * [misc]progress: [ 94 / 260 ] simplifiying candidate # 1554304314.828 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304314.829 * * [misc]simplify: iters left: 6 (18 enodes) 1554304314.834 * * [misc]simplify: iters left: 5 (71 enodes) 1554304314.846 * * [misc]simplify: iters left: 4 (105 enodes) 1554304314.865 * * [misc]simplify: iters left: 3 (156 enodes) 1554304314.912 * * [misc]simplify: iters left: 2 (372 enodes) 1554304315.141 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304315.141 * * [misc]simplify: Extracting #1: cost 66 inf + 0 1554304315.143 * * [misc]simplify: Extracting #2: cost 249 inf + 2 1554304315.145 * * [misc]simplify: Extracting #3: cost 255 inf + 302 1554304315.150 * * [misc]simplify: Extracting #4: cost 193 inf + 11309 1554304315.172 * * [misc]simplify: Extracting #5: cost 36 inf + 64722 1554304315.192 * * [misc]simplify: Extracting #6: cost 0 inf + 80575 1554304315.225 * * [misc]simplify: Extracting #7: cost 0 inf + 80560 1554304315.243 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554304315.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554304315.244 * * * * [misc]progress: [ 95 / 260 ] simplifiying candidate # 1554304315.244 * [enter]simplify: Simplifying (- (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (- (* (log PI) (- 1/2 (/ k 2))))) 1554304315.244 * * [misc]simplify: iters left: 6 (16 enodes) 1554304315.248 * * [misc]simplify: iters left: 5 (61 enodes) 1554304315.271 * * [misc]simplify: iters left: 4 (105 enodes) 1554304315.310 * * [misc]simplify: iters left: 3 (201 enodes) 1554304315.366 * * [misc]simplify: iters left: 2 (344 enodes) 1554304315.491 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304315.491 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554304315.491 * * [misc]simplify: Extracting #2: cost 168 inf + 0 1554304315.492 * * [misc]simplify: Extracting #3: cost 164 inf + 1561 1554304315.494 * * [misc]simplify: Extracting #4: cost 112 inf + 14002 1554304315.507 * * [misc]simplify: Extracting #5: cost 14 inf + 49142 1554304315.528 * * [misc]simplify: Extracting #6: cost 0 inf + 48868 1554304315.548 * * [misc]simplify: Extracting #7: cost 0 inf + 48522 1554304315.567 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304315.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304315.567 * * * * [misc]progress: [ 96 / 260 ] simplifiying candidate # 1554304315.567 * [enter]simplify: Simplifying (- (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (- (log (pow PI (- 1/2 (/ k 2)))))) 1554304315.567 * * [misc]simplify: iters left: 6 (16 enodes) 1554304315.572 * * [misc]simplify: iters left: 5 (58 enodes) 1554304315.581 * * [misc]simplify: iters left: 4 (82 enodes) 1554304315.594 * * [misc]simplify: iters left: 3 (130 enodes) 1554304315.637 * * [misc]simplify: iters left: 2 (234 enodes) 1554304315.703 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304315.703 * * [misc]simplify: Extracting #1: cost 40 inf + 0 1554304315.704 * * [misc]simplify: Extracting #2: cost 151 inf + 0 1554304315.705 * * [misc]simplify: Extracting #3: cost 163 inf + 258 1554304315.707 * * [misc]simplify: Extracting #4: cost 141 inf + 2710 1554304315.714 * * [misc]simplify: Extracting #5: cost 56 inf + 25328 1554304315.728 * * [misc]simplify: Extracting #6: cost 5 inf + 41498 1554304315.744 * * [misc]simplify: Extracting #7: cost 0 inf + 43403 1554304315.761 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304315.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304315.761 * * * * [misc]progress: [ 97 / 260 ] simplifiying candidate # 1554304315.761 * [enter]simplify: Simplifying (- (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304315.762 * * [misc]simplify: iters left: 6 (17 enodes) 1554304315.771 * * [misc]simplify: iters left: 5 (65 enodes) 1554304315.794 * * [misc]simplify: iters left: 4 (88 enodes) 1554304315.820 * * [misc]simplify: iters left: 3 (121 enodes) 1554304315.846 * * [misc]simplify: iters left: 2 (191 enodes) 1554304315.909 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304315.909 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554304315.910 * * [misc]simplify: Extracting #2: cost 134 inf + 0 1554304315.911 * * [misc]simplify: Extracting #3: cost 140 inf + 410 1554304315.912 * * [misc]simplify: Extracting #4: cost 118 inf + 2685 1554304315.916 * * [misc]simplify: Extracting #5: cost 61 inf + 14268 1554304315.925 * * [misc]simplify: Extracting #6: cost 12 inf + 32286 1554304315.932 * * [misc]simplify: Extracting #7: cost 0 inf + 37386 1554304315.939 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1554304315.940 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1554304315.940 * * * * [misc]progress: [ 98 / 260 ] simplifiying candidate # 1554304315.940 * * * * [misc]progress: [ 99 / 260 ] simplifiying candidate # 1554304315.940 * * * * [misc]progress: [ 100 / 260 ] simplifiying candidate # 1554304315.940 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304315.940 * * [misc]simplify: iters left: 6 (21 enodes) 1554304315.946 * * [misc]simplify: iters left: 5 (86 enodes) 1554304315.970 * * [misc]simplify: iters left: 4 (191 enodes) 1554304316.049 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.049 * * [misc]simplify: Extracting #1: cost 81 inf + 0 1554304316.050 * * [misc]simplify: Extracting #2: cost 178 inf + 2 1554304316.051 * * [misc]simplify: Extracting #3: cost 190 inf + 370 1554304316.054 * * [misc]simplify: Extracting #4: cost 139 inf + 23968 1554304316.082 * * [misc]simplify: Extracting #5: cost 19 inf + 102734 1554304316.117 * * [misc]simplify: Extracting #6: cost 0 inf + 112210 1554304316.136 * [exit]simplify: Simplified to (/ (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* k (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304316.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* k (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304316.136 * * * * [misc]progress: [ 101 / 260 ] simplifiying candidate # 1554304316.136 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.137 * * [misc]simplify: iters left: 6 (19 enodes) 1554304316.142 * * [misc]simplify: iters left: 5 (83 enodes) 1554304316.172 * * [misc]simplify: iters left: 4 (176 enodes) 1554304316.242 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.242 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1554304316.242 * * [misc]simplify: Extracting #2: cost 144 inf + 2 1554304316.243 * * [misc]simplify: Extracting #3: cost 155 inf + 45 1554304316.243 * * [misc]simplify: Extracting #4: cost 146 inf + 1419 1554304316.251 * * [misc]simplify: Extracting #5: cost 72 inf + 41696 1554304316.265 * * [misc]simplify: Extracting #6: cost 6 inf + 88457 1554304316.280 * * [misc]simplify: Extracting #7: cost 0 inf + 92606 1554304316.309 * * [misc]simplify: Extracting #8: cost 0 inf + 92445 1554304316.340 * [exit]simplify: Simplified to (* (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304316.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304316.341 * * * * [misc]progress: [ 102 / 260 ] simplifiying candidate # 1554304316.341 * * * * [misc]progress: [ 103 / 260 ] simplifiying candidate # 1554304316.341 * * * * [misc]progress: [ 104 / 260 ] simplifiying candidate # 1554304316.341 * * * * [misc]progress: [ 105 / 260 ] simplifiying candidate # 1554304316.341 * * * * [misc]progress: [ 106 / 260 ] simplifiying candidate # 1554304316.341 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304316.342 * * [misc]simplify: iters left: 6 (19 enodes) 1554304316.352 * * [misc]simplify: iters left: 5 (68 enodes) 1554304316.373 * * [misc]simplify: iters left: 4 (90 enodes) 1554304316.399 * * [misc]simplify: iters left: 3 (99 enodes) 1554304316.413 * * [misc]simplify: iters left: 2 (102 enodes) 1554304316.428 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.429 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304316.429 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304316.429 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554304316.429 * * [misc]simplify: Extracting #4: cost 34 inf + 1 1554304316.429 * * [misc]simplify: Extracting #5: cost 39 inf + 3 1554304316.429 * * [misc]simplify: Extracting #6: cost 37 inf + 89 1554304316.429 * * [misc]simplify: Extracting #7: cost 22 inf + 3300 1554304316.430 * * [misc]simplify: Extracting #8: cost 7 inf + 11628 1554304316.432 * * [misc]simplify: Extracting #9: cost 1 inf + 17024 1554304316.435 * * [misc]simplify: Extracting #10: cost 0 inf + 17930 1554304316.439 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304316.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304316.440 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.440 * * [misc]simplify: iters left: 6 (17 enodes) 1554304316.451 * * [misc]simplify: iters left: 5 (56 enodes) 1554304316.465 * * [misc]simplify: iters left: 4 (63 enodes) 1554304316.474 * * [misc]simplify: iters left: 3 (65 enodes) 1554304316.483 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.483 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304316.483 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304316.483 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304316.483 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554304316.483 * * [misc]simplify: Extracting #5: cost 25 inf + 3 1554304316.483 * * [misc]simplify: Extracting #6: cost 23 inf + 89 1554304316.483 * * [misc]simplify: Extracting #7: cost 11 inf + 2003 1554304316.484 * * [misc]simplify: Extracting #8: cost 0 inf + 6972 1554304316.485 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304316.485 * * * * [misc]progress: [ 107 / 260 ] simplifiying candidate # 1554304316.485 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.485 * * [misc]simplify: iters left: 6 (18 enodes) 1554304316.490 * * [misc]simplify: iters left: 5 (61 enodes) 1554304316.509 * * [misc]simplify: iters left: 4 (72 enodes) 1554304316.530 * * [misc]simplify: iters left: 3 (77 enodes) 1554304316.552 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.552 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304316.552 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304316.552 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1554304316.552 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554304316.552 * * [misc]simplify: Extracting #5: cost 29 inf + 85 1554304316.552 * * [misc]simplify: Extracting #6: cost 28 inf + 130 1554304316.553 * * [misc]simplify: Extracting #7: cost 15 inf + 2673 1554304316.555 * * [misc]simplify: Extracting #8: cost 3 inf + 9078 1554304316.557 * * [misc]simplify: Extracting #9: cost 0 inf + 11264 1554304316.560 * [exit]simplify: Simplified to (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304316.560 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.561 * * [misc]simplify: iters left: 6 (17 enodes) 1554304316.570 * * [misc]simplify: iters left: 5 (56 enodes) 1554304316.588 * * [misc]simplify: iters left: 4 (63 enodes) 1554304316.604 * * [misc]simplify: iters left: 3 (65 enodes) 1554304316.613 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.613 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304316.613 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304316.613 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304316.613 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554304316.613 * * [misc]simplify: Extracting #5: cost 25 inf + 3 1554304316.613 * * [misc]simplify: Extracting #6: cost 23 inf + 89 1554304316.613 * * [misc]simplify: Extracting #7: cost 11 inf + 2003 1554304316.614 * * [misc]simplify: Extracting #8: cost 0 inf + 6812 1554304316.614 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304316.615 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304316.615 * * * * [misc]progress: [ 108 / 260 ] simplifiying candidate # 1554304316.615 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1) 1554304316.615 * * [misc]simplify: iters left: 6 (14 enodes) 1554304316.619 * * [misc]simplify: iters left: 5 (47 enodes) 1554304316.626 * * [misc]simplify: iters left: 4 (62 enodes) 1554304316.637 * * [misc]simplify: iters left: 3 (65 enodes) 1554304316.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.654 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304316.654 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304316.654 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304316.654 * * [misc]simplify: Extracting #4: cost 15 inf + 1 1554304316.654 * * [misc]simplify: Extracting #5: cost 19 inf + 84 1554304316.654 * * [misc]simplify: Extracting #6: cost 18 inf + 129 1554304316.655 * * [misc]simplify: Extracting #7: cost 9 inf + 1626 1554304316.655 * * [misc]simplify: Extracting #8: cost 2 inf + 4220 1554304316.657 * * [misc]simplify: Extracting #9: cost 0 inf + 5289 1554304316.658 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1554304316.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304316.659 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304316.659 * * [misc]simplify: iters left: 6 (16 enodes) 1554304316.666 * * [misc]simplify: iters left: 5 (55 enodes) 1554304316.683 * * [misc]simplify: iters left: 4 (63 enodes) 1554304316.705 * * [misc]simplify: iters left: 3 (72 enodes) 1554304316.724 * * [misc]simplify: iters left: 2 (73 enodes) 1554304316.734 * * [misc]simplify: iters left: 1 (75 enodes) 1554304316.744 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.744 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304316.744 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304316.744 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554304316.744 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1554304316.744 * * [misc]simplify: Extracting #5: cost 21 inf + 334 1554304316.744 * * [misc]simplify: Extracting #6: cost 15 inf + 878 1554304316.745 * * [misc]simplify: Extracting #7: cost 7 inf + 3008 1554304316.745 * * [misc]simplify: Extracting #8: cost 1 inf + 6435 1554304316.746 * * [misc]simplify: Extracting #9: cost 0 inf + 6970 1554304316.747 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1554304316.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))))) 1554304316.747 * * * * [misc]progress: [ 109 / 260 ] simplifiying candidate # 1554304316.747 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1) 1554304316.748 * * [misc]simplify: iters left: 6 (14 enodes) 1554304316.751 * * [misc]simplify: iters left: 5 (47 enodes) 1554304316.760 * * [misc]simplify: iters left: 4 (62 enodes) 1554304316.778 * * [misc]simplify: iters left: 3 (65 enodes) 1554304316.795 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.795 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304316.795 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304316.795 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304316.795 * * [misc]simplify: Extracting #4: cost 15 inf + 1 1554304316.795 * * [misc]simplify: Extracting #5: cost 19 inf + 84 1554304316.795 * * [misc]simplify: Extracting #6: cost 18 inf + 129 1554304316.796 * * [misc]simplify: Extracting #7: cost 9 inf + 1626 1554304316.797 * * [misc]simplify: Extracting #8: cost 2 inf + 4220 1554304316.798 * * [misc]simplify: Extracting #9: cost 0 inf + 5289 1554304316.799 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1554304316.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304316.800 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304316.800 * * [misc]simplify: iters left: 6 (16 enodes) 1554304316.809 * * [misc]simplify: iters left: 5 (55 enodes) 1554304316.819 * * [misc]simplify: iters left: 4 (63 enodes) 1554304316.829 * * [misc]simplify: iters left: 3 (72 enodes) 1554304316.839 * * [misc]simplify: iters left: 2 (73 enodes) 1554304316.856 * * [misc]simplify: iters left: 1 (75 enodes) 1554304316.866 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.866 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304316.866 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304316.866 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554304316.867 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1554304316.867 * * [misc]simplify: Extracting #5: cost 21 inf + 334 1554304316.867 * * [misc]simplify: Extracting #6: cost 15 inf + 878 1554304316.867 * * [misc]simplify: Extracting #7: cost 7 inf + 3008 1554304316.868 * * [misc]simplify: Extracting #8: cost 1 inf + 6435 1554304316.869 * * [misc]simplify: Extracting #9: cost 0 inf + 6970 1554304316.869 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1554304316.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))))) 1554304316.870 * * * * [misc]progress: [ 110 / 260 ] simplifiying candidate # 1554304316.870 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304316.870 * * [misc]simplify: iters left: 6 (17 enodes) 1554304316.874 * * [misc]simplify: iters left: 5 (61 enodes) 1554304316.884 * * [misc]simplify: iters left: 4 (77 enodes) 1554304316.895 * * [misc]simplify: iters left: 3 (106 enodes) 1554304316.913 * * [misc]simplify: iters left: 2 (119 enodes) 1554304316.944 * * [misc]simplify: iters left: 1 (148 enodes) 1554304316.967 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304316.967 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304316.967 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304316.967 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1554304316.967 * * [misc]simplify: Extracting #4: cost 24 inf + 167 1554304316.967 * * [misc]simplify: Extracting #5: cost 27 inf + 291 1554304316.967 * * [misc]simplify: Extracting #6: cost 25 inf + 458 1554304316.968 * * [misc]simplify: Extracting #7: cost 17 inf + 1621 1554304316.969 * * [misc]simplify: Extracting #8: cost 4 inf + 7958 1554304316.972 * * [misc]simplify: Extracting #9: cost 0 inf + 10298 1554304316.976 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1554304316.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))))) 1554304316.976 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))) 1554304316.977 * * [misc]simplify: iters left: 6 (14 enodes) 1554304316.983 * * [misc]simplify: iters left: 5 (45 enodes) 1554304316.996 * * [misc]simplify: iters left: 4 (50 enodes) 1554304317.014 * * [misc]simplify: iters left: 3 (52 enodes) 1554304317.029 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.029 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.029 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304317.029 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304317.029 * * [misc]simplify: Extracting #4: cost 14 inf + 87 1554304317.029 * * [misc]simplify: Extracting #5: cost 15 inf + 675 1554304317.029 * * [misc]simplify: Extracting #6: cost 14 inf + 759 1554304317.030 * * [misc]simplify: Extracting #7: cost 6 inf + 2214 1554304317.031 * * [misc]simplify: Extracting #8: cost 1 inf + 4402 1554304317.032 * * [misc]simplify: Extracting #9: cost 0 inf + 5147 1554304317.033 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))) 1554304317.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))))) 1554304317.033 * * * * [misc]progress: [ 111 / 260 ] simplifiying candidate # 1554304317.033 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304317.034 * * [misc]simplify: iters left: 6 (18 enodes) 1554304317.042 * * [misc]simplify: iters left: 5 (61 enodes) 1554304317.061 * * [misc]simplify: iters left: 4 (70 enodes) 1554304317.081 * * [misc]simplify: iters left: 3 (72 enodes) 1554304317.102 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.102 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304317.102 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304317.102 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554304317.102 * * [misc]simplify: Extracting #4: cost 24 inf + 1 1554304317.102 * * [misc]simplify: Extracting #5: cost 27 inf + 85 1554304317.103 * * [misc]simplify: Extracting #6: cost 26 inf + 130 1554304317.103 * * [misc]simplify: Extracting #7: cost 17 inf + 1587 1554304317.104 * * [misc]simplify: Extracting #8: cost 6 inf + 5571 1554304317.105 * * [misc]simplify: Extracting #9: cost 0 inf + 9454 1554304317.107 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304317.107 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304317.108 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.108 * * [misc]simplify: iters left: 6 (17 enodes) 1554304317.116 * * [misc]simplify: iters left: 5 (56 enodes) 1554304317.134 * * [misc]simplify: iters left: 4 (63 enodes) 1554304317.153 * * [misc]simplify: iters left: 3 (65 enodes) 1554304317.174 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.174 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.174 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304317.174 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304317.174 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554304317.174 * * [misc]simplify: Extracting #5: cost 25 inf + 3 1554304317.174 * * [misc]simplify: Extracting #6: cost 23 inf + 89 1554304317.175 * * [misc]simplify: Extracting #7: cost 11 inf + 2003 1554304317.176 * * [misc]simplify: Extracting #8: cost 0 inf + 6812 1554304317.178 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304317.178 * * * * [misc]progress: [ 112 / 260 ] simplifiying candidate # 1554304317.178 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.179 * * [misc]simplify: iters left: 6 (17 enodes) 1554304317.187 * * [misc]simplify: iters left: 5 (56 enodes) 1554304317.204 * * [misc]simplify: iters left: 4 (63 enodes) 1554304317.223 * * [misc]simplify: iters left: 3 (65 enodes) 1554304317.242 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.242 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.242 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304317.242 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304317.242 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554304317.242 * * [misc]simplify: Extracting #5: cost 25 inf + 3 1554304317.242 * * [misc]simplify: Extracting #6: cost 23 inf + 89 1554304317.243 * * [misc]simplify: Extracting #7: cost 11 inf + 2003 1554304317.244 * * [misc]simplify: Extracting #8: cost 0 inf + 6652 1554304317.245 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304317.246 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.246 * * [misc]simplify: iters left: 6 (17 enodes) 1554304317.254 * * [misc]simplify: iters left: 5 (56 enodes) 1554304317.263 * * [misc]simplify: iters left: 4 (63 enodes) 1554304317.272 * * [misc]simplify: iters left: 3 (65 enodes) 1554304317.282 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.282 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.282 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304317.282 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554304317.282 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554304317.282 * * [misc]simplify: Extracting #5: cost 25 inf + 3 1554304317.282 * * [misc]simplify: Extracting #6: cost 23 inf + 89 1554304317.283 * * [misc]simplify: Extracting #7: cost 11 inf + 2003 1554304317.284 * * [misc]simplify: Extracting #8: cost 0 inf + 6652 1554304317.285 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304317.286 * * * * [misc]progress: [ 113 / 260 ] simplifiying candidate # 1554304317.286 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1) 1554304317.286 * * [misc]simplify: iters left: 6 (13 enodes) 1554304317.295 * * [misc]simplify: iters left: 5 (42 enodes) 1554304317.309 * * [misc]simplify: iters left: 4 (49 enodes) 1554304317.324 * * [misc]simplify: iters left: 3 (51 enodes) 1554304317.339 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.339 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.339 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304317.339 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304317.339 * * [misc]simplify: Extracting #4: cost 15 inf + 84 1554304317.340 * * [misc]simplify: Extracting #5: cost 13 inf + 211 1554304317.340 * * [misc]simplify: Extracting #6: cost 7 inf + 1249 1554304317.341 * * [misc]simplify: Extracting #7: cost 1 inf + 2617 1554304317.342 * * [misc]simplify: Extracting #8: cost 0 inf + 3071 1554304317.342 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304317.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304317.343 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304317.343 * * [misc]simplify: iters left: 6 (16 enodes) 1554304317.351 * * [misc]simplify: iters left: 5 (55 enodes) 1554304317.368 * * [misc]simplify: iters left: 4 (63 enodes) 1554304317.386 * * [misc]simplify: iters left: 3 (72 enodes) 1554304317.407 * * [misc]simplify: iters left: 2 (73 enodes) 1554304317.428 * * [misc]simplify: iters left: 1 (75 enodes) 1554304317.448 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.448 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304317.448 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304317.448 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554304317.448 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1554304317.449 * * [misc]simplify: Extracting #5: cost 21 inf + 334 1554304317.449 * * [misc]simplify: Extracting #6: cost 15 inf + 878 1554304317.450 * * [misc]simplify: Extracting #7: cost 7 inf + 3008 1554304317.451 * * [misc]simplify: Extracting #8: cost 1 inf + 6235 1554304317.453 * * [misc]simplify: Extracting #9: cost 0 inf + 6730 1554304317.456 * [exit]simplify: Simplified to (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1554304317.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))))) 1554304317.457 * * * * [misc]progress: [ 114 / 260 ] simplifiying candidate # 1554304317.457 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1) 1554304317.457 * * [misc]simplify: iters left: 6 (13 enodes) 1554304317.464 * * [misc]simplify: iters left: 5 (42 enodes) 1554304317.474 * * [misc]simplify: iters left: 4 (49 enodes) 1554304317.481 * * [misc]simplify: iters left: 3 (51 enodes) 1554304317.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.489 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.489 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304317.489 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304317.489 * * [misc]simplify: Extracting #4: cost 15 inf + 84 1554304317.489 * * [misc]simplify: Extracting #5: cost 13 inf + 211 1554304317.490 * * [misc]simplify: Extracting #6: cost 7 inf + 1249 1554304317.490 * * [misc]simplify: Extracting #7: cost 1 inf + 2617 1554304317.491 * * [misc]simplify: Extracting #8: cost 0 inf + 3071 1554304317.491 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304317.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304317.492 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304317.492 * * [misc]simplify: iters left: 6 (16 enodes) 1554304317.502 * * [misc]simplify: iters left: 5 (55 enodes) 1554304317.518 * * [misc]simplify: iters left: 4 (63 enodes) 1554304317.528 * * [misc]simplify: iters left: 3 (72 enodes) 1554304317.537 * * [misc]simplify: iters left: 2 (73 enodes) 1554304317.547 * * [misc]simplify: iters left: 1 (75 enodes) 1554304317.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.563 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304317.563 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304317.563 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554304317.563 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1554304317.563 * * [misc]simplify: Extracting #5: cost 21 inf + 334 1554304317.564 * * [misc]simplify: Extracting #6: cost 15 inf + 878 1554304317.564 * * [misc]simplify: Extracting #7: cost 7 inf + 3008 1554304317.566 * * [misc]simplify: Extracting #8: cost 1 inf + 6235 1554304317.567 * * [misc]simplify: Extracting #9: cost 0 inf + 6730 1554304317.569 * [exit]simplify: Simplified to (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1554304317.569 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (- 1/2 (/ k 2)))))) 1554304317.569 * * * * [misc]progress: [ 115 / 260 ] simplifiying candidate # 1554304317.570 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 (pow PI 1/2))) 1554304317.570 * * [misc]simplify: iters left: 6 (16 enodes) 1554304317.577 * * [misc]simplify: iters left: 5 (56 enodes) 1554304317.595 * * [misc]simplify: iters left: 4 (64 enodes) 1554304317.613 * * [misc]simplify: iters left: 3 (73 enodes) 1554304317.634 * * [misc]simplify: iters left: 2 (74 enodes) 1554304317.648 * * [misc]simplify: iters left: 1 (76 enodes) 1554304317.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.658 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304317.658 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304317.658 * * [misc]simplify: Extracting #3: cost 13 inf + 44 1554304317.658 * * [misc]simplify: Extracting #4: cost 15 inf + 249 1554304317.658 * * [misc]simplify: Extracting #5: cost 18 inf + 332 1554304317.658 * * [misc]simplify: Extracting #6: cost 18 inf + 376 1554304317.658 * * [misc]simplify: Extracting #7: cost 8 inf + 1955 1554304317.659 * * [misc]simplify: Extracting #8: cost 0 inf + 5378 1554304317.660 * [exit]simplify: Simplified to (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt PI)) 1554304317.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt PI)) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))))) 1554304317.660 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))) 1554304317.660 * * [misc]simplify: iters left: 6 (14 enodes) 1554304317.664 * * [misc]simplify: iters left: 5 (45 enodes) 1554304317.670 * * [misc]simplify: iters left: 4 (50 enodes) 1554304317.681 * * [misc]simplify: iters left: 3 (52 enodes) 1554304317.698 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.698 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304317.698 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304317.698 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304317.698 * * [misc]simplify: Extracting #4: cost 14 inf + 87 1554304317.699 * * [misc]simplify: Extracting #5: cost 15 inf + 675 1554304317.699 * * [misc]simplify: Extracting #6: cost 14 inf + 759 1554304317.699 * * [misc]simplify: Extracting #7: cost 6 inf + 2214 1554304317.700 * * [misc]simplify: Extracting #8: cost 1 inf + 4282 1554304317.702 * * [misc]simplify: Extracting #9: cost 0 inf + 4987 1554304317.703 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))) 1554304317.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (sqrt PI)) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (pow PI (/ k 2))))) 1554304317.703 * * * * [misc]progress: [ 116 / 260 ] simplifiying candidate # 1554304317.703 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304317.704 * * [misc]simplify: iters left: 6 (19 enodes) 1554304317.711 * * [misc]simplify: iters left: 5 (69 enodes) 1554304317.721 * * [misc]simplify: iters left: 4 (93 enodes) 1554304317.735 * * [misc]simplify: iters left: 3 (122 enodes) 1554304317.768 * * [misc]simplify: iters left: 2 (135 enodes) 1554304317.805 * * [misc]simplify: iters left: 1 (136 enodes) 1554304317.842 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.842 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554304317.842 * * [misc]simplify: Extracting #2: cost 38 inf + 0 1554304317.843 * * [misc]simplify: Extracting #3: cost 45 inf + 1 1554304317.843 * * [misc]simplify: Extracting #4: cost 44 inf + 5 1554304317.843 * * [misc]simplify: Extracting #5: cost 36 inf + 1386 1554304317.844 * * [misc]simplify: Extracting #6: cost 27 inf + 3822 1554304317.848 * * [misc]simplify: Extracting #7: cost 5 inf + 15975 1554304317.853 * * [misc]simplify: Extracting #8: cost 0 inf + 18318 1554304317.858 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304317.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304317.858 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.859 * * [misc]simplify: iters left: 6 (18 enodes) 1554304317.868 * * [misc]simplify: iters left: 5 (62 enodes) 1554304317.878 * * [misc]simplify: iters left: 4 (72 enodes) 1554304317.888 * * [misc]simplify: iters left: 3 (74 enodes) 1554304317.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304317.900 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304317.900 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304317.900 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304317.901 * * [misc]simplify: Extracting #4: cost 25 inf + 371 1554304317.901 * * [misc]simplify: Extracting #5: cost 16 inf + 1902 1554304317.902 * * [misc]simplify: Extracting #6: cost 13 inf + 2479 1554304317.903 * * [misc]simplify: Extracting #7: cost 7 inf + 4686 1554304317.905 * * [misc]simplify: Extracting #8: cost 0 inf + 9264 1554304317.906 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))) 1554304317.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))))) 1554304317.907 * * * * [misc]progress: [ 117 / 260 ] simplifiying candidate # 1554304317.907 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304317.907 * * [misc]simplify: iters left: 6 (18 enodes) 1554304317.917 * * [misc]simplify: iters left: 5 (64 enodes) 1554304317.938 * * [misc]simplify: iters left: 4 (81 enodes) 1554304317.961 * * [misc]simplify: iters left: 3 (95 enodes) 1554304317.989 * * [misc]simplify: iters left: 2 (97 enodes) 1554304318.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.015 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304318.015 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554304318.015 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1554304318.015 * * [misc]simplify: Extracting #4: cost 32 inf + 5 1554304318.016 * * [misc]simplify: Extracting #5: cost 23 inf + 1344 1554304318.016 * * [misc]simplify: Extracting #6: cost 20 inf + 2159 1554304318.017 * * [misc]simplify: Extracting #7: cost 12 inf + 4121 1554304318.020 * * [misc]simplify: Extracting #8: cost 1 inf + 9676 1554304318.022 * * [misc]simplify: Extracting #9: cost 0 inf + 10372 1554304318.023 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304318.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304318.023 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304318.023 * * [misc]simplify: iters left: 6 (18 enodes) 1554304318.028 * * [misc]simplify: iters left: 5 (62 enodes) 1554304318.037 * * [misc]simplify: iters left: 4 (72 enodes) 1554304318.047 * * [misc]simplify: iters left: 3 (74 enodes) 1554304318.060 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.060 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304318.060 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304318.060 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304318.061 * * [misc]simplify: Extracting #4: cost 25 inf + 371 1554304318.061 * * [misc]simplify: Extracting #5: cost 16 inf + 1902 1554304318.062 * * [misc]simplify: Extracting #6: cost 13 inf + 2479 1554304318.063 * * [misc]simplify: Extracting #7: cost 7 inf + 4606 1554304318.064 * * [misc]simplify: Extracting #8: cost 0 inf + 8944 1554304318.066 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))) 1554304318.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))))) 1554304318.066 * * * * [misc]progress: [ 118 / 260 ] simplifiying candidate # 1554304318.067 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304318.067 * * [misc]simplify: iters left: 6 (12 enodes) 1554304318.074 * * [misc]simplify: iters left: 5 (42 enodes) 1554304318.087 * * [misc]simplify: iters left: 4 (52 enodes) 1554304318.104 * * [misc]simplify: iters left: 3 (59 enodes) 1554304318.119 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.119 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304318.120 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304318.120 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554304318.120 * * [misc]simplify: Extracting #4: cost 14 inf + 5 1554304318.120 * * [misc]simplify: Extracting #5: cost 6 inf + 699 1554304318.121 * * [misc]simplify: Extracting #6: cost 1 inf + 1668 1554304318.121 * * [misc]simplify: Extracting #7: cost 0 inf + 1951 1554304318.122 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304318.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304318.122 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304318.123 * * [misc]simplify: iters left: 6 (17 enodes) 1554304318.132 * * [misc]simplify: iters left: 5 (61 enodes) 1554304318.152 * * [misc]simplify: iters left: 4 (75 enodes) 1554304318.174 * * [misc]simplify: iters left: 3 (86 enodes) 1554304318.201 * * [misc]simplify: iters left: 2 (111 enodes) 1554304318.234 * * [misc]simplify: iters left: 1 (128 enodes) 1554304318.265 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.265 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304318.266 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304318.266 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304318.266 * * [misc]simplify: Extracting #4: cost 31 inf + 289 1554304318.266 * * [misc]simplify: Extracting #5: cost 22 inf + 745 1554304318.268 * * [misc]simplify: Extracting #6: cost 10 inf + 5390 1554304318.271 * * [misc]simplify: Extracting #7: cost 0 inf + 10190 1554304318.274 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304318.274 * [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)))))) 1554304318.274 * * * * [misc]progress: [ 119 / 260 ] simplifiying candidate # 1554304318.275 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304318.275 * * [misc]simplify: iters left: 6 (12 enodes) 1554304318.282 * * [misc]simplify: iters left: 5 (42 enodes) 1554304318.296 * * [misc]simplify: iters left: 4 (52 enodes) 1554304318.312 * * [misc]simplify: iters left: 3 (59 enodes) 1554304318.327 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.327 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304318.327 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304318.327 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554304318.328 * * [misc]simplify: Extracting #4: cost 14 inf + 5 1554304318.328 * * [misc]simplify: Extracting #5: cost 6 inf + 699 1554304318.328 * * [misc]simplify: Extracting #6: cost 1 inf + 1668 1554304318.329 * * [misc]simplify: Extracting #7: cost 0 inf + 1951 1554304318.330 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304318.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304318.330 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304318.330 * * [misc]simplify: iters left: 6 (17 enodes) 1554304318.339 * * [misc]simplify: iters left: 5 (61 enodes) 1554304318.352 * * [misc]simplify: iters left: 4 (75 enodes) 1554304318.364 * * [misc]simplify: iters left: 3 (86 enodes) 1554304318.377 * * [misc]simplify: iters left: 2 (111 enodes) 1554304318.408 * * [misc]simplify: iters left: 1 (128 enodes) 1554304318.425 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.425 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304318.425 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304318.425 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304318.425 * * [misc]simplify: Extracting #4: cost 31 inf + 289 1554304318.426 * * [misc]simplify: Extracting #5: cost 22 inf + 745 1554304318.426 * * [misc]simplify: Extracting #6: cost 10 inf + 5390 1554304318.428 * * [misc]simplify: Extracting #7: cost 0 inf + 10190 1554304318.429 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304318.429 * [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)))))) 1554304318.429 * * * * [misc]progress: [ 120 / 260 ] simplifiying candidate # 1554304318.430 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304318.430 * * [misc]simplify: iters left: 6 (15 enodes) 1554304318.434 * * [misc]simplify: iters left: 5 (56 enodes) 1554304318.449 * * [misc]simplify: iters left: 4 (74 enodes) 1554304318.476 * * [misc]simplify: iters left: 3 (101 enodes) 1554304318.510 * * [misc]simplify: iters left: 2 (147 enodes) 1554304318.556 * * [misc]simplify: iters left: 1 (174 enodes) 1554304318.590 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.591 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304318.591 * * [misc]simplify: Extracting #2: cost 36 inf + 1 1554304318.591 * * [misc]simplify: Extracting #3: cost 38 inf + 167 1554304318.591 * * [misc]simplify: Extracting #4: cost 34 inf + 252 1554304318.591 * * [misc]simplify: Extracting #5: cost 29 inf + 500 1554304318.592 * * [misc]simplify: Extracting #6: cost 15 inf + 3173 1554304318.593 * * [misc]simplify: Extracting #7: cost 0 inf + 6974 1554304318.595 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554304318.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))))) 1554304318.595 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))) 1554304318.595 * * [misc]simplify: iters left: 6 (13 enodes) 1554304318.598 * * [misc]simplify: iters left: 5 (44 enodes) 1554304318.604 * * [misc]simplify: iters left: 4 (51 enodes) 1554304318.617 * * [misc]simplify: iters left: 3 (53 enodes) 1554304318.625 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.625 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304318.625 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304318.625 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304318.625 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554304318.625 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554304318.626 * * [misc]simplify: Extracting #6: cost 4 inf + 3977 1554304318.626 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 1554304318.627 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (cbrt (sqrt k)))) 1554304318.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (cbrt (sqrt k)))))) 1554304318.627 * * * * [misc]progress: [ 121 / 260 ] simplifiying candidate # 1554304318.627 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304318.627 * * [misc]simplify: iters left: 6 (18 enodes) 1554304318.632 * * [misc]simplify: iters left: 5 (64 enodes) 1554304318.642 * * [misc]simplify: iters left: 4 (81 enodes) 1554304318.662 * * [misc]simplify: iters left: 3 (92 enodes) 1554304318.687 * * [misc]simplify: iters left: 2 (95 enodes) 1554304318.706 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.706 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554304318.706 * * [misc]simplify: Extracting #2: cost 24 inf + 0 1554304318.706 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1554304318.706 * * [misc]simplify: Extracting #4: cost 32 inf + 5 1554304318.706 * * [misc]simplify: Extracting #5: cost 25 inf + 822 1554304318.706 * * [misc]simplify: Extracting #6: cost 23 inf + 1405 1554304318.707 * * [misc]simplify: Extracting #7: cost 12 inf + 5013 1554304318.708 * * [misc]simplify: Extracting #8: cost 2 inf + 10274 1554304318.709 * * [misc]simplify: Extracting #9: cost 0 inf + 11546 1554304318.711 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304318.711 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304318.711 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304318.711 * * [misc]simplify: iters left: 6 (18 enodes) 1554304318.716 * * [misc]simplify: iters left: 5 (62 enodes) 1554304318.725 * * [misc]simplify: iters left: 4 (72 enodes) 1554304318.735 * * [misc]simplify: iters left: 3 (74 enodes) 1554304318.745 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.745 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304318.745 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304318.745 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304318.745 * * [misc]simplify: Extracting #4: cost 25 inf + 331 1554304318.746 * * [misc]simplify: Extracting #5: cost 16 inf + 1782 1554304318.746 * * [misc]simplify: Extracting #6: cost 13 inf + 2319 1554304318.746 * * [misc]simplify: Extracting #7: cost 7 inf + 4526 1554304318.747 * * [misc]simplify: Extracting #8: cost 0 inf + 8944 1554304318.748 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1554304318.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))))) 1554304318.748 * * * * [misc]progress: [ 122 / 260 ] simplifiying candidate # 1554304318.748 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304318.749 * * [misc]simplify: iters left: 6 (17 enodes) 1554304318.753 * * [misc]simplify: iters left: 5 (59 enodes) 1554304318.761 * * [misc]simplify: iters left: 4 (71 enodes) 1554304318.775 * * [misc]simplify: iters left: 3 (75 enodes) 1554304318.790 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.790 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304318.790 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304318.790 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304318.790 * * [misc]simplify: Extracting #4: cost 24 inf + 5 1554304318.790 * * [misc]simplify: Extracting #5: cost 18 inf + 619 1554304318.791 * * [misc]simplify: Extracting #6: cost 15 inf + 1405 1554304318.791 * * [misc]simplify: Extracting #7: cost 6 inf + 4143 1554304318.792 * * [misc]simplify: Extracting #8: cost 0 inf + 6622 1554304318.793 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304318.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304318.793 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304318.793 * * [misc]simplify: iters left: 6 (18 enodes) 1554304318.798 * * [misc]simplify: iters left: 5 (62 enodes) 1554304318.807 * * [misc]simplify: iters left: 4 (72 enodes) 1554304318.821 * * [misc]simplify: iters left: 3 (74 enodes) 1554304318.841 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.841 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304318.841 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304318.841 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304318.841 * * [misc]simplify: Extracting #4: cost 25 inf + 331 1554304318.842 * * [misc]simplify: Extracting #5: cost 16 inf + 1782 1554304318.842 * * [misc]simplify: Extracting #6: cost 13 inf + 2319 1554304318.843 * * [misc]simplify: Extracting #7: cost 7 inf + 4446 1554304318.845 * * [misc]simplify: Extracting #8: cost 0 inf + 8624 1554304318.847 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1554304318.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))))) 1554304318.847 * * * * [misc]progress: [ 123 / 260 ] simplifiying candidate # 1554304318.847 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1) 1554304318.847 * * [misc]simplify: iters left: 6 (11 enodes) 1554304318.853 * * [misc]simplify: iters left: 5 (37 enodes) 1554304318.865 * * [misc]simplify: iters left: 4 (42 enodes) 1554304318.878 * * [misc]simplify: iters left: 3 (45 enodes) 1554304318.890 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.890 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304318.890 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304318.890 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304318.890 * * [misc]simplify: Extracting #4: cost 10 inf + 5 1554304318.890 * * [misc]simplify: Extracting #5: cost 2 inf + 497 1554304318.890 * * [misc]simplify: Extracting #6: cost 1 inf + 700 1554304318.891 * * [misc]simplify: Extracting #7: cost 0 inf + 903 1554304318.891 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304318.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304318.892 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304318.892 * * [misc]simplify: iters left: 6 (17 enodes) 1554304318.902 * * [misc]simplify: iters left: 5 (61 enodes) 1554304318.920 * * [misc]simplify: iters left: 4 (75 enodes) 1554304318.937 * * [misc]simplify: iters left: 3 (86 enodes) 1554304318.950 * * [misc]simplify: iters left: 2 (111 enodes) 1554304318.966 * * [misc]simplify: iters left: 1 (128 enodes) 1554304318.982 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304318.982 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304318.982 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304318.982 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304318.982 * * [misc]simplify: Extracting #4: cost 31 inf + 209 1554304318.982 * * [misc]simplify: Extracting #5: cost 22 inf + 665 1554304318.983 * * [misc]simplify: Extracting #6: cost 10 inf + 5150 1554304318.984 * * [misc]simplify: Extracting #7: cost 0 inf + 9710 1554304318.986 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304318.986 * [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)))))) 1554304318.986 * * * * [misc]progress: [ 124 / 260 ] simplifiying candidate # 1554304318.986 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1) 1554304318.986 * * [misc]simplify: iters left: 6 (11 enodes) 1554304318.991 * * [misc]simplify: iters left: 5 (37 enodes) 1554304318.996 * * [misc]simplify: iters left: 4 (42 enodes) 1554304319.003 * * [misc]simplify: iters left: 3 (45 enodes) 1554304319.009 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.009 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304319.009 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304319.009 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304319.009 * * [misc]simplify: Extracting #4: cost 10 inf + 5 1554304319.009 * * [misc]simplify: Extracting #5: cost 2 inf + 497 1554304319.009 * * [misc]simplify: Extracting #6: cost 1 inf + 700 1554304319.009 * * [misc]simplify: Extracting #7: cost 0 inf + 903 1554304319.009 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304319.010 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304319.010 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304319.010 * * [misc]simplify: iters left: 6 (17 enodes) 1554304319.014 * * [misc]simplify: iters left: 5 (61 enodes) 1554304319.024 * * [misc]simplify: iters left: 4 (75 enodes) 1554304319.035 * * [misc]simplify: iters left: 3 (86 enodes) 1554304319.047 * * [misc]simplify: iters left: 2 (111 enodes) 1554304319.064 * * [misc]simplify: iters left: 1 (128 enodes) 1554304319.081 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.081 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304319.081 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304319.081 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304319.081 * * [misc]simplify: Extracting #4: cost 31 inf + 209 1554304319.082 * * [misc]simplify: Extracting #5: cost 22 inf + 665 1554304319.082 * * [misc]simplify: Extracting #6: cost 10 inf + 5150 1554304319.084 * * [misc]simplify: Extracting #7: cost 0 inf + 9710 1554304319.085 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304319.085 * [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)))))) 1554304319.085 * * * * [misc]progress: [ 125 / 260 ] simplifiying candidate # 1554304319.085 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) (/ 1 (pow PI 1/2))) 1554304319.085 * * [misc]simplify: iters left: 6 (14 enodes) 1554304319.089 * * [misc]simplify: iters left: 5 (51 enodes) 1554304319.097 * * [misc]simplify: iters left: 4 (62 enodes) 1554304319.106 * * [misc]simplify: iters left: 3 (73 enodes) 1554304319.120 * * [misc]simplify: iters left: 2 (98 enodes) 1554304319.146 * * [misc]simplify: iters left: 1 (106 enodes) 1554304319.173 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.173 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304319.173 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554304319.173 * * [misc]simplify: Extracting #3: cost 26 inf + 208 1554304319.174 * * [misc]simplify: Extracting #4: cost 22 inf + 252 1554304319.174 * * [misc]simplify: Extracting #5: cost 9 inf + 1840 1554304319.176 * * [misc]simplify: Extracting #6: cost 0 inf + 3344 1554304319.178 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* n 2))) 1554304319.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))))) 1554304319.178 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))) 1554304319.178 * * [misc]simplify: iters left: 6 (13 enodes) 1554304319.185 * * [misc]simplify: iters left: 5 (44 enodes) 1554304319.197 * * [misc]simplify: iters left: 4 (51 enodes) 1554304319.211 * * [misc]simplify: iters left: 3 (53 enodes) 1554304319.219 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.219 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304319.219 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304319.219 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304319.219 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554304319.219 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554304319.220 * * [misc]simplify: Extracting #6: cost 4 inf + 3737 1554304319.220 * * [misc]simplify: Extracting #7: cost 0 inf + 6062 1554304319.221 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) 1554304319.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))))) 1554304319.221 * * * * [misc]progress: [ 126 / 260 ] simplifiying candidate # 1554304319.221 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304319.221 * * [misc]simplify: iters left: 6 (16 enodes) 1554304319.225 * * [misc]simplify: iters left: 5 (56 enodes) 1554304319.234 * * [misc]simplify: iters left: 4 (72 enodes) 1554304319.244 * * [misc]simplify: iters left: 3 (77 enodes) 1554304319.262 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.262 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304319.263 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304319.263 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554304319.263 * * [misc]simplify: Extracting #4: cost 18 inf + 4 1554304319.263 * * [misc]simplify: Extracting #5: cost 16 inf + 253 1554304319.263 * * [misc]simplify: Extracting #6: cost 20 inf + 253 1554304319.263 * * [misc]simplify: Extracting #7: cost 19 inf + 296 1554304319.264 * * [misc]simplify: Extracting #8: cost 9 inf + 2006 1554304319.265 * * [misc]simplify: Extracting #9: cost 0 inf + 5972 1554304319.267 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304319.267 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.267 * * [misc]simplify: iters left: 6 (17 enodes) 1554304319.274 * * [misc]simplify: iters left: 5 (59 enodes) 1554304319.285 * * [misc]simplify: iters left: 4 (69 enodes) 1554304319.295 * * [misc]simplify: iters left: 3 (71 enodes) 1554304319.305 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.305 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304319.305 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304319.305 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304319.305 * * [misc]simplify: Extracting #4: cost 24 inf + 209 1554304319.305 * * [misc]simplify: Extracting #5: cost 17 inf + 1538 1554304319.305 * * [misc]simplify: Extracting #6: cost 12 inf + 2371 1554304319.306 * * [misc]simplify: Extracting #7: cost 2 inf + 7341 1554304319.307 * * [misc]simplify: Extracting #8: cost 0 inf + 8542 1554304319.308 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1554304319.308 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))) 1554304319.308 * * * * [misc]progress: [ 127 / 260 ] simplifiying candidate # 1554304319.308 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.308 * * [misc]simplify: iters left: 6 (15 enodes) 1554304319.312 * * [misc]simplify: iters left: 5 (51 enodes) 1554304319.320 * * [misc]simplify: iters left: 4 (62 enodes) 1554304319.328 * * [misc]simplify: iters left: 3 (64 enodes) 1554304319.336 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.337 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304319.337 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304319.337 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304319.337 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304319.337 * * [misc]simplify: Extracting #5: cost 12 inf + 253 1554304319.337 * * [misc]simplify: Extracting #6: cost 16 inf + 253 1554304319.337 * * [misc]simplify: Extracting #7: cost 15 inf + 296 1554304319.337 * * [misc]simplify: Extracting #8: cost 5 inf + 1754 1554304319.338 * * [misc]simplify: Extracting #9: cost 0 inf + 3750 1554304319.338 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304319.339 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.339 * * [misc]simplify: iters left: 6 (17 enodes) 1554304319.343 * * [misc]simplify: iters left: 5 (59 enodes) 1554304319.352 * * [misc]simplify: iters left: 4 (69 enodes) 1554304319.362 * * [misc]simplify: iters left: 3 (71 enodes) 1554304319.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.375 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304319.375 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304319.375 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304319.375 * * [misc]simplify: Extracting #4: cost 24 inf + 209 1554304319.375 * * [misc]simplify: Extracting #5: cost 17 inf + 1538 1554304319.376 * * [misc]simplify: Extracting #6: cost 12 inf + 2371 1554304319.377 * * [misc]simplify: Extracting #7: cost 2 inf + 7061 1554304319.379 * * [misc]simplify: Extracting #8: cost 0 inf + 8222 1554304319.380 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1554304319.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))) 1554304319.381 * * * * [misc]progress: [ 128 / 260 ] simplifiying candidate # 1554304319.381 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554304319.381 * * [misc]simplify: iters left: 6 (8 enodes) 1554304319.386 * * [misc]simplify: iters left: 5 (26 enodes) 1554304319.394 * * [misc]simplify: iters left: 4 (28 enodes) 1554304319.402 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.402 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304319.402 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304319.402 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304319.402 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304319.403 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304319.403 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304319.403 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304319.403 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304319.403 * * [misc]simplify: iters left: 6 (16 enodes) 1554304319.412 * * [misc]simplify: iters left: 5 (58 enodes) 1554304319.424 * * [misc]simplify: iters left: 4 (72 enodes) 1554304319.435 * * [misc]simplify: iters left: 3 (83 enodes) 1554304319.448 * * [misc]simplify: iters left: 2 (108 enodes) 1554304319.467 * * [misc]simplify: iters left: 1 (123 enodes) 1554304319.498 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.498 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304319.498 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304319.498 * * [misc]simplify: Extracting #3: cost 31 inf + 85 1554304319.498 * * [misc]simplify: Extracting #4: cost 27 inf + 293 1554304319.499 * * [misc]simplify: Extracting #5: cost 13 inf + 3573 1554304319.501 * * [misc]simplify: Extracting #6: cost 3 inf + 7815 1554304319.502 * * [misc]simplify: Extracting #7: cost 0 inf + 9308 1554304319.503 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)) 1554304319.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)))) 1554304319.503 * * * * [misc]progress: [ 129 / 260 ] simplifiying candidate # 1554304319.504 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554304319.504 * * [misc]simplify: iters left: 6 (8 enodes) 1554304319.507 * * [misc]simplify: iters left: 5 (26 enodes) 1554304319.510 * * [misc]simplify: iters left: 4 (28 enodes) 1554304319.514 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.514 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304319.514 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304319.514 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304319.514 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304319.514 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304319.514 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304319.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304319.515 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304319.515 * * [misc]simplify: iters left: 6 (16 enodes) 1554304319.519 * * [misc]simplify: iters left: 5 (58 enodes) 1554304319.528 * * [misc]simplify: iters left: 4 (72 enodes) 1554304319.543 * * [misc]simplify: iters left: 3 (83 enodes) 1554304319.568 * * [misc]simplify: iters left: 2 (108 enodes) 1554304319.600 * * [misc]simplify: iters left: 1 (123 enodes) 1554304319.631 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.632 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304319.632 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304319.632 * * [misc]simplify: Extracting #3: cost 31 inf + 85 1554304319.632 * * [misc]simplify: Extracting #4: cost 27 inf + 293 1554304319.633 * * [misc]simplify: Extracting #5: cost 13 inf + 3573 1554304319.635 * * [misc]simplify: Extracting #6: cost 3 inf + 7815 1554304319.638 * * [misc]simplify: Extracting #7: cost 0 inf + 9308 1554304319.641 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)) 1554304319.641 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)))) 1554304319.641 * * * * [misc]progress: [ 130 / 260 ] simplifiying candidate # 1554304319.641 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (pow PI 1/2))) 1554304319.641 * * [misc]simplify: iters left: 6 (11 enodes) 1554304319.648 * * [misc]simplify: iters left: 5 (40 enodes) 1554304319.661 * * [misc]simplify: iters left: 4 (47 enodes) 1554304319.673 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.673 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304319.673 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304319.673 * * [misc]simplify: Extracting #3: cost 9 inf + 167 1554304319.673 * * [misc]simplify: Extracting #4: cost 6 inf + 251 1554304319.674 * * [misc]simplify: Extracting #5: cost 0 inf + 825 1554304319.674 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1554304319.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304319.675 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304319.675 * * [misc]simplify: iters left: 6 (12 enodes) 1554304319.680 * * [misc]simplify: iters left: 5 (41 enodes) 1554304319.692 * * [misc]simplify: iters left: 4 (48 enodes) 1554304319.706 * * [misc]simplify: iters left: 3 (50 enodes) 1554304319.720 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.720 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304319.720 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304319.720 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1554304319.720 * * [misc]simplify: Extracting #4: cost 17 inf + 291 1554304319.722 * * [misc]simplify: Extracting #5: cost 10 inf + 1537 1554304319.723 * * [misc]simplify: Extracting #6: cost 2 inf + 4492 1554304319.724 * * [misc]simplify: Extracting #7: cost 0 inf + 5820 1554304319.725 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ k 2))) 1554304319.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ k 2))))) 1554304319.726 * * * * [misc]progress: [ 131 / 260 ] simplifiying candidate # 1554304319.726 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304319.726 * * [misc]simplify: iters left: 6 (19 enodes) 1554304319.736 * * [misc]simplify: iters left: 5 (69 enodes) 1554304319.758 * * [misc]simplify: iters left: 4 (93 enodes) 1554304319.772 * * [misc]simplify: iters left: 3 (122 enodes) 1554304319.801 * * [misc]simplify: iters left: 2 (135 enodes) 1554304319.838 * * [misc]simplify: iters left: 1 (136 enodes) 1554304319.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.873 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554304319.873 * * [misc]simplify: Extracting #2: cost 38 inf + 0 1554304319.873 * * [misc]simplify: Extracting #3: cost 45 inf + 1 1554304319.873 * * [misc]simplify: Extracting #4: cost 44 inf + 5 1554304319.874 * * [misc]simplify: Extracting #5: cost 36 inf + 1386 1554304319.875 * * [misc]simplify: Extracting #6: cost 27 inf + 3822 1554304319.878 * * [misc]simplify: Extracting #7: cost 5 inf + 15975 1554304319.882 * * [misc]simplify: Extracting #8: cost 0 inf + 18318 1554304319.884 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304319.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304319.885 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.885 * * [misc]simplify: iters left: 6 (18 enodes) 1554304319.889 * * [misc]simplify: iters left: 5 (62 enodes) 1554304319.899 * * [misc]simplify: iters left: 4 (72 enodes) 1554304319.910 * * [misc]simplify: iters left: 3 (74 enodes) 1554304319.928 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.928 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304319.928 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304319.928 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304319.928 * * [misc]simplify: Extracting #4: cost 25 inf + 371 1554304319.928 * * [misc]simplify: Extracting #5: cost 16 inf + 1902 1554304319.929 * * [misc]simplify: Extracting #6: cost 13 inf + 2479 1554304319.929 * * [misc]simplify: Extracting #7: cost 7 inf + 4686 1554304319.930 * * [misc]simplify: Extracting #8: cost 0 inf + 9264 1554304319.931 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))) 1554304319.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))))) 1554304319.931 * * * * [misc]progress: [ 132 / 260 ] simplifiying candidate # 1554304319.931 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304319.931 * * [misc]simplify: iters left: 6 (18 enodes) 1554304319.936 * * [misc]simplify: iters left: 5 (64 enodes) 1554304319.946 * * [misc]simplify: iters left: 4 (81 enodes) 1554304319.966 * * [misc]simplify: iters left: 3 (95 enodes) 1554304319.981 * * [misc]simplify: iters left: 2 (97 enodes) 1554304319.994 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304319.994 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304319.994 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554304319.994 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1554304319.994 * * [misc]simplify: Extracting #4: cost 32 inf + 5 1554304319.995 * * [misc]simplify: Extracting #5: cost 23 inf + 1344 1554304319.995 * * [misc]simplify: Extracting #6: cost 20 inf + 2159 1554304319.996 * * [misc]simplify: Extracting #7: cost 12 inf + 4121 1554304319.997 * * [misc]simplify: Extracting #8: cost 1 inf + 9676 1554304320.001 * * [misc]simplify: Extracting #9: cost 0 inf + 10372 1554304320.004 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304320.005 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304320.005 * * [misc]simplify: iters left: 6 (18 enodes) 1554304320.014 * * [misc]simplify: iters left: 5 (62 enodes) 1554304320.032 * * [misc]simplify: iters left: 4 (72 enodes) 1554304320.042 * * [misc]simplify: iters left: 3 (74 enodes) 1554304320.052 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.052 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304320.052 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304320.052 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304320.053 * * [misc]simplify: Extracting #4: cost 25 inf + 371 1554304320.053 * * [misc]simplify: Extracting #5: cost 16 inf + 1902 1554304320.053 * * [misc]simplify: Extracting #6: cost 13 inf + 2479 1554304320.054 * * [misc]simplify: Extracting #7: cost 7 inf + 4606 1554304320.054 * * [misc]simplify: Extracting #8: cost 0 inf + 8944 1554304320.055 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))) 1554304320.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt k))))) 1554304320.055 * * * * [misc]progress: [ 133 / 260 ] simplifiying candidate # 1554304320.056 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304320.056 * * [misc]simplify: iters left: 6 (12 enodes) 1554304320.063 * * [misc]simplify: iters left: 5 (42 enodes) 1554304320.076 * * [misc]simplify: iters left: 4 (52 enodes) 1554304320.092 * * [misc]simplify: iters left: 3 (59 enodes) 1554304320.107 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.107 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304320.107 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304320.108 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554304320.108 * * [misc]simplify: Extracting #4: cost 14 inf + 5 1554304320.108 * * [misc]simplify: Extracting #5: cost 6 inf + 699 1554304320.108 * * [misc]simplify: Extracting #6: cost 1 inf + 1668 1554304320.109 * * [misc]simplify: Extracting #7: cost 0 inf + 1951 1554304320.110 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304320.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.110 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304320.110 * * [misc]simplify: iters left: 6 (17 enodes) 1554304320.119 * * [misc]simplify: iters left: 5 (61 enodes) 1554304320.138 * * [misc]simplify: iters left: 4 (75 enodes) 1554304320.160 * * [misc]simplify: iters left: 3 (86 enodes) 1554304320.187 * * [misc]simplify: iters left: 2 (111 enodes) 1554304320.205 * * [misc]simplify: iters left: 1 (128 enodes) 1554304320.224 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.224 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304320.224 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304320.225 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304320.225 * * [misc]simplify: Extracting #4: cost 31 inf + 289 1554304320.225 * * [misc]simplify: Extracting #5: cost 22 inf + 745 1554304320.227 * * [misc]simplify: Extracting #6: cost 10 inf + 5390 1554304320.229 * * [misc]simplify: Extracting #7: cost 0 inf + 10190 1554304320.232 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304320.232 * [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)))))) 1554304320.232 * * * * [misc]progress: [ 134 / 260 ] simplifiying candidate # 1554304320.233 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304320.233 * * [misc]simplify: iters left: 6 (12 enodes) 1554304320.239 * * [misc]simplify: iters left: 5 (42 enodes) 1554304320.252 * * [misc]simplify: iters left: 4 (52 enodes) 1554304320.268 * * [misc]simplify: iters left: 3 (59 enodes) 1554304320.284 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.284 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304320.285 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304320.285 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554304320.285 * * [misc]simplify: Extracting #4: cost 14 inf + 5 1554304320.285 * * [misc]simplify: Extracting #5: cost 6 inf + 699 1554304320.286 * * [misc]simplify: Extracting #6: cost 1 inf + 1668 1554304320.286 * * [misc]simplify: Extracting #7: cost 0 inf + 1951 1554304320.287 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304320.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.288 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304320.288 * * [misc]simplify: iters left: 6 (17 enodes) 1554304320.296 * * [misc]simplify: iters left: 5 (61 enodes) 1554304320.306 * * [misc]simplify: iters left: 4 (75 enodes) 1554304320.318 * * [misc]simplify: iters left: 3 (86 enodes) 1554304320.332 * * [misc]simplify: iters left: 2 (111 enodes) 1554304320.361 * * [misc]simplify: iters left: 1 (128 enodes) 1554304320.394 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.394 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304320.394 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304320.394 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304320.395 * * [misc]simplify: Extracting #4: cost 31 inf + 289 1554304320.395 * * [misc]simplify: Extracting #5: cost 22 inf + 745 1554304320.396 * * [misc]simplify: Extracting #6: cost 10 inf + 5390 1554304320.399 * * [misc]simplify: Extracting #7: cost 0 inf + 10190 1554304320.401 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304320.402 * [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)))))) 1554304320.402 * * * * [misc]progress: [ 135 / 260 ] simplifiying candidate # 1554304320.402 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304320.402 * * [misc]simplify: iters left: 6 (15 enodes) 1554304320.410 * * [misc]simplify: iters left: 5 (56 enodes) 1554304320.425 * * [misc]simplify: iters left: 4 (74 enodes) 1554304320.437 * * [misc]simplify: iters left: 3 (101 enodes) 1554304320.454 * * [misc]simplify: iters left: 2 (147 enodes) 1554304320.476 * * [misc]simplify: iters left: 1 (174 enodes) 1554304320.498 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.498 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554304320.498 * * [misc]simplify: Extracting #2: cost 36 inf + 1 1554304320.499 * * [misc]simplify: Extracting #3: cost 38 inf + 167 1554304320.499 * * [misc]simplify: Extracting #4: cost 34 inf + 252 1554304320.499 * * [misc]simplify: Extracting #5: cost 29 inf + 500 1554304320.499 * * [misc]simplify: Extracting #6: cost 15 inf + 3173 1554304320.502 * * [misc]simplify: Extracting #7: cost 0 inf + 6974 1554304320.504 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554304320.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))))) 1554304320.504 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))) 1554304320.504 * * [misc]simplify: iters left: 6 (13 enodes) 1554304320.509 * * [misc]simplify: iters left: 5 (44 enodes) 1554304320.515 * * [misc]simplify: iters left: 4 (51 enodes) 1554304320.522 * * [misc]simplify: iters left: 3 (53 enodes) 1554304320.530 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.530 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304320.530 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304320.530 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304320.530 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554304320.530 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554304320.530 * * [misc]simplify: Extracting #6: cost 4 inf + 3977 1554304320.531 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 1554304320.532 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (cbrt (sqrt k)))) 1554304320.532 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (cbrt (sqrt k)))))) 1554304320.532 * * * * [misc]progress: [ 136 / 260 ] simplifiying candidate # 1554304320.532 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.532 * * [misc]simplify: iters left: 6 (18 enodes) 1554304320.537 * * [misc]simplify: iters left: 5 (64 enodes) 1554304320.547 * * [misc]simplify: iters left: 4 (81 enodes) 1554304320.561 * * [misc]simplify: iters left: 3 (92 enodes) 1554304320.574 * * [misc]simplify: iters left: 2 (95 enodes) 1554304320.589 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.589 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554304320.589 * * [misc]simplify: Extracting #2: cost 24 inf + 0 1554304320.589 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1554304320.589 * * [misc]simplify: Extracting #4: cost 32 inf + 5 1554304320.589 * * [misc]simplify: Extracting #5: cost 25 inf + 822 1554304320.590 * * [misc]simplify: Extracting #6: cost 23 inf + 1405 1554304320.590 * * [misc]simplify: Extracting #7: cost 12 inf + 5013 1554304320.591 * * [misc]simplify: Extracting #8: cost 2 inf + 10274 1554304320.593 * * [misc]simplify: Extracting #9: cost 0 inf + 11546 1554304320.595 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.596 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304320.596 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304320.596 * * [misc]simplify: iters left: 6 (18 enodes) 1554304320.605 * * [misc]simplify: iters left: 5 (62 enodes) 1554304320.623 * * [misc]simplify: iters left: 4 (72 enodes) 1554304320.633 * * [misc]simplify: iters left: 3 (74 enodes) 1554304320.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.643 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304320.643 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304320.643 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304320.643 * * [misc]simplify: Extracting #4: cost 25 inf + 331 1554304320.643 * * [misc]simplify: Extracting #5: cost 16 inf + 1782 1554304320.643 * * [misc]simplify: Extracting #6: cost 13 inf + 2319 1554304320.644 * * [misc]simplify: Extracting #7: cost 7 inf + 4526 1554304320.645 * * [misc]simplify: Extracting #8: cost 0 inf + 8944 1554304320.646 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1554304320.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))))) 1554304320.646 * * * * [misc]progress: [ 137 / 260 ] simplifiying candidate # 1554304320.646 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304320.646 * * [misc]simplify: iters left: 6 (17 enodes) 1554304320.650 * * [misc]simplify: iters left: 5 (59 enodes) 1554304320.666 * * [misc]simplify: iters left: 4 (71 enodes) 1554304320.685 * * [misc]simplify: iters left: 3 (75 enodes) 1554304320.708 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.708 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304320.709 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304320.709 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554304320.709 * * [misc]simplify: Extracting #4: cost 24 inf + 5 1554304320.709 * * [misc]simplify: Extracting #5: cost 18 inf + 619 1554304320.710 * * [misc]simplify: Extracting #6: cost 15 inf + 1405 1554304320.711 * * [misc]simplify: Extracting #7: cost 6 inf + 4143 1554304320.712 * * [misc]simplify: Extracting #8: cost 0 inf + 6622 1554304320.713 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304320.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304320.714 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304320.714 * * [misc]simplify: iters left: 6 (18 enodes) 1554304320.718 * * [misc]simplify: iters left: 5 (62 enodes) 1554304320.727 * * [misc]simplify: iters left: 4 (72 enodes) 1554304320.737 * * [misc]simplify: iters left: 3 (74 enodes) 1554304320.754 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.754 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304320.754 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304320.754 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554304320.754 * * [misc]simplify: Extracting #4: cost 25 inf + 331 1554304320.755 * * [misc]simplify: Extracting #5: cost 16 inf + 1782 1554304320.756 * * [misc]simplify: Extracting #6: cost 13 inf + 2319 1554304320.756 * * [misc]simplify: Extracting #7: cost 7 inf + 4446 1554304320.758 * * [misc]simplify: Extracting #8: cost 0 inf + 8624 1554304320.760 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1554304320.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))))) 1554304320.760 * * * * [misc]progress: [ 138 / 260 ] simplifiying candidate # 1554304320.761 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1) 1554304320.761 * * [misc]simplify: iters left: 6 (11 enodes) 1554304320.767 * * [misc]simplify: iters left: 5 (37 enodes) 1554304320.778 * * [misc]simplify: iters left: 4 (42 enodes) 1554304320.784 * * [misc]simplify: iters left: 3 (45 enodes) 1554304320.790 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.790 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304320.790 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304320.790 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304320.790 * * [misc]simplify: Extracting #4: cost 10 inf + 5 1554304320.791 * * [misc]simplify: Extracting #5: cost 2 inf + 497 1554304320.791 * * [misc]simplify: Extracting #6: cost 1 inf + 700 1554304320.791 * * [misc]simplify: Extracting #7: cost 0 inf + 903 1554304320.791 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304320.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.791 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304320.792 * * [misc]simplify: iters left: 6 (17 enodes) 1554304320.797 * * [misc]simplify: iters left: 5 (61 enodes) 1554304320.812 * * [misc]simplify: iters left: 4 (75 enodes) 1554304320.832 * * [misc]simplify: iters left: 3 (86 enodes) 1554304320.845 * * [misc]simplify: iters left: 2 (111 enodes) 1554304320.862 * * [misc]simplify: iters left: 1 (128 enodes) 1554304320.895 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.895 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304320.896 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304320.896 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304320.896 * * [misc]simplify: Extracting #4: cost 31 inf + 209 1554304320.896 * * [misc]simplify: Extracting #5: cost 22 inf + 665 1554304320.898 * * [misc]simplify: Extracting #6: cost 10 inf + 5150 1554304320.900 * * [misc]simplify: Extracting #7: cost 0 inf + 9710 1554304320.903 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304320.903 * [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)))))) 1554304320.903 * * * * [misc]progress: [ 139 / 260 ] simplifiying candidate # 1554304320.903 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1) 1554304320.904 * * [misc]simplify: iters left: 6 (11 enodes) 1554304320.909 * * [misc]simplify: iters left: 5 (37 enodes) 1554304320.918 * * [misc]simplify: iters left: 4 (42 enodes) 1554304320.925 * * [misc]simplify: iters left: 3 (45 enodes) 1554304320.931 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304320.931 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304320.931 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304320.931 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304320.931 * * [misc]simplify: Extracting #4: cost 10 inf + 5 1554304320.931 * * [misc]simplify: Extracting #5: cost 2 inf + 497 1554304320.931 * * [misc]simplify: Extracting #6: cost 1 inf + 700 1554304320.932 * * [misc]simplify: Extracting #7: cost 0 inf + 903 1554304320.932 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304320.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304320.932 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304320.932 * * [misc]simplify: iters left: 6 (17 enodes) 1554304320.937 * * [misc]simplify: iters left: 5 (61 enodes) 1554304320.947 * * [misc]simplify: iters left: 4 (75 enodes) 1554304320.961 * * [misc]simplify: iters left: 3 (86 enodes) 1554304320.974 * * [misc]simplify: iters left: 2 (111 enodes) 1554304320.996 * * [misc]simplify: iters left: 1 (128 enodes) 1554304321.024 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.024 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304321.024 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554304321.024 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554304321.024 * * [misc]simplify: Extracting #4: cost 31 inf + 209 1554304321.025 * * [misc]simplify: Extracting #5: cost 22 inf + 665 1554304321.025 * * [misc]simplify: Extracting #6: cost 10 inf + 5150 1554304321.027 * * [misc]simplify: Extracting #7: cost 0 inf + 9710 1554304321.028 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304321.028 * [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)))))) 1554304321.028 * * * * [misc]progress: [ 140 / 260 ] simplifiying candidate # 1554304321.028 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) (/ 1 (pow PI 1/2))) 1554304321.028 * * [misc]simplify: iters left: 6 (14 enodes) 1554304321.032 * * [misc]simplify: iters left: 5 (51 enodes) 1554304321.040 * * [misc]simplify: iters left: 4 (62 enodes) 1554304321.049 * * [misc]simplify: iters left: 3 (73 enodes) 1554304321.067 * * [misc]simplify: iters left: 2 (98 enodes) 1554304321.094 * * [misc]simplify: iters left: 1 (106 enodes) 1554304321.106 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.106 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304321.107 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554304321.107 * * [misc]simplify: Extracting #3: cost 26 inf + 208 1554304321.107 * * [misc]simplify: Extracting #4: cost 22 inf + 252 1554304321.107 * * [misc]simplify: Extracting #5: cost 9 inf + 1840 1554304321.108 * * [misc]simplify: Extracting #6: cost 0 inf + 3344 1554304321.110 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* n 2))) 1554304321.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))))) 1554304321.110 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))) 1554304321.111 * * [misc]simplify: iters left: 6 (13 enodes) 1554304321.114 * * [misc]simplify: iters left: 5 (44 enodes) 1554304321.120 * * [misc]simplify: iters left: 4 (51 enodes) 1554304321.127 * * [misc]simplify: iters left: 3 (53 enodes) 1554304321.134 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.134 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304321.134 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304321.134 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304321.134 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554304321.134 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554304321.135 * * [misc]simplify: Extracting #6: cost 4 inf + 3737 1554304321.135 * * [misc]simplify: Extracting #7: cost 0 inf + 6062 1554304321.136 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) 1554304321.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))))) 1554304321.136 * * * * [misc]progress: [ 141 / 260 ] simplifiying candidate # 1554304321.136 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304321.136 * * [misc]simplify: iters left: 6 (16 enodes) 1554304321.140 * * [misc]simplify: iters left: 5 (56 enodes) 1554304321.157 * * [misc]simplify: iters left: 4 (72 enodes) 1554304321.167 * * [misc]simplify: iters left: 3 (77 enodes) 1554304321.177 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.177 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304321.177 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304321.177 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554304321.177 * * [misc]simplify: Extracting #4: cost 18 inf + 4 1554304321.177 * * [misc]simplify: Extracting #5: cost 16 inf + 253 1554304321.177 * * [misc]simplify: Extracting #6: cost 20 inf + 253 1554304321.178 * * [misc]simplify: Extracting #7: cost 19 inf + 296 1554304321.178 * * [misc]simplify: Extracting #8: cost 9 inf + 2006 1554304321.178 * * [misc]simplify: Extracting #9: cost 0 inf + 5972 1554304321.179 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304321.180 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.180 * * [misc]simplify: iters left: 6 (17 enodes) 1554304321.184 * * [misc]simplify: iters left: 5 (59 enodes) 1554304321.195 * * [misc]simplify: iters left: 4 (69 enodes) 1554304321.215 * * [misc]simplify: iters left: 3 (71 enodes) 1554304321.225 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.225 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304321.225 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304321.225 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304321.225 * * [misc]simplify: Extracting #4: cost 24 inf + 209 1554304321.225 * * [misc]simplify: Extracting #5: cost 17 inf + 1538 1554304321.225 * * [misc]simplify: Extracting #6: cost 12 inf + 2371 1554304321.226 * * [misc]simplify: Extracting #7: cost 2 inf + 7341 1554304321.227 * * [misc]simplify: Extracting #8: cost 0 inf + 8542 1554304321.228 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1554304321.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))) 1554304321.228 * * * * [misc]progress: [ 142 / 260 ] simplifiying candidate # 1554304321.228 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.229 * * [misc]simplify: iters left: 6 (15 enodes) 1554304321.232 * * [misc]simplify: iters left: 5 (51 enodes) 1554304321.241 * * [misc]simplify: iters left: 4 (62 enodes) 1554304321.252 * * [misc]simplify: iters left: 3 (64 enodes) 1554304321.263 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.263 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304321.263 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304321.263 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554304321.263 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304321.263 * * [misc]simplify: Extracting #5: cost 12 inf + 253 1554304321.263 * * [misc]simplify: Extracting #6: cost 16 inf + 253 1554304321.263 * * [misc]simplify: Extracting #7: cost 15 inf + 296 1554304321.264 * * [misc]simplify: Extracting #8: cost 5 inf + 1754 1554304321.264 * * [misc]simplify: Extracting #9: cost 0 inf + 3750 1554304321.265 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304321.265 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.265 * * [misc]simplify: iters left: 6 (17 enodes) 1554304321.269 * * [misc]simplify: iters left: 5 (59 enodes) 1554304321.278 * * [misc]simplify: iters left: 4 (69 enodes) 1554304321.288 * * [misc]simplify: iters left: 3 (71 enodes) 1554304321.309 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.310 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304321.310 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304321.310 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554304321.310 * * [misc]simplify: Extracting #4: cost 24 inf + 209 1554304321.310 * * [misc]simplify: Extracting #5: cost 17 inf + 1538 1554304321.311 * * [misc]simplify: Extracting #6: cost 12 inf + 2371 1554304321.312 * * [misc]simplify: Extracting #7: cost 2 inf + 7061 1554304321.314 * * [misc]simplify: Extracting #8: cost 0 inf + 8222 1554304321.316 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1554304321.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))) 1554304321.316 * * * * [misc]progress: [ 143 / 260 ] simplifiying candidate # 1554304321.316 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554304321.316 * * [misc]simplify: iters left: 6 (8 enodes) 1554304321.322 * * [misc]simplify: iters left: 5 (26 enodes) 1554304321.331 * * [misc]simplify: iters left: 4 (28 enodes) 1554304321.339 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.339 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304321.339 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304321.339 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304321.339 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304321.339 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304321.340 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304321.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304321.340 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304321.340 * * [misc]simplify: iters left: 6 (16 enodes) 1554304321.347 * * [misc]simplify: iters left: 5 (58 enodes) 1554304321.356 * * [misc]simplify: iters left: 4 (72 enodes) 1554304321.366 * * [misc]simplify: iters left: 3 (83 enodes) 1554304321.379 * * [misc]simplify: iters left: 2 (108 enodes) 1554304321.394 * * [misc]simplify: iters left: 1 (123 enodes) 1554304321.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.412 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304321.413 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304321.413 * * [misc]simplify: Extracting #3: cost 31 inf + 85 1554304321.413 * * [misc]simplify: Extracting #4: cost 27 inf + 293 1554304321.414 * * [misc]simplify: Extracting #5: cost 13 inf + 3573 1554304321.416 * * [misc]simplify: Extracting #6: cost 3 inf + 7815 1554304321.418 * * [misc]simplify: Extracting #7: cost 0 inf + 9308 1554304321.421 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)) 1554304321.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)))) 1554304321.421 * * * * [misc]progress: [ 144 / 260 ] simplifiying candidate # 1554304321.421 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554304321.421 * * [misc]simplify: iters left: 6 (8 enodes) 1554304321.427 * * [misc]simplify: iters left: 5 (26 enodes) 1554304321.435 * * [misc]simplify: iters left: 4 (28 enodes) 1554304321.442 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.442 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304321.443 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304321.443 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304321.443 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304321.443 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304321.443 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304321.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304321.444 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304321.444 * * [misc]simplify: iters left: 6 (16 enodes) 1554304321.452 * * [misc]simplify: iters left: 5 (58 enodes) 1554304321.469 * * [misc]simplify: iters left: 4 (72 enodes) 1554304321.490 * * [misc]simplify: iters left: 3 (83 enodes) 1554304321.516 * * [misc]simplify: iters left: 2 (108 enodes) 1554304321.541 * * [misc]simplify: iters left: 1 (123 enodes) 1554304321.556 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.556 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304321.556 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304321.556 * * [misc]simplify: Extracting #3: cost 31 inf + 85 1554304321.557 * * [misc]simplify: Extracting #4: cost 27 inf + 293 1554304321.557 * * [misc]simplify: Extracting #5: cost 13 inf + 3573 1554304321.560 * * [misc]simplify: Extracting #6: cost 3 inf + 7815 1554304321.562 * * [misc]simplify: Extracting #7: cost 0 inf + 9308 1554304321.565 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)) 1554304321.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ (- k) 2))) (sqrt k)))) 1554304321.565 * * * * [misc]progress: [ 145 / 260 ] simplifiying candidate # 1554304321.565 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (pow PI 1/2))) 1554304321.565 * * [misc]simplify: iters left: 6 (11 enodes) 1554304321.572 * * [misc]simplify: iters left: 5 (40 enodes) 1554304321.584 * * [misc]simplify: iters left: 4 (47 enodes) 1554304321.597 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.597 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304321.597 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304321.597 * * [misc]simplify: Extracting #3: cost 9 inf + 167 1554304321.597 * * [misc]simplify: Extracting #4: cost 6 inf + 251 1554304321.598 * * [misc]simplify: Extracting #5: cost 0 inf + 825 1554304321.598 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1554304321.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304321.599 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304321.599 * * [misc]simplify: iters left: 6 (12 enodes) 1554304321.605 * * [misc]simplify: iters left: 5 (41 enodes) 1554304321.616 * * [misc]simplify: iters left: 4 (48 enodes) 1554304321.630 * * [misc]simplify: iters left: 3 (50 enodes) 1554304321.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.643 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304321.644 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304321.644 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1554304321.644 * * [misc]simplify: Extracting #4: cost 17 inf + 291 1554304321.644 * * [misc]simplify: Extracting #5: cost 10 inf + 1537 1554304321.645 * * [misc]simplify: Extracting #6: cost 2 inf + 4492 1554304321.646 * * [misc]simplify: Extracting #7: cost 0 inf + 5820 1554304321.647 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ k 2))) 1554304321.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ k 2))))) 1554304321.647 * * * * [misc]progress: [ 146 / 260 ] simplifiying candidate # 1554304321.648 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304321.648 * * [misc]simplify: iters left: 6 (18 enodes) 1554304321.653 * * [misc]simplify: iters left: 5 (64 enodes) 1554304321.664 * * [misc]simplify: iters left: 4 (88 enodes) 1554304321.677 * * [misc]simplify: iters left: 3 (117 enodes) 1554304321.706 * * [misc]simplify: iters left: 2 (130 enodes) 1554304321.725 * * [misc]simplify: iters left: 1 (133 enodes) 1554304321.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.741 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554304321.741 * * [misc]simplify: Extracting #2: cost 38 inf + 0 1554304321.741 * * [misc]simplify: Extracting #3: cost 46 inf + 1 1554304321.741 * * [misc]simplify: Extracting #4: cost 46 inf + 327 1554304321.742 * * [misc]simplify: Extracting #5: cost 24 inf + 7115 1554304321.746 * * [misc]simplify: Extracting #6: cost 4 inf + 18662 1554304321.748 * * [misc]simplify: Extracting #7: cost 0 inf + 21102 1554304321.751 * * [misc]simplify: Extracting #8: cost 0 inf + 21062 1554304321.753 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1554304321.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304321.754 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.754 * * [misc]simplify: iters left: 6 (15 enodes) 1554304321.757 * * [misc]simplify: iters left: 5 (51 enodes) 1554304321.765 * * [misc]simplify: iters left: 4 (63 enodes) 1554304321.779 * * [misc]simplify: iters left: 3 (67 enodes) 1554304321.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.798 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304321.798 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304321.798 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304321.799 * * [misc]simplify: Extracting #4: cost 23 inf + 370 1554304321.799 * * [misc]simplify: Extracting #5: cost 16 inf + 1287 1554304321.800 * * [misc]simplify: Extracting #6: cost 8 inf + 3617 1554304321.801 * * [misc]simplify: Extracting #7: cost 0 inf + 8535 1554304321.803 * [exit]simplify: Simplified to (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304321.803 * * * * [misc]progress: [ 147 / 260 ] simplifiying candidate # 1554304321.804 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.804 * * [misc]simplify: iters left: 6 (17 enodes) 1554304321.812 * * [misc]simplify: iters left: 5 (59 enodes) 1554304321.830 * * [misc]simplify: iters left: 4 (76 enodes) 1554304321.853 * * [misc]simplify: iters left: 3 (90 enodes) 1554304321.882 * * [misc]simplify: iters left: 2 (92 enodes) 1554304321.904 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.904 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304321.904 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554304321.904 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554304321.904 * * [misc]simplify: Extracting #4: cost 33 inf + 368 1554304321.904 * * [misc]simplify: Extracting #5: cost 26 inf + 1112 1554304321.905 * * [misc]simplify: Extracting #6: cost 6 inf + 8786 1554304321.906 * * [misc]simplify: Extracting #7: cost 0 inf + 12336 1554304321.908 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304321.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304321.908 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.908 * * [misc]simplify: iters left: 6 (15 enodes) 1554304321.912 * * [misc]simplify: iters left: 5 (51 enodes) 1554304321.920 * * [misc]simplify: iters left: 4 (63 enodes) 1554304321.929 * * [misc]simplify: iters left: 3 (67 enodes) 1554304321.938 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.938 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304321.938 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304321.938 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304321.938 * * [misc]simplify: Extracting #4: cost 23 inf + 370 1554304321.938 * * [misc]simplify: Extracting #5: cost 16 inf + 1287 1554304321.939 * * [misc]simplify: Extracting #6: cost 8 inf + 3537 1554304321.939 * * [misc]simplify: Extracting #7: cost 0 inf + 8215 1554304321.940 * [exit]simplify: Simplified to (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304321.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304321.940 * * * * [misc]progress: [ 148 / 260 ] simplifiying candidate # 1554304321.941 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304321.941 * * [misc]simplify: iters left: 6 (13 enodes) 1554304321.944 * * [misc]simplify: iters left: 5 (45 enodes) 1554304321.958 * * [misc]simplify: iters left: 4 (60 enodes) 1554304321.978 * * [misc]simplify: iters left: 3 (69 enodes) 1554304321.998 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304321.998 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304321.998 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304321.998 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304321.998 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1554304321.998 * * [misc]simplify: Extracting #5: cost 13 inf + 535 1554304321.999 * * [misc]simplify: Extracting #6: cost 0 inf + 3631 1554304322.000 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304322.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304322.001 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304322.001 * * [misc]simplify: iters left: 6 (14 enodes) 1554304322.007 * * [misc]simplify: iters left: 5 (50 enodes) 1554304322.022 * * [misc]simplify: iters left: 4 (66 enodes) 1554304322.042 * * [misc]simplify: iters left: 3 (79 enodes) 1554304322.066 * * [misc]simplify: iters left: 2 (104 enodes) 1554304322.098 * * [misc]simplify: iters left: 1 (120 enodes) 1554304322.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.128 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304322.128 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554304322.128 * * [misc]simplify: Extracting #3: cost 30 inf + 3 1554304322.128 * * [misc]simplify: Extracting #4: cost 26 inf + 332 1554304322.129 * * [misc]simplify: Extracting #5: cost 20 inf + 1077 1554304322.130 * * [misc]simplify: Extracting #6: cost 7 inf + 6223 1554304322.132 * * [misc]simplify: Extracting #7: cost 0 inf + 9461 1554304322.137 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304322.137 * [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)))))) 1554304322.137 * * * * [misc]progress: [ 149 / 260 ] simplifiying candidate # 1554304322.137 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304322.138 * * [misc]simplify: iters left: 6 (13 enodes) 1554304322.145 * * [misc]simplify: iters left: 5 (45 enodes) 1554304322.154 * * [misc]simplify: iters left: 4 (60 enodes) 1554304322.163 * * [misc]simplify: iters left: 3 (69 enodes) 1554304322.172 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.172 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304322.172 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304322.172 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304322.172 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1554304322.172 * * [misc]simplify: Extracting #5: cost 13 inf + 535 1554304322.173 * * [misc]simplify: Extracting #6: cost 0 inf + 3631 1554304322.173 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304322.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304322.173 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304322.174 * * [misc]simplify: iters left: 6 (14 enodes) 1554304322.177 * * [misc]simplify: iters left: 5 (50 enodes) 1554304322.191 * * [misc]simplify: iters left: 4 (66 enodes) 1554304322.201 * * [misc]simplify: iters left: 3 (79 enodes) 1554304322.213 * * [misc]simplify: iters left: 2 (104 enodes) 1554304322.238 * * [misc]simplify: iters left: 1 (120 enodes) 1554304322.252 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.252 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304322.252 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554304322.252 * * [misc]simplify: Extracting #3: cost 30 inf + 3 1554304322.253 * * [misc]simplify: Extracting #4: cost 26 inf + 332 1554304322.253 * * [misc]simplify: Extracting #5: cost 20 inf + 1077 1554304322.254 * * [misc]simplify: Extracting #6: cost 7 inf + 6223 1554304322.255 * * [misc]simplify: Extracting #7: cost 0 inf + 9461 1554304322.256 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554304322.256 * [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)))))) 1554304322.256 * * * * [misc]progress: [ 150 / 260 ] simplifiying candidate # 1554304322.256 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304322.256 * * [misc]simplify: iters left: 6 (16 enodes) 1554304322.260 * * [misc]simplify: iters left: 5 (59 enodes) 1554304322.278 * * [misc]simplify: iters left: 4 (82 enodes) 1554304322.299 * * [misc]simplify: iters left: 3 (111 enodes) 1554304322.317 * * [misc]simplify: iters left: 2 (157 enodes) 1554304322.351 * * [misc]simplify: iters left: 1 (196 enodes) 1554304322.386 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.386 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554304322.386 * * [misc]simplify: Extracting #2: cost 39 inf + 1 1554304322.387 * * [misc]simplify: Extracting #3: cost 40 inf + 45 1554304322.387 * * [misc]simplify: Extracting #4: cost 35 inf + 817 1554304322.388 * * [misc]simplify: Extracting #5: cost 14 inf + 6278 1554304322.389 * * [misc]simplify: Extracting #6: cost 0 inf + 11190 1554304322.391 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1554304322.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))))) 1554304322.392 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))) 1554304322.392 * * [misc]simplify: iters left: 6 (12 enodes) 1554304322.395 * * [misc]simplify: iters left: 5 (40 enodes) 1554304322.401 * * [misc]simplify: iters left: 4 (50 enodes) 1554304322.410 * * [misc]simplify: iters left: 3 (54 enodes) 1554304322.425 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.425 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304322.425 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304322.425 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1554304322.425 * * [misc]simplify: Extracting #4: cost 17 inf + 412 1554304322.426 * * [misc]simplify: Extracting #5: cost 9 inf + 2536 1554304322.427 * * [misc]simplify: Extracting #6: cost 3 inf + 4443 1554304322.428 * * [misc]simplify: Extracting #7: cost 0 inf + 6144 1554304322.429 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (pow PI (/ k 2)))) 1554304322.429 * [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))) (* (cbrt (sqrt k)) (pow PI (/ k 2)))))) 1554304322.429 * * * * [misc]progress: [ 151 / 260 ] simplifiying candidate # 1554304322.430 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304322.430 * * [misc]simplify: iters left: 6 (17 enodes) 1554304322.438 * * [misc]simplify: iters left: 5 (59 enodes) 1554304322.457 * * [misc]simplify: iters left: 4 (76 enodes) 1554304322.476 * * [misc]simplify: iters left: 3 (87 enodes) 1554304322.488 * * [misc]simplify: iters left: 2 (90 enodes) 1554304322.500 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.500 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554304322.500 * * [misc]simplify: Extracting #2: cost 24 inf + 0 1554304322.500 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554304322.500 * * [misc]simplify: Extracting #4: cost 34 inf + 167 1554304322.501 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554304322.501 * * [misc]simplify: Extracting #6: cost 18 inf + 2671 1554304322.502 * * [misc]simplify: Extracting #7: cost 5 inf + 10040 1554304322.503 * * [misc]simplify: Extracting #8: cost 1 inf + 12813 1554304322.505 * * [misc]simplify: Extracting #9: cost 0 inf + 13348 1554304322.508 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304322.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304322.508 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304322.509 * * [misc]simplify: iters left: 6 (15 enodes) 1554304322.516 * * [misc]simplify: iters left: 5 (51 enodes) 1554304322.533 * * [misc]simplify: iters left: 4 (63 enodes) 1554304322.551 * * [misc]simplify: iters left: 3 (67 enodes) 1554304322.571 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.571 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304322.571 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304322.572 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304322.572 * * [misc]simplify: Extracting #4: cost 23 inf + 290 1554304322.572 * * [misc]simplify: Extracting #5: cost 16 inf + 1207 1554304322.573 * * [misc]simplify: Extracting #6: cost 8 inf + 3497 1554304322.575 * * [misc]simplify: Extracting #7: cost 0 inf + 8215 1554304322.576 * [exit]simplify: Simplified to (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304322.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304322.577 * * * * [misc]progress: [ 152 / 260 ] simplifiying candidate # 1554304322.577 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304322.577 * * [misc]simplify: iters left: 6 (16 enodes) 1554304322.585 * * [misc]simplify: iters left: 5 (54 enodes) 1554304322.603 * * [misc]simplify: iters left: 4 (66 enodes) 1554304322.622 * * [misc]simplify: iters left: 3 (70 enodes) 1554304322.642 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.642 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304322.642 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304322.642 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304322.642 * * [misc]simplify: Extracting #4: cost 25 inf + 248 1554304322.642 * * [misc]simplify: Extracting #5: cost 19 inf + 540 1554304322.643 * * [misc]simplify: Extracting #6: cost 10 inf + 2671 1554304322.644 * * [misc]simplify: Extracting #7: cost 1 inf + 7278 1554304322.646 * * [misc]simplify: Extracting #8: cost 0 inf + 7904 1554304322.648 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1554304322.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304322.648 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304322.649 * * [misc]simplify: iters left: 6 (15 enodes) 1554304322.657 * * [misc]simplify: iters left: 5 (51 enodes) 1554304322.665 * * [misc]simplify: iters left: 4 (63 enodes) 1554304322.676 * * [misc]simplify: iters left: 3 (67 enodes) 1554304322.686 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.686 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304322.686 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304322.686 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304322.686 * * [misc]simplify: Extracting #4: cost 23 inf + 290 1554304322.686 * * [misc]simplify: Extracting #5: cost 16 inf + 1207 1554304322.686 * * [misc]simplify: Extracting #6: cost 8 inf + 3417 1554304322.687 * * [misc]simplify: Extracting #7: cost 0 inf + 7895 1554304322.688 * [exit]simplify: Simplified to (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304322.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304322.688 * * * * [misc]progress: [ 153 / 260 ] simplifiying candidate # 1554304322.688 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1) 1554304322.688 * * [misc]simplify: iters left: 6 (12 enodes) 1554304322.692 * * [misc]simplify: iters left: 5 (40 enodes) 1554304322.700 * * [misc]simplify: iters left: 4 (50 enodes) 1554304322.716 * * [misc]simplify: iters left: 3 (55 enodes) 1554304322.730 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.730 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304322.730 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304322.730 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554304322.730 * * [misc]simplify: Extracting #4: cost 14 inf + 86 1554304322.730 * * [misc]simplify: Extracting #5: cost 11 inf + 290 1554304322.731 * * [misc]simplify: Extracting #6: cost 5 inf + 663 1554304322.731 * * [misc]simplify: Extracting #7: cost 1 inf + 1747 1554304322.732 * * [misc]simplify: Extracting #8: cost 0 inf + 2161 1554304322.733 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304322.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304322.733 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304322.733 * * [misc]simplify: iters left: 6 (14 enodes) 1554304322.740 * * [misc]simplify: iters left: 5 (50 enodes) 1554304322.756 * * [misc]simplify: iters left: 4 (66 enodes) 1554304322.767 * * [misc]simplify: iters left: 3 (79 enodes) 1554304322.779 * * [misc]simplify: iters left: 2 (104 enodes) 1554304322.800 * * [misc]simplify: iters left: 1 (120 enodes) 1554304322.829 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.829 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304322.829 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554304322.829 * * [misc]simplify: Extracting #3: cost 30 inf + 3 1554304322.829 * * [misc]simplify: Extracting #4: cost 26 inf + 292 1554304322.830 * * [misc]simplify: Extracting #5: cost 20 inf + 997 1554304322.831 * * [misc]simplify: Extracting #6: cost 7 inf + 5903 1554304322.833 * * [misc]simplify: Extracting #7: cost 0 inf + 8981 1554304322.836 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304322.836 * [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)))))) 1554304322.837 * * * * [misc]progress: [ 154 / 260 ] simplifiying candidate # 1554304322.838 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1) 1554304322.838 * * [misc]simplify: iters left: 6 (12 enodes) 1554304322.844 * * [misc]simplify: iters left: 5 (40 enodes) 1554304322.857 * * [misc]simplify: iters left: 4 (50 enodes) 1554304322.872 * * [misc]simplify: iters left: 3 (55 enodes) 1554304322.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.886 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304322.886 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304322.886 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554304322.886 * * [misc]simplify: Extracting #4: cost 14 inf + 86 1554304322.887 * * [misc]simplify: Extracting #5: cost 11 inf + 290 1554304322.887 * * [misc]simplify: Extracting #6: cost 5 inf + 663 1554304322.887 * * [misc]simplify: Extracting #7: cost 1 inf + 1747 1554304322.888 * * [misc]simplify: Extracting #8: cost 0 inf + 2161 1554304322.889 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304322.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304322.889 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304322.890 * * [misc]simplify: iters left: 6 (14 enodes) 1554304322.897 * * [misc]simplify: iters left: 5 (50 enodes) 1554304322.913 * * [misc]simplify: iters left: 4 (66 enodes) 1554304322.932 * * [misc]simplify: iters left: 3 (79 enodes) 1554304322.944 * * [misc]simplify: iters left: 2 (104 enodes) 1554304322.959 * * [misc]simplify: iters left: 1 (120 enodes) 1554304322.986 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304322.986 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304322.987 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554304322.987 * * [misc]simplify: Extracting #3: cost 30 inf + 3 1554304322.987 * * [misc]simplify: Extracting #4: cost 26 inf + 292 1554304322.987 * * [misc]simplify: Extracting #5: cost 20 inf + 997 1554304322.989 * * [misc]simplify: Extracting #6: cost 7 inf + 5903 1554304322.991 * * [misc]simplify: Extracting #7: cost 0 inf + 8981 1554304322.993 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554304322.993 * [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)))))) 1554304322.994 * * * * [misc]progress: [ 155 / 260 ] simplifiying candidate # 1554304322.994 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI 1/2))) 1554304322.994 * * [misc]simplify: iters left: 6 (15 enodes) 1554304323.001 * * [misc]simplify: iters left: 5 (54 enodes) 1554304323.018 * * [misc]simplify: iters left: 4 (70 enodes) 1554304323.042 * * [misc]simplify: iters left: 3 (83 enodes) 1554304323.068 * * [misc]simplify: iters left: 2 (108 enodes) 1554304323.083 * * [misc]simplify: iters left: 1 (123 enodes) 1554304323.098 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.098 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304323.098 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304323.099 * * [misc]simplify: Extracting #3: cost 27 inf + 127 1554304323.099 * * [misc]simplify: Extracting #4: cost 23 inf + 859 1554304323.099 * * [misc]simplify: Extracting #5: cost 17 inf + 1310 1554304323.100 * * [misc]simplify: Extracting #6: cost 3 inf + 5010 1554304323.101 * * [misc]simplify: Extracting #7: cost 0 inf + 6294 1554304323.103 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1554304323.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))))) 1554304323.104 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))) 1554304323.104 * * [misc]simplify: iters left: 6 (12 enodes) 1554304323.110 * * [misc]simplify: iters left: 5 (40 enodes) 1554304323.122 * * [misc]simplify: iters left: 4 (50 enodes) 1554304323.137 * * [misc]simplify: iters left: 3 (54 enodes) 1554304323.149 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.149 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304323.149 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304323.149 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1554304323.149 * * [misc]simplify: Extracting #4: cost 17 inf + 332 1554304323.150 * * [misc]simplify: Extracting #5: cost 9 inf + 2376 1554304323.150 * * [misc]simplify: Extracting #6: cost 3 inf + 4203 1554304323.152 * * [misc]simplify: Extracting #7: cost 0 inf + 5824 1554304323.152 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) 1554304323.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))))) 1554304323.153 * * * * [misc]progress: [ 156 / 260 ] simplifiying candidate # 1554304323.153 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304323.153 * * [misc]simplify: iters left: 6 (15 enodes) 1554304323.157 * * [misc]simplify: iters left: 5 (51 enodes) 1554304323.165 * * [misc]simplify: iters left: 4 (64 enodes) 1554304323.176 * * [misc]simplify: iters left: 3 (71 enodes) 1554304323.195 * * [misc]simplify: iters left: 2 (72 enodes) 1554304323.204 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.204 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304323.204 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304323.204 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554304323.204 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554304323.204 * * [misc]simplify: Extracting #5: cost 16 inf + 379 1554304323.205 * * [misc]simplify: Extracting #6: cost 6 inf + 3379 1554304323.205 * * [misc]simplify: Extracting #7: cost 0 inf + 6832 1554304323.206 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304323.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304323.206 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304323.206 * * [misc]simplify: iters left: 6 (14 enodes) 1554304323.210 * * [misc]simplify: iters left: 5 (48 enodes) 1554304323.217 * * [misc]simplify: iters left: 4 (60 enodes) 1554304323.226 * * [misc]simplify: iters left: 3 (64 enodes) 1554304323.235 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.235 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304323.235 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304323.235 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1554304323.235 * * [misc]simplify: Extracting #4: cost 23 inf + 128 1554304323.235 * * [misc]simplify: Extracting #5: cost 17 inf + 752 1554304323.236 * * [misc]simplify: Extracting #6: cost 3 inf + 6158 1554304323.236 * * [misc]simplify: Extracting #7: cost 0 inf + 7813 1554304323.237 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))) 1554304323.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))) 1554304323.237 * * * * [misc]progress: [ 157 / 260 ] simplifiying candidate # 1554304323.238 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304323.238 * * [misc]simplify: iters left: 6 (14 enodes) 1554304323.243 * * [misc]simplify: iters left: 5 (46 enodes) 1554304323.250 * * [misc]simplify: iters left: 4 (55 enodes) 1554304323.258 * * [misc]simplify: iters left: 3 (60 enodes) 1554304323.265 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.265 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304323.265 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304323.266 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554304323.266 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554304323.266 * * [misc]simplify: Extracting #5: cost 17 inf + 47 1554304323.266 * * [misc]simplify: Extracting #6: cost 12 inf + 377 1554304323.266 * * [misc]simplify: Extracting #7: cost 2 inf + 3389 1554304323.267 * * [misc]simplify: Extracting #8: cost 0 inf + 4350 1554304323.267 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304323.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304323.267 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304323.268 * * [misc]simplify: iters left: 6 (14 enodes) 1554304323.272 * * [misc]simplify: iters left: 5 (48 enodes) 1554304323.279 * * [misc]simplify: iters left: 4 (60 enodes) 1554304323.288 * * [misc]simplify: iters left: 3 (64 enodes) 1554304323.297 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.298 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304323.298 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304323.298 * * [misc]simplify: Extracting #3: cost 21 inf + 84 1554304323.298 * * [misc]simplify: Extracting #4: cost 23 inf + 128 1554304323.298 * * [misc]simplify: Extracting #5: cost 17 inf + 752 1554304323.298 * * [misc]simplify: Extracting #6: cost 3 inf + 5958 1554304323.299 * * [misc]simplify: Extracting #7: cost 0 inf + 7493 1554304323.300 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))) 1554304323.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))) 1554304323.300 * * * * [misc]progress: [ 158 / 260 ] simplifiying candidate # 1554304323.300 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) 1) 1554304323.301 * * [misc]simplify: iters left: 6 (10 enodes) 1554304323.304 * * [misc]simplify: iters left: 5 (30 enodes) 1554304323.310 * * [misc]simplify: iters left: 4 (39 enodes) 1554304323.315 * * [misc]simplify: iters left: 3 (41 enodes) 1554304323.322 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.322 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304323.322 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554304323.322 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554304323.322 * * [misc]simplify: Extracting #4: cost 9 inf + 46 1554304323.322 * * [misc]simplify: Extracting #5: cost 3 inf + 419 1554304323.323 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554304323.323 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304323.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304323.323 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304323.323 * * [misc]simplify: iters left: 6 (13 enodes) 1554304323.327 * * [misc]simplify: iters left: 5 (47 enodes) 1554304323.334 * * [misc]simplify: iters left: 4 (63 enodes) 1554304323.343 * * [misc]simplify: iters left: 3 (76 enodes) 1554304323.356 * * [misc]simplify: iters left: 2 (101 enodes) 1554304323.385 * * [misc]simplify: iters left: 1 (117 enodes) 1554304323.406 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.406 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304323.406 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304323.406 * * [misc]simplify: Extracting #3: cost 25 inf + 86 1554304323.406 * * [misc]simplify: Extracting #4: cost 26 inf + 129 1554304323.406 * * [misc]simplify: Extracting #5: cost 20 inf + 1086 1554304323.407 * * [misc]simplify: Extracting #6: cost 5 inf + 6130 1554304323.408 * * [misc]simplify: Extracting #7: cost 0 inf + 8419 1554304323.409 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1554304323.409 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1554304323.409 * * * * [misc]progress: [ 159 / 260 ] simplifiying candidate # 1554304323.409 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) 1) 1554304323.409 * * [misc]simplify: iters left: 6 (10 enodes) 1554304323.412 * * [misc]simplify: iters left: 5 (30 enodes) 1554304323.419 * * [misc]simplify: iters left: 4 (39 enodes) 1554304323.424 * * [misc]simplify: iters left: 3 (41 enodes) 1554304323.430 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.430 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304323.430 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554304323.430 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554304323.430 * * [misc]simplify: Extracting #4: cost 9 inf + 46 1554304323.430 * * [misc]simplify: Extracting #5: cost 3 inf + 419 1554304323.430 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554304323.430 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304323.430 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304323.431 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304323.431 * * [misc]simplify: iters left: 6 (13 enodes) 1554304323.435 * * [misc]simplify: iters left: 5 (47 enodes) 1554304323.450 * * [misc]simplify: iters left: 4 (63 enodes) 1554304323.470 * * [misc]simplify: iters left: 3 (76 enodes) 1554304323.491 * * [misc]simplify: iters left: 2 (101 enodes) 1554304323.506 * * [misc]simplify: iters left: 1 (117 enodes) 1554304323.527 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.527 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304323.527 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304323.527 * * [misc]simplify: Extracting #3: cost 25 inf + 86 1554304323.527 * * [misc]simplify: Extracting #4: cost 26 inf + 129 1554304323.528 * * [misc]simplify: Extracting #5: cost 20 inf + 1086 1554304323.529 * * [misc]simplify: Extracting #6: cost 5 inf + 6130 1554304323.531 * * [misc]simplify: Extracting #7: cost 0 inf + 8419 1554304323.533 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1554304323.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1554304323.533 * * * * [misc]progress: [ 160 / 260 ] simplifiying candidate # 1554304323.534 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (pow PI 1/2))) 1554304323.534 * * [misc]simplify: iters left: 6 (13 enodes) 1554304323.541 * * [misc]simplify: iters left: 5 (45 enodes) 1554304323.555 * * [misc]simplify: iters left: 4 (57 enodes) 1554304323.570 * * [misc]simplify: iters left: 3 (61 enodes) 1554304323.584 * * [misc]simplify: iters left: 2 (64 enodes) 1554304323.596 * * [misc]simplify: iters left: 1 (65 enodes) 1554304323.605 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.605 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304323.605 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304323.605 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1554304323.605 * * [misc]simplify: Extracting #4: cost 16 inf + 168 1554304323.605 * * [misc]simplify: Extracting #5: cost 13 inf + 293 1554304323.605 * * [misc]simplify: Extracting #6: cost 8 inf + 623 1554304323.606 * * [misc]simplify: Extracting #7: cost 2 inf + 2086 1554304323.606 * * [misc]simplify: Extracting #8: cost 0 inf + 2756 1554304323.607 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1554304323.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304323.607 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304323.607 * * [misc]simplify: iters left: 6 (11 enodes) 1554304323.610 * * [misc]simplify: iters left: 5 (37 enodes) 1554304323.615 * * [misc]simplify: iters left: 4 (47 enodes) 1554304323.622 * * [misc]simplify: iters left: 3 (51 enodes) 1554304323.629 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.629 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304323.629 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304323.629 * * [misc]simplify: Extracting #3: cost 18 inf + 85 1554304323.629 * * [misc]simplify: Extracting #4: cost 15 inf + 796 1554304323.630 * * [misc]simplify: Extracting #5: cost 7 inf + 2550 1554304323.630 * * [misc]simplify: Extracting #6: cost 1 inf + 5049 1554304323.631 * * [misc]simplify: Extracting #7: cost 0 inf + 5422 1554304323.631 * [exit]simplify: Simplified to (/ (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt k)) 1554304323.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt k)))) 1554304323.631 * * * * [misc]progress: [ 161 / 260 ] simplifiying candidate # 1554304323.632 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304323.632 * * [misc]simplify: iters left: 6 (21 enodes) 1554304323.638 * * [misc]simplify: iters left: 5 (78 enodes) 1554304323.651 * * [misc]simplify: iters left: 4 (129 enodes) 1554304323.677 * * [misc]simplify: iters left: 3 (224 enodes) 1554304323.750 * * [misc]simplify: iters left: 2 (360 enodes) 1554304323.844 * * [misc]simplify: iters left: 1 (418 enodes) 1554304323.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304323.973 * * [misc]simplify: Extracting #1: cost 35 inf + 0 1554304323.974 * * [misc]simplify: Extracting #2: cost 71 inf + 0 1554304323.974 * * [misc]simplify: Extracting #3: cost 79 inf + 0 1554304323.975 * * [misc]simplify: Extracting #4: cost 86 inf + 2 1554304323.976 * * [misc]simplify: Extracting #5: cost 80 inf + 491 1554304323.977 * * [misc]simplify: Extracting #6: cost 71 inf + 2027 1554304323.979 * * [misc]simplify: Extracting #7: cost 52 inf + 9806 1554304323.986 * * [misc]simplify: Extracting #8: cost 28 inf + 28687 1554304324.005 * * [misc]simplify: Extracting #9: cost 3 inf + 49180 1554304324.023 * * [misc]simplify: Extracting #10: cost 0 inf + 51978 1554304324.042 * * [misc]simplify: Extracting #11: cost 0 inf + 51938 1554304324.059 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304324.059 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304324.060 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304324.060 * * [misc]simplify: iters left: 6 (18 enodes) 1554304324.069 * * [misc]simplify: iters left: 5 (61 enodes) 1554304324.088 * * [misc]simplify: iters left: 4 (73 enodes) 1554304324.109 * * [misc]simplify: iters left: 3 (77 enodes) 1554304324.126 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.126 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304324.126 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304324.126 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304324.126 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304324.126 * * [misc]simplify: Extracting #5: cost 26 inf + 372 1554304324.126 * * [misc]simplify: Extracting #6: cost 11 inf + 3944 1554304324.127 * * [misc]simplify: Extracting #7: cost 2 inf + 8736 1554304324.128 * * [misc]simplify: Extracting #8: cost 0 inf + 10256 1554304324.129 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304324.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304324.129 * * * * [misc]progress: [ 162 / 260 ] simplifiying candidate # 1554304324.129 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304324.130 * * [misc]simplify: iters left: 6 (20 enodes) 1554304324.135 * * [misc]simplify: iters left: 5 (73 enodes) 1554304324.147 * * [misc]simplify: iters left: 4 (111 enodes) 1554304324.165 * * [misc]simplify: iters left: 3 (158 enodes) 1554304324.190 * * [misc]simplify: iters left: 2 (204 enodes) 1554304324.235 * * [misc]simplify: iters left: 1 (223 enodes) 1554304324.272 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.272 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554304324.272 * * [misc]simplify: Extracting #2: cost 47 inf + 0 1554304324.272 * * [misc]simplify: Extracting #3: cost 55 inf + 0 1554304324.272 * * [misc]simplify: Extracting #4: cost 62 inf + 2 1554304324.272 * * [misc]simplify: Extracting #5: cost 55 inf + 652 1554304324.273 * * [misc]simplify: Extracting #6: cost 44 inf + 2856 1554304324.274 * * [misc]simplify: Extracting #7: cost 27 inf + 10380 1554304324.276 * * [misc]simplify: Extracting #8: cost 12 inf + 21061 1554304324.280 * * [misc]simplify: Extracting #9: cost 0 inf + 30820 1554304324.289 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304324.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304324.290 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304324.290 * * [misc]simplify: iters left: 6 (18 enodes) 1554304324.299 * * [misc]simplify: iters left: 5 (61 enodes) 1554304324.317 * * [misc]simplify: iters left: 4 (73 enodes) 1554304324.336 * * [misc]simplify: iters left: 3 (77 enodes) 1554304324.347 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.347 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304324.347 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304324.347 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304324.347 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304324.347 * * [misc]simplify: Extracting #5: cost 26 inf + 372 1554304324.347 * * [misc]simplify: Extracting #6: cost 11 inf + 3864 1554304324.348 * * [misc]simplify: Extracting #7: cost 2 inf + 8456 1554304324.349 * * [misc]simplify: Extracting #8: cost 0 inf + 9936 1554304324.350 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304324.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304324.350 * * * * [misc]progress: [ 163 / 260 ] simplifiying candidate # 1554304324.350 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304324.351 * * [misc]simplify: iters left: 6 (16 enodes) 1554304324.355 * * [misc]simplify: iters left: 5 (59 enodes) 1554304324.365 * * [misc]simplify: iters left: 4 (95 enodes) 1554304324.395 * * [misc]simplify: iters left: 3 (122 enodes) 1554304324.415 * * [misc]simplify: iters left: 2 (143 enodes) 1554304324.437 * * [misc]simplify: iters left: 1 (146 enodes) 1554304324.465 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.465 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304324.465 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554304324.465 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554304324.465 * * [misc]simplify: Extracting #4: cost 35 inf + 2 1554304324.465 * * [misc]simplify: Extracting #5: cost 30 inf + 411 1554304324.466 * * [misc]simplify: Extracting #6: cost 17 inf + 3046 1554304324.467 * * [misc]simplify: Extracting #7: cost 3 inf + 10031 1554304324.469 * * [misc]simplify: Extracting #8: cost 0 inf + 11753 1554304324.471 * [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)))) 1554304324.471 * [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)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304324.471 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304324.471 * * [misc]simplify: iters left: 6 (17 enodes) 1554304324.475 * * [misc]simplify: iters left: 5 (60 enodes) 1554304324.484 * * [misc]simplify: iters left: 4 (76 enodes) 1554304324.497 * * [misc]simplify: iters left: 3 (89 enodes) 1554304324.526 * * [misc]simplify: iters left: 2 (114 enodes) 1554304324.542 * * [misc]simplify: iters left: 1 (131 enodes) 1554304324.562 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.562 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304324.562 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304324.562 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304324.563 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304324.563 * * [misc]simplify: Extracting #5: cost 30 inf + 413 1554304324.564 * * [misc]simplify: Extracting #6: cost 6 inf + 8410 1554304324.567 * * [misc]simplify: Extracting #7: cost 0 inf + 11666 1554304324.570 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304324.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304324.571 * * * * [misc]progress: [ 164 / 260 ] simplifiying candidate # 1554304324.571 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304324.571 * * [misc]simplify: iters left: 6 (16 enodes) 1554304324.580 * * [misc]simplify: iters left: 5 (59 enodes) 1554304324.597 * * [misc]simplify: iters left: 4 (95 enodes) 1554304324.611 * * [misc]simplify: iters left: 3 (122 enodes) 1554304324.635 * * [misc]simplify: iters left: 2 (143 enodes) 1554304324.673 * * [misc]simplify: iters left: 1 (146 enodes) 1554304324.698 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.698 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304324.698 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554304324.699 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554304324.699 * * [misc]simplify: Extracting #4: cost 35 inf + 2 1554304324.699 * * [misc]simplify: Extracting #5: cost 30 inf + 411 1554304324.699 * * [misc]simplify: Extracting #6: cost 17 inf + 3046 1554304324.701 * * [misc]simplify: Extracting #7: cost 3 inf + 10031 1554304324.702 * * [misc]simplify: Extracting #8: cost 0 inf + 11753 1554304324.704 * [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)))) 1554304324.704 * [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)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304324.705 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304324.705 * * [misc]simplify: iters left: 6 (17 enodes) 1554304324.709 * * [misc]simplify: iters left: 5 (60 enodes) 1554304324.721 * * [misc]simplify: iters left: 4 (76 enodes) 1554304324.732 * * [misc]simplify: iters left: 3 (89 enodes) 1554304324.757 * * [misc]simplify: iters left: 2 (114 enodes) 1554304324.775 * * [misc]simplify: iters left: 1 (131 enodes) 1554304324.791 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304324.792 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304324.792 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304324.792 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304324.792 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304324.792 * * [misc]simplify: Extracting #5: cost 30 inf + 413 1554304324.793 * * [misc]simplify: Extracting #6: cost 6 inf + 8410 1554304324.794 * * [misc]simplify: Extracting #7: cost 0 inf + 11666 1554304324.796 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304324.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304324.796 * * * * [misc]progress: [ 165 / 260 ] simplifiying candidate # 1554304324.796 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304324.796 * * [misc]simplify: iters left: 6 (19 enodes) 1554304324.801 * * [misc]simplify: iters left: 5 (73 enodes) 1554304324.815 * * [misc]simplify: iters left: 4 (121 enodes) 1554304324.837 * * [misc]simplify: iters left: 3 (207 enodes) 1554304324.897 * * [misc]simplify: iters left: 2 (376 enodes) 1554304325.067 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.067 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1554304325.067 * * [misc]simplify: Extracting #2: cost 90 inf + 1 1554304325.068 * * [misc]simplify: Extracting #3: cost 92 inf + 44 1554304325.069 * * [misc]simplify: Extracting #4: cost 94 inf + 250 1554304325.071 * * [misc]simplify: Extracting #5: cost 71 inf + 6408 1554304325.081 * * [misc]simplify: Extracting #6: cost 15 inf + 37257 1554304325.097 * * [misc]simplify: Extracting #7: cost 0 inf + 46024 1554304325.112 * [exit]simplify: Simplified to (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1554304325.112 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (pow PI (/ k 2))))) 1554304325.113 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (pow PI (/ k 2))) 1554304325.113 * * [misc]simplify: iters left: 6 (15 enodes) 1554304325.120 * * [misc]simplify: iters left: 5 (50 enodes) 1554304325.135 * * [misc]simplify: iters left: 4 (60 enodes) 1554304325.152 * * [misc]simplify: iters left: 3 (64 enodes) 1554304325.169 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.169 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304325.169 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304325.169 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1554304325.170 * * [misc]simplify: Extracting #4: cost 24 inf + 339 1554304325.172 * * [misc]simplify: Extracting #5: cost 16 inf + 1827 1554304325.173 * * [misc]simplify: Extracting #6: cost 7 inf + 3696 1554304325.174 * * [misc]simplify: Extracting #7: cost 0 inf + 7865 1554304325.176 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (pow PI (/ k 2)))) 1554304325.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (pow PI (/ k 2)))))) 1554304325.176 * * * * [misc]progress: [ 166 / 260 ] simplifiying candidate # 1554304325.176 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304325.177 * * [misc]simplify: iters left: 6 (20 enodes) 1554304325.184 * * [misc]simplify: iters left: 5 (71 enodes) 1554304325.195 * * [misc]simplify: iters left: 4 (100 enodes) 1554304325.210 * * [misc]simplify: iters left: 3 (149 enodes) 1554304325.247 * * [misc]simplify: iters left: 2 (201 enodes) 1554304325.282 * * [misc]simplify: iters left: 1 (216 enodes) 1554304325.338 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.339 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554304325.339 * * [misc]simplify: Extracting #2: cost 47 inf + 0 1554304325.339 * * [misc]simplify: Extracting #3: cost 55 inf + 0 1554304325.339 * * [misc]simplify: Extracting #4: cost 62 inf + 2 1554304325.340 * * [misc]simplify: Extracting #5: cost 57 inf + 250 1554304325.340 * * [misc]simplify: Extracting #6: cost 44 inf + 3363 1554304325.342 * * [misc]simplify: Extracting #7: cost 28 inf + 10179 1554304325.348 * * [misc]simplify: Extracting #8: cost 5 inf + 27990 1554304325.355 * * [misc]simplify: Extracting #9: cost 0 inf + 32680 1554304325.359 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1554304325.360 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304325.360 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304325.360 * * [misc]simplify: iters left: 6 (18 enodes) 1554304325.364 * * [misc]simplify: iters left: 5 (61 enodes) 1554304325.375 * * [misc]simplify: iters left: 4 (73 enodes) 1554304325.385 * * [misc]simplify: iters left: 3 (77 enodes) 1554304325.397 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.397 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304325.397 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304325.398 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304325.398 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304325.398 * * [misc]simplify: Extracting #5: cost 26 inf + 292 1554304325.399 * * [misc]simplify: Extracting #6: cost 11 inf + 3824 1554304325.400 * * [misc]simplify: Extracting #7: cost 2 inf + 8496 1554304325.402 * * [misc]simplify: Extracting #8: cost 0 inf + 9936 1554304325.404 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304325.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304325.404 * * * * [misc]progress: [ 167 / 260 ] simplifiying candidate # 1554304325.405 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304325.405 * * [misc]simplify: iters left: 6 (19 enodes) 1554304325.414 * * [misc]simplify: iters left: 5 (66 enodes) 1554304325.435 * * [misc]simplify: iters left: 4 (88 enodes) 1554304325.462 * * [misc]simplify: iters left: 3 (112 enodes) 1554304325.492 * * [misc]simplify: iters left: 2 (123 enodes) 1554304325.509 * * [misc]simplify: iters left: 1 (124 enodes) 1554304325.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.541 * * [misc]simplify: Extracting #1: cost 15 inf + 0 1554304325.541 * * [misc]simplify: Extracting #2: cost 31 inf + 0 1554304325.541 * * [misc]simplify: Extracting #3: cost 39 inf + 0 1554304325.541 * * [misc]simplify: Extracting #4: cost 46 inf + 2 1554304325.541 * * [misc]simplify: Extracting #5: cost 42 inf + 169 1554304325.542 * * [misc]simplify: Extracting #6: cost 27 inf + 3286 1554304325.544 * * [misc]simplify: Extracting #7: cost 14 inf + 9017 1554304325.548 * * [misc]simplify: Extracting #8: cost 1 inf + 18562 1554304325.552 * * [misc]simplify: Extracting #9: cost 0 inf + 19348 1554304325.556 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304325.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304325.557 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304325.557 * * [misc]simplify: iters left: 6 (18 enodes) 1554304325.565 * * [misc]simplify: iters left: 5 (61 enodes) 1554304325.582 * * [misc]simplify: iters left: 4 (73 enodes) 1554304325.594 * * [misc]simplify: iters left: 3 (77 enodes) 1554304325.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.606 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304325.606 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304325.606 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304325.606 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304325.607 * * [misc]simplify: Extracting #5: cost 26 inf + 292 1554304325.607 * * [misc]simplify: Extracting #6: cost 11 inf + 3744 1554304325.608 * * [misc]simplify: Extracting #7: cost 2 inf + 8216 1554304325.609 * * [misc]simplify: Extracting #8: cost 0 inf + 9616 1554304325.610 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304325.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304325.610 * * * * [misc]progress: [ 168 / 260 ] simplifiying candidate # 1554304325.610 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1) 1554304325.610 * * [misc]simplify: iters left: 6 (15 enodes) 1554304325.615 * * [misc]simplify: iters left: 5 (52 enodes) 1554304325.632 * * [misc]simplify: iters left: 4 (70 enodes) 1554304325.650 * * [misc]simplify: iters left: 3 (84 enodes) 1554304325.662 * * [misc]simplify: iters left: 2 (93 enodes) 1554304325.675 * * [misc]simplify: iters left: 1 (95 enodes) 1554304325.694 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.694 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554304325.695 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554304325.695 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304325.695 * * [misc]simplify: Extracting #4: cost 25 inf + 124 1554304325.695 * * [misc]simplify: Extracting #5: cost 22 inf + 291 1554304325.696 * * [misc]simplify: Extracting #6: cost 10 inf + 2858 1554304325.697 * * [misc]simplify: Extracting #7: cost 2 inf + 6438 1554304325.699 * * [misc]simplify: Extracting #8: cost 0 inf + 7427 1554304325.701 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304325.701 * [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))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304325.701 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304325.702 * * [misc]simplify: iters left: 6 (17 enodes) 1554304325.708 * * [misc]simplify: iters left: 5 (60 enodes) 1554304325.718 * * [misc]simplify: iters left: 4 (76 enodes) 1554304325.729 * * [misc]simplify: iters left: 3 (89 enodes) 1554304325.743 * * [misc]simplify: iters left: 2 (114 enodes) 1554304325.767 * * [misc]simplify: iters left: 1 (131 enodes) 1554304325.784 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.784 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304325.784 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304325.784 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304325.784 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304325.785 * * [misc]simplify: Extracting #5: cost 30 inf + 333 1554304325.785 * * [misc]simplify: Extracting #6: cost 6 inf + 8050 1554304325.787 * * [misc]simplify: Extracting #7: cost 0 inf + 11186 1554304325.788 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304325.788 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304325.788 * * * * [misc]progress: [ 169 / 260 ] simplifiying candidate # 1554304325.789 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1) 1554304325.789 * * [misc]simplify: iters left: 6 (15 enodes) 1554304325.793 * * [misc]simplify: iters left: 5 (52 enodes) 1554304325.803 * * [misc]simplify: iters left: 4 (70 enodes) 1554304325.823 * * [misc]simplify: iters left: 3 (84 enodes) 1554304325.844 * * [misc]simplify: iters left: 2 (93 enodes) 1554304325.870 * * [misc]simplify: iters left: 1 (95 enodes) 1554304325.892 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304325.892 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554304325.892 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554304325.892 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304325.892 * * [misc]simplify: Extracting #4: cost 25 inf + 124 1554304325.893 * * [misc]simplify: Extracting #5: cost 22 inf + 291 1554304325.893 * * [misc]simplify: Extracting #6: cost 10 inf + 2858 1554304325.895 * * [misc]simplify: Extracting #7: cost 2 inf + 6438 1554304325.897 * * [misc]simplify: Extracting #8: cost 0 inf + 7427 1554304325.899 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304325.899 * [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))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304325.900 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304325.900 * * [misc]simplify: iters left: 6 (17 enodes) 1554304325.908 * * [misc]simplify: iters left: 5 (60 enodes) 1554304325.927 * * [misc]simplify: iters left: 4 (76 enodes) 1554304325.946 * * [misc]simplify: iters left: 3 (89 enodes) 1554304325.959 * * [misc]simplify: iters left: 2 (114 enodes) 1554304325.979 * * [misc]simplify: iters left: 1 (131 enodes) 1554304326.000 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.000 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304326.000 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304326.000 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304326.001 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304326.001 * * [misc]simplify: Extracting #5: cost 30 inf + 333 1554304326.002 * * [misc]simplify: Extracting #6: cost 6 inf + 8050 1554304326.003 * * [misc]simplify: Extracting #7: cost 0 inf + 11186 1554304326.005 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304326.005 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304326.005 * * * * [misc]progress: [ 170 / 260 ] simplifiying candidate # 1554304326.005 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ 1 (pow PI 1/2))) 1554304326.005 * * [misc]simplify: iters left: 6 (18 enodes) 1554304326.010 * * [misc]simplify: iters left: 5 (66 enodes) 1554304326.022 * * [misc]simplify: iters left: 4 (94 enodes) 1554304326.036 * * [misc]simplify: iters left: 3 (140 enodes) 1554304326.062 * * [misc]simplify: iters left: 2 (230 enodes) 1554304326.140 * * [misc]simplify: iters left: 1 (305 enodes) 1554304326.229 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.229 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554304326.229 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554304326.230 * * [misc]simplify: Extracting #3: cost 44 inf + 126 1554304326.230 * * [misc]simplify: Extracting #4: cost 47 inf + 250 1554304326.230 * * [misc]simplify: Extracting #5: cost 42 inf + 901 1554304326.231 * * [misc]simplify: Extracting #6: cost 30 inf + 3336 1554304326.233 * * [misc]simplify: Extracting #7: cost 7 inf + 14072 1554304326.237 * * [misc]simplify: Extracting #8: cost 0 inf + 18018 1554304326.240 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt PI)) 1554304326.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt PI)) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow PI (/ k 2))))) 1554304326.241 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow PI (/ k 2))) 1554304326.241 * * [misc]simplify: iters left: 6 (15 enodes) 1554304326.244 * * [misc]simplify: iters left: 5 (50 enodes) 1554304326.252 * * [misc]simplify: iters left: 4 (60 enodes) 1554304326.261 * * [misc]simplify: iters left: 3 (64 enodes) 1554304326.272 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.272 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304326.272 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304326.272 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1554304326.272 * * [misc]simplify: Extracting #4: cost 24 inf + 339 1554304326.272 * * [misc]simplify: Extracting #5: cost 16 inf + 1667 1554304326.272 * * [misc]simplify: Extracting #6: cost 7 inf + 3536 1554304326.273 * * [misc]simplify: Extracting #7: cost 0 inf + 7545 1554304326.274 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) 1554304326.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt PI)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))))) 1554304326.274 * * * * [misc]progress: [ 171 / 260 ] simplifiying candidate # 1554304326.274 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304326.274 * * [misc]simplify: iters left: 6 (18 enodes) 1554304326.279 * * [misc]simplify: iters left: 5 (63 enodes) 1554304326.290 * * [misc]simplify: iters left: 4 (97 enodes) 1554304326.320 * * [misc]simplify: iters left: 3 (137 enodes) 1554304326.340 * * [misc]simplify: iters left: 2 (187 enodes) 1554304326.379 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.379 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304326.379 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554304326.380 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554304326.380 * * [misc]simplify: Extracting #4: cost 38 inf + 1 1554304326.380 * * [misc]simplify: Extracting #5: cost 38 inf + 5 1554304326.380 * * [misc]simplify: Extracting #6: cost 35 inf + 132 1554304326.381 * * [misc]simplify: Extracting #7: cost 27 inf + 1463 1554304326.382 * * [misc]simplify: Extracting #8: cost 12 inf + 7269 1554304326.386 * * [misc]simplify: Extracting #9: cost 1 inf + 15824 1554304326.390 * * [misc]simplify: Extracting #10: cost 0 inf + 16650 1554304326.395 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304326.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304326.395 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304326.395 * * [misc]simplify: iters left: 6 (17 enodes) 1554304326.404 * * [misc]simplify: iters left: 5 (58 enodes) 1554304326.421 * * [misc]simplify: iters left: 4 (70 enodes) 1554304326.441 * * [misc]simplify: iters left: 3 (74 enodes) 1554304326.463 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.464 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304326.464 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304326.464 * * [misc]simplify: Extracting #3: cost 20 inf + 83 1554304326.464 * * [misc]simplify: Extracting #4: cost 28 inf + 84 1554304326.464 * * [misc]simplify: Extracting #5: cost 26 inf + 130 1554304326.465 * * [misc]simplify: Extracting #6: cost 15 inf + 2335 1554304326.466 * * [misc]simplify: Extracting #7: cost 6 inf + 5691 1554304326.467 * * [misc]simplify: Extracting #8: cost 1 inf + 8748 1554304326.469 * * [misc]simplify: Extracting #9: cost 0 inf + 9534 1554304326.471 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304326.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304326.471 * * * * [misc]progress: [ 172 / 260 ] simplifiying candidate # 1554304326.471 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304326.472 * * [misc]simplify: iters left: 6 (17 enodes) 1554304326.481 * * [misc]simplify: iters left: 5 (58 enodes) 1554304326.501 * * [misc]simplify: iters left: 4 (81 enodes) 1554304326.525 * * [misc]simplify: iters left: 3 (98 enodes) 1554304326.540 * * [misc]simplify: iters left: 2 (110 enodes) 1554304326.556 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.556 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554304326.556 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554304326.556 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554304326.556 * * [misc]simplify: Extracting #4: cost 30 inf + 1 1554304326.556 * * [misc]simplify: Extracting #5: cost 30 inf + 5 1554304326.556 * * [misc]simplify: Extracting #6: cost 27 inf + 132 1554304326.557 * * [misc]simplify: Extracting #7: cost 16 inf + 1962 1554304326.557 * * [misc]simplify: Extracting #8: cost 5 inf + 7397 1554304326.559 * * [misc]simplify: Extracting #9: cost 0 inf + 10464 1554304326.560 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304326.560 * [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 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304326.560 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304326.560 * * [misc]simplify: iters left: 6 (17 enodes) 1554304326.568 * * [misc]simplify: iters left: 5 (58 enodes) 1554304326.584 * * [misc]simplify: iters left: 4 (70 enodes) 1554304326.594 * * [misc]simplify: iters left: 3 (74 enodes) 1554304326.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.606 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304326.606 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304326.606 * * [misc]simplify: Extracting #3: cost 20 inf + 83 1554304326.606 * * [misc]simplify: Extracting #4: cost 28 inf + 84 1554304326.606 * * [misc]simplify: Extracting #5: cost 26 inf + 130 1554304326.606 * * [misc]simplify: Extracting #6: cost 15 inf + 2335 1554304326.607 * * [misc]simplify: Extracting #7: cost 6 inf + 5611 1554304326.608 * * [misc]simplify: Extracting #8: cost 1 inf + 8468 1554304326.609 * * [misc]simplify: Extracting #9: cost 0 inf + 9214 1554304326.610 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304326.610 * [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 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304326.610 * * * * [misc]progress: [ 173 / 260 ] simplifiying candidate # 1554304326.610 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1) 1554304326.610 * * [misc]simplify: iters left: 6 (13 enodes) 1554304326.614 * * [misc]simplify: iters left: 5 (42 enodes) 1554304326.624 * * [misc]simplify: iters left: 4 (57 enodes) 1554304326.640 * * [misc]simplify: iters left: 3 (60 enodes) 1554304326.653 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.653 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304326.653 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304326.653 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304326.653 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304326.653 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554304326.653 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554304326.653 * * [misc]simplify: Extracting #7: cost 7 inf + 919 1554304326.653 * * [misc]simplify: Extracting #8: cost 1 inf + 3444 1554304326.654 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554304326.654 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304326.654 * [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))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304326.655 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304326.655 * * [misc]simplify: iters left: 6 (16 enodes) 1554304326.659 * * [misc]simplify: iters left: 5 (57 enodes) 1554304326.668 * * [misc]simplify: iters left: 4 (73 enodes) 1554304326.678 * * [misc]simplify: iters left: 3 (86 enodes) 1554304326.701 * * [misc]simplify: iters left: 2 (111 enodes) 1554304326.733 * * [misc]simplify: iters left: 1 (128 enodes) 1554304326.765 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.765 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304326.765 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304326.766 * * [misc]simplify: Extracting #3: cost 29 inf + 44 1554304326.766 * * [misc]simplify: Extracting #4: cost 33 inf + 86 1554304326.766 * * [misc]simplify: Extracting #5: cost 30 inf + 171 1554304326.767 * * [misc]simplify: Extracting #6: cost 16 inf + 3375 1554304326.769 * * [misc]simplify: Extracting #7: cost 2 inf + 9424 1554304326.772 * * [misc]simplify: Extracting #8: cost 0 inf + 10624 1554304326.775 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304326.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554304326.775 * * * * [misc]progress: [ 174 / 260 ] simplifiying candidate # 1554304326.776 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1) 1554304326.776 * * [misc]simplify: iters left: 6 (13 enodes) 1554304326.783 * * [misc]simplify: iters left: 5 (42 enodes) 1554304326.797 * * [misc]simplify: iters left: 4 (57 enodes) 1554304326.813 * * [misc]simplify: iters left: 3 (60 enodes) 1554304326.829 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.829 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304326.829 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304326.829 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304326.829 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304326.829 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554304326.829 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554304326.830 * * [misc]simplify: Extracting #7: cost 7 inf + 919 1554304326.830 * * [misc]simplify: Extracting #8: cost 1 inf + 3444 1554304326.831 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554304326.832 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304326.832 * [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))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304326.833 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304326.833 * * [misc]simplify: iters left: 6 (16 enodes) 1554304326.841 * * [misc]simplify: iters left: 5 (57 enodes) 1554304326.861 * * [misc]simplify: iters left: 4 (73 enodes) 1554304326.873 * * [misc]simplify: iters left: 3 (86 enodes) 1554304326.886 * * [misc]simplify: iters left: 2 (111 enodes) 1554304326.902 * * [misc]simplify: iters left: 1 (128 enodes) 1554304326.928 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304326.928 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304326.929 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304326.929 * * [misc]simplify: Extracting #3: cost 29 inf + 44 1554304326.929 * * [misc]simplify: Extracting #4: cost 33 inf + 86 1554304326.929 * * [misc]simplify: Extracting #5: cost 30 inf + 171 1554304326.930 * * [misc]simplify: Extracting #6: cost 16 inf + 3375 1554304326.932 * * [misc]simplify: Extracting #7: cost 2 inf + 9424 1554304326.935 * * [misc]simplify: Extracting #8: cost 0 inf + 10624 1554304326.938 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304326.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554304326.938 * * * * [misc]progress: [ 175 / 260 ] simplifiying candidate # 1554304326.939 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 (pow PI 1/2))) 1554304326.939 * * [misc]simplify: iters left: 6 (16 enodes) 1554304326.948 * * [misc]simplify: iters left: 5 (57 enodes) 1554304326.968 * * [misc]simplify: iters left: 4 (85 enodes) 1554304326.994 * * [misc]simplify: iters left: 3 (110 enodes) 1554304327.025 * * [misc]simplify: iters left: 2 (139 enodes) 1554304327.068 * * [misc]simplify: iters left: 1 (144 enodes) 1554304327.095 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.095 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304327.095 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554304327.096 * * [misc]simplify: Extracting #3: cost 21 inf + 44 1554304327.096 * * [misc]simplify: Extracting #4: cost 24 inf + 249 1554304327.096 * * [misc]simplify: Extracting #5: cost 26 inf + 251 1554304327.096 * * [misc]simplify: Extracting #6: cost 21 inf + 542 1554304327.099 * * [misc]simplify: Extracting #7: cost 12 inf + 2328 1554304327.101 * * [misc]simplify: Extracting #8: cost 3 inf + 6743 1554304327.104 * * [misc]simplify: Extracting #9: cost 0 inf + 8268 1554304327.106 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI)) 1554304327.106 * [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 (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (pow PI (/ k 2))))) 1554304327.107 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (pow PI (/ k 2))) 1554304327.107 * * [misc]simplify: iters left: 6 (14 enodes) 1554304327.114 * * [misc]simplify: iters left: 5 (47 enodes) 1554304327.127 * * [misc]simplify: iters left: 4 (57 enodes) 1554304327.135 * * [misc]simplify: iters left: 3 (61 enodes) 1554304327.143 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.143 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304327.143 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304327.143 * * [misc]simplify: Extracting #3: cost 20 inf + 43 1554304327.143 * * [misc]simplify: Extracting #4: cost 22 inf + 127 1554304327.143 * * [misc]simplify: Extracting #5: cost 18 inf + 759 1554304327.144 * * [misc]simplify: Extracting #6: cost 7 inf + 3705 1554304327.144 * * [misc]simplify: Extracting #7: cost 0 inf + 7143 1554304327.145 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2)))) 1554304327.145 * [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)))) (* (sqrt k) (pow PI (/ k 2)))))) 1554304327.145 * * * * [misc]progress: [ 176 / 260 ] simplifiying candidate # 1554304327.145 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304327.145 * * [misc]simplify: iters left: 6 (20 enodes) 1554304327.150 * * [misc]simplify: iters left: 5 (71 enodes) 1554304327.161 * * [misc]simplify: iters left: 4 (95 enodes) 1554304327.189 * * [misc]simplify: iters left: 3 (124 enodes) 1554304327.225 * * [misc]simplify: iters left: 2 (137 enodes) 1554304327.260 * * [misc]simplify: iters left: 1 (140 enodes) 1554304327.294 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.294 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554304327.294 * * [misc]simplify: Extracting #2: cost 37 inf + 0 1554304327.294 * * [misc]simplify: Extracting #3: cost 45 inf + 0 1554304327.294 * * [misc]simplify: Extracting #4: cost 51 inf + 43 1554304327.295 * * [misc]simplify: Extracting #5: cost 45 inf + 652 1554304327.295 * * [misc]simplify: Extracting #6: cost 34 inf + 3189 1554304327.296 * * [misc]simplify: Extracting #7: cost 21 inf + 8389 1554304327.298 * * [misc]simplify: Extracting #8: cost 4 inf + 20321 1554304327.301 * * [misc]simplify: Extracting #9: cost 0 inf + 23334 1554304327.304 * * [misc]simplify: Extracting #10: cost 0 inf + 23254 1554304327.307 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304327.307 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304327.307 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304327.307 * * [misc]simplify: iters left: 6 (18 enodes) 1554304327.312 * * [misc]simplify: iters left: 5 (61 enodes) 1554304327.321 * * [misc]simplify: iters left: 4 (73 enodes) 1554304327.340 * * [misc]simplify: iters left: 3 (77 enodes) 1554304327.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.357 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304327.357 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304327.357 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304327.357 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304327.358 * * [misc]simplify: Extracting #5: cost 26 inf + 372 1554304327.358 * * [misc]simplify: Extracting #6: cost 11 inf + 3864 1554304327.359 * * [misc]simplify: Extracting #7: cost 2 inf + 8496 1554304327.360 * * [misc]simplify: Extracting #8: cost 0 inf + 9936 1554304327.361 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304327.361 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304327.361 * * * * [misc]progress: [ 177 / 260 ] simplifiying candidate # 1554304327.361 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304327.361 * * [misc]simplify: iters left: 6 (19 enodes) 1554304327.366 * * [misc]simplify: iters left: 5 (66 enodes) 1554304327.376 * * [misc]simplify: iters left: 4 (83 enodes) 1554304327.388 * * [misc]simplify: iters left: 3 (97 enodes) 1554304327.414 * * [misc]simplify: iters left: 2 (99 enodes) 1554304327.440 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.440 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304327.440 * * [misc]simplify: Extracting #2: cost 25 inf + 0 1554304327.440 * * [misc]simplify: Extracting #3: cost 33 inf + 0 1554304327.441 * * [misc]simplify: Extracting #4: cost 39 inf + 43 1554304327.441 * * [misc]simplify: Extracting #5: cost 33 inf + 533 1554304327.442 * * [misc]simplify: Extracting #6: cost 18 inf + 4303 1554304327.443 * * [misc]simplify: Extracting #7: cost 11 inf + 6498 1554304327.446 * * [misc]simplify: Extracting #8: cost 1 inf + 13182 1554304327.449 * * [misc]simplify: Extracting #9: cost 0 inf + 14048 1554304327.454 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304327.454 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304327.454 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304327.455 * * [misc]simplify: iters left: 6 (18 enodes) 1554304327.463 * * [misc]simplify: iters left: 5 (61 enodes) 1554304327.482 * * [misc]simplify: iters left: 4 (73 enodes) 1554304327.503 * * [misc]simplify: iters left: 3 (77 enodes) 1554304327.525 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.525 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304327.525 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304327.525 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304327.525 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304327.525 * * [misc]simplify: Extracting #5: cost 26 inf + 372 1554304327.526 * * [misc]simplify: Extracting #6: cost 11 inf + 3784 1554304327.527 * * [misc]simplify: Extracting #7: cost 2 inf + 8216 1554304327.528 * * [misc]simplify: Extracting #8: cost 0 inf + 9616 1554304327.529 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304327.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304327.529 * * * * [misc]progress: [ 178 / 260 ] simplifiying candidate # 1554304327.529 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304327.529 * * [misc]simplify: iters left: 6 (15 enodes) 1554304327.533 * * [misc]simplify: iters left: 5 (52 enodes) 1554304327.543 * * [misc]simplify: iters left: 4 (67 enodes) 1554304327.553 * * [misc]simplify: iters left: 3 (76 enodes) 1554304327.569 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.569 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304327.569 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304327.570 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304327.570 * * [misc]simplify: Extracting #4: cost 21 inf + 84 1554304327.570 * * [misc]simplify: Extracting #5: cost 16 inf + 693 1554304327.571 * * [misc]simplify: Extracting #6: cost 5 inf + 2606 1554304327.572 * * [misc]simplify: Extracting #7: cost 0 inf + 4863 1554304327.573 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304327.573 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304327.573 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304327.574 * * [misc]simplify: iters left: 6 (17 enodes) 1554304327.584 * * [misc]simplify: iters left: 5 (60 enodes) 1554304327.598 * * [misc]simplify: iters left: 4 (76 enodes) 1554304327.609 * * [misc]simplify: iters left: 3 (89 enodes) 1554304327.627 * * [misc]simplify: iters left: 2 (114 enodes) 1554304327.652 * * [misc]simplify: iters left: 1 (131 enodes) 1554304327.668 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.668 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304327.668 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304327.669 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304327.669 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304327.669 * * [misc]simplify: Extracting #5: cost 30 inf + 413 1554304327.670 * * [misc]simplify: Extracting #6: cost 6 inf + 8170 1554304327.671 * * [misc]simplify: Extracting #7: cost 0 inf + 11186 1554304327.674 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304327.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304327.674 * * * * [misc]progress: [ 179 / 260 ] simplifiying candidate # 1554304327.675 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304327.675 * * [misc]simplify: iters left: 6 (15 enodes) 1554304327.681 * * [misc]simplify: iters left: 5 (52 enodes) 1554304327.699 * * [misc]simplify: iters left: 4 (67 enodes) 1554304327.709 * * [misc]simplify: iters left: 3 (76 enodes) 1554304327.719 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.719 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304327.720 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304327.720 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304327.720 * * [misc]simplify: Extracting #4: cost 21 inf + 84 1554304327.720 * * [misc]simplify: Extracting #5: cost 16 inf + 693 1554304327.720 * * [misc]simplify: Extracting #6: cost 5 inf + 2606 1554304327.721 * * [misc]simplify: Extracting #7: cost 0 inf + 4863 1554304327.721 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304327.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304327.721 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304327.722 * * [misc]simplify: iters left: 6 (17 enodes) 1554304327.726 * * [misc]simplify: iters left: 5 (60 enodes) 1554304327.735 * * [misc]simplify: iters left: 4 (76 enodes) 1554304327.746 * * [misc]simplify: iters left: 3 (89 enodes) 1554304327.765 * * [misc]simplify: iters left: 2 (114 enodes) 1554304327.800 * * [misc]simplify: iters left: 1 (131 enodes) 1554304327.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.830 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304327.830 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304327.830 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304327.831 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304327.831 * * [misc]simplify: Extracting #5: cost 30 inf + 413 1554304327.832 * * [misc]simplify: Extracting #6: cost 6 inf + 8170 1554304327.835 * * [misc]simplify: Extracting #7: cost 0 inf + 11186 1554304327.837 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304327.838 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304327.838 * * * * [misc]progress: [ 180 / 260 ] simplifiying candidate # 1554304327.838 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304327.838 * * [misc]simplify: iters left: 6 (18 enodes) 1554304327.846 * * [misc]simplify: iters left: 5 (66 enodes) 1554304327.865 * * [misc]simplify: iters left: 4 (89 enodes) 1554304327.892 * * [misc]simplify: iters left: 3 (118 enodes) 1554304327.923 * * [misc]simplify: iters left: 2 (164 enodes) 1554304327.956 * * [misc]simplify: iters left: 1 (204 enodes) 1554304327.986 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304327.986 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554304327.986 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554304327.986 * * [misc]simplify: Extracting #3: cost 39 inf + 126 1554304327.986 * * [misc]simplify: Extracting #4: cost 41 inf + 291 1554304327.988 * * [misc]simplify: Extracting #5: cost 34 inf + 1585 1554304327.989 * * [misc]simplify: Extracting #6: cost 21 inf + 3757 1554304327.990 * * [misc]simplify: Extracting #7: cost 4 inf + 11164 1554304327.993 * * [misc]simplify: Extracting #8: cost 0 inf + 13382 1554304327.995 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304327.995 * [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)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (pow PI (/ k 2))))) 1554304327.996 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (pow PI (/ k 2))) 1554304327.996 * * [misc]simplify: iters left: 6 (15 enodes) 1554304328.000 * * [misc]simplify: iters left: 5 (50 enodes) 1554304328.007 * * [misc]simplify: iters left: 4 (60 enodes) 1554304328.018 * * [misc]simplify: iters left: 3 (64 enodes) 1554304328.036 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.036 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304328.036 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304328.036 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1554304328.036 * * [misc]simplify: Extracting #4: cost 24 inf + 339 1554304328.037 * * [misc]simplify: Extracting #5: cost 16 inf + 1827 1554304328.038 * * [misc]simplify: Extracting #6: cost 7 inf + 3616 1554304328.039 * * [misc]simplify: Extracting #7: cost 0 inf + 7545 1554304328.040 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (pow PI (/ k 2)))) 1554304328.040 * [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)))) (* (cbrt (sqrt k)) (pow PI (/ k 2)))))) 1554304328.041 * * * * [misc]progress: [ 181 / 260 ] simplifiying candidate # 1554304328.041 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304328.041 * * [misc]simplify: iters left: 6 (19 enodes) 1554304328.050 * * [misc]simplify: iters left: 5 (66 enodes) 1554304328.070 * * [misc]simplify: iters left: 4 (83 enodes) 1554304328.098 * * [misc]simplify: iters left: 3 (94 enodes) 1554304328.126 * * [misc]simplify: iters left: 2 (97 enodes) 1554304328.151 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.151 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554304328.151 * * [misc]simplify: Extracting #2: cost 23 inf + 0 1554304328.151 * * [misc]simplify: Extracting #3: cost 33 inf + 0 1554304328.151 * * [misc]simplify: Extracting #4: cost 39 inf + 43 1554304328.151 * * [misc]simplify: Extracting #5: cost 34 inf + 292 1554304328.152 * * [misc]simplify: Extracting #6: cost 19 inf + 3624 1554304328.153 * * [misc]simplify: Extracting #7: cost 9 inf + 8711 1554304328.154 * * [misc]simplify: Extracting #8: cost 0 inf + 15060 1554304328.156 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1554304328.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.156 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.156 * * [misc]simplify: iters left: 6 (18 enodes) 1554304328.160 * * [misc]simplify: iters left: 5 (61 enodes) 1554304328.170 * * [misc]simplify: iters left: 4 (73 enodes) 1554304328.180 * * [misc]simplify: iters left: 3 (77 enodes) 1554304328.191 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.191 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304328.191 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304328.191 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304328.191 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304328.191 * * [misc]simplify: Extracting #5: cost 26 inf + 292 1554304328.191 * * [misc]simplify: Extracting #6: cost 11 inf + 3744 1554304328.192 * * [misc]simplify: Extracting #7: cost 2 inf + 8256 1554304328.193 * * [misc]simplify: Extracting #8: cost 0 inf + 9616 1554304328.194 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.194 * * * * [misc]progress: [ 182 / 260 ] simplifiying candidate # 1554304328.195 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.195 * * [misc]simplify: iters left: 6 (18 enodes) 1554304328.201 * * [misc]simplify: iters left: 5 (61 enodes) 1554304328.219 * * [misc]simplify: iters left: 4 (73 enodes) 1554304328.241 * * [misc]simplify: iters left: 3 (77 enodes) 1554304328.252 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.252 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304328.252 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304328.252 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304328.252 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304328.252 * * [misc]simplify: Extracting #5: cost 26 inf + 292 1554304328.253 * * [misc]simplify: Extracting #6: cost 11 inf + 3664 1554304328.254 * * [misc]simplify: Extracting #7: cost 2 inf + 7976 1554304328.255 * * [misc]simplify: Extracting #8: cost 0 inf + 9296 1554304328.256 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.256 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.256 * * [misc]simplify: iters left: 6 (18 enodes) 1554304328.261 * * [misc]simplify: iters left: 5 (61 enodes) 1554304328.270 * * [misc]simplify: iters left: 4 (73 enodes) 1554304328.280 * * [misc]simplify: iters left: 3 (77 enodes) 1554304328.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.291 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304328.291 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304328.291 * * [misc]simplify: Extracting #3: cost 25 inf + 0 1554304328.291 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554304328.291 * * [misc]simplify: Extracting #5: cost 26 inf + 292 1554304328.292 * * [misc]simplify: Extracting #6: cost 11 inf + 3664 1554304328.293 * * [misc]simplify: Extracting #7: cost 2 inf + 7976 1554304328.295 * * [misc]simplify: Extracting #8: cost 0 inf + 9296 1554304328.297 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.297 * * * * [misc]progress: [ 183 / 260 ] simplifiying candidate # 1554304328.297 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1) 1554304328.297 * * [misc]simplify: iters left: 6 (14 enodes) 1554304328.305 * * [misc]simplify: iters left: 5 (47 enodes) 1554304328.320 * * [misc]simplify: iters left: 4 (57 enodes) 1554304328.339 * * [misc]simplify: iters left: 3 (62 enodes) 1554304328.353 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.353 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304328.353 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554304328.354 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304328.354 * * [misc]simplify: Extracting #4: cost 18 inf + 43 1554304328.354 * * [misc]simplify: Extracting #5: cost 14 inf + 291 1554304328.354 * * [misc]simplify: Extracting #6: cost 4 inf + 2242 1554304328.355 * * [misc]simplify: Extracting #7: cost 0 inf + 3233 1554304328.355 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304328.355 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304328.355 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304328.356 * * [misc]simplify: iters left: 6 (17 enodes) 1554304328.360 * * [misc]simplify: iters left: 5 (60 enodes) 1554304328.369 * * [misc]simplify: iters left: 4 (76 enodes) 1554304328.380 * * [misc]simplify: iters left: 3 (89 enodes) 1554304328.406 * * [misc]simplify: iters left: 2 (114 enodes) 1554304328.421 * * [misc]simplify: iters left: 1 (131 enodes) 1554304328.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.445 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304328.445 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304328.446 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304328.446 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304328.446 * * [misc]simplify: Extracting #5: cost 30 inf + 333 1554304328.448 * * [misc]simplify: Extracting #6: cost 6 inf + 7810 1554304328.451 * * [misc]simplify: Extracting #7: cost 0 inf + 10706 1554304328.454 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304328.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304328.454 * * * * [misc]progress: [ 184 / 260 ] simplifiying candidate # 1554304328.455 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1) 1554304328.455 * * [misc]simplify: iters left: 6 (14 enodes) 1554304328.462 * * [misc]simplify: iters left: 5 (47 enodes) 1554304328.471 * * [misc]simplify: iters left: 4 (57 enodes) 1554304328.480 * * [misc]simplify: iters left: 3 (62 enodes) 1554304328.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.489 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304328.489 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554304328.489 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304328.489 * * [misc]simplify: Extracting #4: cost 18 inf + 43 1554304328.489 * * [misc]simplify: Extracting #5: cost 14 inf + 291 1554304328.490 * * [misc]simplify: Extracting #6: cost 4 inf + 2242 1554304328.491 * * [misc]simplify: Extracting #7: cost 0 inf + 3233 1554304328.492 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304328.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304328.492 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304328.493 * * [misc]simplify: iters left: 6 (17 enodes) 1554304328.501 * * [misc]simplify: iters left: 5 (60 enodes) 1554304328.520 * * [misc]simplify: iters left: 4 (76 enodes) 1554304328.541 * * [misc]simplify: iters left: 3 (89 enodes) 1554304328.561 * * [misc]simplify: iters left: 2 (114 enodes) 1554304328.576 * * [misc]simplify: iters left: 1 (131 enodes) 1554304328.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.608 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304328.609 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304328.609 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554304328.609 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554304328.609 * * [misc]simplify: Extracting #5: cost 30 inf + 333 1554304328.611 * * [misc]simplify: Extracting #6: cost 6 inf + 7810 1554304328.614 * * [misc]simplify: Extracting #7: cost 0 inf + 10706 1554304328.617 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554304328.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1554304328.617 * * * * [misc]progress: [ 185 / 260 ] simplifiying candidate # 1554304328.618 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ 1 (pow PI 1/2))) 1554304328.618 * * [misc]simplify: iters left: 6 (17 enodes) 1554304328.627 * * [misc]simplify: iters left: 5 (61 enodes) 1554304328.647 * * [misc]simplify: iters left: 4 (77 enodes) 1554304328.670 * * [misc]simplify: iters left: 3 (90 enodes) 1554304328.691 * * [misc]simplify: iters left: 2 (115 enodes) 1554304328.707 * * [misc]simplify: iters left: 1 (132 enodes) 1554304328.739 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.739 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304328.739 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304328.740 * * [misc]simplify: Extracting #3: cost 29 inf + 3 1554304328.740 * * [misc]simplify: Extracting #4: cost 30 inf + 209 1554304328.740 * * [misc]simplify: Extracting #5: cost 23 inf + 944 1554304328.742 * * [misc]simplify: Extracting #6: cost 8 inf + 4743 1554304328.744 * * [misc]simplify: Extracting #7: cost 1 inf + 7512 1554304328.747 * * [misc]simplify: Extracting #8: cost 0 inf + 8006 1554304328.749 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1554304328.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow PI (/ k 2))))) 1554304328.750 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (pow PI (/ k 2))) 1554304328.750 * * [misc]simplify: iters left: 6 (15 enodes) 1554304328.757 * * [misc]simplify: iters left: 5 (50 enodes) 1554304328.772 * * [misc]simplify: iters left: 4 (60 enodes) 1554304328.789 * * [misc]simplify: iters left: 3 (64 enodes) 1554304328.799 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.799 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304328.799 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304328.799 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1554304328.799 * * [misc]simplify: Extracting #4: cost 24 inf + 339 1554304328.800 * * [misc]simplify: Extracting #5: cost 16 inf + 1667 1554304328.800 * * [misc]simplify: Extracting #6: cost 7 inf + 3456 1554304328.801 * * [misc]simplify: Extracting #7: cost 0 inf + 7225 1554304328.801 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) 1554304328.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))))) 1554304328.801 * * * * [misc]progress: [ 186 / 260 ] simplifiying candidate # 1554304328.802 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304328.802 * * [misc]simplify: iters left: 6 (17 enodes) 1554304328.806 * * [misc]simplify: iters left: 5 (58 enodes) 1554304328.815 * * [misc]simplify: iters left: 4 (71 enodes) 1554304328.834 * * [misc]simplify: iters left: 3 (78 enodes) 1554304328.858 * * [misc]simplify: iters left: 2 (79 enodes) 1554304328.879 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.879 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304328.879 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554304328.879 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304328.879 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554304328.879 * * [misc]simplify: Extracting #5: cost 26 inf + 5 1554304328.879 * * [misc]simplify: Extracting #6: cost 21 inf + 215 1554304328.880 * * [misc]simplify: Extracting #7: cost 12 inf + 1883 1554304328.881 * * [misc]simplify: Extracting #8: cost 4 inf + 5331 1554304328.883 * * [misc]simplify: Extracting #9: cost 0 inf + 8064 1554304328.885 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304328.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.885 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.885 * * [misc]simplify: iters left: 6 (17 enodes) 1554304328.891 * * [misc]simplify: iters left: 5 (58 enodes) 1554304328.900 * * [misc]simplify: iters left: 4 (70 enodes) 1554304328.910 * * [misc]simplify: iters left: 3 (74 enodes) 1554304328.922 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.922 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304328.922 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304328.922 * * [misc]simplify: Extracting #3: cost 20 inf + 83 1554304328.922 * * [misc]simplify: Extracting #4: cost 28 inf + 84 1554304328.922 * * [misc]simplify: Extracting #5: cost 26 inf + 130 1554304328.923 * * [misc]simplify: Extracting #6: cost 15 inf + 2255 1554304328.924 * * [misc]simplify: Extracting #7: cost 6 inf + 5491 1554304328.926 * * [misc]simplify: Extracting #8: cost 1 inf + 8468 1554304328.928 * * [misc]simplify: Extracting #9: cost 0 inf + 9214 1554304328.929 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.930 * * * * [misc]progress: [ 187 / 260 ] simplifiying candidate # 1554304328.930 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.930 * * [misc]simplify: iters left: 6 (16 enodes) 1554304328.938 * * [misc]simplify: iters left: 5 (53 enodes) 1554304328.954 * * [misc]simplify: iters left: 4 (62 enodes) 1554304328.968 * * [misc]simplify: iters left: 3 (67 enodes) 1554304328.977 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304328.977 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304328.977 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554304328.977 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304328.977 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554304328.978 * * [misc]simplify: Extracting #5: cost 22 inf + 5 1554304328.978 * * [misc]simplify: Extracting #6: cost 19 inf + 132 1554304328.978 * * [misc]simplify: Extracting #7: cost 10 inf + 1467 1554304328.978 * * [misc]simplify: Extracting #8: cost 1 inf + 4716 1554304328.979 * * [misc]simplify: Extracting #9: cost 0 inf + 5422 1554304328.980 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.980 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304328.980 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304328.980 * * [misc]simplify: iters left: 6 (17 enodes) 1554304328.984 * * [misc]simplify: iters left: 5 (58 enodes) 1554304328.994 * * [misc]simplify: iters left: 4 (70 enodes) 1554304329.014 * * [misc]simplify: iters left: 3 (74 enodes) 1554304329.029 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.029 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304329.029 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554304329.030 * * [misc]simplify: Extracting #3: cost 20 inf + 83 1554304329.030 * * [misc]simplify: Extracting #4: cost 28 inf + 84 1554304329.030 * * [misc]simplify: Extracting #5: cost 26 inf + 130 1554304329.030 * * [misc]simplify: Extracting #6: cost 15 inf + 2255 1554304329.030 * * [misc]simplify: Extracting #7: cost 6 inf + 5411 1554304329.031 * * [misc]simplify: Extracting #8: cost 1 inf + 8188 1554304329.032 * * [misc]simplify: Extracting #9: cost 0 inf + 8894 1554304329.033 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304329.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304329.033 * * * * [misc]progress: [ 188 / 260 ] simplifiying candidate # 1554304329.034 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1) 1554304329.034 * * [misc]simplify: iters left: 6 (12 enodes) 1554304329.037 * * [misc]simplify: iters left: 5 (37 enodes) 1554304329.043 * * [misc]simplify: iters left: 4 (46 enodes) 1554304329.050 * * [misc]simplify: iters left: 3 (48 enodes) 1554304329.058 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.059 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304329.059 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304329.059 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304329.059 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304329.059 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1554304329.059 * * [misc]simplify: Extracting #6: cost 3 inf + 1171 1554304329.060 * * [misc]simplify: Extracting #7: cost 1 inf + 1627 1554304329.060 * * [misc]simplify: Extracting #8: cost 0 inf + 2001 1554304329.061 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304329.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304329.061 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304329.061 * * [misc]simplify: iters left: 6 (16 enodes) 1554304329.070 * * [misc]simplify: iters left: 5 (57 enodes) 1554304329.087 * * [misc]simplify: iters left: 4 (73 enodes) 1554304329.109 * * [misc]simplify: iters left: 3 (86 enodes) 1554304329.130 * * [misc]simplify: iters left: 2 (111 enodes) 1554304329.148 * * [misc]simplify: iters left: 1 (128 enodes) 1554304329.171 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.171 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304329.172 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304329.172 * * [misc]simplify: Extracting #3: cost 29 inf + 44 1554304329.172 * * [misc]simplify: Extracting #4: cost 33 inf + 86 1554304329.172 * * [misc]simplify: Extracting #5: cost 30 inf + 171 1554304329.173 * * [misc]simplify: Extracting #6: cost 16 inf + 3255 1554304329.175 * * [misc]simplify: Extracting #7: cost 2 inf + 9024 1554304329.177 * * [misc]simplify: Extracting #8: cost 0 inf + 10144 1554304329.179 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304329.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554304329.179 * * * * [misc]progress: [ 189 / 260 ] simplifiying candidate # 1554304329.179 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1) 1554304329.179 * * [misc]simplify: iters left: 6 (12 enodes) 1554304329.183 * * [misc]simplify: iters left: 5 (37 enodes) 1554304329.189 * * [misc]simplify: iters left: 4 (46 enodes) 1554304329.195 * * [misc]simplify: iters left: 3 (48 enodes) 1554304329.202 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.202 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304329.202 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304329.202 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304329.202 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304329.202 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1554304329.202 * * [misc]simplify: Extracting #6: cost 3 inf + 1171 1554304329.202 * * [misc]simplify: Extracting #7: cost 1 inf + 1627 1554304329.203 * * [misc]simplify: Extracting #8: cost 0 inf + 2001 1554304329.203 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304329.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304329.203 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304329.203 * * [misc]simplify: iters left: 6 (16 enodes) 1554304329.208 * * [misc]simplify: iters left: 5 (57 enodes) 1554304329.224 * * [misc]simplify: iters left: 4 (73 enodes) 1554304329.247 * * [misc]simplify: iters left: 3 (86 enodes) 1554304329.274 * * [misc]simplify: iters left: 2 (111 enodes) 1554304329.291 * * [misc]simplify: iters left: 1 (128 enodes) 1554304329.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.307 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304329.307 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304329.307 * * [misc]simplify: Extracting #3: cost 29 inf + 44 1554304329.308 * * [misc]simplify: Extracting #4: cost 33 inf + 86 1554304329.308 * * [misc]simplify: Extracting #5: cost 30 inf + 171 1554304329.308 * * [misc]simplify: Extracting #6: cost 16 inf + 3255 1554304329.309 * * [misc]simplify: Extracting #7: cost 2 inf + 9024 1554304329.311 * * [misc]simplify: Extracting #8: cost 0 inf + 10144 1554304329.312 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304329.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554304329.312 * * * * [misc]progress: [ 190 / 260 ] simplifiying candidate # 1554304329.312 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 (pow PI 1/2))) 1554304329.313 * * [misc]simplify: iters left: 6 (15 enodes) 1554304329.316 * * [misc]simplify: iters left: 5 (52 enodes) 1554304329.325 * * [misc]simplify: iters left: 4 (64 enodes) 1554304329.333 * * [misc]simplify: iters left: 3 (68 enodes) 1554304329.344 * * [misc]simplify: iters left: 2 (71 enodes) 1554304329.354 * * [misc]simplify: iters left: 1 (72 enodes) 1554304329.365 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.365 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304329.365 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554304329.365 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554304329.365 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554304329.365 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554304329.365 * * [misc]simplify: Extracting #6: cost 14 inf + 420 1554304329.365 * * [misc]simplify: Extracting #7: cost 8 inf + 1377 1554304329.366 * * [misc]simplify: Extracting #8: cost 0 inf + 3988 1554304329.367 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304329.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (pow PI (/ k 2))))) 1554304329.367 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (pow PI (/ k 2))) 1554304329.367 * * [misc]simplify: iters left: 6 (14 enodes) 1554304329.370 * * [misc]simplify: iters left: 5 (47 enodes) 1554304329.378 * * [misc]simplify: iters left: 4 (57 enodes) 1554304329.386 * * [misc]simplify: iters left: 3 (61 enodes) 1554304329.394 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.394 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304329.394 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304329.394 * * [misc]simplify: Extracting #3: cost 20 inf + 43 1554304329.394 * * [misc]simplify: Extracting #4: cost 22 inf + 127 1554304329.394 * * [misc]simplify: Extracting #5: cost 18 inf + 759 1554304329.394 * * [misc]simplify: Extracting #6: cost 7 inf + 3585 1554304329.395 * * [misc]simplify: Extracting #7: cost 0 inf + 6823 1554304329.396 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2)))) 1554304329.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2)))))) 1554304329.396 * * * * [misc]progress: [ 191 / 260 ] simplifiying candidate # 1554304329.396 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304329.396 * * [misc]simplify: iters left: 6 (16 enodes) 1554304329.400 * * [misc]simplify: iters left: 5 (58 enodes) 1554304329.409 * * [misc]simplify: iters left: 4 (82 enodes) 1554304329.425 * * [misc]simplify: iters left: 3 (111 enodes) 1554304329.456 * * [misc]simplify: iters left: 2 (124 enodes) 1554304329.477 * * [misc]simplify: iters left: 1 (126 enodes) 1554304329.493 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.493 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554304329.493 * * [misc]simplify: Extracting #2: cost 34 inf + 1 1554304329.493 * * [misc]simplify: Extracting #3: cost 38 inf + 1 1554304329.493 * * [misc]simplify: Extracting #4: cost 40 inf + 2 1554304329.493 * * [misc]simplify: Extracting #5: cost 36 inf + 851 1554304329.494 * * [misc]simplify: Extracting #6: cost 37 inf + 1216 1554304329.494 * * [misc]simplify: Extracting #7: cost 34 inf + 1462 1554304329.495 * * [misc]simplify: Extracting #8: cost 15 inf + 8641 1554304329.497 * * [misc]simplify: Extracting #9: cost 2 inf + 15623 1554304329.499 * * [misc]simplify: Extracting #10: cost 0 inf + 16773 1554304329.502 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304329.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304329.503 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304329.503 * * [misc]simplify: iters left: 6 (17 enodes) 1554304329.507 * * [misc]simplify: iters left: 5 (58 enodes) 1554304329.518 * * [misc]simplify: iters left: 4 (70 enodes) 1554304329.527 * * [misc]simplify: iters left: 3 (74 enodes) 1554304329.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.538 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304329.538 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304329.538 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554304329.538 * * [misc]simplify: Extracting #4: cost 25 inf + 371 1554304329.538 * * [misc]simplify: Extracting #5: cost 15 inf + 1749 1554304329.539 * * [misc]simplify: Extracting #6: cost 6 inf + 5105 1554304329.539 * * [misc]simplify: Extracting #7: cost 1 inf + 8242 1554304329.540 * * [misc]simplify: Extracting #8: cost 0 inf + 8948 1554304329.541 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304329.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304329.541 * * * * [misc]progress: [ 192 / 260 ] simplifiying candidate # 1554304329.541 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304329.542 * * [misc]simplify: iters left: 6 (15 enodes) 1554304329.545 * * [misc]simplify: iters left: 5 (53 enodes) 1554304329.554 * * [misc]simplify: iters left: 4 (70 enodes) 1554304329.564 * * [misc]simplify: iters left: 3 (84 enodes) 1554304329.576 * * [misc]simplify: iters left: 2 (86 enodes) 1554304329.587 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.588 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304329.588 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554304329.588 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304329.588 * * [misc]simplify: Extracting #4: cost 28 inf + 2 1554304329.588 * * [misc]simplify: Extracting #5: cost 23 inf + 1013 1554304329.588 * * [misc]simplify: Extracting #6: cost 24 inf + 1378 1554304329.589 * * [misc]simplify: Extracting #7: cost 22 inf + 1462 1554304329.589 * * [misc]simplify: Extracting #8: cost 12 inf + 3173 1554304329.590 * * [misc]simplify: Extracting #9: cost 0 inf + 9313 1554304329.593 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304329.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304329.593 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304329.594 * * [misc]simplify: iters left: 6 (17 enodes) 1554304329.598 * * [misc]simplify: iters left: 5 (58 enodes) 1554304329.607 * * [misc]simplify: iters left: 4 (70 enodes) 1554304329.618 * * [misc]simplify: iters left: 3 (74 enodes) 1554304329.629 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.629 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304329.629 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304329.629 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554304329.629 * * [misc]simplify: Extracting #4: cost 25 inf + 371 1554304329.630 * * [misc]simplify: Extracting #5: cost 15 inf + 1749 1554304329.630 * * [misc]simplify: Extracting #6: cost 6 inf + 5025 1554304329.632 * * [misc]simplify: Extracting #7: cost 1 inf + 7962 1554304329.634 * * [misc]simplify: Extracting #8: cost 0 inf + 8628 1554304329.635 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304329.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304329.636 * * * * [misc]progress: [ 193 / 260 ] simplifiying candidate # 1554304329.636 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304329.636 * * [misc]simplify: iters left: 6 (7 enodes) 1554304329.640 * * [misc]simplify: iters left: 5 (25 enodes) 1554304329.648 * * [misc]simplify: iters left: 4 (35 enodes) 1554304329.658 * * [misc]simplify: iters left: 3 (42 enodes) 1554304329.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.669 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304329.669 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304329.669 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304329.669 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1554304329.669 * * [misc]simplify: Extracting #5: cost 3 inf + 891 1554304329.670 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554304329.670 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304329.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304329.671 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304329.671 * * [misc]simplify: iters left: 6 (16 enodes) 1554304329.681 * * [misc]simplify: iters left: 5 (57 enodes) 1554304329.690 * * [misc]simplify: iters left: 4 (73 enodes) 1554304329.702 * * [misc]simplify: iters left: 3 (86 enodes) 1554304329.721 * * [misc]simplify: iters left: 2 (111 enodes) 1554304329.752 * * [misc]simplify: iters left: 1 (128 enodes) 1554304329.784 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.784 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304329.784 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304329.784 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554304329.785 * * [misc]simplify: Extracting #4: cost 30 inf + 210 1554304329.786 * * [misc]simplify: Extracting #5: cost 16 inf + 3363 1554304329.788 * * [misc]simplify: Extracting #6: cost 2 inf + 8839 1554304329.790 * * [misc]simplify: Extracting #7: cost 0 inf + 10038 1554304329.793 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554304329.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304329.794 * * * * [misc]progress: [ 194 / 260 ] simplifiying candidate # 1554304329.794 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1554304329.794 * * [misc]simplify: iters left: 6 (7 enodes) 1554304329.798 * * [misc]simplify: iters left: 5 (25 enodes) 1554304329.806 * * [misc]simplify: iters left: 4 (35 enodes) 1554304329.815 * * [misc]simplify: iters left: 3 (42 enodes) 1554304329.820 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.820 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304329.820 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304329.820 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304329.820 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1554304329.820 * * [misc]simplify: Extracting #5: cost 3 inf + 891 1554304329.821 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554304329.821 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304329.821 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304329.821 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304329.821 * * [misc]simplify: iters left: 6 (16 enodes) 1554304329.827 * * [misc]simplify: iters left: 5 (57 enodes) 1554304329.837 * * [misc]simplify: iters left: 4 (73 enodes) 1554304329.851 * * [misc]simplify: iters left: 3 (86 enodes) 1554304329.875 * * [misc]simplify: iters left: 2 (111 enodes) 1554304329.890 * * [misc]simplify: iters left: 1 (128 enodes) 1554304329.914 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304329.914 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304329.914 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304329.914 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554304329.914 * * [misc]simplify: Extracting #4: cost 30 inf + 210 1554304329.915 * * [misc]simplify: Extracting #5: cost 16 inf + 3363 1554304329.917 * * [misc]simplify: Extracting #6: cost 2 inf + 8839 1554304329.918 * * [misc]simplify: Extracting #7: cost 0 inf + 10038 1554304329.920 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554304329.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554304329.920 * * * * [misc]progress: [ 195 / 260 ] simplifiying candidate # 1554304329.920 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow PI 1/2))) 1554304329.920 * * [misc]simplify: iters left: 6 (11 enodes) 1554304329.925 * * [misc]simplify: iters left: 5 (42 enodes) 1554304329.931 * * [misc]simplify: iters left: 4 (60 enodes) 1554304329.941 * * [misc]simplify: iters left: 3 (82 enodes) 1554304329.955 * * [misc]simplify: iters left: 2 (134 enodes) 1554304330.007 * * [misc]simplify: iters left: 1 (170 enodes) 1554304330.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.070 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554304330.070 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554304330.070 * * [misc]simplify: Extracting #3: cost 21 inf + 126 1554304330.071 * * [misc]simplify: Extracting #4: cost 18 inf + 250 1554304330.071 * * [misc]simplify: Extracting #5: cost 8 inf + 1745 1554304330.073 * * [misc]simplify: Extracting #6: cost 1 inf + 3238 1554304330.075 * * [misc]simplify: Extracting #7: cost 0 inf + 3400 1554304330.077 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304330.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))))) 1554304330.077 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow PI (/ k 2))) 1554304330.077 * * [misc]simplify: iters left: 6 (14 enodes) 1554304330.081 * * [misc]simplify: iters left: 5 (47 enodes) 1554304330.088 * * [misc]simplify: iters left: 4 (57 enodes) 1554304330.096 * * [misc]simplify: iters left: 3 (61 enodes) 1554304330.104 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.104 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.104 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304330.104 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554304330.104 * * [misc]simplify: Extracting #4: cost 21 inf + 250 1554304330.104 * * [misc]simplify: Extracting #5: cost 11 inf + 1626 1554304330.105 * * [misc]simplify: Extracting #6: cost 1 inf + 5812 1554304330.105 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554304330.106 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) (cbrt (sqrt k))) 1554304330.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) (cbrt (sqrt k))))) 1554304330.106 * * * * [misc]progress: [ 196 / 260 ] simplifiying candidate # 1554304330.106 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304330.107 * * [misc]simplify: iters left: 6 (15 enodes) 1554304330.110 * * [misc]simplify: iters left: 5 (53 enodes) 1554304330.119 * * [misc]simplify: iters left: 4 (70 enodes) 1554304330.130 * * [misc]simplify: iters left: 3 (81 enodes) 1554304330.145 * * [misc]simplify: iters left: 2 (84 enodes) 1554304330.156 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.156 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554304330.156 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554304330.156 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554304330.157 * * [misc]simplify: Extracting #4: cost 28 inf + 2 1554304330.157 * * [misc]simplify: Extracting #5: cost 25 inf + 491 1554304330.157 * * [misc]simplify: Extracting #6: cost 28 inf + 492 1554304330.157 * * [misc]simplify: Extracting #7: cost 22 inf + 865 1554304330.157 * * [misc]simplify: Extracting #8: cost 14 inf + 3117 1554304330.158 * * [misc]simplify: Extracting #9: cost 1 inf + 9912 1554304330.160 * * [misc]simplify: Extracting #10: cost 0 inf + 10487 1554304330.161 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304330.161 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304330.161 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.162 * * [misc]simplify: iters left: 6 (17 enodes) 1554304330.166 * * [misc]simplify: iters left: 5 (58 enodes) 1554304330.179 * * [misc]simplify: iters left: 4 (70 enodes) 1554304330.198 * * [misc]simplify: iters left: 3 (74 enodes) 1554304330.219 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.219 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.219 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304330.219 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554304330.220 * * [misc]simplify: Extracting #4: cost 25 inf + 291 1554304330.220 * * [misc]simplify: Extracting #5: cost 15 inf + 1669 1554304330.221 * * [misc]simplify: Extracting #6: cost 6 inf + 4905 1554304330.223 * * [misc]simplify: Extracting #7: cost 1 inf + 7922 1554304330.225 * * [misc]simplify: Extracting #8: cost 0 inf + 8628 1554304330.227 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304330.227 * * * * [misc]progress: [ 197 / 260 ] simplifiying candidate # 1554304330.227 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.227 * * [misc]simplify: iters left: 6 (14 enodes) 1554304330.236 * * [misc]simplify: iters left: 5 (48 enodes) 1554304330.251 * * [misc]simplify: iters left: 4 (60 enodes) 1554304330.268 * * [misc]simplify: iters left: 3 (64 enodes) 1554304330.287 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.287 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.287 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304330.287 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304330.287 * * [misc]simplify: Extracting #4: cost 20 inf + 2 1554304330.287 * * [misc]simplify: Extracting #5: cost 20 inf + 166 1554304330.288 * * [misc]simplify: Extracting #6: cost 21 inf + 370 1554304330.288 * * [misc]simplify: Extracting #7: cost 17 inf + 659 1554304330.289 * * [misc]simplify: Extracting #8: cost 3 inf + 4482 1554304330.290 * * [misc]simplify: Extracting #9: cost 0 inf + 5887 1554304330.292 * [exit]simplify: Simplified to (/ 1 (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1554304330.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304330.292 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.293 * * [misc]simplify: iters left: 6 (17 enodes) 1554304330.301 * * [misc]simplify: iters left: 5 (58 enodes) 1554304330.318 * * [misc]simplify: iters left: 4 (70 enodes) 1554304330.329 * * [misc]simplify: iters left: 3 (74 enodes) 1554304330.340 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.340 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.340 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304330.340 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554304330.340 * * [misc]simplify: Extracting #4: cost 25 inf + 291 1554304330.340 * * [misc]simplify: Extracting #5: cost 15 inf + 1669 1554304330.341 * * [misc]simplify: Extracting #6: cost 6 inf + 4825 1554304330.341 * * [misc]simplify: Extracting #7: cost 1 inf + 7642 1554304330.342 * * [misc]simplify: Extracting #8: cost 0 inf + 8308 1554304330.343 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304330.343 * * * * [misc]progress: [ 198 / 260 ] simplifiying candidate # 1554304330.344 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) 1) 1554304330.344 * * [misc]simplify: iters left: 6 (6 enodes) 1554304330.345 * * [misc]simplify: iters left: 5 (20 enodes) 1554304330.349 * * [misc]simplify: iters left: 4 (25 enodes) 1554304330.352 * * [misc]simplify: iters left: 3 (28 enodes) 1554304330.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.357 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304330.357 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304330.357 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304330.357 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1554304330.357 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554304330.357 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554304330.358 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304330.358 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304330.358 * * [misc]simplify: iters left: 6 (16 enodes) 1554304330.362 * * [misc]simplify: iters left: 5 (57 enodes) 1554304330.371 * * [misc]simplify: iters left: 4 (73 enodes) 1554304330.385 * * [misc]simplify: iters left: 3 (86 enodes) 1554304330.410 * * [misc]simplify: iters left: 2 (111 enodes) 1554304330.441 * * [misc]simplify: iters left: 1 (128 enodes) 1554304330.473 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.473 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304330.473 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304330.473 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554304330.474 * * [misc]simplify: Extracting #4: cost 30 inf + 170 1554304330.474 * * [misc]simplify: Extracting #5: cost 16 inf + 3203 1554304330.478 * * [misc]simplify: Extracting #6: cost 2 inf + 8439 1554304330.481 * * [misc]simplify: Extracting #7: cost 0 inf + 9558 1554304330.483 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554304330.483 * [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))))))) 1554304330.484 * * * * [misc]progress: [ 199 / 260 ] simplifiying candidate # 1554304330.484 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) 1) 1554304330.484 * * [misc]simplify: iters left: 6 (6 enodes) 1554304330.487 * * [misc]simplify: iters left: 5 (20 enodes) 1554304330.492 * * [misc]simplify: iters left: 4 (25 enodes) 1554304330.496 * * [misc]simplify: iters left: 3 (28 enodes) 1554304330.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.499 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304330.499 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304330.499 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304330.499 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1554304330.499 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554304330.499 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554304330.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304330.499 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304330.500 * * [misc]simplify: iters left: 6 (16 enodes) 1554304330.504 * * [misc]simplify: iters left: 5 (57 enodes) 1554304330.512 * * [misc]simplify: iters left: 4 (73 enodes) 1554304330.528 * * [misc]simplify: iters left: 3 (86 enodes) 1554304330.554 * * [misc]simplify: iters left: 2 (111 enodes) 1554304330.573 * * [misc]simplify: iters left: 1 (128 enodes) 1554304330.592 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.592 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304330.592 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304330.592 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554304330.592 * * [misc]simplify: Extracting #4: cost 30 inf + 170 1554304330.593 * * [misc]simplify: Extracting #5: cost 16 inf + 3203 1554304330.596 * * [misc]simplify: Extracting #6: cost 2 inf + 8439 1554304330.598 * * [misc]simplify: Extracting #7: cost 0 inf + 9558 1554304330.601 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554304330.601 * [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))))))) 1554304330.601 * * * * [misc]progress: [ 200 / 260 ] simplifiying candidate # 1554304330.602 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow PI 1/2))) 1554304330.602 * * [misc]simplify: iters left: 6 (10 enodes) 1554304330.607 * * [misc]simplify: iters left: 5 (37 enodes) 1554304330.616 * * [misc]simplify: iters left: 4 (48 enodes) 1554304330.624 * * [misc]simplify: iters left: 3 (56 enodes) 1554304330.633 * * [misc]simplify: iters left: 2 (85 enodes) 1554304330.647 * * [misc]simplify: iters left: 1 (95 enodes) 1554304330.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.663 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.663 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554304330.663 * * [misc]simplify: Extracting #3: cost 14 inf + 44 1554304330.663 * * [misc]simplify: Extracting #4: cost 10 inf + 250 1554304330.664 * * [misc]simplify: Extracting #5: cost 5 inf + 737 1554304330.664 * * [misc]simplify: Extracting #6: cost 0 inf + 1386 1554304330.665 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1554304330.665 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))))) 1554304330.666 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ k 2))) 1554304330.666 * * [misc]simplify: iters left: 6 (14 enodes) 1554304330.675 * * [misc]simplify: iters left: 5 (47 enodes) 1554304330.689 * * [misc]simplify: iters left: 4 (57 enodes) 1554304330.706 * * [misc]simplify: iters left: 3 (61 enodes) 1554304330.723 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.723 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.723 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304330.723 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554304330.723 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1554304330.724 * * [misc]simplify: Extracting #5: cost 11 inf + 1546 1554304330.725 * * [misc]simplify: Extracting #6: cost 1 inf + 5532 1554304330.726 * * [misc]simplify: Extracting #7: cost 0 inf + 6237 1554304330.727 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt (sqrt k))) 1554304330.727 * [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))))) 1554304330.728 * * * * [misc]progress: [ 201 / 260 ] simplifiying candidate # 1554304330.728 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304330.728 * * [misc]simplify: iters left: 6 (13 enodes) 1554304330.734 * * [misc]simplify: iters left: 5 (43 enodes) 1554304330.741 * * [misc]simplify: iters left: 4 (54 enodes) 1554304330.749 * * [misc]simplify: iters left: 3 (58 enodes) 1554304330.757 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.757 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304330.757 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304330.757 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304330.757 * * [misc]simplify: Extracting #4: cost 16 inf + 1 1554304330.757 * * [misc]simplify: Extracting #5: cost 19 inf + 2 1554304330.757 * * [misc]simplify: Extracting #6: cost 23 inf + 3 1554304330.757 * * [misc]simplify: Extracting #7: cost 21 inf + 46 1554304330.758 * * [misc]simplify: Extracting #8: cost 12 inf + 1342 1554304330.758 * * [misc]simplify: Extracting #9: cost 0 inf + 6309 1554304330.759 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304330.759 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.759 * * [misc]simplify: iters left: 6 (16 enodes) 1554304330.766 * * [misc]simplify: iters left: 5 (55 enodes) 1554304330.782 * * [misc]simplify: iters left: 4 (67 enodes) 1554304330.803 * * [misc]simplify: iters left: 3 (71 enodes) 1554304330.822 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.822 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.822 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304330.822 * * [misc]simplify: Extracting #3: cost 25 inf + 83 1554304330.822 * * [misc]simplify: Extracting #4: cost 25 inf + 129 1554304330.823 * * [misc]simplify: Extracting #5: cost 12 inf + 2550 1554304330.823 * * [misc]simplify: Extracting #6: cost 2 inf + 6814 1554304330.824 * * [misc]simplify: Extracting #7: cost 0 inf + 8226 1554304330.825 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))) 1554304330.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))) 1554304330.825 * * * * [misc]progress: [ 202 / 260 ] simplifiying candidate # 1554304330.825 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.825 * * [misc]simplify: iters left: 6 (12 enodes) 1554304330.829 * * [misc]simplify: iters left: 5 (38 enodes) 1554304330.834 * * [misc]simplify: iters left: 4 (45 enodes) 1554304330.841 * * [misc]simplify: iters left: 3 (47 enodes) 1554304330.848 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.848 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304330.848 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304330.848 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304330.848 * * [misc]simplify: Extracting #4: cost 10 inf + 1 1554304330.848 * * [misc]simplify: Extracting #5: cost 13 inf + 2 1554304330.848 * * [misc]simplify: Extracting #6: cost 17 inf + 3 1554304330.848 * * [misc]simplify: Extracting #7: cost 15 inf + 46 1554304330.848 * * [misc]simplify: Extracting #8: cost 8 inf + 501 1554304330.849 * * [misc]simplify: Extracting #9: cost 4 inf + 1759 1554304330.849 * * [misc]simplify: Extracting #10: cost 2 inf + 2549 1554304330.850 * * [misc]simplify: Extracting #11: cost 0 inf + 3339 1554304330.851 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304330.851 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304330.851 * * [misc]simplify: iters left: 6 (16 enodes) 1554304330.856 * * [misc]simplify: iters left: 5 (55 enodes) 1554304330.865 * * [misc]simplify: iters left: 4 (67 enodes) 1554304330.875 * * [misc]simplify: iters left: 3 (71 enodes) 1554304330.890 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.890 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304330.890 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304330.890 * * [misc]simplify: Extracting #3: cost 25 inf + 83 1554304330.890 * * [misc]simplify: Extracting #4: cost 25 inf + 129 1554304330.891 * * [misc]simplify: Extracting #5: cost 12 inf + 2550 1554304330.892 * * [misc]simplify: Extracting #6: cost 2 inf + 6574 1554304330.894 * * [misc]simplify: Extracting #7: cost 0 inf + 7906 1554304330.896 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))) 1554304330.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))) 1554304330.896 * * * * [misc]progress: [ 203 / 260 ] simplifiying candidate # 1554304330.896 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1554304330.896 * * [misc]simplify: iters left: 4 (3 enodes) 1554304330.898 * * [misc]simplify: iters left: 3 (7 enodes) 1554304330.901 * * [misc]simplify: iters left: 2 (9 enodes) 1554304330.903 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.903 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304330.903 * [exit]simplify: Simplified to 1 1554304330.903 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304330.904 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304330.904 * * [misc]simplify: iters left: 6 (15 enodes) 1554304330.913 * * [misc]simplify: iters left: 5 (54 enodes) 1554304330.922 * * [misc]simplify: iters left: 4 (70 enodes) 1554304330.932 * * [misc]simplify: iters left: 3 (83 enodes) 1554304330.949 * * [misc]simplify: iters left: 2 (108 enodes) 1554304330.979 * * [misc]simplify: iters left: 1 (124 enodes) 1554304330.997 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304330.997 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304330.997 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304330.998 * * [misc]simplify: Extracting #3: cost 29 inf + 85 1554304330.998 * * [misc]simplify: Extracting #4: cost 28 inf + 130 1554304330.998 * * [misc]simplify: Extracting #5: cost 14 inf + 3380 1554304330.999 * * [misc]simplify: Extracting #6: cost 1 inf + 8411 1554304331.000 * * [misc]simplify: Extracting #7: cost 0 inf + 8996 1554304331.002 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304331.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304331.002 * * * * [misc]progress: [ 204 / 260 ] simplifiying candidate # 1554304331.002 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1554304331.002 * * [misc]simplify: iters left: 4 (3 enodes) 1554304331.003 * * [misc]simplify: iters left: 3 (7 enodes) 1554304331.004 * * [misc]simplify: iters left: 2 (9 enodes) 1554304331.006 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.006 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304331.006 * [exit]simplify: Simplified to 1 1554304331.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.006 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304331.006 * * [misc]simplify: iters left: 6 (15 enodes) 1554304331.011 * * [misc]simplify: iters left: 5 (54 enodes) 1554304331.023 * * [misc]simplify: iters left: 4 (70 enodes) 1554304331.042 * * [misc]simplify: iters left: 3 (83 enodes) 1554304331.065 * * [misc]simplify: iters left: 2 (108 enodes) 1554304331.092 * * [misc]simplify: iters left: 1 (124 enodes) 1554304331.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.109 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304331.109 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304331.109 * * [misc]simplify: Extracting #3: cost 29 inf + 85 1554304331.109 * * [misc]simplify: Extracting #4: cost 28 inf + 130 1554304331.110 * * [misc]simplify: Extracting #5: cost 14 inf + 3380 1554304331.111 * * [misc]simplify: Extracting #6: cost 1 inf + 8411 1554304331.112 * * [misc]simplify: Extracting #7: cost 0 inf + 8996 1554304331.113 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304331.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304331.113 * * * * [misc]progress: [ 205 / 260 ] simplifiying candidate # 1554304331.114 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow PI 1/2))) 1554304331.114 * * [misc]simplify: iters left: 5 (7 enodes) 1554304331.116 * * [misc]simplify: iters left: 4 (24 enodes) 1554304331.121 * * [misc]simplify: iters left: 3 (26 enodes) 1554304331.125 * * [misc]simplify: iters left: 2 (30 enodes) 1554304331.128 * * [misc]simplify: iters left: 1 (32 enodes) 1554304331.133 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.133 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304331.133 * * [misc]simplify: Extracting #2: cost 3 inf + 44 1554304331.133 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554304331.133 * [exit]simplify: Simplified to (sqrt PI) 1554304331.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304331.133 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304331.134 * * [misc]simplify: iters left: 6 (13 enodes) 1554304331.140 * * [misc]simplify: iters left: 5 (44 enodes) 1554304331.152 * * [misc]simplify: iters left: 4 (54 enodes) 1554304331.167 * * [misc]simplify: iters left: 3 (58 enodes) 1554304331.180 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.180 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.180 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304331.180 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1554304331.180 * * [misc]simplify: Extracting #4: cost 20 inf + 129 1554304331.181 * * [misc]simplify: Extracting #5: cost 6 inf + 3635 1554304331.181 * * [misc]simplify: Extracting #6: cost 1 inf + 5170 1554304331.182 * * [misc]simplify: Extracting #7: cost 0 inf + 5835 1554304331.182 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304331.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304331.183 * * * * [misc]progress: [ 206 / 260 ] simplifiying candidate # 1554304331.183 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.183 * * [misc]simplify: iters left: 6 (12 enodes) 1554304331.186 * * [misc]simplify: iters left: 5 (42 enodes) 1554304331.193 * * [misc]simplify: iters left: 4 (51 enodes) 1554304331.204 * * [misc]simplify: iters left: 3 (53 enodes) 1554304331.220 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.220 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304331.220 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304331.220 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304331.220 * * [misc]simplify: Extracting #4: cost 14 inf + 1 1554304331.220 * * [misc]simplify: Extracting #5: cost 17 inf + 2 1554304331.220 * * [misc]simplify: Extracting #6: cost 21 inf + 3 1554304331.220 * * [misc]simplify: Extracting #7: cost 17 inf + 170 1554304331.221 * * [misc]simplify: Extracting #8: cost 7 inf + 2174 1554304331.222 * * [misc]simplify: Extracting #9: cost 2 inf + 4489 1554304331.223 * * [misc]simplify: Extracting #10: cost 0 inf + 5399 1554304331.224 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.224 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304331.224 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.224 * * [misc]simplify: iters left: 6 (16 enodes) 1554304331.231 * * [misc]simplify: iters left: 5 (55 enodes) 1554304331.249 * * [misc]simplify: iters left: 4 (67 enodes) 1554304331.267 * * [misc]simplify: iters left: 3 (71 enodes) 1554304331.278 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.278 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.278 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304331.278 * * [misc]simplify: Extracting #3: cost 25 inf + 83 1554304331.278 * * [misc]simplify: Extracting #4: cost 25 inf + 129 1554304331.278 * * [misc]simplify: Extracting #5: cost 12 inf + 2550 1554304331.279 * * [misc]simplify: Extracting #6: cost 2 inf + 6814 1554304331.280 * * [misc]simplify: Extracting #7: cost 0 inf + 8226 1554304331.281 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))) 1554304331.281 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))) 1554304331.281 * * * * [misc]progress: [ 207 / 260 ] simplifiying candidate # 1554304331.281 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.281 * * [misc]simplify: iters left: 6 (11 enodes) 1554304331.284 * * [misc]simplify: iters left: 5 (37 enodes) 1554304331.291 * * [misc]simplify: iters left: 4 (44 enodes) 1554304331.304 * * [misc]simplify: iters left: 3 (46 enodes) 1554304331.318 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.318 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304331.318 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304331.318 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304331.318 * * [misc]simplify: Extracting #4: cost 10 inf + 1 1554304331.318 * * [misc]simplify: Extracting #5: cost 13 inf + 2 1554304331.318 * * [misc]simplify: Extracting #6: cost 17 inf + 3 1554304331.318 * * [misc]simplify: Extracting #7: cost 13 inf + 170 1554304331.319 * * [misc]simplify: Extracting #8: cost 7 inf + 795 1554304331.319 * * [misc]simplify: Extracting #9: cost 3 inf + 2134 1554304331.320 * * [misc]simplify: Extracting #10: cost 0 inf + 3339 1554304331.321 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304331.321 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.321 * * [misc]simplify: iters left: 6 (16 enodes) 1554304331.330 * * [misc]simplify: iters left: 5 (55 enodes) 1554304331.346 * * [misc]simplify: iters left: 4 (67 enodes) 1554304331.358 * * [misc]simplify: iters left: 3 (71 enodes) 1554304331.369 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.369 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.369 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554304331.369 * * [misc]simplify: Extracting #3: cost 25 inf + 83 1554304331.370 * * [misc]simplify: Extracting #4: cost 25 inf + 129 1554304331.370 * * [misc]simplify: Extracting #5: cost 12 inf + 2550 1554304331.370 * * [misc]simplify: Extracting #6: cost 2 inf + 6574 1554304331.371 * * [misc]simplify: Extracting #7: cost 0 inf + 7906 1554304331.372 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))) 1554304331.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))) 1554304331.372 * * * * [misc]progress: [ 208 / 260 ] simplifiying candidate # 1554304331.372 * [enter]simplify: Simplifying (/ 1 1) 1554304331.372 * * [misc]simplify: iters left: 2 (2 enodes) 1554304331.373 * * [misc]simplify: iters left: 1 (6 enodes) 1554304331.375 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.375 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304331.375 * [exit]simplify: Simplified to 1 1554304331.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.375 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304331.375 * * [misc]simplify: iters left: 6 (15 enodes) 1554304331.379 * * [misc]simplify: iters left: 5 (54 enodes) 1554304331.389 * * [misc]simplify: iters left: 4 (70 enodes) 1554304331.410 * * [misc]simplify: iters left: 3 (83 enodes) 1554304331.437 * * [misc]simplify: iters left: 2 (108 enodes) 1554304331.468 * * [misc]simplify: iters left: 1 (124 enodes) 1554304331.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.503 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304331.503 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304331.503 * * [misc]simplify: Extracting #3: cost 29 inf + 85 1554304331.503 * * [misc]simplify: Extracting #4: cost 28 inf + 130 1554304331.504 * * [misc]simplify: Extracting #5: cost 14 inf + 3380 1554304331.506 * * [misc]simplify: Extracting #6: cost 1 inf + 8411 1554304331.508 * * [misc]simplify: Extracting #7: cost 0 inf + 8996 1554304331.511 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304331.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304331.512 * * * * [misc]progress: [ 209 / 260 ] simplifiying candidate # 1554304331.512 * [enter]simplify: Simplifying (/ 1 1) 1554304331.512 * * [misc]simplify: iters left: 2 (2 enodes) 1554304331.514 * * [misc]simplify: iters left: 1 (6 enodes) 1554304331.516 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.516 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304331.516 * [exit]simplify: Simplified to 1 1554304331.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.517 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304331.517 * * [misc]simplify: iters left: 6 (15 enodes) 1554304331.525 * * [misc]simplify: iters left: 5 (54 enodes) 1554304331.541 * * [misc]simplify: iters left: 4 (70 enodes) 1554304331.561 * * [misc]simplify: iters left: 3 (83 enodes) 1554304331.574 * * [misc]simplify: iters left: 2 (108 enodes) 1554304331.589 * * [misc]simplify: iters left: 1 (124 enodes) 1554304331.613 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.613 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554304331.613 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554304331.613 * * [misc]simplify: Extracting #3: cost 29 inf + 85 1554304331.613 * * [misc]simplify: Extracting #4: cost 28 inf + 130 1554304331.614 * * [misc]simplify: Extracting #5: cost 14 inf + 3380 1554304331.615 * * [misc]simplify: Extracting #6: cost 1 inf + 8411 1554304331.616 * * [misc]simplify: Extracting #7: cost 0 inf + 8996 1554304331.618 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554304331.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1554304331.618 * * * * [misc]progress: [ 210 / 260 ] simplifiying candidate # 1554304331.618 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI 1/2))) 1554304331.618 * * [misc]simplify: iters left: 5 (6 enodes) 1554304331.621 * * [misc]simplify: iters left: 4 (21 enodes) 1554304331.624 * * [misc]simplify: iters left: 3 (24 enodes) 1554304331.628 * * [misc]simplify: iters left: 2 (28 enodes) 1554304331.632 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.632 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304331.632 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1554304331.632 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554304331.632 * [exit]simplify: Simplified to (sqrt PI) 1554304331.632 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304331.633 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304331.633 * * [misc]simplify: iters left: 6 (13 enodes) 1554304331.636 * * [misc]simplify: iters left: 5 (44 enodes) 1554304331.648 * * [misc]simplify: iters left: 4 (54 enodes) 1554304331.656 * * [misc]simplify: iters left: 3 (58 enodes) 1554304331.664 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.664 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.664 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554304331.664 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1554304331.664 * * [misc]simplify: Extracting #4: cost 20 inf + 129 1554304331.664 * * [misc]simplify: Extracting #5: cost 6 inf + 3635 1554304331.665 * * [misc]simplify: Extracting #6: cost 1 inf + 5170 1554304331.665 * * [misc]simplify: Extracting #7: cost 0 inf + 5835 1554304331.666 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))) 1554304331.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (/ k 2))))) 1554304331.666 * * * * [misc]progress: [ 211 / 260 ] simplifiying candidate # 1554304331.666 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.666 * * [misc]simplify: iters left: 6 (15 enodes) 1554304331.671 * * [misc]simplify: iters left: 5 (52 enodes) 1554304331.679 * * [misc]simplify: iters left: 4 (61 enodes) 1554304331.695 * * [misc]simplify: iters left: 3 (63 enodes) 1554304331.711 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.711 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304331.711 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304331.711 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1554304331.712 * * [misc]simplify: Extracting #4: cost 25 inf + 4 1554304331.712 * * [misc]simplify: Extracting #5: cost 20 inf + 174 1554304331.712 * * [misc]simplify: Extracting #6: cost 6 inf + 3796 1554304331.713 * * [misc]simplify: Extracting #7: cost 0 inf + 7156 1554304331.713 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304331.714 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.714 * * [misc]simplify: iters left: 6 (13 enodes) 1554304331.717 * * [misc]simplify: iters left: 5 (45 enodes) 1554304331.724 * * [misc]simplify: iters left: 4 (57 enodes) 1554304331.732 * * [misc]simplify: iters left: 3 (61 enodes) 1554304331.748 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.748 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.748 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304331.748 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554304331.748 * * [misc]simplify: Extracting #4: cost 15 inf + 166 1554304331.748 * * [misc]simplify: Extracting #5: cost 17 inf + 249 1554304331.748 * * [misc]simplify: Extracting #6: cost 20 inf + 250 1554304331.748 * * [misc]simplify: Extracting #7: cost 13 inf + 958 1554304331.749 * * [misc]simplify: Extracting #8: cost 3 inf + 4440 1554304331.749 * * [misc]simplify: Extracting #9: cost 0 inf + 5805 1554304331.750 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304331.750 * * * * [misc]progress: [ 212 / 260 ] simplifiying candidate # 1554304331.750 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.751 * * [misc]simplify: iters left: 6 (14 enodes) 1554304331.754 * * [misc]simplify: iters left: 5 (47 enodes) 1554304331.762 * * [misc]simplify: iters left: 4 (54 enodes) 1554304331.769 * * [misc]simplify: iters left: 3 (56 enodes) 1554304331.782 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.782 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304331.782 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304331.782 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304331.782 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554304331.782 * * [misc]simplify: Extracting #5: cost 16 inf + 173 1554304331.783 * * [misc]simplify: Extracting #6: cost 4 inf + 3177 1554304331.784 * * [misc]simplify: Extracting #7: cost 0 inf + 4594 1554304331.785 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304331.785 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.785 * * [misc]simplify: iters left: 6 (13 enodes) 1554304331.792 * * [misc]simplify: iters left: 5 (45 enodes) 1554304331.802 * * [misc]simplify: iters left: 4 (57 enodes) 1554304331.811 * * [misc]simplify: iters left: 3 (61 enodes) 1554304331.819 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.820 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.820 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304331.820 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554304331.820 * * [misc]simplify: Extracting #4: cost 15 inf + 166 1554304331.820 * * [misc]simplify: Extracting #5: cost 17 inf + 249 1554304331.820 * * [misc]simplify: Extracting #6: cost 20 inf + 250 1554304331.820 * * [misc]simplify: Extracting #7: cost 13 inf + 958 1554304331.821 * * [misc]simplify: Extracting #8: cost 3 inf + 4240 1554304331.821 * * [misc]simplify: Extracting #9: cost 0 inf + 5485 1554304331.822 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304331.822 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))))) 1554304331.822 * * * * [misc]progress: [ 213 / 260 ] simplifiying candidate # 1554304331.823 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1554304331.823 * * [misc]simplify: iters left: 6 (10 enodes) 1554304331.826 * * [misc]simplify: iters left: 5 (33 enodes) 1554304331.831 * * [misc]simplify: iters left: 4 (40 enodes) 1554304331.837 * * [misc]simplify: iters left: 3 (42 enodes) 1554304331.843 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.843 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304331.843 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304331.843 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304331.843 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554304331.844 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554304331.844 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304331.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.844 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304331.844 * * [misc]simplify: iters left: 6 (12 enodes) 1554304331.850 * * [misc]simplify: iters left: 5 (44 enodes) 1554304331.864 * * [misc]simplify: iters left: 4 (60 enodes) 1554304331.882 * * [misc]simplify: iters left: 3 (70 enodes) 1554304331.906 * * [misc]simplify: iters left: 2 (113 enodes) 1554304331.926 * * [misc]simplify: iters left: 1 (123 enodes) 1554304331.942 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.942 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304331.942 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554304331.942 * * [misc]simplify: Extracting #3: cost 17 inf + 3 1554304331.943 * * [misc]simplify: Extracting #4: cost 16 inf + 250 1554304331.943 * * [misc]simplify: Extracting #5: cost 9 inf + 917 1554304331.944 * * [misc]simplify: Extracting #6: cost 2 inf + 2753 1554304331.945 * * [misc]simplify: Extracting #7: cost 0 inf + 3501 1554304331.947 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1554304331.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1554304331.947 * * * * [misc]progress: [ 214 / 260 ] simplifiying candidate # 1554304331.947 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1554304331.947 * * [misc]simplify: iters left: 6 (10 enodes) 1554304331.953 * * [misc]simplify: iters left: 5 (33 enodes) 1554304331.958 * * [misc]simplify: iters left: 4 (40 enodes) 1554304331.965 * * [misc]simplify: iters left: 3 (42 enodes) 1554304331.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304331.972 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304331.972 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304331.972 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554304331.972 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554304331.973 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554304331.973 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304331.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304331.973 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304331.973 * * [misc]simplify: iters left: 6 (12 enodes) 1554304331.977 * * [misc]simplify: iters left: 5 (44 enodes) 1554304331.984 * * [misc]simplify: iters left: 4 (60 enodes) 1554304331.993 * * [misc]simplify: iters left: 3 (70 enodes) 1554304332.019 * * [misc]simplify: iters left: 2 (113 enodes) 1554304332.053 * * [misc]simplify: iters left: 1 (123 enodes) 1554304332.081 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.081 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304332.081 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554304332.081 * * [misc]simplify: Extracting #3: cost 17 inf + 3 1554304332.081 * * [misc]simplify: Extracting #4: cost 16 inf + 250 1554304332.081 * * [misc]simplify: Extracting #5: cost 9 inf + 917 1554304332.082 * * [misc]simplify: Extracting #6: cost 2 inf + 2753 1554304332.083 * * [misc]simplify: Extracting #7: cost 0 inf + 3501 1554304332.083 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1554304332.083 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1554304332.083 * * * * [misc]progress: [ 215 / 260 ] simplifiying candidate # 1554304332.084 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554304332.084 * * [misc]simplify: iters left: 6 (13 enodes) 1554304332.088 * * [misc]simplify: iters left: 5 (47 enodes) 1554304332.095 * * [misc]simplify: iters left: 4 (55 enodes) 1554304332.105 * * [misc]simplify: iters left: 3 (64 enodes) 1554304332.123 * * [misc]simplify: iters left: 2 (65 enodes) 1554304332.142 * * [misc]simplify: iters left: 1 (67 enodes) 1554304332.152 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.152 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304332.152 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554304332.152 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554304332.152 * * [misc]simplify: Extracting #4: cost 17 inf + 169 1554304332.152 * * [misc]simplify: Extracting #5: cost 12 inf + 419 1554304332.153 * * [misc]simplify: Extracting #6: cost 2 inf + 2290 1554304332.153 * * [misc]simplify: Extracting #7: cost 0 inf + 3080 1554304332.154 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) 1554304332.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (/ (/ 1 (sqrt k)) (pow PI (/ k 2))))) 1554304332.154 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (pow PI (/ k 2))) 1554304332.154 * * [misc]simplify: iters left: 5 (9 enodes) 1554304332.156 * * [misc]simplify: iters left: 4 (31 enodes) 1554304332.161 * * [misc]simplify: iters left: 3 (38 enodes) 1554304332.166 * * [misc]simplify: iters left: 2 (40 enodes) 1554304332.172 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.172 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554304332.172 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554304332.172 * * [misc]simplify: Extracting #3: cost 15 inf + 3 1554304332.172 * * [misc]simplify: Extracting #4: cost 11 inf + 168 1554304332.173 * * [misc]simplify: Extracting #5: cost 6 inf + 920 1554304332.173 * * [misc]simplify: Extracting #6: cost 1 inf + 2548 1554304332.173 * * [misc]simplify: Extracting #7: cost 0 inf + 2842 1554304332.174 * [exit]simplify: Simplified to (/ 1 (* (pow PI (/ k 2)) (sqrt k))) 1554304332.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (* (pow PI (/ k 2)) (sqrt k))))) 1554304332.174 * * * * [misc]progress: [ 216 / 260 ] simplifiying candidate # 1554304332.174 * * * * [misc]progress: [ 217 / 260 ] simplifiying candidate # 1554304332.174 * * * * [misc]progress: [ 218 / 260 ] simplifiying candidate # 1554304332.174 * * * * [misc]progress: [ 219 / 260 ] simplifiying candidate # 1554304332.174 * [enter]simplify: Simplifying (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304332.174 * * [misc]simplify: iters left: 6 (10 enodes) 1554304332.177 * * [misc]simplify: iters left: 5 (34 enodes) 1554304332.188 * * [misc]simplify: iters left: 4 (41 enodes) 1554304332.199 * * [misc]simplify: iters left: 3 (43 enodes) 1554304332.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.212 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304332.212 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304332.212 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554304332.212 * * [misc]simplify: Extracting #4: cost 11 inf + 2 1554304332.212 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554304332.212 * * [misc]simplify: Extracting #6: cost 12 inf + 89 1554304332.212 * * [misc]simplify: Extracting #7: cost 4 inf + 1089 1554304332.213 * * [misc]simplify: Extracting #8: cost 0 inf + 2589 1554304332.214 * [exit]simplify: Simplified to (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304332.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304332.214 * * * * [misc]progress: [ 220 / 260 ] simplifiying candidate # 1554304332.214 * [enter]simplify: Simplifying (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304332.214 * * [misc]simplify: iters left: 6 (10 enodes) 1554304332.220 * * [misc]simplify: iters left: 5 (34 enodes) 1554304332.231 * * [misc]simplify: iters left: 4 (41 enodes) 1554304332.243 * * [misc]simplify: iters left: 3 (43 enodes) 1554304332.258 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.259 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304332.259 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304332.259 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554304332.259 * * [misc]simplify: Extracting #4: cost 11 inf + 2 1554304332.259 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554304332.259 * * [misc]simplify: Extracting #6: cost 12 inf + 89 1554304332.259 * * [misc]simplify: Extracting #7: cost 4 inf + 1089 1554304332.260 * * [misc]simplify: Extracting #8: cost 0 inf + 2509 1554304332.261 * [exit]simplify: Simplified to (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554304332.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1554304332.261 * * * * [misc]progress: [ 221 / 260 ] simplifiying candidate # 1554304332.261 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554304332.261 * * [misc]simplify: iters left: 6 (9 enodes) 1554304332.267 * * [misc]simplify: iters left: 5 (31 enodes) 1554304332.279 * * [misc]simplify: iters left: 4 (38 enodes) 1554304332.292 * * [misc]simplify: iters left: 3 (40 enodes) 1554304332.304 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.304 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.304 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304332.304 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304332.304 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554304332.304 * * [misc]simplify: Extracting #5: cost 10 inf + 129 1554304332.305 * * [misc]simplify: Extracting #6: cost 4 inf + 754 1554304332.305 * * [misc]simplify: Extracting #7: cost 0 inf + 1759 1554304332.305 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554304332.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304332.306 * * * * [misc]progress: [ 222 / 260 ] simplifiying candidate # 1554304332.306 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554304332.306 * * [misc]simplify: iters left: 6 (9 enodes) 1554304332.311 * * [misc]simplify: iters left: 5 (31 enodes) 1554304332.322 * * [misc]simplify: iters left: 4 (38 enodes) 1554304332.333 * * [misc]simplify: iters left: 3 (40 enodes) 1554304332.345 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.345 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.345 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304332.345 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554304332.345 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554304332.345 * * [misc]simplify: Extracting #5: cost 10 inf + 129 1554304332.345 * * [misc]simplify: Extracting #6: cost 4 inf + 754 1554304332.346 * * [misc]simplify: Extracting #7: cost 0 inf + 1759 1554304332.346 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554304332.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304332.347 * * * * [misc]progress: [ 223 / 260 ] simplifiying candidate # 1554304332.347 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554304332.347 * * [misc]simplify: iters left: 3 (5 enodes) 1554304332.350 * * [misc]simplify: iters left: 2 (15 enodes) 1554304332.354 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.354 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.354 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304332.354 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554304332.355 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554304332.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI 1/2))) (pow PI (/ k 2)))) 1554304332.355 * * * * [misc]progress: [ 224 / 260 ] simplifiying candidate # 1554304332.355 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1554304332.355 * * [misc]simplify: iters left: 6 (12 enodes) 1554304332.361 * * [misc]simplify: iters left: 5 (39 enodes) 1554304332.371 * * [misc]simplify: iters left: 4 (44 enodes) 1554304332.377 * * [misc]simplify: iters left: 3 (46 enodes) 1554304332.385 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.385 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304332.385 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554304332.385 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554304332.385 * * [misc]simplify: Extracting #4: cost 13 inf + 0 1554304332.385 * * [misc]simplify: Extracting #5: cost 17 inf + 83 1554304332.385 * * [misc]simplify: Extracting #6: cost 16 inf + 128 1554304332.385 * * [misc]simplify: Extracting #7: cost 6 inf + 2039 1554304332.386 * * [misc]simplify: Extracting #8: cost 0 inf + 4218 1554304332.386 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1554304332.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1554304332.386 * * * * [misc]progress: [ 225 / 260 ] simplifiying candidate # 1554304332.387 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304332.387 * * [misc]simplify: iters left: 6 (11 enodes) 1554304332.390 * * [misc]simplify: iters left: 5 (36 enodes) 1554304332.396 * * [misc]simplify: iters left: 4 (41 enodes) 1554304332.407 * * [misc]simplify: iters left: 3 (43 enodes) 1554304332.420 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.420 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554304332.420 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554304332.420 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554304332.420 * * [misc]simplify: Extracting #4: cost 16 inf + 42 1554304332.421 * * [misc]simplify: Extracting #5: cost 13 inf + 210 1554304332.421 * * [misc]simplify: Extracting #6: cost 5 inf + 1373 1554304332.422 * * [misc]simplify: Extracting #7: cost 0 inf + 3070 1554304332.422 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554304332.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1554304332.423 * * * * [misc]progress: [ 226 / 260 ] simplifiying candidate # 1554304332.423 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.423 * * [misc]simplify: iters left: 6 (10 enodes) 1554304332.428 * * [misc]simplify: iters left: 5 (34 enodes) 1554304332.438 * * [misc]simplify: iters left: 4 (36 enodes) 1554304332.449 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.449 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304332.449 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304332.449 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304332.449 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304332.449 * * [misc]simplify: Extracting #5: cost 9 inf + 291 1554304332.450 * * [misc]simplify: Extracting #6: cost 3 inf + 1342 1554304332.450 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 1554304332.451 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1554304332.451 * * * * [misc]progress: [ 227 / 260 ] simplifiying candidate # 1554304332.451 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1554304332.452 * * [misc]simplify: iters left: 5 (9 enodes) 1554304332.456 * * [misc]simplify: iters left: 4 (29 enodes) 1554304332.461 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.461 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.461 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304332.461 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304332.461 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1554304332.461 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1554304332.461 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1554304332.461 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304332.461 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1554304332.462 * * * * [misc]progress: [ 228 / 260 ] simplifiying candidate # 1554304332.462 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554304332.462 * * [misc]simplify: iters left: 5 (7 enodes) 1554304332.464 * * [misc]simplify: iters left: 4 (23 enodes) 1554304332.468 * * [misc]simplify: iters left: 3 (27 enodes) 1554304332.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.472 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304332.472 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304332.472 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304332.472 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304332.472 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304332.473 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304332.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n 2)) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1554304332.473 * * * * [misc]progress: [ 229 / 260 ] simplifiying candidate # 1554304332.473 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.473 * * [misc]simplify: iters left: 6 (10 enodes) 1554304332.476 * * [misc]simplify: iters left: 5 (34 enodes) 1554304332.481 * * [misc]simplify: iters left: 4 (36 enodes) 1554304332.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.487 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304332.487 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304332.487 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554304332.487 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304332.487 * * [misc]simplify: Extracting #5: cost 9 inf + 291 1554304332.488 * * [misc]simplify: Extracting #6: cost 3 inf + 1342 1554304332.488 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 1554304332.489 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1554304332.489 * * * * [misc]progress: [ 230 / 260 ] simplifiying candidate # 1554304332.489 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1554304332.489 * * [misc]simplify: iters left: 5 (9 enodes) 1554304332.494 * * [misc]simplify: iters left: 4 (29 enodes) 1554304332.501 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.502 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.502 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304332.502 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304332.502 * * [misc]simplify: Extracting #4: cost 10 inf + 4 1554304332.502 * * [misc]simplify: Extracting #5: cost 3 inf + 415 1554304332.502 * * [misc]simplify: Extracting #6: cost 0 inf + 902 1554304332.503 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554304332.503 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1554304332.503 * * * * [misc]progress: [ 231 / 260 ] simplifiying candidate # 1554304332.503 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554304332.503 * * [misc]simplify: iters left: 5 (7 enodes) 1554304332.508 * * [misc]simplify: iters left: 4 (23 enodes) 1554304332.517 * * [misc]simplify: iters left: 3 (27 enodes) 1554304332.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.522 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304332.522 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554304332.522 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554304332.522 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554304332.523 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554304332.523 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554304332.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n 2)) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1554304332.523 * * * * [misc]progress: [ 232 / 260 ] simplifiying candidate # 1554304332.523 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.523 * * [misc]simplify: iters left: 6 (11 enodes) 1554304332.526 * * [misc]simplify: iters left: 5 (37 enodes) 1554304332.531 * * [misc]simplify: iters left: 4 (44 enodes) 1554304332.538 * * [misc]simplify: iters left: 3 (46 enodes) 1554304332.544 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.544 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304332.544 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554304332.544 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554304332.544 * * [misc]simplify: Extracting #4: cost 19 inf + 44 1554304332.544 * * [misc]simplify: Extracting #5: cost 13 inf + 612 1554304332.545 * * [misc]simplify: Extracting #6: cost 7 inf + 1063 1554304332.546 * * [misc]simplify: Extracting #7: cost 0 inf + 3630 1554304332.546 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304332.547 * * * * [misc]progress: [ 233 / 260 ] simplifiying candidate # 1554304332.547 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304332.547 * * [misc]simplify: iters left: 6 (10 enodes) 1554304332.552 * * [misc]simplify: iters left: 5 (32 enodes) 1554304332.562 * * [misc]simplify: iters left: 4 (37 enodes) 1554304332.571 * * [misc]simplify: iters left: 3 (39 enodes) 1554304332.576 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.576 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.576 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554304332.576 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554304332.576 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554304332.577 * * [misc]simplify: Extracting #5: cost 11 inf + 289 1554304332.577 * * [misc]simplify: Extracting #6: cost 6 inf + 579 1554304332.577 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554304332.577 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554304332.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304332.577 * * * * [misc]progress: [ 234 / 260 ] simplifiying candidate # 1554304332.578 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554304332.578 * * [misc]simplify: iters left: 6 (9 enodes) 1554304332.580 * * [misc]simplify: iters left: 5 (29 enodes) 1554304332.585 * * [misc]simplify: iters left: 4 (36 enodes) 1554304332.590 * * [misc]simplify: iters left: 3 (38 enodes) 1554304332.596 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.596 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304332.596 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554304332.596 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554304332.596 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554304332.596 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554304332.596 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554304332.597 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554304332.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1554304332.597 * * * * [misc]progress: [ 235 / 260 ] simplifiying candidate # 1554304332.597 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.597 * * [misc]simplify: iters left: 6 (14 enodes) 1554304332.604 * * [misc]simplify: iters left: 5 (51 enodes) 1554304332.612 * * [misc]simplify: iters left: 4 (71 enodes) 1554304332.623 * * [misc]simplify: iters left: 3 (80 enodes) 1554304332.642 * * [misc]simplify: iters left: 2 (83 enodes) 1554304332.653 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.653 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554304332.653 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554304332.653 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554304332.653 * * [misc]simplify: Extracting #4: cost 33 inf + 1 1554304332.653 * * [misc]simplify: Extracting #5: cost 27 inf + 571 1554304332.654 * * [misc]simplify: Extracting #6: cost 14 inf + 3951 1554304332.655 * * [misc]simplify: Extracting #7: cost 3 inf + 9080 1554304332.656 * * [misc]simplify: Extracting #8: cost 0 inf + 10842 1554304332.657 * [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)))) 1554304332.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1554304332.657 * * * * [misc]progress: [ 236 / 260 ] simplifiying candidate # 1554304332.658 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554304332.658 * * [misc]simplify: iters left: 6 (13 enodes) 1554304332.661 * * [misc]simplify: iters left: 5 (44 enodes) 1554304332.667 * * [misc]simplify: iters left: 4 (53 enodes) 1554304332.683 * * [misc]simplify: iters left: 3 (58 enodes) 1554304332.693 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.693 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554304332.693 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554304332.693 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554304332.693 * * [misc]simplify: Extracting #4: cost 23 inf + 123 1554304332.693 * * [misc]simplify: Extracting #5: cost 20 inf + 290 1554304332.693 * * [misc]simplify: Extracting #6: cost 8 inf + 3309 1554304332.694 * * [misc]simplify: Extracting #7: cost 1 inf + 5942 1554304332.695 * * [misc]simplify: Extracting #8: cost 0 inf + 6516 1554304332.696 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554304332.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1554304332.696 * * * * [misc]progress: [ 237 / 260 ] simplifiying candidate # 1554304332.697 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554304332.697 * * [misc]simplify: iters left: 6 (12 enodes) 1554304332.700 * * [misc]simplify: iters left: 5 (41 enodes) 1554304332.707 * * [misc]simplify: iters left: 4 (56 enodes) 1554304332.721 * * [misc]simplify: iters left: 3 (59 enodes) 1554304332.733 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.733 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554304332.733 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304332.733 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554304332.733 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554304332.733 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554304332.733 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554304332.733 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554304332.734 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554304332.734 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554304332.735 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554304332.735 * [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))))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1554304332.735 * * * * [misc]progress: [ 238 / 260 ] simplifiying candidate # 1554304332.735 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.735 * * [misc]simplify: iters left: 6 (13 enodes) 1554304332.738 * * [misc]simplify: iters left: 5 (44 enodes) 1554304332.745 * * [misc]simplify: iters left: 4 (51 enodes) 1554304332.752 * * [misc]simplify: iters left: 3 (53 enodes) 1554304332.761 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.761 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304332.761 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554304332.761 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554304332.761 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554304332.762 * * [misc]simplify: Extracting #5: cost 16 inf + 692 1554304332.762 * * [misc]simplify: Extracting #6: cost 4 inf + 3339 1554304332.763 * * [misc]simplify: Extracting #7: cost 0 inf + 4862 1554304332.764 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1554304332.764 * * * * [misc]progress: [ 239 / 260 ] simplifiying candidate # 1554304332.764 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304332.765 * * [misc]simplify: iters left: 6 (12 enodes) 1554304332.770 * * [misc]simplify: iters left: 5 (39 enodes) 1554304332.780 * * [misc]simplify: iters left: 4 (44 enodes) 1554304332.791 * * [misc]simplify: iters left: 3 (46 enodes) 1554304332.803 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.803 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.803 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554304332.803 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554304332.803 * * [misc]simplify: Extracting #4: cost 17 inf + 83 1554304332.804 * * [misc]simplify: Extracting #5: cost 14 inf + 290 1554304332.804 * * [misc]simplify: Extracting #6: cost 6 inf + 1373 1554304332.805 * * [misc]simplify: Extracting #7: cost 2 inf + 2244 1554304332.805 * * [misc]simplify: Extracting #8: cost 0 inf + 3232 1554304332.806 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554304332.806 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1554304332.806 * * * * [misc]progress: [ 240 / 260 ] simplifiying candidate # 1554304332.806 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554304332.806 * * [misc]simplify: iters left: 6 (11 enodes) 1554304332.812 * * [misc]simplify: iters left: 5 (36 enodes) 1554304332.822 * * [misc]simplify: iters left: 4 (43 enodes) 1554304332.835 * * [misc]simplify: iters left: 3 (45 enodes) 1554304332.846 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.846 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.846 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554304332.846 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554304332.847 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554304332.847 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554304332.847 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554304332.847 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554304332.848 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554304332.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1554304332.848 * * * * [misc]progress: [ 241 / 260 ] simplifiying candidate # 1554304332.849 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.849 * * [misc]simplify: iters left: 6 (6 enodes) 1554304332.851 * * [misc]simplify: iters left: 5 (22 enodes) 1554304332.858 * * [misc]simplify: iters left: 4 (26 enodes) 1554304332.865 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.865 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554304332.865 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554304332.865 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554304332.865 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1554304332.865 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1554304332.866 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554304332.866 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554304332.866 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554304332.866 * * * * [misc]progress: [ 242 / 260 ] simplifiying candidate # 1554304332.867 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1554304332.867 * * [misc]simplify: iters left: 4 (5 enodes) 1554304332.869 * * [misc]simplify: iters left: 3 (17 enodes) 1554304332.874 * * [misc]simplify: iters left: 2 (19 enodes) 1554304332.880 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.880 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.880 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554304332.880 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554304332.880 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1554304332.881 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554304332.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554304332.881 * * * * [misc]progress: [ 243 / 260 ] simplifiying candidate # 1554304332.881 * [enter]simplify: Simplifying (/ 1 1) 1554304332.881 * * [misc]simplify: iters left: 2 (2 enodes) 1554304332.883 * * [misc]simplify: iters left: 1 (6 enodes) 1554304332.885 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.885 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554304332.885 * [exit]simplify: Simplified to 1 1554304332.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1554304332.886 * * * * [misc]progress: [ 244 / 260 ] simplifiying candidate # 1554304332.886 * * * * [misc]progress: [ 245 / 260 ] simplifiying candidate # 1554304332.886 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554304332.886 * * [misc]simplify: iters left: 5 (8 enodes) 1554304332.891 * * [misc]simplify: iters left: 4 (27 enodes) 1554304332.899 * * [misc]simplify: iters left: 3 (32 enodes) 1554304332.908 * * [misc]simplify: iters left: 2 (34 enodes) 1554304332.919 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.919 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.919 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554304332.919 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554304332.919 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554304332.919 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554304332.920 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554304332.920 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304332.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))) 1554304332.920 * * * * [misc]progress: [ 246 / 260 ] simplifiying candidate # 1554304332.921 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554304332.921 * * [misc]simplify: iters left: 5 (7 enodes) 1554304332.925 * * [misc]simplify: iters left: 4 (23 enodes) 1554304332.932 * * [misc]simplify: iters left: 3 (28 enodes) 1554304332.940 * * [misc]simplify: iters left: 2 (30 enodes) 1554304332.948 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.948 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.948 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554304332.948 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554304332.948 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554304332.948 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554304332.949 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554304332.949 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554304332.949 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554304332.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1) (pow PI (- 1/2 (/ k 2))))) 1554304332.949 * * * * [misc]progress: [ 247 / 260 ] simplifiying candidate # 1554304332.950 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554304332.950 * * [misc]simplify: iters left: 5 (8 enodes) 1554304332.954 * * [misc]simplify: iters left: 4 (27 enodes) 1554304332.963 * * [misc]simplify: iters left: 3 (32 enodes) 1554304332.973 * * [misc]simplify: iters left: 2 (34 enodes) 1554304332.983 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304332.983 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304332.983 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554304332.983 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554304332.983 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554304332.983 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554304332.984 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554304332.984 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554304332.984 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1554304332.984 * * * * [misc]progress: [ 248 / 260 ] simplifiying candidate #real (real->posit16 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2))))))))> 1554304332.984 * * * * [misc]progress: [ 249 / 260 ] simplifiying candidate # 1554304332.984 * [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)))) 1554304332.984 * * [misc]simplify: iters left: 6 (18 enodes) 1554304332.989 * * [misc]simplify: iters left: 5 (73 enodes) 1554304333.002 * * [misc]simplify: iters left: 4 (156 enodes) 1554304333.048 * * [misc]simplify: iters left: 3 (419 enodes) 1554304333.277 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304333.277 * * [misc]simplify: Extracting #1: cost 64 inf + 0 1554304333.278 * * [misc]simplify: Extracting #2: cost 169 inf + 45 1554304333.279 * * [misc]simplify: Extracting #3: cost 142 inf + 4101 1554304333.286 * * [misc]simplify: Extracting #4: cost 37 inf + 24927 1554304333.297 * * [misc]simplify: Extracting #5: cost 0 inf + 32694 1554304333.316 * * [misc]simplify: Extracting #6: cost 0 inf + 32341 1554304333.327 * [exit]simplify: Simplified to (* (fma (* k (log PI)) -1/2 (fma (* (* k (log PI)) (* k (log PI))) 1/8 1)) (sqrt PI)) 1554304333.327 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (* (fma (* k (log PI)) -1/2 (fma (* (* k (log PI)) (* k (log PI))) 1/8 1)) (sqrt PI))))) 1554304333.330 * * * * [misc]progress: [ 250 / 260 ] simplifiying candidate # 1554304333.330 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1554304333.330 * * [misc]simplify: iters left: 5 (6 enodes) 1554304333.332 * * [misc]simplify: iters left: 4 (21 enodes) 1554304333.336 * * [misc]simplify: iters left: 3 (31 enodes) 1554304333.340 * * [misc]simplify: iters left: 2 (42 enodes) 1554304333.346 * * [misc]simplify: iters left: 1 (50 enodes) 1554304333.354 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304333.354 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304333.354 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304333.354 * * [misc]simplify: Extracting #3: cost 12 inf + 45 1554304333.355 * * [misc]simplify: Extracting #4: cost 4 inf + 598 1554304333.355 * * [misc]simplify: Extracting #5: cost 0 inf + 993 1554304333.355 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1554304333.355 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (fma -1/2 k 1/2))))) 1554304333.355 * * * * [misc]progress: [ 251 / 260 ] simplifiying candidate # 1554304333.355 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1554304333.355 * * [misc]simplify: iters left: 5 (6 enodes) 1554304333.357 * * [misc]simplify: iters left: 4 (21 enodes) 1554304333.361 * * [misc]simplify: iters left: 3 (31 enodes) 1554304333.366 * * [misc]simplify: iters left: 2 (42 enodes) 1554304333.372 * * [misc]simplify: iters left: 1 (50 enodes) 1554304333.379 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304333.379 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554304333.379 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554304333.379 * * [misc]simplify: Extracting #3: cost 12 inf + 45 1554304333.380 * * [misc]simplify: Extracting #4: cost 4 inf + 598 1554304333.380 * * [misc]simplify: Extracting #5: cost 0 inf + 993 1554304333.380 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1554304333.380 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow PI (fma -1/2 k 1/2))))) 1554304333.380 * * * * [misc]progress: [ 252 / 260 ] simplifiying candidate # 1554304333.380 * [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))))) 1554304333.381 * * [misc]simplify: iters left: 6 (35 enodes) 1554304333.390 * * [misc]simplify: iters left: 5 (172 enodes) 1554304333.428 * * [misc]simplify: iters left: 4 (432 enodes) 1554304333.624 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304333.624 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1554304333.626 * * [misc]simplify: Extracting #2: cost 271 inf + 2 1554304333.632 * * [misc]simplify: Extracting #3: cost 341 inf + 11626 1554304333.666 * * [misc]simplify: Extracting #4: cost 126 inf + 88974 1554304333.705 * * [misc]simplify: Extracting #5: cost 5 inf + 158136 1554304333.778 * * [misc]simplify: Extracting #6: cost 0 inf + 160801 1554304333.829 * * [misc]simplify: Extracting #7: cost 0 inf + 160114 1554304333.890 * * [misc]simplify: Extracting #8: cost 0 inf + 160089 1554304333.962 * [exit]simplify: Simplified to (fma -1/2 (* (* (exp (* (+ (log 2) (log n)) 1/2)) (+ (log 2) (log n))) k) (+ (fma (* (* (log 2) (log 2)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (exp (* (+ (log 2) (log n)) 1/2))) (fma (* (* (log n) (log n)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (* (log 2) (* 1/4 (* (log n) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2))))))))) 1554304333.962 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (fma -1/2 (* (* (exp (* (+ (log 2) (log n)) 1/2)) (+ (log 2) (log n))) k) (+ (fma (* (* (log 2) (log 2)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (exp (* (+ (log 2) (log n)) 1/2))) (fma (* (* (log n) (log n)) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2)))) 1/8 (* (log 2) (* 1/4 (* (log n) (* (* k k) (exp (* (+ (log 2) (log n)) 1/2))))))))) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304333.963 * * * * [misc]progress: [ 253 / 260 ] simplifiying candidate # 1554304333.963 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1554304333.963 * * [misc]simplify: iters left: 6 (13 enodes) 1554304333.971 * * [misc]simplify: iters left: 5 (53 enodes) 1554304333.988 * * [misc]simplify: iters left: 4 (89 enodes) 1554304334.022 * * [misc]simplify: iters left: 3 (186 enodes) 1554304334.110 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304334.111 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304334.111 * * [misc]simplify: Extracting #2: cost 81 inf + 0 1554304334.112 * * [misc]simplify: Extracting #3: cost 118 inf + 975 1554304334.116 * * [misc]simplify: Extracting #4: cost 42 inf + 14648 1554304334.123 * * [misc]simplify: Extracting #5: cost 7 inf + 22458 1554304334.132 * * [misc]simplify: Extracting #6: cost 0 inf + 24671 1554304334.145 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1554304334.145 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304334.145 * * * * [misc]progress: [ 254 / 260 ] simplifiying candidate # 1554304334.145 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1554304334.145 * * [misc]simplify: iters left: 6 (13 enodes) 1554304334.149 * * [misc]simplify: iters left: 5 (50 enodes) 1554304334.158 * * [misc]simplify: iters left: 4 (92 enodes) 1554304334.176 * * [misc]simplify: iters left: 3 (230 enodes) 1554304334.241 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554304334.241 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554304334.242 * * [misc]simplify: Extracting #2: cost 103 inf + 0 1554304334.243 * * [misc]simplify: Extracting #3: cost 185 inf + 572 1554304334.246 * * [misc]simplify: Extracting #4: cost 140 inf + 6446 1554304334.254 * * [misc]simplify: Extracting #5: cost 52 inf + 25533 1554304334.268 * * [misc]simplify: Extracting #6: cost 4 inf + 40252 1554304334.284 * * [misc]simplify: Extracting #7: cost 0 inf + 41864 1554304334.298 * [exit]simplify: Simplified to (pow (/ -2 (/ -1 n)) (fma k -1/2 1/2)) 1554304334.299 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (/ -2 (/ -1 n)) (fma k -1/2 1/2)) (sqrt k)) (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304334.299 * * * * [misc]progress: [ 255 / 260 ] simplifiying candidate # 1554304334.299 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1554304334.299 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304334.300 * * * * [misc]progress: [ 256 / 260 ] simplifiying candidate # 1554304334.300 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1554304334.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304334.300 * * * * [misc]progress: [ 257 / 260 ] simplifiying candidate # 1554304334.301 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1554304334.301 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1554304334.301 * * * * [misc]progress: [ 258 / 260 ] simplifiying candidate # 1554304334.301 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))) 1554304334.301 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304334.303 * * * * [misc]progress: [ 259 / 260 ] simplifiying candidate # 1554304334.303 * [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)))))))) 1554304334.303 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304334.304 * * * * [misc]progress: [ 260 / 260 ] simplifiying candidate # 1554304334.304 * [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)))))))) 1554304334.304 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554304334.305 * * * [misc]progress: adding candidates to table 1554304337.695 * [misc]progress: [Phase 3 of 3] Extracting. 1554304337.696 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1554304337.697 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1554304337.697 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1554304337.751 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1554304337.827 * * * [misc]regime: Found split indices: #