1554299830.634 * [misc]progress: [Phase 1 of 3] Setting up. 1554299830.634 * * * [misc]progress: [1/2] Preparing points 1554299830.845 * * * [misc]progress: [2/2] Setting up program. 1554299830.851 * [misc]progress: [Phase 2 of 3] Improving. 1554299830.851 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1554299830.852 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1554299830.852 * * [misc]simplify: iters left: 6 (13 enodes) 1554299830.859 * * [misc]simplify: iters left: 5 (54 enodes) 1554299830.875 * * [misc]simplify: iters left: 4 (75 enodes) 1554299830.887 * * [misc]simplify: iters left: 3 (94 enodes) 1554299830.916 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299830.916 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299830.916 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299830.916 * * [misc]simplify: Extracting #3: cost 23 inf + 2 1554299830.917 * * [misc]simplify: Extracting #4: cost 18 inf + 378 1554299830.917 * * [misc]simplify: Extracting #5: cost 6 inf + 1792 1554299830.918 * * [misc]simplify: Extracting #6: cost 1 inf + 3201 1554299830.920 * * [misc]simplify: Extracting #7: cost 0 inf + 3656 1554299830.921 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1554299830.921 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) 1554299830.934 * * [misc]progress: iteration 1 / 4 1554299830.934 * * * [misc]progress: picking best candidate 1554299830.945 * * * * [misc]pick: Picked # 1554299830.945 * * * [misc]progress: localizing error 1554299830.980 * * * [misc]progress: generating rewritten candidates 1554299830.980 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1554299830.983 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1554299830.986 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1554299830.993 * * * [misc]progress: generating series expansions 1554299830.993 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1554299830.993 * [misc]backup-simplify: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1554299830.993 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1554299830.993 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299830.993 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299830.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299830.994 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299830.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299830.994 * [misc]taylor: Taking taylor expansion of k in k 1554299830.994 * [misc]backup-simplify: Simplify 0 into 0 1554299830.994 * [misc]backup-simplify: Simplify 1 into 1 1554299830.994 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of 2 in k 1554299830.994 * [misc]backup-simplify: Simplify 2 into 2 1554299830.994 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299830.994 * [misc]taylor: Taking taylor expansion of n in k 1554299830.994 * [misc]backup-simplify: Simplify n into n 1554299830.994 * [misc]taylor: Taking taylor expansion of PI in k 1554299830.994 * [misc]backup-simplify: Simplify PI into PI 1554299830.994 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299830.994 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299830.994 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299830.994 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299830.994 * [misc]backup-simplify: Simplify (- 0) into 0 1554299830.995 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299830.995 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299830.995 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299830.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299830.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299830.995 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299830.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299830.995 * [misc]taylor: Taking taylor expansion of k in n 1554299830.995 * [misc]backup-simplify: Simplify k into k 1554299830.995 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of 2 in n 1554299830.995 * [misc]backup-simplify: Simplify 2 into 2 1554299830.995 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299830.995 * [misc]taylor: Taking taylor expansion of n in n 1554299830.995 * [misc]backup-simplify: Simplify 0 into 0 1554299830.995 * [misc]backup-simplify: Simplify 1 into 1 1554299830.995 * [misc]taylor: Taking taylor expansion of PI in n 1554299830.995 * [misc]backup-simplify: Simplify PI into PI 1554299830.995 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299830.995 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299830.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299830.996 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299830.997 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299830.997 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299830.997 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299830.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299830.997 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299830.998 * [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)))) 1554299830.998 * [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))))) 1554299830.998 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299830.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299830.998 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299830.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299830.998 * [misc]taylor: Taking taylor expansion of k in n 1554299830.998 * [misc]backup-simplify: Simplify k into k 1554299830.998 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of 2 in n 1554299830.998 * [misc]backup-simplify: Simplify 2 into 2 1554299830.998 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299830.998 * [misc]taylor: Taking taylor expansion of n in n 1554299830.998 * [misc]backup-simplify: Simplify 0 into 0 1554299830.998 * [misc]backup-simplify: Simplify 1 into 1 1554299830.998 * [misc]taylor: Taking taylor expansion of PI in n 1554299830.998 * [misc]backup-simplify: Simplify PI into PI 1554299830.998 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299830.998 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299830.999 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299830.999 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299831.000 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.000 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299831.000 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299831.000 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299831.000 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.001 * [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)))) 1554299831.001 * [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))))) 1554299831.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1554299831.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1554299831.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299831.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.002 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299831.002 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.002 * [misc]taylor: Taking taylor expansion of k in k 1554299831.002 * [misc]backup-simplify: Simplify 0 into 0 1554299831.002 * [misc]backup-simplify: Simplify 1 into 1 1554299831.002 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1554299831.002 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299831.002 * [misc]taylor: Taking taylor expansion of n in k 1554299831.002 * [misc]backup-simplify: Simplify n into n 1554299831.002 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299831.002 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554299831.002 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554299831.002 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.002 * [misc]backup-simplify: Simplify 2 into 2 1554299831.002 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.002 * [misc]backup-simplify: Simplify PI into PI 1554299831.002 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.003 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.003 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299831.003 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.003 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.004 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.004 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1554299831.005 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554299831.005 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554299831.007 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299831.008 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299831.010 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299831.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299831.010 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.011 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.012 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554299831.014 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299831.014 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.014 * [misc]backup-simplify: Simplify 0 into 0 1554299831.014 * [misc]backup-simplify: Simplify 0 into 0 1554299831.015 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299831.015 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299831.018 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299831.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.018 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299831.019 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299831.019 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299831.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1554299831.021 * [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))))))) 1554299831.023 * [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))))))) 1554299831.032 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.034 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554299831.039 * [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 1554299831.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299831.040 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.041 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.042 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554299831.044 * [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 1554299831.044 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.044 * [misc]backup-simplify: Simplify 0 into 0 1554299831.044 * [misc]backup-simplify: Simplify 0 into 0 1554299831.044 * [misc]backup-simplify: Simplify 0 into 0 1554299831.046 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299831.047 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.052 * [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 1554299831.052 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.052 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299831.053 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.053 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554299831.056 * [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))))) 1554299831.058 * [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))))) 1554299831.064 * [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))))) 1554299831.064 * [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)))) 1554299831.064 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554299831.065 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.065 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.065 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of k in k 1554299831.065 * [misc]backup-simplify: Simplify 0 into 0 1554299831.065 * [misc]backup-simplify: Simplify 1 into 1 1554299831.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.065 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.065 * [misc]backup-simplify: Simplify 2 into 2 1554299831.065 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299831.065 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.065 * [misc]backup-simplify: Simplify PI into PI 1554299831.065 * [misc]taylor: Taking taylor expansion of n in k 1554299831.065 * [misc]backup-simplify: Simplify n into n 1554299831.065 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299831.066 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299831.066 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299831.066 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.066 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299831.066 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299831.066 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299831.067 * [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)))) 1554299831.067 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of k in n 1554299831.067 * [misc]backup-simplify: Simplify k into k 1554299831.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.067 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.067 * [misc]backup-simplify: Simplify 2 into 2 1554299831.067 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.067 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.067 * [misc]backup-simplify: Simplify PI into PI 1554299831.067 * [misc]taylor: Taking taylor expansion of n in n 1554299831.067 * [misc]backup-simplify: Simplify 0 into 0 1554299831.067 * [misc]backup-simplify: Simplify 1 into 1 1554299831.068 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.068 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.069 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.069 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299831.069 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299831.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.071 * [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))) 1554299831.071 * [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)))) 1554299831.071 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299831.071 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299831.071 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299831.071 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299831.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.072 * [misc]taylor: Taking taylor expansion of k in n 1554299831.072 * [misc]backup-simplify: Simplify k into k 1554299831.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.072 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299831.072 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299831.072 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.072 * [misc]backup-simplify: Simplify 2 into 2 1554299831.072 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.072 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.072 * [misc]backup-simplify: Simplify PI into PI 1554299831.072 * [misc]taylor: Taking taylor expansion of n in n 1554299831.072 * [misc]backup-simplify: Simplify 0 into 0 1554299831.072 * [misc]backup-simplify: Simplify 1 into 1 1554299831.072 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.072 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.073 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.073 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299831.073 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299831.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.075 * [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))) 1554299831.075 * [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)))) 1554299831.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1554299831.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1554299831.075 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299831.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.076 * [misc]taylor: Taking taylor expansion of k in k 1554299831.076 * [misc]backup-simplify: Simplify 0 into 0 1554299831.076 * [misc]backup-simplify: Simplify 1 into 1 1554299831.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.076 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1554299831.076 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554299831.076 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554299831.076 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.076 * [misc]backup-simplify: Simplify 2 into 2 1554299831.076 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.076 * [misc]backup-simplify: Simplify PI into PI 1554299831.076 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.077 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.077 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299831.077 * [misc]taylor: Taking taylor expansion of n in k 1554299831.077 * [misc]backup-simplify: Simplify n into n 1554299831.077 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299831.077 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.077 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299831.078 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299831.078 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299831.078 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1554299831.079 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1554299831.079 * [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)))) 1554299831.080 * [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)))) 1554299831.081 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299831.082 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299831.085 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299831.085 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299831.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299831.085 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.086 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.087 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554299831.088 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299831.088 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.088 * [misc]backup-simplify: Simplify 0 into 0 1554299831.089 * [misc]backup-simplify: Simplify 0 into 0 1554299831.089 * [misc]backup-simplify: Simplify 0 into 0 1554299831.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.091 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.097 * [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 1554299831.097 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.097 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299831.097 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.097 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.098 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.099 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1554299831.101 * [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 1554299831.101 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.102 * [misc]backup-simplify: Simplify 0 into 0 1554299831.102 * [misc]backup-simplify: Simplify 0 into 0 1554299831.102 * [misc]backup-simplify: Simplify 0 into 0 1554299831.102 * [misc]backup-simplify: Simplify 0 into 0 1554299831.104 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.105 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.113 * [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 1554299831.114 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299831.114 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.116 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1554299831.120 * [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 1554299831.120 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.120 * [misc]backup-simplify: Simplify 0 into 0 1554299831.120 * [misc]backup-simplify: Simplify 0 into 0 1554299831.121 * [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))))) 1554299831.121 * [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)) 1554299831.121 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554299831.121 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299831.121 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299831.121 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299831.121 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299831.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.121 * [misc]taylor: Taking taylor expansion of k in k 1554299831.121 * [misc]backup-simplify: Simplify 0 into 0 1554299831.121 * [misc]backup-simplify: Simplify 1 into 1 1554299831.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.122 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299831.122 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299831.122 * [misc]taylor: Taking taylor expansion of -2 in k 1554299831.122 * [misc]backup-simplify: Simplify -2 into -2 1554299831.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299831.122 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.122 * [misc]backup-simplify: Simplify PI into PI 1554299831.122 * [misc]taylor: Taking taylor expansion of n in k 1554299831.122 * [misc]backup-simplify: Simplify n into n 1554299831.122 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299831.122 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299831.122 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299831.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.122 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.122 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299831.123 * [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))) 1554299831.123 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.123 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of k in n 1554299831.123 * [misc]backup-simplify: Simplify k into k 1554299831.123 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.123 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of -2 in n 1554299831.123 * [misc]backup-simplify: Simplify -2 into -2 1554299831.123 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.123 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.123 * [misc]backup-simplify: Simplify PI into PI 1554299831.123 * [misc]taylor: Taking taylor expansion of n in n 1554299831.123 * [misc]backup-simplify: Simplify 0 into 0 1554299831.123 * [misc]backup-simplify: Simplify 1 into 1 1554299831.124 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.124 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.124 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299831.125 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.125 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299831.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.126 * [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))) 1554299831.127 * [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)))) 1554299831.127 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of k in n 1554299831.127 * [misc]backup-simplify: Simplify k into k 1554299831.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.127 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of -2 in n 1554299831.127 * [misc]backup-simplify: Simplify -2 into -2 1554299831.127 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.127 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.127 * [misc]backup-simplify: Simplify PI into PI 1554299831.127 * [misc]taylor: Taking taylor expansion of n in n 1554299831.127 * [misc]backup-simplify: Simplify 0 into 0 1554299831.127 * [misc]backup-simplify: Simplify 1 into 1 1554299831.128 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.128 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.128 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299831.128 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.128 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299831.129 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.130 * [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))) 1554299831.130 * [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)))) 1554299831.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of k in k 1554299831.131 * [misc]backup-simplify: Simplify 0 into 0 1554299831.131 * [misc]backup-simplify: Simplify 1 into 1 1554299831.131 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.131 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1554299831.131 * [misc]taylor: Taking taylor expansion of -2 in k 1554299831.131 * [misc]backup-simplify: Simplify -2 into -2 1554299831.131 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.131 * [misc]backup-simplify: Simplify PI into PI 1554299831.131 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.132 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299831.132 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299831.132 * [misc]taylor: Taking taylor expansion of n in k 1554299831.132 * [misc]backup-simplify: Simplify n into n 1554299831.132 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299831.132 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.132 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.132 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299831.133 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1554299831.133 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1554299831.134 * [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)))) 1554299831.135 * [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)))) 1554299831.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299831.136 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299831.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554299831.139 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299831.139 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299831.140 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.141 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1554299831.142 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299831.142 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.142 * [misc]backup-simplify: Simplify 0 into 0 1554299831.143 * [misc]backup-simplify: Simplify 0 into 0 1554299831.143 * [misc]backup-simplify: Simplify 0 into 0 1554299831.144 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.145 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.150 * [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 1554299831.150 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299831.151 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.151 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.152 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1554299831.154 * [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 1554299831.154 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.154 * [misc]backup-simplify: Simplify 0 into 0 1554299831.154 * [misc]backup-simplify: Simplify 0 into 0 1554299831.155 * [misc]backup-simplify: Simplify 0 into 0 1554299831.155 * [misc]backup-simplify: Simplify 0 into 0 1554299831.156 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.158 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.167 * [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 1554299831.167 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.168 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299831.168 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.169 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1554299831.173 * [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 1554299831.173 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.174 * [misc]backup-simplify: Simplify 0 into 0 1554299831.174 * [misc]backup-simplify: Simplify 0 into 0 1554299831.174 * [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))))) 1554299831.174 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1554299831.175 * [misc]backup-simplify: Simplify (* (* n 2) PI) into (* 2 (* n PI)) 1554299831.175 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1554299831.175 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299831.175 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.175 * [misc]backup-simplify: Simplify 2 into 2 1554299831.175 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299831.175 * [misc]taylor: Taking taylor expansion of n in n 1554299831.175 * [misc]backup-simplify: Simplify 0 into 0 1554299831.175 * [misc]backup-simplify: Simplify 1 into 1 1554299831.175 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.175 * [misc]backup-simplify: Simplify PI into PI 1554299831.175 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299831.175 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.175 * [misc]backup-simplify: Simplify 2 into 2 1554299831.175 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299831.175 * [misc]taylor: Taking taylor expansion of n in n 1554299831.175 * [misc]backup-simplify: Simplify 0 into 0 1554299831.175 * [misc]backup-simplify: Simplify 1 into 1 1554299831.175 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.175 * [misc]backup-simplify: Simplify PI into PI 1554299831.175 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299831.176 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299831.176 * [misc]backup-simplify: Simplify 0 into 0 1554299831.176 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299831.177 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299831.177 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.178 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299831.179 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299831.179 * [misc]backup-simplify: Simplify 0 into 0 1554299831.181 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554299831.182 * [misc]backup-simplify: Simplify 0 into 0 1554299831.184 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299831.186 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1554299831.186 * [misc]backup-simplify: Simplify 0 into 0 1554299831.189 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554299831.192 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1554299831.192 * [misc]backup-simplify: Simplify 0 into 0 1554299831.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554299831.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1554299831.200 * [misc]backup-simplify: Simplify 0 into 0 1554299831.202 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1554299831.205 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1554299831.205 * [misc]backup-simplify: Simplify 0 into 0 1554299831.205 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1554299831.205 * [misc]backup-simplify: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n)) 1554299831.205 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1554299831.205 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299831.205 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.205 * [misc]backup-simplify: Simplify 2 into 2 1554299831.205 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.205 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.205 * [misc]backup-simplify: Simplify PI into PI 1554299831.205 * [misc]taylor: Taking taylor expansion of n in n 1554299831.205 * [misc]backup-simplify: Simplify 0 into 0 1554299831.205 * [misc]backup-simplify: Simplify 1 into 1 1554299831.205 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.205 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299831.205 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.205 * [misc]backup-simplify: Simplify 2 into 2 1554299831.205 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.205 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.205 * [misc]backup-simplify: Simplify PI into PI 1554299831.205 * [misc]taylor: Taking taylor expansion of n in n 1554299831.206 * [misc]backup-simplify: Simplify 0 into 0 1554299831.206 * [misc]backup-simplify: Simplify 1 into 1 1554299831.206 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.206 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.206 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.207 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299831.207 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299831.207 * [misc]backup-simplify: Simplify 0 into 0 1554299831.208 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.208 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.208 * [misc]backup-simplify: Simplify 0 into 0 1554299831.209 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.210 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.210 * [misc]backup-simplify: Simplify 0 into 0 1554299831.211 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.212 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299831.212 * [misc]backup-simplify: Simplify 0 into 0 1554299831.214 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.215 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554299831.215 * [misc]backup-simplify: Simplify 0 into 0 1554299831.217 * [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 1554299831.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554299831.219 * [misc]backup-simplify: Simplify 0 into 0 1554299831.219 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1554299831.219 * [misc]backup-simplify: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n)) 1554299831.219 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1554299831.219 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299831.219 * [misc]taylor: Taking taylor expansion of -2 in n 1554299831.219 * [misc]backup-simplify: Simplify -2 into -2 1554299831.219 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.219 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.219 * [misc]backup-simplify: Simplify PI into PI 1554299831.219 * [misc]taylor: Taking taylor expansion of n in n 1554299831.219 * [misc]backup-simplify: Simplify 0 into 0 1554299831.219 * [misc]backup-simplify: Simplify 1 into 1 1554299831.219 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.219 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299831.219 * [misc]taylor: Taking taylor expansion of -2 in n 1554299831.219 * [misc]backup-simplify: Simplify -2 into -2 1554299831.219 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.219 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.219 * [misc]backup-simplify: Simplify PI into PI 1554299831.219 * [misc]taylor: Taking taylor expansion of n in n 1554299831.219 * [misc]backup-simplify: Simplify 0 into 0 1554299831.219 * [misc]backup-simplify: Simplify 1 into 1 1554299831.219 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.220 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.220 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.220 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299831.221 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299831.221 * [misc]backup-simplify: Simplify 0 into 0 1554299831.222 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.222 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.222 * [misc]backup-simplify: Simplify 0 into 0 1554299831.223 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.224 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.224 * [misc]backup-simplify: Simplify 0 into 0 1554299831.226 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.227 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299831.227 * [misc]backup-simplify: Simplify 0 into 0 1554299831.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.229 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554299831.229 * [misc]backup-simplify: Simplify 0 into 0 1554299831.231 * [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 1554299831.233 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554299831.233 * [misc]backup-simplify: Simplify 0 into 0 1554299831.233 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1554299831.233 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1554299831.233 * [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)))) 1554299831.233 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1554299831.233 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554299831.233 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299831.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.233 * [misc]taylor: Taking taylor expansion of k in k 1554299831.233 * [misc]backup-simplify: Simplify 0 into 0 1554299831.233 * [misc]backup-simplify: Simplify 1 into 1 1554299831.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.234 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299831.234 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299831.234 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.235 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.235 * [misc]taylor: Taking taylor expansion of k in k 1554299831.235 * [misc]backup-simplify: Simplify 0 into 0 1554299831.235 * [misc]backup-simplify: Simplify 1 into 1 1554299831.235 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.235 * [misc]backup-simplify: Simplify 2 into 2 1554299831.235 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299831.235 * [misc]taylor: Taking taylor expansion of n in k 1554299831.235 * [misc]backup-simplify: Simplify n into n 1554299831.235 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.235 * [misc]backup-simplify: Simplify PI into PI 1554299831.235 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299831.235 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299831.235 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299831.235 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299831.236 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.236 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.236 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299831.236 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299831.236 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554299831.236 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554299831.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.236 * [misc]taylor: Taking taylor expansion of k in n 1554299831.236 * [misc]backup-simplify: Simplify k into k 1554299831.236 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.236 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554299831.237 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299831.237 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554299831.237 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.237 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.237 * [misc]taylor: Taking taylor expansion of k in n 1554299831.237 * [misc]backup-simplify: Simplify k into k 1554299831.237 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.237 * [misc]backup-simplify: Simplify 2 into 2 1554299831.237 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299831.237 * [misc]taylor: Taking taylor expansion of n in n 1554299831.237 * [misc]backup-simplify: Simplify 0 into 0 1554299831.237 * [misc]backup-simplify: Simplify 1 into 1 1554299831.237 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.237 * [misc]backup-simplify: Simplify PI into PI 1554299831.238 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299831.238 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299831.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299831.239 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299831.240 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.240 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299831.240 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299831.240 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299831.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.241 * [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)))) 1554299831.242 * [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))))) 1554299831.242 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of k in n 1554299831.242 * [misc]backup-simplify: Simplify k into k 1554299831.242 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.242 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554299831.242 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299831.242 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554299831.242 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.242 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299831.242 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.242 * [misc]taylor: Taking taylor expansion of k in n 1554299831.242 * [misc]backup-simplify: Simplify k into k 1554299831.242 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299831.243 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299831.243 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.243 * [misc]backup-simplify: Simplify 2 into 2 1554299831.243 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299831.243 * [misc]taylor: Taking taylor expansion of n in n 1554299831.243 * [misc]backup-simplify: Simplify 0 into 0 1554299831.243 * [misc]backup-simplify: Simplify 1 into 1 1554299831.243 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.243 * [misc]backup-simplify: Simplify PI into PI 1554299831.243 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299831.243 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299831.244 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299831.244 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299831.245 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.245 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299831.245 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299831.245 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299831.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.246 * [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)))) 1554299831.247 * [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))))) 1554299831.247 * [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))) 1554299831.248 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.248 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.248 * [misc]taylor: Taking taylor expansion of k in k 1554299831.248 * [misc]backup-simplify: Simplify 0 into 0 1554299831.248 * [misc]backup-simplify: Simplify 1 into 1 1554299831.248 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of n in k 1554299831.248 * [misc]backup-simplify: Simplify n into n 1554299831.248 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299831.248 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554299831.248 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.248 * [misc]backup-simplify: Simplify 2 into 2 1554299831.248 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.248 * [misc]backup-simplify: Simplify PI into PI 1554299831.248 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.249 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.249 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299831.249 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.249 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.250 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.250 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1554299831.251 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554299831.251 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299831.251 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.251 * [misc]taylor: Taking taylor expansion of k in k 1554299831.251 * [misc]backup-simplify: Simplify 0 into 0 1554299831.251 * [misc]backup-simplify: Simplify 1 into 1 1554299831.251 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.251 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299831.252 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299831.252 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1554299831.253 * [misc]backup-simplify: Simplify 0 into 0 1554299831.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299831.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299831.255 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299831.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299831.256 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.256 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.256 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554299831.257 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299831.258 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1554299831.258 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.258 * [misc]backup-simplify: Simplify 0 into 0 1554299831.258 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299831.259 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299831.260 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299831.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.260 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299831.261 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299831.261 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299831.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1554299831.262 * [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))))))) 1554299831.263 * [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))))))) 1554299831.263 * [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))))))) 1554299831.264 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.265 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554299831.268 * [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 1554299831.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299831.268 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.269 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.269 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.269 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554299831.271 * [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 1554299831.271 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.272 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1554299831.272 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1554299831.272 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.272 * [misc]backup-simplify: Simplify 0 into 0 1554299831.272 * [misc]backup-simplify: Simplify 0 into 0 1554299831.272 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554299831.273 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299831.274 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299831.274 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.277 * [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 1554299831.277 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299831.278 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554299831.280 * [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))))) 1554299831.282 * [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)))))))) 1554299831.284 * [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)))))))) 1554299831.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299831.287 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1554299831.295 * [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 1554299831.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554299831.295 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.296 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299831.297 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1554299831.301 * [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 1554299831.301 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.302 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1554299831.303 * [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 1554299831.303 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.303 * [misc]backup-simplify: Simplify 0 into 0 1554299831.303 * [misc]backup-simplify: Simplify 0 into 0 1554299831.303 * [misc]backup-simplify: Simplify 0 into 0 1554299831.303 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.305 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299831.307 * [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 1554299831.309 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.317 * [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 1554299831.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299831.318 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1554299831.324 * [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))))))) 1554299831.333 * [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)))))))))))))) 1554299831.340 * [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)))))))))))))) 1554299831.350 * [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)))))))))))))))))))))) 1554299831.350 * [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))))) 1554299831.350 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1554299831.350 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299831.350 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299831.350 * [misc]taylor: Taking taylor expansion of k in k 1554299831.350 * [misc]backup-simplify: Simplify 0 into 0 1554299831.350 * [misc]backup-simplify: Simplify 1 into 1 1554299831.350 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299831.351 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299831.351 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of k in k 1554299831.351 * [misc]backup-simplify: Simplify 0 into 0 1554299831.351 * [misc]backup-simplify: Simplify 1 into 1 1554299831.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.351 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.351 * [misc]backup-simplify: Simplify 2 into 2 1554299831.351 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299831.351 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.351 * [misc]backup-simplify: Simplify PI into PI 1554299831.351 * [misc]taylor: Taking taylor expansion of n in k 1554299831.351 * [misc]backup-simplify: Simplify n into n 1554299831.351 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299831.351 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299831.352 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299831.352 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.352 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299831.352 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299831.352 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299831.352 * [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)))) 1554299831.352 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of k in n 1554299831.352 * [misc]backup-simplify: Simplify k into k 1554299831.352 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554299831.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554299831.352 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.352 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.352 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of k in n 1554299831.352 * [misc]backup-simplify: Simplify k into k 1554299831.352 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.352 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.352 * [misc]backup-simplify: Simplify 2 into 2 1554299831.352 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.352 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.352 * [misc]backup-simplify: Simplify PI into PI 1554299831.352 * [misc]taylor: Taking taylor expansion of n in n 1554299831.353 * [misc]backup-simplify: Simplify 0 into 0 1554299831.353 * [misc]backup-simplify: Simplify 1 into 1 1554299831.353 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.353 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.353 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.353 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.353 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299831.353 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299831.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.354 * [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))) 1554299831.354 * [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)))) 1554299831.355 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of k in n 1554299831.355 * [misc]backup-simplify: Simplify k into k 1554299831.355 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554299831.355 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554299831.355 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of k in n 1554299831.355 * [misc]backup-simplify: Simplify k into k 1554299831.355 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.355 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of 2 in n 1554299831.355 * [misc]backup-simplify: Simplify 2 into 2 1554299831.355 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.355 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.355 * [misc]backup-simplify: Simplify PI into PI 1554299831.355 * [misc]taylor: Taking taylor expansion of n in n 1554299831.355 * [misc]backup-simplify: Simplify 0 into 0 1554299831.355 * [misc]backup-simplify: Simplify 1 into 1 1554299831.355 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.355 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.356 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.356 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.356 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299831.356 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299831.356 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.357 * [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))) 1554299831.357 * [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)))) 1554299831.357 * [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)) 1554299831.358 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.358 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.358 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of k in k 1554299831.358 * [misc]backup-simplify: Simplify 0 into 0 1554299831.358 * [misc]backup-simplify: Simplify 1 into 1 1554299831.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.358 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of 2 in k 1554299831.358 * [misc]backup-simplify: Simplify 2 into 2 1554299831.358 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.358 * [misc]backup-simplify: Simplify PI into PI 1554299831.358 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299831.358 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299831.358 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299831.358 * [misc]taylor: Taking taylor expansion of n in k 1554299831.358 * [misc]backup-simplify: Simplify n into n 1554299831.358 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299831.359 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.359 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299831.359 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299831.359 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299831.359 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1554299831.359 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1554299831.360 * [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)))) 1554299831.360 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299831.360 * [misc]taylor: Taking taylor expansion of k in k 1554299831.360 * [misc]backup-simplify: Simplify 0 into 0 1554299831.360 * [misc]backup-simplify: Simplify 1 into 1 1554299831.360 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299831.360 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299831.361 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1554299831.361 * [misc]backup-simplify: Simplify 0 into 0 1554299831.361 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299831.362 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299831.363 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299831.363 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299831.363 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299831.364 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.364 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.364 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.364 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554299831.365 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299831.366 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1554299831.366 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.366 * [misc]backup-simplify: Simplify 0 into 0 1554299831.366 * [misc]backup-simplify: Simplify 0 into 0 1554299831.366 * [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)))))) 1554299831.367 * [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)))))) 1554299831.368 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.371 * [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 1554299831.371 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299831.371 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.371 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.372 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.372 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1554299831.374 * [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 1554299831.374 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1554299831.375 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1554299831.375 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.375 * [misc]backup-simplify: Simplify 0 into 0 1554299831.375 * [misc]backup-simplify: Simplify 0 into 0 1554299831.375 * [misc]backup-simplify: Simplify 0 into 0 1554299831.375 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299831.376 * [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)))))) 1554299831.376 * [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)))))) 1554299831.377 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299831.383 * [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 1554299831.383 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.384 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299831.384 * [misc]backup-simplify: Simplify (- 0) into 0 1554299831.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.384 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299831.385 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1554299831.387 * [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 1554299831.387 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1554299831.388 * [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 1554299831.388 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.388 * [misc]backup-simplify: Simplify 0 into 0 1554299831.388 * [misc]backup-simplify: Simplify 0 into 0 1554299831.388 * [misc]backup-simplify: Simplify 0 into 0 1554299831.388 * [misc]backup-simplify: Simplify 0 into 0 1554299831.389 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299831.389 * [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)))))) 1554299831.390 * [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)))))) 1554299831.391 * [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)))))))) 1554299831.391 * [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))) 1554299831.391 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1554299831.391 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of k in k 1554299831.392 * [misc]backup-simplify: Simplify 0 into 0 1554299831.392 * [misc]backup-simplify: Simplify 1 into 1 1554299831.392 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.392 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.392 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of -2 in k 1554299831.392 * [misc]backup-simplify: Simplify -2 into -2 1554299831.392 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299831.392 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.392 * [misc]backup-simplify: Simplify PI into PI 1554299831.392 * [misc]taylor: Taking taylor expansion of n in k 1554299831.392 * [misc]backup-simplify: Simplify n into n 1554299831.392 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299831.392 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299831.392 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299831.392 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.392 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.392 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299831.393 * [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))) 1554299831.393 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299831.393 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299831.393 * [misc]taylor: Taking taylor expansion of -1 in k 1554299831.393 * [misc]backup-simplify: Simplify -1 into -1 1554299831.393 * [misc]taylor: Taking taylor expansion of k in k 1554299831.393 * [misc]backup-simplify: Simplify 0 into 0 1554299831.393 * [misc]backup-simplify: Simplify 1 into 1 1554299831.393 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299831.393 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299831.393 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299831.393 * [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)))) 1554299831.393 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554299831.393 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299831.393 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299831.393 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299831.393 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299831.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.394 * [misc]taylor: Taking taylor expansion of k in n 1554299831.394 * [misc]backup-simplify: Simplify k into k 1554299831.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.394 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299831.394 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299831.394 * [misc]taylor: Taking taylor expansion of -2 in n 1554299831.394 * [misc]backup-simplify: Simplify -2 into -2 1554299831.394 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.394 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.394 * [misc]backup-simplify: Simplify PI into PI 1554299831.394 * [misc]taylor: Taking taylor expansion of n in n 1554299831.394 * [misc]backup-simplify: Simplify 0 into 0 1554299831.394 * [misc]backup-simplify: Simplify 1 into 1 1554299831.394 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.394 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.394 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299831.394 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.394 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299831.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.395 * [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))) 1554299831.396 * [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)))) 1554299831.396 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299831.396 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299831.396 * [misc]taylor: Taking taylor expansion of -1 in n 1554299831.396 * [misc]backup-simplify: Simplify -1 into -1 1554299831.396 * [misc]taylor: Taking taylor expansion of k in n 1554299831.396 * [misc]backup-simplify: Simplify k into k 1554299831.396 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299831.396 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299831.396 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299831.396 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299831.396 * [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))) 1554299831.396 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554299831.396 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299831.396 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299831.396 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299831.396 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299831.397 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299831.397 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299831.397 * [misc]taylor: Taking taylor expansion of k in n 1554299831.397 * [misc]backup-simplify: Simplify k into k 1554299831.397 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299831.397 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299831.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.397 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299831.397 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299831.397 * [misc]taylor: Taking taylor expansion of -2 in n 1554299831.397 * [misc]backup-simplify: Simplify -2 into -2 1554299831.397 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299831.397 * [misc]taylor: Taking taylor expansion of PI in n 1554299831.397 * [misc]backup-simplify: Simplify PI into PI 1554299831.397 * [misc]taylor: Taking taylor expansion of n in n 1554299831.397 * [misc]backup-simplify: Simplify 0 into 0 1554299831.397 * [misc]backup-simplify: Simplify 1 into 1 1554299831.397 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299831.397 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.397 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299831.397 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299831.398 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299831.398 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.398 * [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))) 1554299831.399 * [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)))) 1554299831.399 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299831.399 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299831.399 * [misc]taylor: Taking taylor expansion of -1 in n 1554299831.399 * [misc]backup-simplify: Simplify -1 into -1 1554299831.399 * [misc]taylor: Taking taylor expansion of k in n 1554299831.399 * [misc]backup-simplify: Simplify k into k 1554299831.399 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299831.399 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299831.399 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299831.399 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299831.399 * [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))) 1554299831.399 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1554299831.399 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of k in k 1554299831.400 * [misc]backup-simplify: Simplify 0 into 0 1554299831.400 * [misc]backup-simplify: Simplify 1 into 1 1554299831.400 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299831.400 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299831.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299831.400 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of -2 in k 1554299831.400 * [misc]backup-simplify: Simplify -2 into -2 1554299831.400 * [misc]taylor: Taking taylor expansion of PI in k 1554299831.400 * [misc]backup-simplify: Simplify PI into PI 1554299831.400 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299831.400 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299831.400 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299831.400 * [misc]taylor: Taking taylor expansion of n in k 1554299831.400 * [misc]backup-simplify: Simplify n into n 1554299831.400 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299831.401 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299831.401 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299831.401 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299831.401 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1554299831.402 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1554299831.402 * [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)))) 1554299831.402 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299831.402 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299831.402 * [misc]taylor: Taking taylor expansion of -1 in k 1554299831.402 * [misc]backup-simplify: Simplify -1 into -1 1554299831.402 * [misc]taylor: Taking taylor expansion of k in k 1554299831.402 * [misc]backup-simplify: Simplify 0 into 0 1554299831.402 * [misc]backup-simplify: Simplify 1 into 1 1554299831.403 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299831.403 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299831.403 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299831.404 * [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))))) 1554299831.404 * [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))))) 1554299831.406 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299831.406 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299831.409 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554299831.409 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299831.409 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299831.409 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.410 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.411 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1554299831.412 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299831.413 * [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 1554299831.413 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.413 * [misc]backup-simplify: Simplify 0 into 0 1554299831.413 * [misc]backup-simplify: Simplify 0 into 0 1554299831.413 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554299831.414 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299831.415 * [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)))))) 1554299831.416 * [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)))))) 1554299831.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.419 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299831.423 * [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 1554299831.423 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299831.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299831.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299831.425 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1554299831.428 * [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 1554299831.428 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299831.429 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554299831.430 * [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 1554299831.430 * [misc]taylor: Taking taylor expansion of 0 in k 1554299831.430 * [misc]backup-simplify: Simplify 0 into 0 1554299831.430 * [misc]backup-simplify: Simplify 0 into 0 1554299831.430 * [misc]backup-simplify: Simplify 0 into 0 1554299831.430 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299831.431 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299831.434 * [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)))))) 1554299831.434 * [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)))))) 1554299831.438 * [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))))))))))) 1554299831.438 * * * [misc]progress: simplifying candidates 1554299831.438 * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # 1554299831.438 * [enter]simplify: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) 1554299831.439 * * [misc]simplify: iters left: 6 (11 enodes) 1554299831.444 * * [misc]simplify: iters left: 5 (43 enodes) 1554299831.458 * * [misc]simplify: iters left: 4 (79 enodes) 1554299831.486 * * [misc]simplify: iters left: 3 (174 enodes) 1554299831.556 * * [misc]simplify: iters left: 2 (469 enodes) 1554299831.819 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299831.819 * * [misc]simplify: Extracting #1: cost 84 inf + 0 1554299831.820 * * [misc]simplify: Extracting #2: cost 306 inf + 0 1554299831.821 * * [misc]simplify: Extracting #3: cost 323 inf + 700 1554299831.824 * * [misc]simplify: Extracting #4: cost 264 inf + 10482 1554299831.836 * * [misc]simplify: Extracting #5: cost 52 inf + 75582 1554299831.860 * * [misc]simplify: Extracting #6: cost 0 inf + 94795 1554299831.894 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) 1554299831.894 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k))) 1554299831.894 * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # 1554299831.894 * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # 1554299831.894 * [enter]simplify: Simplifying (* (* n 2) PI) 1554299831.894 * * [misc]simplify: iters left: 4 (5 enodes) 1554299831.897 * * [misc]simplify: iters left: 3 (19 enodes) 1554299831.906 * * [misc]simplify: iters left: 2 (27 enodes) 1554299831.913 * * [misc]simplify: iters left: 1 (32 enodes) 1554299831.920 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299831.920 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299831.920 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299831.920 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299831.921 * [exit]simplify: Simplified to (* (* n 2) PI) 1554299831.921 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1554299831.921 * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # 1554299831.921 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554299831.921 * * [misc]simplify: iters left: 5 (8 enodes) 1554299831.925 * * [misc]simplify: iters left: 4 (28 enodes) 1554299831.932 * * [misc]simplify: iters left: 3 (36 enodes) 1554299831.941 * * [misc]simplify: iters left: 2 (41 enodes) 1554299831.951 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299831.951 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299831.951 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299831.951 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554299831.951 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554299831.952 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554299831.952 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554299831.952 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) 1554299831.952 * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # 1554299831.952 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554299831.953 * * [misc]simplify: iters left: 5 (6 enodes) 1554299831.956 * * [misc]simplify: iters left: 4 (20 enodes) 1554299831.962 * * [misc]simplify: iters left: 3 (25 enodes) 1554299831.969 * * [misc]simplify: iters left: 2 (27 enodes) 1554299831.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299831.974 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299831.974 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299831.974 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299831.974 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299831.974 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299831.974 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554299831.974 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554299831.974 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554299831.974 * [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))) 1554299831.974 * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # 1554299831.975 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554299831.975 * * [misc]simplify: iters left: 5 (6 enodes) 1554299831.976 * * [misc]simplify: iters left: 4 (20 enodes) 1554299831.980 * * [misc]simplify: iters left: 3 (25 enodes) 1554299831.984 * * [misc]simplify: iters left: 2 (27 enodes) 1554299831.988 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299831.988 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299831.988 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299831.988 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299831.988 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299831.988 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299831.988 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554299831.988 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554299831.988 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554299831.988 * [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))) 1554299831.989 * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # 1554299831.989 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554299831.989 * * [misc]simplify: iters left: 4 (5 enodes) 1554299831.990 * * [misc]simplify: iters left: 3 (17 enodes) 1554299831.993 * * [misc]simplify: iters left: 2 (22 enodes) 1554299831.997 * * [misc]simplify: iters left: 1 (24 enodes) 1554299832.004 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.004 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299832.004 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299832.005 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554299832.005 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554299832.005 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554299832.005 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k))) 1554299832.005 * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # 1554299832.006 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554299832.006 * * [misc]simplify: iters left: 5 (9 enodes) 1554299832.010 * * [misc]simplify: iters left: 4 (33 enodes) 1554299832.020 * * [misc]simplify: iters left: 3 (43 enodes) 1554299832.033 * * [misc]simplify: iters left: 2 (48 enodes) 1554299832.045 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.045 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299832.045 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299832.045 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554299832.045 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554299832.045 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554299832.046 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554299832.047 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554299832.047 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1554299832.047 * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # 1554299832.047 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554299832.047 * * [misc]simplify: iters left: 5 (9 enodes) 1554299832.051 * * [misc]simplify: iters left: 4 (33 enodes) 1554299832.060 * * [misc]simplify: iters left: 3 (43 enodes) 1554299832.071 * * [misc]simplify: iters left: 2 (48 enodes) 1554299832.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.083 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299832.083 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299832.083 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554299832.084 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554299832.084 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554299832.085 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554299832.085 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554299832.085 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k))) 1554299832.085 * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # 1554299832.086 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554299832.086 * * [misc]simplify: iters left: 5 (8 enodes) 1554299832.090 * * [misc]simplify: iters left: 4 (27 enodes) 1554299832.096 * * [misc]simplify: iters left: 3 (32 enodes) 1554299832.101 * * [misc]simplify: iters left: 2 (34 enodes) 1554299832.108 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.108 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299832.108 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554299832.108 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554299832.108 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554299832.109 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554299832.109 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554299832.110 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554299832.110 * [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))) 1554299832.110 * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate #real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))> 1554299832.110 * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # 1554299832.110 * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # 1554299832.111 * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # 1554299832.111 * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # 1554299832.111 * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # 1554299832.111 * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> 1554299832.111 * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # 1554299832.111 * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # 1554299832.111 * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # 1554299832.111 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554299832.111 * * [misc]simplify: iters left: 6 (14 enodes) 1554299832.118 * * [misc]simplify: iters left: 5 (54 enodes) 1554299832.134 * * [misc]simplify: iters left: 4 (93 enodes) 1554299832.160 * * [misc]simplify: iters left: 3 (211 enodes) 1554299832.249 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.249 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1554299832.250 * * [misc]simplify: Extracting #2: cost 140 inf + 0 1554299832.254 * * [misc]simplify: Extracting #3: cost 174 inf + 73 1554299832.255 * * [misc]simplify: Extracting #4: cost 166 inf + 1096 1554299832.259 * * [misc]simplify: Extracting #5: cost 109 inf + 11866 1554299832.273 * * [misc]simplify: Extracting #6: cost 16 inf + 39971 1554299832.292 * * [misc]simplify: Extracting #7: cost 0 inf + 46184 1554299832.311 * * [misc]simplify: Extracting #8: cost 0 inf + 46104 1554299832.328 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1554299832.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1554299832.328 * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # 1554299832.328 * [enter]simplify: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554299832.328 * * [misc]simplify: iters left: 6 (14 enodes) 1554299832.332 * * [misc]simplify: iters left: 5 (54 enodes) 1554299832.341 * * [misc]simplify: iters left: 4 (93 enodes) 1554299832.357 * * [misc]simplify: iters left: 3 (211 enodes) 1554299832.449 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.449 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1554299832.449 * * [misc]simplify: Extracting #2: cost 140 inf + 0 1554299832.450 * * [misc]simplify: Extracting #3: cost 174 inf + 73 1554299832.450 * * [misc]simplify: Extracting #4: cost 166 inf + 1096 1554299832.455 * * [misc]simplify: Extracting #5: cost 109 inf + 11866 1554299832.467 * * [misc]simplify: Extracting #6: cost 16 inf + 39971 1554299832.486 * * [misc]simplify: Extracting #7: cost 0 inf + 46184 1554299832.505 * * [misc]simplify: Extracting #8: cost 0 inf + 46104 1554299832.523 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))) 1554299832.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k))))) 1554299832.524 * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # 1554299832.524 * [enter]simplify: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299832.524 * * [misc]simplify: iters left: 6 (14 enodes) 1554299832.531 * * [misc]simplify: iters left: 5 (52 enodes) 1554299832.547 * * [misc]simplify: iters left: 4 (78 enodes) 1554299832.571 * * [misc]simplify: iters left: 3 (129 enodes) 1554299832.622 * * [misc]simplify: iters left: 2 (301 enodes) 1554299832.825 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299832.825 * * [misc]simplify: Extracting #1: cost 95 inf + 0 1554299832.826 * * [misc]simplify: Extracting #2: cost 251 inf + 0 1554299832.827 * * [misc]simplify: Extracting #3: cost 268 inf + 185 1554299832.828 * * [misc]simplify: Extracting #4: cost 245 inf + 2717 1554299832.835 * * [misc]simplify: Extracting #5: cost 109 inf + 39317 1554299832.860 * * [misc]simplify: Extracting #6: cost 4 inf + 84912 1554299832.895 * * [misc]simplify: Extracting #7: cost 0 inf + 86901 1554299832.913 * [exit]simplify: Simplified to (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554299832.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1554299832.913 * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # 1554299832.913 * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # 1554299832.913 * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # 1554299832.914 * [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))) 1554299832.914 * * [misc]simplify: iters left: 6 (16 enodes) 1554299832.918 * * [misc]simplify: iters left: 5 (61 enodes) 1554299832.929 * * [misc]simplify: iters left: 4 (113 enodes) 1554299832.962 * * [misc]simplify: iters left: 3 (185 enodes) 1554299832.992 * * [misc]simplify: iters left: 2 (215 enodes) 1554299833.030 * * [misc]simplify: iters left: 1 (221 enodes) 1554299833.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.063 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299833.063 * * [misc]simplify: Extracting #2: cost 41 inf + 123 1554299833.063 * * [misc]simplify: Extracting #3: cost 49 inf + 246 1554299833.063 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554299833.064 * * [misc]simplify: Extracting #5: cost 39 inf + 1291 1554299833.066 * * [misc]simplify: Extracting #6: cost 5 inf + 15749 1554299833.070 * * [misc]simplify: Extracting #7: cost 0 inf + 18264 1554299833.078 * [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)) 1554299833.078 * [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)))) 1554299833.078 * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # 1554299833.078 * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # 1554299833.078 * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # 1554299833.078 * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # 1554299833.078 * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # 1554299833.079 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299833.079 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.085 * * [misc]simplify: iters left: 5 (43 enodes) 1554299833.098 * * [misc]simplify: iters left: 4 (53 enodes) 1554299833.113 * * [misc]simplify: iters left: 3 (59 enodes) 1554299833.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.128 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299833.129 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299833.129 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299833.129 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1554299833.129 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1554299833.130 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1554299833.130 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1554299833.131 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299833.131 * [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))))) 1554299833.132 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1554299833.132 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.138 * * [misc]simplify: iters left: 5 (42 enodes) 1554299833.150 * * [misc]simplify: iters left: 4 (52 enodes) 1554299833.167 * * [misc]simplify: iters left: 3 (58 enodes) 1554299833.182 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.182 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.182 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.182 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299833.182 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554299833.182 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1554299833.183 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554299833.184 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554299833.185 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1554299833.185 * [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))))) 1554299833.185 * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # 1554299833.185 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1554299833.185 * * [misc]simplify: iters left: 6 (11 enodes) 1554299833.190 * * [misc]simplify: iters left: 5 (38 enodes) 1554299833.196 * * [misc]simplify: iters left: 4 (46 enodes) 1554299833.202 * * [misc]simplify: iters left: 3 (51 enodes) 1554299833.209 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.209 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.209 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.209 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299833.209 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299833.209 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1554299833.209 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554299833.210 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554299833.210 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1554299833.210 * [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))))) 1554299833.210 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1554299833.210 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.213 * * [misc]simplify: iters left: 5 (42 enodes) 1554299833.219 * * [misc]simplify: iters left: 4 (52 enodes) 1554299833.231 * * [misc]simplify: iters left: 3 (58 enodes) 1554299833.238 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.238 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.238 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.238 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299833.238 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554299833.238 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1554299833.239 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554299833.239 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554299833.240 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1554299833.240 * [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))))) 1554299833.240 * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # 1554299833.240 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1554299833.240 * * [misc]simplify: iters left: 6 (9 enodes) 1554299833.243 * * [misc]simplify: iters left: 5 (32 enodes) 1554299833.249 * * [misc]simplify: iters left: 4 (44 enodes) 1554299833.258 * * [misc]simplify: iters left: 3 (49 enodes) 1554299833.271 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.271 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299833.271 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1554299833.271 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1554299833.271 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1554299833.272 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1554299833.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554299833.272 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554299833.272 * * [misc]simplify: iters left: 6 (11 enodes) 1554299833.277 * * [misc]simplify: iters left: 5 (39 enodes) 1554299833.283 * * [misc]simplify: iters left: 4 (49 enodes) 1554299833.290 * * [misc]simplify: iters left: 3 (54 enodes) 1554299833.297 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.297 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.297 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.297 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1554299833.297 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1554299833.298 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1554299833.298 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554299833.298 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554299833.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554299833.298 * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # 1554299833.299 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299833.299 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.302 * * [misc]simplify: iters left: 5 (43 enodes) 1554299833.308 * * [misc]simplify: iters left: 4 (53 enodes) 1554299833.316 * * [misc]simplify: iters left: 3 (59 enodes) 1554299833.324 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.324 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299833.324 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299833.324 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299833.324 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1554299833.324 * * [misc]simplify: Extracting #5: cost 12 inf + 460 1554299833.325 * * [misc]simplify: Extracting #6: cost 2 inf + 1923 1554299833.325 * * [misc]simplify: Extracting #7: cost 0 inf + 2531 1554299833.325 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299833.325 * [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))))) 1554299833.326 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k))) 1554299833.326 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.329 * * [misc]simplify: iters left: 5 (42 enodes) 1554299833.335 * * [misc]simplify: iters left: 4 (52 enodes) 1554299833.342 * * [misc]simplify: iters left: 3 (58 enodes) 1554299833.350 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.351 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.351 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.351 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299833.351 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554299833.351 * * [misc]simplify: Extracting #5: cost 4 inf + 1367 1554299833.351 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554299833.352 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554299833.352 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k))) 1554299833.352 * [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))))) 1554299833.352 * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # 1554299833.352 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) 1554299833.352 * * [misc]simplify: iters left: 6 (11 enodes) 1554299833.355 * * [misc]simplify: iters left: 5 (38 enodes) 1554299833.361 * * [misc]simplify: iters left: 4 (46 enodes) 1554299833.374 * * [misc]simplify: iters left: 3 (51 enodes) 1554299833.387 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.387 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.387 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.387 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299833.387 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299833.388 * * [misc]simplify: Extracting #5: cost 2 inf + 913 1554299833.388 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554299833.389 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554299833.389 * [exit]simplify: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) 1554299833.390 * [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))))) 1554299833.390 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k))) 1554299833.390 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.396 * * [misc]simplify: iters left: 5 (42 enodes) 1554299833.408 * * [misc]simplify: iters left: 4 (52 enodes) 1554299833.421 * * [misc]simplify: iters left: 3 (58 enodes) 1554299833.435 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.435 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.435 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.435 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299833.435 * * [misc]simplify: Extracting #4: cost 19 inf + 128 1554299833.435 * * [misc]simplify: Extracting #5: cost 4 inf + 1287 1554299833.435 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554299833.436 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554299833.436 * [exit]simplify: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k))) 1554299833.436 * [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))))) 1554299833.436 * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # 1554299833.436 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1) 1554299833.437 * * [misc]simplify: iters left: 6 (9 enodes) 1554299833.439 * * [misc]simplify: iters left: 5 (32 enodes) 1554299833.445 * * [misc]simplify: iters left: 4 (44 enodes) 1554299833.451 * * [misc]simplify: iters left: 3 (49 enodes) 1554299833.457 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.457 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299833.457 * * [misc]simplify: Extracting #2: cost 10 inf + 2 1554299833.457 * * [misc]simplify: Extracting #3: cost 9 inf + 47 1554299833.457 * * [misc]simplify: Extracting #4: cost 0 inf + 669 1554299833.459 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1554299833.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554299833.459 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554299833.459 * * [misc]simplify: iters left: 6 (11 enodes) 1554299833.462 * * [misc]simplify: iters left: 5 (39 enodes) 1554299833.473 * * [misc]simplify: iters left: 4 (49 enodes) 1554299833.482 * * [misc]simplify: iters left: 3 (54 enodes) 1554299833.488 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.488 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.488 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.488 * * [misc]simplify: Extracting #3: cost 16 inf + 83 1554299833.489 * * [misc]simplify: Extracting #4: cost 16 inf + 169 1554299833.489 * * [misc]simplify: Extracting #5: cost 3 inf + 1500 1554299833.489 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554299833.489 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)) 1554299833.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k)))) 1554299833.490 * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # 1554299833.490 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299833.490 * * [misc]simplify: iters left: 6 (12 enodes) 1554299833.493 * * [misc]simplify: iters left: 5 (41 enodes) 1554299833.499 * * [misc]simplify: iters left: 4 (48 enodes) 1554299833.505 * * [misc]simplify: iters left: 3 (50 enodes) 1554299833.515 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.515 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299833.515 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299833.515 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299833.515 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554299833.516 * * [misc]simplify: Extracting #5: cost 8 inf + 1494 1554299833.516 * * [misc]simplify: Extracting #6: cost 2 inf + 2926 1554299833.517 * * [misc]simplify: Extracting #7: cost 0 inf + 3954 1554299833.518 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299833.518 * [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))))) 1554299833.519 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554299833.519 * * [misc]simplify: iters left: 6 (10 enodes) 1554299833.524 * * [misc]simplify: iters left: 5 (32 enodes) 1554299833.533 * * [misc]simplify: iters left: 4 (37 enodes) 1554299833.544 * * [misc]simplify: iters left: 3 (39 enodes) 1554299833.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.555 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.555 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.555 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299833.555 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554299833.555 * * [misc]simplify: Extracting #5: cost 11 inf + 369 1554299833.556 * * [misc]simplify: Extracting #6: cost 6 inf + 659 1554299833.556 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554299833.557 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554299833.557 * [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))))) 1554299833.557 * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # 1554299833.557 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299833.557 * * [misc]simplify: iters left: 6 (11 enodes) 1554299833.563 * * [misc]simplify: iters left: 5 (36 enodes) 1554299833.571 * * [misc]simplify: iters left: 4 (41 enodes) 1554299833.578 * * [misc]simplify: iters left: 3 (43 enodes) 1554299833.584 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.584 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.584 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.584 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299833.584 * * [misc]simplify: Extracting #4: cost 12 inf + 291 1554299833.584 * * [misc]simplify: Extracting #5: cost 4 inf + 1121 1554299833.584 * * [misc]simplify: Extracting #6: cost 0 inf + 2404 1554299833.585 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299833.585 * [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))))) 1554299833.585 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299833.585 * * [misc]simplify: iters left: 6 (10 enodes) 1554299833.588 * * [misc]simplify: iters left: 5 (32 enodes) 1554299833.592 * * [misc]simplify: iters left: 4 (37 enodes) 1554299833.598 * * [misc]simplify: iters left: 3 (39 enodes) 1554299833.609 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.609 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.609 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.609 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299833.609 * * [misc]simplify: Extracting #4: cost 14 inf + 85 1554299833.609 * * [misc]simplify: Extracting #5: cost 11 inf + 289 1554299833.609 * * [misc]simplify: Extracting #6: cost 6 inf + 579 1554299833.610 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554299833.611 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299833.611 * [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))))) 1554299833.611 * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # 1554299833.611 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1554299833.611 * * [misc]simplify: iters left: 6 (10 enodes) 1554299833.617 * * [misc]simplify: iters left: 5 (33 enodes) 1554299833.628 * * [misc]simplify: iters left: 4 (40 enodes) 1554299833.640 * * [misc]simplify: iters left: 3 (42 enodes) 1554299833.652 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.652 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299833.652 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299833.652 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554299833.652 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554299833.653 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554299833.653 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554299833.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1554299833.653 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1554299833.654 * * [misc]simplify: iters left: 6 (9 enodes) 1554299833.658 * * [misc]simplify: iters left: 5 (29 enodes) 1554299833.662 * * [misc]simplify: iters left: 4 (34 enodes) 1554299833.667 * * [misc]simplify: iters left: 3 (36 enodes) 1554299833.672 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.672 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.672 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299833.672 * * [misc]simplify: Extracting #3: cost 9 inf + 84 1554299833.672 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299833.672 * * [misc]simplify: Extracting #5: cost 10 inf + 209 1554299833.672 * * [misc]simplify: Extracting #6: cost 6 inf + 457 1554299833.673 * * [misc]simplify: Extracting #7: cost 1 inf + 1624 1554299833.673 * * [misc]simplify: Extracting #8: cost 0 inf + 1918 1554299833.673 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1554299833.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) 1554299833.673 * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # 1554299833.673 * [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)))) 1554299833.674 * * [misc]simplify: iters left: 6 (16 enodes) 1554299833.678 * * [misc]simplify: iters left: 5 (60 enodes) 1554299833.691 * * [misc]simplify: iters left: 4 (88 enodes) 1554299833.708 * * [misc]simplify: iters left: 3 (102 enodes) 1554299833.721 * * [misc]simplify: iters left: 2 (105 enodes) 1554299833.739 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.739 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299833.739 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554299833.739 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554299833.739 * * [misc]simplify: Extracting #4: cost 35 inf + 163 1554299833.740 * * [misc]simplify: Extracting #5: cost 32 inf + 693 1554299833.740 * * [misc]simplify: Extracting #6: cost 20 inf + 1775 1554299833.742 * * [misc]simplify: Extracting #7: cost 3 inf + 10110 1554299833.745 * * [misc]simplify: Extracting #8: cost 0 inf + 11915 1554299833.748 * [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)))) 1554299833.748 * [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))))) 1554299833.749 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554299833.749 * * [misc]simplify: iters left: 6 (14 enodes) 1554299833.755 * * [misc]simplify: iters left: 5 (48 enodes) 1554299833.769 * * [misc]simplify: iters left: 4 (61 enodes) 1554299833.786 * * [misc]simplify: iters left: 3 (69 enodes) 1554299833.807 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.807 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.807 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299833.807 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299833.808 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554299833.808 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1554299833.808 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1554299833.809 * * [misc]simplify: Extracting #7: cost 1 inf + 3518 1554299833.810 * * [misc]simplify: Extracting #8: cost 0 inf + 4133 1554299833.811 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554299833.811 * [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))))) 1554299833.812 * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # 1554299833.812 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554299833.812 * * [misc]simplify: iters left: 6 (15 enodes) 1554299833.820 * * [misc]simplify: iters left: 5 (53 enodes) 1554299833.836 * * [misc]simplify: iters left: 4 (70 enodes) 1554299833.856 * * [misc]simplify: iters left: 3 (80 enodes) 1554299833.867 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.867 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299833.867 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299833.867 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554299833.867 * * [misc]simplify: Extracting #4: cost 25 inf + 245 1554299833.867 * * [misc]simplify: Extracting #5: cost 27 inf + 249 1554299833.868 * * [misc]simplify: Extracting #6: cost 15 inf + 1542 1554299833.868 * * [misc]simplify: Extracting #7: cost 1 inf + 6768 1554299833.869 * * [misc]simplify: Extracting #8: cost 0 inf + 7343 1554299833.870 * [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)))) 1554299833.870 * [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))))) 1554299833.870 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299833.870 * * [misc]simplify: iters left: 6 (14 enodes) 1554299833.874 * * [misc]simplify: iters left: 5 (48 enodes) 1554299833.881 * * [misc]simplify: iters left: 4 (61 enodes) 1554299833.890 * * [misc]simplify: iters left: 3 (69 enodes) 1554299833.899 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.899 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299833.899 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299833.899 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299833.899 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554299833.899 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1554299833.900 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1554299833.900 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1554299833.901 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1554299833.901 * [exit]simplify: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299833.901 * [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))))) 1554299833.901 * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # 1554299833.902 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) 1554299833.902 * * [misc]simplify: iters left: 6 (14 enodes) 1554299833.906 * * [misc]simplify: iters left: 5 (50 enodes) 1554299833.920 * * [misc]simplify: iters left: 4 (73 enodes) 1554299833.940 * * [misc]simplify: iters left: 3 (81 enodes) 1554299833.960 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299833.960 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299833.960 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299833.961 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299833.961 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1554299833.961 * * [misc]simplify: Extracting #5: cost 24 inf + 5 1554299833.961 * * [misc]simplify: Extracting #6: cost 12 inf + 1046 1554299833.962 * * [misc]simplify: Extracting #7: cost 2 inf + 3571 1554299833.963 * * [misc]simplify: Extracting #8: cost 0 inf + 4562 1554299833.965 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1554299833.965 * [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)))) 1554299833.965 * [enter]simplify: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554299833.966 * * [misc]simplify: iters left: 6 (13 enodes) 1554299833.972 * * [misc]simplify: iters left: 5 (45 enodes) 1554299833.985 * * [misc]simplify: iters left: 4 (58 enodes) 1554299834.002 * * [misc]simplify: iters left: 3 (65 enodes) 1554299834.018 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.018 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.018 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299834.018 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299834.019 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1554299834.019 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1554299834.019 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1554299834.020 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554299834.021 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554299834.022 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554299834.022 * [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)))) 1554299834.022 * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # 1554299834.023 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299834.023 * * [misc]simplify: iters left: 6 (15 enodes) 1554299834.030 * * [misc]simplify: iters left: 5 (53 enodes) 1554299834.046 * * [misc]simplify: iters left: 4 (68 enodes) 1554299834.056 * * [misc]simplify: iters left: 3 (75 enodes) 1554299834.066 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.066 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299834.066 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554299834.066 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299834.066 * * [misc]simplify: Extracting #4: cost 26 inf + 42 1554299834.066 * * [misc]simplify: Extracting #5: cost 24 inf + 530 1554299834.067 * * [misc]simplify: Extracting #6: cost 11 inf + 1944 1554299834.067 * * [misc]simplify: Extracting #7: cost 0 inf + 5525 1554299834.068 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299834.068 * [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))))) 1554299834.068 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554299834.068 * * [misc]simplify: iters left: 6 (14 enodes) 1554299834.072 * * [misc]simplify: iters left: 5 (48 enodes) 1554299834.080 * * [misc]simplify: iters left: 4 (61 enodes) 1554299834.091 * * [misc]simplify: iters left: 3 (69 enodes) 1554299834.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.109 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.109 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299834.109 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299834.109 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554299834.109 * * [misc]simplify: Extracting #5: cost 20 inf + 371 1554299834.110 * * [misc]simplify: Extracting #6: cost 7 inf + 1535 1554299834.111 * * [misc]simplify: Extracting #7: cost 1 inf + 3398 1554299834.112 * * [misc]simplify: Extracting #8: cost 0 inf + 3973 1554299834.113 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1554299834.113 * [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))))) 1554299834.113 * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # 1554299834.113 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299834.114 * * [misc]simplify: iters left: 6 (14 enodes) 1554299834.121 * * [misc]simplify: iters left: 5 (48 enodes) 1554299834.135 * * [misc]simplify: iters left: 4 (61 enodes) 1554299834.152 * * [misc]simplify: iters left: 3 (69 enodes) 1554299834.168 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.168 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.168 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299834.168 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299834.168 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554299834.168 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1554299834.169 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1554299834.169 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1554299834.170 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1554299834.170 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299834.170 * [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))))) 1554299834.170 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299834.170 * * [misc]simplify: iters left: 6 (14 enodes) 1554299834.175 * * [misc]simplify: iters left: 5 (48 enodes) 1554299834.183 * * [misc]simplify: iters left: 4 (61 enodes) 1554299834.192 * * [misc]simplify: iters left: 3 (69 enodes) 1554299834.201 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.201 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.201 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299834.201 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299834.201 * * [misc]simplify: Extracting #4: cost 22 inf + 42 1554299834.201 * * [misc]simplify: Extracting #5: cost 20 inf + 291 1554299834.201 * * [misc]simplify: Extracting #6: cost 7 inf + 1455 1554299834.202 * * [misc]simplify: Extracting #7: cost 1 inf + 3278 1554299834.202 * * [misc]simplify: Extracting #8: cost 0 inf + 3813 1554299834.203 * [exit]simplify: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299834.203 * [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))))) 1554299834.203 * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # 1554299834.203 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) 1554299834.203 * * [misc]simplify: iters left: 6 (13 enodes) 1554299834.207 * * [misc]simplify: iters left: 5 (45 enodes) 1554299834.214 * * [misc]simplify: iters left: 4 (60 enodes) 1554299834.224 * * [misc]simplify: iters left: 3 (67 enodes) 1554299834.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.240 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.240 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299834.240 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299834.240 * * [misc]simplify: Extracting #4: cost 19 inf + 47 1554299834.241 * * [misc]simplify: Extracting #5: cost 4 inf + 1254 1554299834.241 * * [misc]simplify: Extracting #6: cost 1 inf + 2085 1554299834.242 * * [misc]simplify: Extracting #7: cost 0 inf + 2500 1554299834.243 * [exit]simplify: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1554299834.243 * [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)))) 1554299834.244 * [enter]simplify: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554299834.244 * * [misc]simplify: iters left: 6 (13 enodes) 1554299834.250 * * [misc]simplify: iters left: 5 (45 enodes) 1554299834.261 * * [misc]simplify: iters left: 4 (58 enodes) 1554299834.271 * * [misc]simplify: iters left: 3 (65 enodes) 1554299834.280 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.280 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.280 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299834.281 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299834.281 * * [misc]simplify: Extracting #4: cost 20 inf + 42 1554299834.281 * * [misc]simplify: Extracting #5: cost 18 inf + 253 1554299834.281 * * [misc]simplify: Extracting #6: cost 8 inf + 1169 1554299834.281 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1554299834.282 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1554299834.282 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1554299834.282 * [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)))) 1554299834.282 * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # 1554299834.283 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299834.283 * * [misc]simplify: iters left: 6 (6 enodes) 1554299834.284 * * [misc]simplify: iters left: 5 (22 enodes) 1554299834.288 * * [misc]simplify: iters left: 4 (26 enodes) 1554299834.292 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.292 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299834.292 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299834.292 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299834.292 * * [misc]simplify: Extracting #4: cost 8 inf + 84 1554299834.292 * * [misc]simplify: Extracting #5: cost 2 inf + 1013 1554299834.292 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554299834.293 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299834.293 * [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))))) 1554299834.293 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554299834.293 * * [misc]simplify: iters left: 6 (13 enodes) 1554299834.297 * * [misc]simplify: iters left: 5 (45 enodes) 1554299834.303 * * [misc]simplify: iters left: 4 (58 enodes) 1554299834.318 * * [misc]simplify: iters left: 3 (65 enodes) 1554299834.335 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.335 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.335 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299834.335 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299834.336 * * [misc]simplify: Extracting #4: cost 18 inf + 333 1554299834.336 * * [misc]simplify: Extracting #5: cost 6 inf + 1411 1554299834.337 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1554299834.338 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1554299834.339 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1554299834.339 * [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))))) 1554299834.339 * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # 1554299834.339 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1554299834.339 * * [misc]simplify: iters left: 4 (5 enodes) 1554299834.342 * * [misc]simplify: iters left: 3 (17 enodes) 1554299834.347 * * [misc]simplify: iters left: 2 (19 enodes) 1554299834.353 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.353 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.353 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299834.353 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554299834.354 * * [misc]simplify: Extracting #4: cost 0 inf + 490 1554299834.354 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554299834.354 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1554299834.354 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299834.354 * * [misc]simplify: iters left: 6 (13 enodes) 1554299834.361 * * [misc]simplify: iters left: 5 (45 enodes) 1554299834.374 * * [misc]simplify: iters left: 4 (58 enodes) 1554299834.384 * * [misc]simplify: iters left: 3 (65 enodes) 1554299834.394 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.394 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.394 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299834.394 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299834.394 * * [misc]simplify: Extracting #4: cost 18 inf + 293 1554299834.395 * * [misc]simplify: Extracting #5: cost 6 inf + 1331 1554299834.395 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1554299834.396 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1554299834.396 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299834.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1554299834.396 * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # 1554299834.396 * [enter]simplify: Simplifying (/ 1 1) 1554299834.396 * * [misc]simplify: iters left: 2 (2 enodes) 1554299834.397 * * [misc]simplify: iters left: 1 (6 enodes) 1554299834.398 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.398 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554299834.398 * [exit]simplify: Simplified to 1 1554299834.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1554299834.399 * [enter]simplify: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1554299834.399 * * [misc]simplify: iters left: 6 (12 enodes) 1554299834.402 * * [misc]simplify: iters left: 5 (42 enodes) 1554299834.408 * * [misc]simplify: iters left: 4 (55 enodes) 1554299834.423 * * [misc]simplify: iters left: 3 (62 enodes) 1554299834.439 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.439 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.439 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299834.439 * * [misc]simplify: Extracting #3: cost 18 inf + 42 1554299834.439 * * [misc]simplify: Extracting #4: cost 18 inf + 129 1554299834.440 * * [misc]simplify: Extracting #5: cost 6 inf + 1502 1554299834.440 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554299834.441 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554299834.442 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1554299834.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1554299834.442 * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # 1554299834.442 * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # 1554299834.442 * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # 1554299834.442 * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # 1554299834.443 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1554299834.443 * * [misc]simplify: iters left: 2 (3 enodes) 1554299834.444 * * [misc]simplify: iters left: 1 (9 enodes) 1554299834.446 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.446 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299834.446 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299834.446 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554299834.447 * * [misc]simplify: Extracting #4: cost 0 inf + 325 1554299834.447 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1554299834.447 * [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)))) 1554299834.447 * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # 1554299834.447 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554299834.447 * * [misc]simplify: iters left: 2 (3 enodes) 1554299834.448 * * [misc]simplify: iters left: 1 (9 enodes) 1554299834.451 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.451 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299834.451 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299834.451 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554299834.451 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554299834.451 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554299834.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1554299834.451 * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # 1554299834.452 * [enter]simplify: Simplifying (sqrt k) 1554299834.452 * * [misc]simplify: iters left: 1 (2 enodes) 1554299834.453 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.453 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299834.453 * * [misc]simplify: Extracting #2: cost 2 inf + 1 1554299834.453 * * [misc]simplify: Extracting #3: cost 0 inf + 83 1554299834.453 * [exit]simplify: Simplified to (sqrt k) 1554299834.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k))) 1554299834.453 * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # 1554299834.453 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1554299834.453 * * [misc]simplify: iters left: 5 (7 enodes) 1554299834.457 * * [misc]simplify: iters left: 4 (26 enodes) 1554299834.466 * * [misc]simplify: iters left: 3 (34 enodes) 1554299834.476 * * [misc]simplify: iters left: 2 (39 enodes) 1554299834.486 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.486 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.486 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554299834.486 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1554299834.487 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1554299834.487 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1554299834.487 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1554299834.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1554299834.488 * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # 1554299834.488 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1554299834.488 * * [misc]simplify: iters left: 5 (7 enodes) 1554299834.493 * * [misc]simplify: iters left: 4 (26 enodes) 1554299834.500 * * [misc]simplify: iters left: 3 (34 enodes) 1554299834.507 * * [misc]simplify: iters left: 2 (39 enodes) 1554299834.512 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.512 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.512 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554299834.512 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1554299834.513 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1554299834.513 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1554299834.513 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1554299834.513 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))) 1554299834.513 * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # 1554299834.513 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554299834.513 * * [misc]simplify: iters left: 5 (8 enodes) 1554299834.517 * * [misc]simplify: iters left: 4 (27 enodes) 1554299834.521 * * [misc]simplify: iters left: 3 (32 enodes) 1554299834.525 * * [misc]simplify: iters left: 2 (34 enodes) 1554299834.530 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.531 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.531 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554299834.531 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554299834.531 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554299834.531 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554299834.531 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554299834.532 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554299834.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299834.532 * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # 1554299834.532 * [enter]simplify: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299834.532 * * [misc]simplify: iters left: 6 (12 enodes) 1554299834.538 * * [misc]simplify: iters left: 5 (42 enodes) 1554299834.551 * * [misc]simplify: iters left: 4 (55 enodes) 1554299834.566 * * [misc]simplify: iters left: 3 (62 enodes) 1554299834.583 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.583 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299834.583 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299834.583 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554299834.583 * * [misc]simplify: Extracting #4: cost 19 inf + 0 1554299834.583 * * [misc]simplify: Extracting #5: cost 22 inf + 4 1554299834.584 * * [misc]simplify: Extracting #6: cost 10 inf + 1256 1554299834.584 * * [misc]simplify: Extracting #7: cost 1 inf + 3074 1554299834.585 * * [misc]simplify: Extracting #8: cost 0 inf + 3569 1554299834.586 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299834.586 * [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))))))) 1554299834.586 * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # 1554299834.587 * [enter]simplify: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299834.587 * * [misc]simplify: iters left: 6 (11 enodes) 1554299834.593 * * [misc]simplify: iters left: 5 (39 enodes) 1554299834.604 * * [misc]simplify: iters left: 4 (52 enodes) 1554299834.619 * * [misc]simplify: iters left: 3 (59 enodes) 1554299834.634 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.634 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299834.634 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299834.634 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299834.635 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1554299834.635 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1554299834.636 * * [misc]simplify: Extracting #6: cost 0 inf + 2499 1554299834.637 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1554299834.637 * [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))))))) 1554299834.637 * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # 1554299834.637 * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # 1554299834.637 * [enter]simplify: Simplifying (pow (* (* n 2) PI) 1/2) 1554299834.637 * * [misc]simplify: iters left: 5 (7 enodes) 1554299834.642 * * [misc]simplify: iters left: 4 (26 enodes) 1554299834.650 * * [misc]simplify: iters left: 3 (34 enodes) 1554299834.663 * * [misc]simplify: iters left: 2 (39 enodes) 1554299834.673 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.673 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299834.673 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554299834.673 * * [misc]simplify: Extracting #3: cost 9 inf + 46 1554299834.673 * * [misc]simplify: Extracting #4: cost 1 inf + 626 1554299834.674 * * [misc]simplify: Extracting #5: cost 0 inf + 668 1554299834.674 * [exit]simplify: Simplified to (sqrt (* n (* PI 2))) 1554299834.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2))))) 1554299834.674 * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate #real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))> 1554299834.674 * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # 1554299834.675 * [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))))) 1554299834.675 * * [misc]simplify: iters left: 6 (37 enodes) 1554299834.696 * * [misc]simplify: iters left: 5 (179 enodes) 1554299834.763 * * [misc]simplify: iters left: 4 (458 enodes) 1554299834.937 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299834.937 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1554299834.938 * * [misc]simplify: Extracting #2: cost 287 inf + 0 1554299834.939 * * [misc]simplify: Extracting #3: cost 485 inf + 158 1554299834.942 * * [misc]simplify: Extracting #4: cost 473 inf + 4949 1554299834.956 * * [misc]simplify: Extracting #5: cost 294 inf + 68227 1554299835.008 * * [misc]simplify: Extracting #6: cost 43 inf + 204764 1554299835.072 * * [misc]simplify: Extracting #7: cost 0 inf + 227627 1554299835.149 * * [misc]simplify: Extracting #8: cost 0 inf + 222950 1554299835.220 * * [misc]simplify: Extracting #9: cost 0 inf + 222310 1554299835.271 * [exit]simplify: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) 1554299835.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) (sqrt k))) 1554299835.271 * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # 1554299835.272 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1554299835.272 * * [misc]simplify: iters left: 6 (15 enodes) 1554299835.276 * * [misc]simplify: iters left: 5 (63 enodes) 1554299835.289 * * [misc]simplify: iters left: 4 (108 enodes) 1554299835.328 * * [misc]simplify: iters left: 3 (260 enodes) 1554299835.431 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299835.431 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299835.432 * * [misc]simplify: Extracting #2: cost 115 inf + 0 1554299835.433 * * [misc]simplify: Extracting #3: cost 221 inf + 4 1554299835.435 * * [misc]simplify: Extracting #4: cost 174 inf + 5827 1554299835.446 * * [misc]simplify: Extracting #5: cost 46 inf + 35251 1554299835.463 * * [misc]simplify: Extracting #6: cost 0 inf + 47711 1554299835.477 * * [misc]simplify: Extracting #7: cost 0 inf + 47571 1554299835.486 * [exit]simplify: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) 1554299835.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) (sqrt k))) 1554299835.486 * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # 1554299835.486 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1554299835.486 * * [misc]simplify: iters left: 6 (15 enodes) 1554299835.491 * * [misc]simplify: iters left: 5 (60 enodes) 1554299835.501 * * [misc]simplify: iters left: 4 (111 enodes) 1554299835.533 * * [misc]simplify: iters left: 3 (294 enodes) 1554299835.663 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299835.663 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299835.663 * * [misc]simplify: Extracting #2: cost 142 inf + 0 1554299835.665 * * [misc]simplify: Extracting #3: cost 317 inf + 187 1554299835.668 * * [misc]simplify: Extracting #4: cost 290 inf + 2919 1554299835.680 * * [misc]simplify: Extracting #5: cost 105 inf + 47243 1554299835.708 * * [misc]simplify: Extracting #6: cost 3 inf + 79409 1554299835.738 * * [misc]simplify: Extracting #7: cost 0 inf + 77357 1554299835.752 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1554299835.752 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) 1554299835.752 * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # 1554299835.752 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554299835.752 * * [misc]simplify: iters left: 4 (5 enodes) 1554299835.754 * * [misc]simplify: iters left: 3 (19 enodes) 1554299835.757 * * [misc]simplify: iters left: 2 (27 enodes) 1554299835.761 * * [misc]simplify: iters left: 1 (32 enodes) 1554299835.768 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299835.768 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299835.769 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299835.769 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299835.769 * [exit]simplify: Simplified to (* (* PI n) 2) 1554299835.769 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1554299835.769 * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # 1554299835.770 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554299835.770 * * [misc]simplify: iters left: 4 (5 enodes) 1554299835.773 * * [misc]simplify: iters left: 3 (19 enodes) 1554299835.778 * * [misc]simplify: iters left: 2 (27 enodes) 1554299835.781 * * [misc]simplify: iters left: 1 (32 enodes) 1554299835.785 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299835.785 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299835.785 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299835.786 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299835.786 * [exit]simplify: Simplified to (* (* PI n) 2) 1554299835.786 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1554299835.786 * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # 1554299835.786 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554299835.786 * * [misc]simplify: iters left: 4 (5 enodes) 1554299835.787 * * [misc]simplify: iters left: 3 (19 enodes) 1554299835.791 * * [misc]simplify: iters left: 2 (27 enodes) 1554299835.794 * * [misc]simplify: iters left: 1 (32 enodes) 1554299835.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299835.798 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299835.799 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299835.799 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299835.799 * [exit]simplify: Simplified to (* (* PI n) 2) 1554299835.799 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1554299835.799 * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # 1554299835.799 * [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)))))))))))))))))))))) 1554299835.799 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299835.800 * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # 1554299835.800 * [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)))))))) 1554299835.800 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299835.800 * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # 1554299835.800 * [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))))))))))) 1554299835.800 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299835.800 * * * [misc]progress: adding candidates to table 1554299836.591 * * [misc]progress: iteration 2 / 4 1554299836.591 * * * [misc]progress: picking best candidate 1554299836.635 * * * * [misc]pick: Picked # 1554299836.635 * * * [misc]progress: localizing error 1554299836.646 * * * [misc]progress: generating rewritten candidates 1554299836.647 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1554299836.653 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1554299836.659 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1554299836.671 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1554299836.679 * * * [misc]progress: generating series expansions 1554299836.679 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1554299836.679 * [misc]backup-simplify: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1554299836.679 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1554299836.679 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.679 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.679 * [misc]taylor: Taking taylor expansion of k in k 1554299836.679 * [misc]backup-simplify: Simplify 0 into 0 1554299836.679 * [misc]backup-simplify: Simplify 1 into 1 1554299836.679 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.679 * [misc]backup-simplify: Simplify 2 into 2 1554299836.679 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299836.679 * [misc]taylor: Taking taylor expansion of n in k 1554299836.679 * [misc]backup-simplify: Simplify n into n 1554299836.679 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.679 * [misc]backup-simplify: Simplify PI into PI 1554299836.679 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299836.679 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299836.679 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299836.680 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299836.680 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.680 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299836.680 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299836.680 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299836.680 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.680 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.680 * [misc]taylor: Taking taylor expansion of k in n 1554299836.680 * [misc]backup-simplify: Simplify k into k 1554299836.680 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.680 * [misc]backup-simplify: Simplify 2 into 2 1554299836.680 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.680 * [misc]taylor: Taking taylor expansion of n in n 1554299836.680 * [misc]backup-simplify: Simplify 0 into 0 1554299836.680 * [misc]backup-simplify: Simplify 1 into 1 1554299836.680 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.680 * [misc]backup-simplify: Simplify PI into PI 1554299836.681 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.681 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299836.681 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.682 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299836.682 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.682 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299836.682 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299836.682 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299836.683 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.683 * [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)))) 1554299836.683 * [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))))) 1554299836.683 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.683 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.683 * [misc]taylor: Taking taylor expansion of k in n 1554299836.683 * [misc]backup-simplify: Simplify k into k 1554299836.683 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299836.683 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.684 * [misc]backup-simplify: Simplify 2 into 2 1554299836.684 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.684 * [misc]taylor: Taking taylor expansion of n in n 1554299836.684 * [misc]backup-simplify: Simplify 0 into 0 1554299836.684 * [misc]backup-simplify: Simplify 1 into 1 1554299836.684 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.684 * [misc]backup-simplify: Simplify PI into PI 1554299836.684 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.684 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299836.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.685 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299836.685 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.685 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299836.685 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299836.685 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299836.685 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.686 * [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)))) 1554299836.686 * [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))))) 1554299836.686 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1554299836.686 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1554299836.686 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299836.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.686 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299836.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.686 * [misc]taylor: Taking taylor expansion of k in k 1554299836.686 * [misc]backup-simplify: Simplify 0 into 0 1554299836.686 * [misc]backup-simplify: Simplify 1 into 1 1554299836.686 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1554299836.687 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299836.687 * [misc]taylor: Taking taylor expansion of n in k 1554299836.687 * [misc]backup-simplify: Simplify n into n 1554299836.687 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299836.687 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554299836.687 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554299836.687 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.687 * [misc]backup-simplify: Simplify 2 into 2 1554299836.687 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.687 * [misc]backup-simplify: Simplify PI into PI 1554299836.687 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.687 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.687 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299836.687 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.687 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299836.688 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.688 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1554299836.688 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554299836.689 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1554299836.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299836.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299836.692 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299836.692 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299836.692 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.692 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.693 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554299836.694 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299836.694 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.694 * [misc]backup-simplify: Simplify 0 into 0 1554299836.694 * [misc]backup-simplify: Simplify 0 into 0 1554299836.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299836.695 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299836.696 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299836.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.697 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299836.697 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299836.697 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299836.697 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1554299836.698 * [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))))))) 1554299836.699 * [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))))))) 1554299836.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299836.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554299836.704 * [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 1554299836.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299836.704 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.704 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.705 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554299836.706 * [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 1554299836.706 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.706 * [misc]backup-simplify: Simplify 0 into 0 1554299836.706 * [misc]backup-simplify: Simplify 0 into 0 1554299836.706 * [misc]backup-simplify: Simplify 0 into 0 1554299836.707 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299836.708 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299836.711 * [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 1554299836.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299836.712 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1554299836.715 * [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))))) 1554299836.717 * [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))))) 1554299836.721 * [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))))) 1554299836.721 * [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)))) 1554299836.722 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554299836.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of k in k 1554299836.722 * [misc]backup-simplify: Simplify 0 into 0 1554299836.722 * [misc]backup-simplify: Simplify 1 into 1 1554299836.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.722 * [misc]backup-simplify: Simplify 2 into 2 1554299836.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299836.722 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.722 * [misc]backup-simplify: Simplify PI into PI 1554299836.722 * [misc]taylor: Taking taylor expansion of n in k 1554299836.722 * [misc]backup-simplify: Simplify n into n 1554299836.722 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299836.722 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299836.722 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299836.723 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299836.723 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299836.723 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299836.723 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299836.723 * [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)))) 1554299836.723 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299836.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299836.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299836.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299836.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.723 * [misc]taylor: Taking taylor expansion of k in n 1554299836.723 * [misc]backup-simplify: Simplify k into k 1554299836.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.723 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299836.724 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.724 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.724 * [misc]backup-simplify: Simplify 2 into 2 1554299836.724 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.724 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.724 * [misc]backup-simplify: Simplify PI into PI 1554299836.724 * [misc]taylor: Taking taylor expansion of n in n 1554299836.724 * [misc]backup-simplify: Simplify 0 into 0 1554299836.724 * [misc]backup-simplify: Simplify 1 into 1 1554299836.724 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.724 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.725 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.725 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.725 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299836.725 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299836.726 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.726 * [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))) 1554299836.727 * [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)))) 1554299836.727 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of k in n 1554299836.727 * [misc]backup-simplify: Simplify k into k 1554299836.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.727 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.727 * [misc]backup-simplify: Simplify 2 into 2 1554299836.727 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.727 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.727 * [misc]backup-simplify: Simplify PI into PI 1554299836.727 * [misc]taylor: Taking taylor expansion of n in n 1554299836.727 * [misc]backup-simplify: Simplify 0 into 0 1554299836.727 * [misc]backup-simplify: Simplify 1 into 1 1554299836.727 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.728 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.728 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.728 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299836.728 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299836.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.729 * [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))) 1554299836.730 * [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)))) 1554299836.730 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1554299836.730 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1554299836.730 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299836.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.730 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299836.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.730 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.730 * [misc]taylor: Taking taylor expansion of k in k 1554299836.730 * [misc]backup-simplify: Simplify 0 into 0 1554299836.730 * [misc]backup-simplify: Simplify 1 into 1 1554299836.730 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.730 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1554299836.731 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1554299836.731 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1554299836.731 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.731 * [misc]backup-simplify: Simplify 2 into 2 1554299836.731 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.731 * [misc]backup-simplify: Simplify PI into PI 1554299836.731 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.731 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.731 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299836.731 * [misc]taylor: Taking taylor expansion of n in k 1554299836.731 * [misc]backup-simplify: Simplify n into n 1554299836.731 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299836.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299836.732 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299836.732 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299836.732 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299836.732 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1554299836.733 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1554299836.733 * [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)))) 1554299836.734 * [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)))) 1554299836.735 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299836.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299836.738 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299836.738 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299836.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299836.739 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.740 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.740 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554299836.742 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299836.742 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.742 * [misc]backup-simplify: Simplify 0 into 0 1554299836.742 * [misc]backup-simplify: Simplify 0 into 0 1554299836.742 * [misc]backup-simplify: Simplify 0 into 0 1554299836.743 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.745 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299836.750 * [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 1554299836.751 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299836.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299836.751 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.752 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.753 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1554299836.756 * [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 1554299836.756 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.756 * [misc]backup-simplify: Simplify 0 into 0 1554299836.756 * [misc]backup-simplify: Simplify 0 into 0 1554299836.756 * [misc]backup-simplify: Simplify 0 into 0 1554299836.756 * [misc]backup-simplify: Simplify 0 into 0 1554299836.758 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.760 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299836.768 * [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 1554299836.768 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299836.768 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299836.769 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.769 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.769 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.770 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1554299836.774 * [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 1554299836.774 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.774 * [misc]backup-simplify: Simplify 0 into 0 1554299836.774 * [misc]backup-simplify: Simplify 0 into 0 1554299836.775 * [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))))) 1554299836.775 * [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)) 1554299836.775 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554299836.775 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299836.775 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299836.775 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299836.775 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299836.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299836.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.775 * [misc]taylor: Taking taylor expansion of k in k 1554299836.775 * [misc]backup-simplify: Simplify 0 into 0 1554299836.775 * [misc]backup-simplify: Simplify 1 into 1 1554299836.776 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.776 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299836.776 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299836.776 * [misc]taylor: Taking taylor expansion of -2 in k 1554299836.776 * [misc]backup-simplify: Simplify -2 into -2 1554299836.776 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299836.776 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.776 * [misc]backup-simplify: Simplify PI into PI 1554299836.776 * [misc]taylor: Taking taylor expansion of n in k 1554299836.776 * [misc]backup-simplify: Simplify n into n 1554299836.776 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299836.776 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299836.776 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299836.776 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299836.776 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299836.777 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299836.777 * [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))) 1554299836.777 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of k in n 1554299836.777 * [misc]backup-simplify: Simplify k into k 1554299836.777 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.777 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of -2 in n 1554299836.777 * [misc]backup-simplify: Simplify -2 into -2 1554299836.777 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.777 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.777 * [misc]backup-simplify: Simplify PI into PI 1554299836.777 * [misc]taylor: Taking taylor expansion of n in n 1554299836.777 * [misc]backup-simplify: Simplify 0 into 0 1554299836.777 * [misc]backup-simplify: Simplify 1 into 1 1554299836.778 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.778 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299836.779 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299836.779 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.779 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299836.779 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299836.780 * [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))) 1554299836.781 * [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)))) 1554299836.781 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.781 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of k in n 1554299836.781 * [misc]backup-simplify: Simplify k into k 1554299836.781 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.781 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of -2 in n 1554299836.781 * [misc]backup-simplify: Simplify -2 into -2 1554299836.781 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.781 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.781 * [misc]backup-simplify: Simplify PI into PI 1554299836.781 * [misc]taylor: Taking taylor expansion of n in n 1554299836.781 * [misc]backup-simplify: Simplify 0 into 0 1554299836.781 * [misc]backup-simplify: Simplify 1 into 1 1554299836.782 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.782 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299836.782 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299836.782 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.783 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299836.783 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299836.784 * [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))) 1554299836.784 * [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)))) 1554299836.784 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of k in k 1554299836.785 * [misc]backup-simplify: Simplify 0 into 0 1554299836.785 * [misc]backup-simplify: Simplify 1 into 1 1554299836.785 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.785 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1554299836.785 * [misc]taylor: Taking taylor expansion of -2 in k 1554299836.785 * [misc]backup-simplify: Simplify -2 into -2 1554299836.785 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.785 * [misc]backup-simplify: Simplify PI into PI 1554299836.785 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299836.786 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299836.786 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299836.786 * [misc]taylor: Taking taylor expansion of n in k 1554299836.786 * [misc]backup-simplify: Simplify n into n 1554299836.786 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299836.786 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299836.786 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299836.786 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299836.787 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1554299836.787 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1554299836.788 * [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)))) 1554299836.789 * [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)))) 1554299836.790 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299836.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299836.793 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554299836.793 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299836.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299836.794 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.794 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299836.795 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1554299836.797 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299836.797 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.797 * [misc]backup-simplify: Simplify 0 into 0 1554299836.797 * [misc]backup-simplify: Simplify 0 into 0 1554299836.797 * [misc]backup-simplify: Simplify 0 into 0 1554299836.798 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.799 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299836.804 * [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 1554299836.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299836.805 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299836.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.806 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299836.806 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1554299836.809 * [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 1554299836.809 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.809 * [misc]backup-simplify: Simplify 0 into 0 1554299836.809 * [misc]backup-simplify: Simplify 0 into 0 1554299836.809 * [misc]backup-simplify: Simplify 0 into 0 1554299836.809 * [misc]backup-simplify: Simplify 0 into 0 1554299836.810 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.812 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299836.822 * [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 1554299836.822 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299836.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299836.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.823 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299836.824 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1554299836.828 * [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 1554299836.828 * [misc]taylor: Taking taylor expansion of 0 in k 1554299836.828 * [misc]backup-simplify: Simplify 0 into 0 1554299836.828 * [misc]backup-simplify: Simplify 0 into 0 1554299836.829 * [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))))) 1554299836.829 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1554299836.829 * [misc]backup-simplify: Simplify (* (* n 2) PI) into (* 2 (* n PI)) 1554299836.829 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1554299836.829 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299836.829 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.829 * [misc]backup-simplify: Simplify 2 into 2 1554299836.829 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.829 * [misc]taylor: Taking taylor expansion of n in n 1554299836.829 * [misc]backup-simplify: Simplify 0 into 0 1554299836.829 * [misc]backup-simplify: Simplify 1 into 1 1554299836.829 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.829 * [misc]backup-simplify: Simplify PI into PI 1554299836.829 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299836.829 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.829 * [misc]backup-simplify: Simplify 2 into 2 1554299836.829 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.829 * [misc]taylor: Taking taylor expansion of n in n 1554299836.829 * [misc]backup-simplify: Simplify 0 into 0 1554299836.829 * [misc]backup-simplify: Simplify 1 into 1 1554299836.829 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.829 * [misc]backup-simplify: Simplify PI into PI 1554299836.830 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.830 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299836.830 * [misc]backup-simplify: Simplify 0 into 0 1554299836.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.831 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299836.832 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.833 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299836.834 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299836.834 * [misc]backup-simplify: Simplify 0 into 0 1554299836.835 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299836.836 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1554299836.836 * [misc]backup-simplify: Simplify 0 into 0 1554299836.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299836.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1554299836.841 * [misc]backup-simplify: Simplify 0 into 0 1554299836.843 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554299836.846 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1554299836.846 * [misc]backup-simplify: Simplify 0 into 0 1554299836.850 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554299836.853 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1554299836.853 * [misc]backup-simplify: Simplify 0 into 0 1554299836.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1554299836.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1554299836.861 * [misc]backup-simplify: Simplify 0 into 0 1554299836.861 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1554299836.861 * [misc]backup-simplify: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n)) 1554299836.861 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1554299836.861 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.861 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.861 * [misc]backup-simplify: Simplify 2 into 2 1554299836.861 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.861 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.861 * [misc]backup-simplify: Simplify PI into PI 1554299836.861 * [misc]taylor: Taking taylor expansion of n in n 1554299836.861 * [misc]backup-simplify: Simplify 0 into 0 1554299836.861 * [misc]backup-simplify: Simplify 1 into 1 1554299836.862 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.862 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.862 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.862 * [misc]backup-simplify: Simplify 2 into 2 1554299836.862 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.862 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.862 * [misc]backup-simplify: Simplify PI into PI 1554299836.862 * [misc]taylor: Taking taylor expansion of n in n 1554299836.862 * [misc]backup-simplify: Simplify 0 into 0 1554299836.862 * [misc]backup-simplify: Simplify 1 into 1 1554299836.862 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.862 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.862 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.863 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299836.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299836.863 * [misc]backup-simplify: Simplify 0 into 0 1554299836.864 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.865 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299836.865 * [misc]backup-simplify: Simplify 0 into 0 1554299836.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.867 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299836.867 * [misc]backup-simplify: Simplify 0 into 0 1554299836.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299836.869 * [misc]backup-simplify: Simplify 0 into 0 1554299836.870 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.871 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554299836.872 * [misc]backup-simplify: Simplify 0 into 0 1554299836.873 * [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 1554299836.875 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554299836.875 * [misc]backup-simplify: Simplify 0 into 0 1554299836.875 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1554299836.875 * [misc]backup-simplify: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n)) 1554299836.875 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1554299836.875 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299836.875 * [misc]taylor: Taking taylor expansion of -2 in n 1554299836.875 * [misc]backup-simplify: Simplify -2 into -2 1554299836.875 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.875 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.875 * [misc]backup-simplify: Simplify PI into PI 1554299836.876 * [misc]taylor: Taking taylor expansion of n in n 1554299836.876 * [misc]backup-simplify: Simplify 0 into 0 1554299836.876 * [misc]backup-simplify: Simplify 1 into 1 1554299836.876 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.876 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299836.876 * [misc]taylor: Taking taylor expansion of -2 in n 1554299836.876 * [misc]backup-simplify: Simplify -2 into -2 1554299836.876 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.876 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.876 * [misc]backup-simplify: Simplify PI into PI 1554299836.876 * [misc]taylor: Taking taylor expansion of n in n 1554299836.876 * [misc]backup-simplify: Simplify 0 into 0 1554299836.876 * [misc]backup-simplify: Simplify 1 into 1 1554299836.876 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.876 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299836.876 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299836.877 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299836.877 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299836.877 * [misc]backup-simplify: Simplify 0 into 0 1554299836.878 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.879 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1554299836.879 * [misc]backup-simplify: Simplify 0 into 0 1554299836.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.881 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299836.881 * [misc]backup-simplify: Simplify 0 into 0 1554299836.882 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.883 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1554299836.883 * [misc]backup-simplify: Simplify 0 into 0 1554299836.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.886 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1554299836.886 * [misc]backup-simplify: Simplify 0 into 0 1554299836.887 * [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 1554299836.889 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1554299836.889 * [misc]backup-simplify: Simplify 0 into 0 1554299836.889 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1554299836.889 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1554299836.890 * [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)) 1554299836.890 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1554299836.890 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.890 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.890 * [misc]taylor: Taking taylor expansion of k in n 1554299836.890 * [misc]backup-simplify: Simplify k into k 1554299836.890 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.890 * [misc]backup-simplify: Simplify 2 into 2 1554299836.890 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.890 * [misc]taylor: Taking taylor expansion of n in n 1554299836.890 * [misc]backup-simplify: Simplify 0 into 0 1554299836.890 * [misc]backup-simplify: Simplify 1 into 1 1554299836.890 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.890 * [misc]backup-simplify: Simplify PI into PI 1554299836.891 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.891 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299836.891 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.892 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299836.892 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.893 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299836.893 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299836.893 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299836.893 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.894 * [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)))) 1554299836.894 * [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))))) 1554299836.895 * [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)))))) 1554299836.895 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554299836.895 * [misc]taylor: Taking taylor expansion of k in n 1554299836.895 * [misc]backup-simplify: Simplify k into k 1554299836.895 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554299836.895 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554299836.895 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554299836.895 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554299836.895 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.896 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.896 * [misc]taylor: Taking taylor expansion of k in k 1554299836.896 * [misc]backup-simplify: Simplify 0 into 0 1554299836.896 * [misc]backup-simplify: Simplify 1 into 1 1554299836.896 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.896 * [misc]backup-simplify: Simplify 2 into 2 1554299836.896 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299836.896 * [misc]taylor: Taking taylor expansion of n in k 1554299836.896 * [misc]backup-simplify: Simplify n into n 1554299836.896 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.896 * [misc]backup-simplify: Simplify PI into PI 1554299836.896 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299836.896 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299836.896 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299836.896 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299836.897 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.897 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299836.897 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299836.897 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299836.897 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1554299836.897 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299836.897 * [misc]taylor: Taking taylor expansion of k in k 1554299836.897 * [misc]backup-simplify: Simplify 0 into 0 1554299836.897 * [misc]backup-simplify: Simplify 1 into 1 1554299836.897 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.898 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299836.898 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.898 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.898 * [misc]taylor: Taking taylor expansion of k in k 1554299836.898 * [misc]backup-simplify: Simplify 0 into 0 1554299836.898 * [misc]backup-simplify: Simplify 1 into 1 1554299836.898 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.898 * [misc]backup-simplify: Simplify 2 into 2 1554299836.898 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299836.898 * [misc]taylor: Taking taylor expansion of n in k 1554299836.898 * [misc]backup-simplify: Simplify n into n 1554299836.898 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.898 * [misc]backup-simplify: Simplify PI into PI 1554299836.898 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299836.898 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299836.899 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299836.899 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299836.899 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.899 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299836.899 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299836.899 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299836.899 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1554299836.899 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299836.899 * [misc]taylor: Taking taylor expansion of k in k 1554299836.899 * [misc]backup-simplify: Simplify 0 into 0 1554299836.900 * [misc]backup-simplify: Simplify 1 into 1 1554299836.900 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.900 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299836.900 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1554299836.900 * [misc]taylor: Taking taylor expansion of 0 in n 1554299836.900 * [misc]backup-simplify: Simplify 0 into 0 1554299836.900 * [misc]backup-simplify: Simplify 0 into 0 1554299836.901 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1554299836.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1554299836.902 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1554299836.902 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299836.902 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299836.902 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299836.903 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1554299836.903 * [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))))) 1554299836.903 * [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))))) 1554299836.904 * [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)))) 1554299836.905 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1554299836.905 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1554299836.905 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299836.905 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299836.905 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1554299836.905 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1554299836.905 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1554299836.905 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.905 * [misc]taylor: Taking taylor expansion of n in n 1554299836.905 * [misc]backup-simplify: Simplify 0 into 0 1554299836.905 * [misc]backup-simplify: Simplify 1 into 1 1554299836.905 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.905 * [misc]backup-simplify: Simplify PI into PI 1554299836.906 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.906 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1554299836.907 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.907 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1554299836.907 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1554299836.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.908 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1554299836.908 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1554299836.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.909 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1554299836.911 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.912 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.913 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.913 * [misc]backup-simplify: Simplify 0 into 0 1554299836.914 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299836.915 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1554299836.915 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1554299836.916 * [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 1554299836.917 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299836.917 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.917 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.917 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1554299836.918 * [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))) 1554299836.921 * [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)))))) 1554299836.923 * [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)))))) 1554299836.923 * [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 1554299836.923 * [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 1554299836.923 * [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 1554299836.923 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299836.923 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299836.923 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1554299836.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1554299836.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299836.923 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.923 * [misc]backup-simplify: Simplify 2 into 2 1554299836.923 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299836.923 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299836.923 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1554299836.923 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299836.923 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299836.923 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.923 * [misc]backup-simplify: Simplify 2 into 2 1554299836.923 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.924 * [misc]taylor: Taking taylor expansion of n in n 1554299836.924 * [misc]backup-simplify: Simplify 0 into 0 1554299836.924 * [misc]backup-simplify: Simplify 1 into 1 1554299836.924 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.924 * [misc]backup-simplify: Simplify PI into PI 1554299836.924 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.924 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299836.924 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.925 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299836.925 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.925 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1554299836.925 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1554299836.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.925 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1554299836.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1554299836.925 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1554299836.925 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1554299836.925 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.925 * [misc]taylor: Taking taylor expansion of n in n 1554299836.925 * [misc]backup-simplify: Simplify 0 into 0 1554299836.925 * [misc]backup-simplify: Simplify 1 into 1 1554299836.925 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.925 * [misc]backup-simplify: Simplify PI into PI 1554299836.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.926 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1554299836.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.927 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1554299836.927 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1554299836.927 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1554299836.927 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299836.927 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299836.927 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1554299836.927 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1554299836.927 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1554299836.927 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299836.927 * [misc]taylor: Taking taylor expansion of n in n 1554299836.927 * [misc]backup-simplify: Simplify 0 into 0 1554299836.927 * [misc]backup-simplify: Simplify 1 into 1 1554299836.927 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.927 * [misc]backup-simplify: Simplify PI into PI 1554299836.927 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299836.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299836.927 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1554299836.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.928 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1554299836.928 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1554299836.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.928 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1554299836.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1554299836.929 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.929 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1554299836.930 * [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)))) 1554299836.930 * [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))))) 1554299836.931 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299836.931 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1554299836.931 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299836.932 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299836.933 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299836.934 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1554299836.935 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1554299836.936 * [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))))) 1554299836.936 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1554299836.939 * [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))))) 1554299836.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.941 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1554299836.942 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.943 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1554299836.947 * [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))))))) 1554299836.950 * [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))))))) 1554299836.954 * [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))))))) 1554299836.955 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1554299836.956 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299836.957 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1554299836.957 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1554299836.959 * [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)))) 1554299836.961 * [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)))) 1554299836.962 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1554299836.963 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1554299836.969 * [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))))))))))) 1554299836.969 * [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))) 1554299836.969 * [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 1554299836.969 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of k in n 1554299836.969 * [misc]backup-simplify: Simplify k into k 1554299836.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.969 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.969 * [misc]backup-simplify: Simplify 2 into 2 1554299836.969 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.969 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.969 * [misc]backup-simplify: Simplify PI into PI 1554299836.969 * [misc]taylor: Taking taylor expansion of n in n 1554299836.969 * [misc]backup-simplify: Simplify 0 into 0 1554299836.969 * [misc]backup-simplify: Simplify 1 into 1 1554299836.970 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.970 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.970 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.970 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.970 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299836.970 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299836.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.971 * [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))) 1554299836.971 * [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)))) 1554299836.972 * [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))))) 1554299836.972 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554299836.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.972 * [misc]taylor: Taking taylor expansion of k in n 1554299836.972 * [misc]backup-simplify: Simplify k into k 1554299836.972 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.972 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554299836.972 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299836.972 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554299836.972 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.972 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.972 * [misc]taylor: Taking taylor expansion of k in k 1554299836.972 * [misc]backup-simplify: Simplify 0 into 0 1554299836.972 * [misc]backup-simplify: Simplify 1 into 1 1554299836.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.973 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299836.973 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299836.973 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.973 * [misc]backup-simplify: Simplify 2 into 2 1554299836.973 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299836.973 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.973 * [misc]backup-simplify: Simplify PI into PI 1554299836.973 * [misc]taylor: Taking taylor expansion of n in k 1554299836.973 * [misc]backup-simplify: Simplify n into n 1554299836.973 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299836.973 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299836.973 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299836.973 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299836.973 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299836.973 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299836.973 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299836.973 * [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)))) 1554299836.973 * [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))))) 1554299836.973 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299836.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.973 * [misc]taylor: Taking taylor expansion of k in k 1554299836.973 * [misc]backup-simplify: Simplify 0 into 0 1554299836.974 * [misc]backup-simplify: Simplify 1 into 1 1554299836.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.974 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.974 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299836.974 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.974 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299836.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of k in k 1554299836.974 * [misc]backup-simplify: Simplify 0 into 0 1554299836.974 * [misc]backup-simplify: Simplify 1 into 1 1554299836.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.974 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of 2 in k 1554299836.974 * [misc]backup-simplify: Simplify 2 into 2 1554299836.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299836.974 * [misc]taylor: Taking taylor expansion of PI in k 1554299836.974 * [misc]backup-simplify: Simplify PI into PI 1554299836.974 * [misc]taylor: Taking taylor expansion of n in k 1554299836.974 * [misc]backup-simplify: Simplify n into n 1554299836.975 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299836.975 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299836.975 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299836.975 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299836.975 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299836.975 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299836.975 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299836.975 * [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)))) 1554299836.975 * [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))))) 1554299836.975 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299836.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299836.975 * [misc]taylor: Taking taylor expansion of k in k 1554299836.975 * [misc]backup-simplify: Simplify 0 into 0 1554299836.975 * [misc]backup-simplify: Simplify 1 into 1 1554299836.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299836.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299836.976 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299836.976 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1554299836.976 * [misc]taylor: Taking taylor expansion of 0 in n 1554299836.976 * [misc]backup-simplify: Simplify 0 into 0 1554299836.976 * [misc]backup-simplify: Simplify 0 into 0 1554299836.976 * [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 1554299836.976 * [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))))))) 1554299836.976 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1554299836.976 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299836.977 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299836.977 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of k in n 1554299836.977 * [misc]backup-simplify: Simplify k into k 1554299836.977 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.977 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.977 * [misc]backup-simplify: Simplify 2 into 2 1554299836.977 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.977 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.977 * [misc]backup-simplify: Simplify PI into PI 1554299836.977 * [misc]taylor: Taking taylor expansion of n in n 1554299836.977 * [misc]backup-simplify: Simplify 0 into 0 1554299836.977 * [misc]backup-simplify: Simplify 1 into 1 1554299836.977 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.977 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.978 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.978 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.978 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299836.978 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299836.978 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.979 * [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))) 1554299836.979 * [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)))) 1554299836.979 * [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))))) 1554299836.980 * [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))))) 1554299836.980 * [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))))))) 1554299836.981 * [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))))))) 1554299836.981 * [misc]backup-simplify: Simplify 0 into 0 1554299836.981 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554299836.981 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299836.982 * [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 1554299836.982 * [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))))))) 1554299836.982 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299836.982 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299836.982 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.982 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.982 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of k in n 1554299836.982 * [misc]backup-simplify: Simplify k into k 1554299836.982 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.982 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.982 * [misc]backup-simplify: Simplify 2 into 2 1554299836.982 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.982 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.982 * [misc]backup-simplify: Simplify PI into PI 1554299836.982 * [misc]taylor: Taking taylor expansion of n in n 1554299836.983 * [misc]backup-simplify: Simplify 0 into 0 1554299836.983 * [misc]backup-simplify: Simplify 1 into 1 1554299836.983 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.983 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.983 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.983 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.983 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299836.983 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299836.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.984 * [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))) 1554299836.984 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1554299836.985 * [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))))) 1554299836.985 * [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))))) 1554299836.986 * [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))))))) 1554299836.986 * [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))))))) 1554299836.987 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299836.987 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299836.989 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299836.989 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299836.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299836.989 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299836.990 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.990 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554299836.991 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299836.992 * [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 1554299836.993 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1554299836.993 * [misc]backup-simplify: Simplify (- 0) into 0 1554299836.993 * [misc]backup-simplify: Simplify 0 into 0 1554299836.993 * [misc]backup-simplify: Simplify 0 into 0 1554299836.993 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299836.994 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299836.995 * [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 1554299836.996 * [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))))))) 1554299836.996 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299836.996 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299836.996 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299836.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299836.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of k in n 1554299836.996 * [misc]backup-simplify: Simplify k into k 1554299836.996 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299836.996 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of 2 in n 1554299836.996 * [misc]backup-simplify: Simplify 2 into 2 1554299836.996 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299836.996 * [misc]taylor: Taking taylor expansion of PI in n 1554299836.996 * [misc]backup-simplify: Simplify PI into PI 1554299836.996 * [misc]taylor: Taking taylor expansion of n in n 1554299836.996 * [misc]backup-simplify: Simplify 0 into 0 1554299836.996 * [misc]backup-simplify: Simplify 1 into 1 1554299836.997 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299836.997 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299836.997 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299836.997 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299836.998 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299836.998 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299836.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299836.999 * [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))) 1554299836.999 * [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)))) 1554299837.000 * [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))))) 1554299837.001 * [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))))) 1554299837.001 * [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))))))) 1554299837.002 * [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))))))) 1554299837.004 * [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)))))))))))) 1554299837.005 * [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))) 1554299837.005 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1554299837.005 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.005 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299837.005 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299837.005 * [misc]taylor: Taking taylor expansion of -1 in n 1554299837.005 * [misc]backup-simplify: Simplify -1 into -1 1554299837.005 * [misc]taylor: Taking taylor expansion of k in n 1554299837.005 * [misc]backup-simplify: Simplify k into k 1554299837.005 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299837.005 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299837.006 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299837.006 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299837.006 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of k in n 1554299837.006 * [misc]backup-simplify: Simplify k into k 1554299837.006 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.006 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.006 * [misc]backup-simplify: Simplify -2 into -2 1554299837.006 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.006 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.006 * [misc]backup-simplify: Simplify PI into PI 1554299837.006 * [misc]taylor: Taking taylor expansion of n in n 1554299837.006 * [misc]backup-simplify: Simplify 0 into 0 1554299837.006 * [misc]backup-simplify: Simplify 1 into 1 1554299837.007 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.007 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.008 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.008 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.008 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.009 * [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))) 1554299837.009 * [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)))) 1554299837.010 * [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))))) 1554299837.010 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554299837.010 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299837.010 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299837.010 * [misc]taylor: Taking taylor expansion of -1 in k 1554299837.010 * [misc]backup-simplify: Simplify -1 into -1 1554299837.010 * [misc]taylor: Taking taylor expansion of k in k 1554299837.010 * [misc]backup-simplify: Simplify 0 into 0 1554299837.010 * [misc]backup-simplify: Simplify 1 into 1 1554299837.011 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299837.011 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.011 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299837.011 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299837.011 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299837.011 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299837.011 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299837.011 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299837.011 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.011 * [misc]taylor: Taking taylor expansion of k in k 1554299837.011 * [misc]backup-simplify: Simplify 0 into 0 1554299837.011 * [misc]backup-simplify: Simplify 1 into 1 1554299837.012 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.012 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299837.012 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299837.012 * [misc]taylor: Taking taylor expansion of -2 in k 1554299837.012 * [misc]backup-simplify: Simplify -2 into -2 1554299837.012 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299837.012 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.012 * [misc]backup-simplify: Simplify PI into PI 1554299837.012 * [misc]taylor: Taking taylor expansion of n in k 1554299837.012 * [misc]backup-simplify: Simplify n into n 1554299837.012 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299837.012 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299837.012 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299837.012 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299837.012 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299837.013 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299837.013 * [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))) 1554299837.013 * [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)))) 1554299837.013 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554299837.013 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299837.013 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299837.013 * [misc]taylor: Taking taylor expansion of -1 in k 1554299837.013 * [misc]backup-simplify: Simplify -1 into -1 1554299837.013 * [misc]taylor: Taking taylor expansion of k in k 1554299837.013 * [misc]backup-simplify: Simplify 0 into 0 1554299837.013 * [misc]backup-simplify: Simplify 1 into 1 1554299837.013 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299837.014 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.014 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299837.014 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299837.014 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299837.014 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299837.014 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299837.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299837.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.014 * [misc]taylor: Taking taylor expansion of k in k 1554299837.014 * [misc]backup-simplify: Simplify 0 into 0 1554299837.014 * [misc]backup-simplify: Simplify 1 into 1 1554299837.014 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.015 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299837.015 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299837.015 * [misc]taylor: Taking taylor expansion of -2 in k 1554299837.015 * [misc]backup-simplify: Simplify -2 into -2 1554299837.015 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299837.015 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.015 * [misc]backup-simplify: Simplify PI into PI 1554299837.015 * [misc]taylor: Taking taylor expansion of n in k 1554299837.015 * [misc]backup-simplify: Simplify n into n 1554299837.015 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299837.015 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299837.015 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299837.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299837.015 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299837.015 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299837.016 * [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))) 1554299837.016 * [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)))) 1554299837.016 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554299837.016 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.016 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.016 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.016 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.016 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.016 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.016 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.016 * [misc]backup-simplify: Simplify -2 into -2 1554299837.016 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.016 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.016 * [misc]backup-simplify: Simplify PI into PI 1554299837.016 * [misc]taylor: Taking taylor expansion of n in n 1554299837.016 * [misc]backup-simplify: Simplify 0 into 0 1554299837.016 * [misc]backup-simplify: Simplify 1 into 1 1554299837.017 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.017 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.017 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.017 * [misc]taylor: Taking taylor expansion of k in n 1554299837.018 * [misc]backup-simplify: Simplify k into k 1554299837.018 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.018 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.018 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.019 * [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))) 1554299837.020 * [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)))) 1554299837.020 * [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))))) 1554299837.021 * [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))))) 1554299837.021 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554299837.022 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299837.023 * [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)))))) 1554299837.023 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.023 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.023 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.023 * [misc]backup-simplify: Simplify -2 into -2 1554299837.023 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.023 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.023 * [misc]backup-simplify: Simplify PI into PI 1554299837.023 * [misc]taylor: Taking taylor expansion of n in n 1554299837.023 * [misc]backup-simplify: Simplify 0 into 0 1554299837.024 * [misc]backup-simplify: Simplify 1 into 1 1554299837.024 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.024 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.025 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.025 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.025 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.025 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.025 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.025 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.025 * [misc]taylor: Taking taylor expansion of k in n 1554299837.025 * [misc]backup-simplify: Simplify k into k 1554299837.025 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.025 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.025 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.026 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.026 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.026 * [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))) 1554299837.027 * [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)))) 1554299837.028 * [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))))) 1554299837.028 * [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))))) 1554299837.029 * [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))))))) 1554299837.030 * [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))))))) 1554299837.030 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.030 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299837.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299837.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.032 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299837.032 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299837.035 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554299837.036 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1554299837.037 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299837.039 * [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 1554299837.039 * [misc]backup-simplify: Simplify 0 into 0 1554299837.039 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299837.041 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299837.042 * [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)))))) 1554299837.042 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.042 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.042 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.042 * [misc]backup-simplify: Simplify -2 into -2 1554299837.042 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.042 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.042 * [misc]backup-simplify: Simplify PI into PI 1554299837.042 * [misc]taylor: Taking taylor expansion of n in n 1554299837.042 * [misc]backup-simplify: Simplify 0 into 0 1554299837.042 * [misc]backup-simplify: Simplify 1 into 1 1554299837.043 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.043 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.043 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.043 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.043 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.044 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.044 * [misc]taylor: Taking taylor expansion of k in n 1554299837.044 * [misc]backup-simplify: Simplify k into k 1554299837.044 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.044 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.045 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.045 * [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))) 1554299837.046 * [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)))) 1554299837.046 * [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))))) 1554299837.047 * [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))))) 1554299837.048 * [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))))))) 1554299837.048 * [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))))))) 1554299837.050 * [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)))))))))))) 1554299837.050 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1554299837.050 * [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)))) 1554299837.050 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1554299837.050 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1554299837.050 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554299837.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.050 * [misc]taylor: Taking taylor expansion of k in n 1554299837.050 * [misc]backup-simplify: Simplify k into k 1554299837.050 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.050 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554299837.051 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299837.051 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554299837.051 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.051 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.051 * [misc]taylor: Taking taylor expansion of k in n 1554299837.051 * [misc]backup-simplify: Simplify k into k 1554299837.051 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.051 * [misc]backup-simplify: Simplify 2 into 2 1554299837.051 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.051 * [misc]taylor: Taking taylor expansion of n in n 1554299837.051 * [misc]backup-simplify: Simplify 0 into 0 1554299837.051 * [misc]backup-simplify: Simplify 1 into 1 1554299837.051 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.051 * [misc]backup-simplify: Simplify PI into PI 1554299837.051 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.051 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299837.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.052 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299837.052 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.052 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299837.052 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299837.052 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299837.053 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.053 * [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)))) 1554299837.054 * [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))))) 1554299837.054 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of k in k 1554299837.054 * [misc]backup-simplify: Simplify 0 into 0 1554299837.054 * [misc]backup-simplify: Simplify 1 into 1 1554299837.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.054 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.054 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299837.054 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.054 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.054 * [misc]taylor: Taking taylor expansion of k in k 1554299837.054 * [misc]backup-simplify: Simplify 0 into 0 1554299837.054 * [misc]backup-simplify: Simplify 1 into 1 1554299837.054 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of 2 in k 1554299837.054 * [misc]backup-simplify: Simplify 2 into 2 1554299837.054 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299837.054 * [misc]taylor: Taking taylor expansion of n in k 1554299837.055 * [misc]backup-simplify: Simplify n into n 1554299837.055 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.055 * [misc]backup-simplify: Simplify PI into PI 1554299837.055 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299837.055 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299837.055 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299837.055 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299837.055 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.055 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299837.055 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299837.055 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299837.055 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1554299837.055 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299837.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.055 * [misc]taylor: Taking taylor expansion of k in k 1554299837.055 * [misc]backup-simplify: Simplify 0 into 0 1554299837.055 * [misc]backup-simplify: Simplify 1 into 1 1554299837.055 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.055 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.056 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299837.056 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.056 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.056 * [misc]taylor: Taking taylor expansion of k in k 1554299837.056 * [misc]backup-simplify: Simplify 0 into 0 1554299837.056 * [misc]backup-simplify: Simplify 1 into 1 1554299837.056 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of 2 in k 1554299837.056 * [misc]backup-simplify: Simplify 2 into 2 1554299837.056 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1554299837.056 * [misc]taylor: Taking taylor expansion of n in k 1554299837.056 * [misc]backup-simplify: Simplify n into n 1554299837.056 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.056 * [misc]backup-simplify: Simplify PI into PI 1554299837.056 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1554299837.056 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1554299837.056 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1554299837.056 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299837.056 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.057 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299837.057 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1554299837.057 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1554299837.057 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1554299837.057 * [misc]taylor: Taking taylor expansion of 0 in n 1554299837.057 * [misc]backup-simplify: Simplify 0 into 0 1554299837.057 * [misc]backup-simplify: Simplify 0 into 0 1554299837.057 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1554299837.057 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1554299837.058 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1554299837.058 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299837.058 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299837.058 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299837.058 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1554299837.059 * [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))))) 1554299837.059 * [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))))) 1554299837.059 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1554299837.059 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1554299837.059 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.059 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.059 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1554299837.059 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299837.059 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.059 * [misc]backup-simplify: Simplify 2 into 2 1554299837.059 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299837.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299837.059 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554299837.059 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.059 * [misc]taylor: Taking taylor expansion of n in n 1554299837.059 * [misc]backup-simplify: Simplify 0 into 0 1554299837.059 * [misc]backup-simplify: Simplify 1 into 1 1554299837.059 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.059 * [misc]backup-simplify: Simplify PI into PI 1554299837.059 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.060 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.060 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.060 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299837.060 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1554299837.060 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554299837.060 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.060 * [misc]backup-simplify: Simplify 0 into 0 1554299837.061 * [misc]backup-simplify: Simplify 0 into 0 1554299837.062 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1554299837.062 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1554299837.063 * [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 1554299837.063 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299837.063 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.063 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1554299837.065 * [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))) 1554299837.065 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554299837.065 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299837.066 * [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))))))) 1554299837.066 * [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 1554299837.066 * [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 1554299837.066 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.066 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.066 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.066 * [misc]backup-simplify: Simplify 2 into 2 1554299837.066 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299837.066 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299837.066 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.066 * [misc]backup-simplify: Simplify 2 into 2 1554299837.066 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.066 * [misc]taylor: Taking taylor expansion of n in n 1554299837.066 * [misc]backup-simplify: Simplify 0 into 0 1554299837.066 * [misc]backup-simplify: Simplify 1 into 1 1554299837.066 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.066 * [misc]backup-simplify: Simplify PI into PI 1554299837.067 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.067 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299837.067 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.068 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299837.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.068 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554299837.068 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.068 * [misc]taylor: Taking taylor expansion of n in n 1554299837.068 * [misc]backup-simplify: Simplify 0 into 0 1554299837.068 * [misc]backup-simplify: Simplify 1 into 1 1554299837.068 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.068 * [misc]backup-simplify: Simplify PI into PI 1554299837.068 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.068 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.069 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.069 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299837.069 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1554299837.069 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1554299837.069 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.069 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.069 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1554299837.069 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299837.069 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.069 * [misc]backup-simplify: Simplify 2 into 2 1554299837.069 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299837.070 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299837.070 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554299837.070 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.070 * [misc]taylor: Taking taylor expansion of n in n 1554299837.070 * [misc]backup-simplify: Simplify 0 into 0 1554299837.070 * [misc]backup-simplify: Simplify 1 into 1 1554299837.070 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.070 * [misc]backup-simplify: Simplify PI into PI 1554299837.070 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.071 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.071 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299837.072 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.073 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1554299837.073 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1554299837.073 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554299837.074 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1554299837.074 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554299837.074 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.074 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.074 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.074 * [misc]backup-simplify: Simplify 0 into 0 1554299837.075 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.077 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.078 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.079 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.079 * [misc]backup-simplify: Simplify 0 into 0 1554299837.081 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299837.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1554299837.084 * [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 1554299837.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299837.084 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1554299837.087 * [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))) 1554299837.087 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299837.088 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299837.090 * [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))))))))) 1554299837.090 * [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 1554299837.090 * [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 1554299837.090 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1554299837.090 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.090 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.090 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1554299837.090 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1554299837.090 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299837.090 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.090 * [misc]backup-simplify: Simplify 2 into 2 1554299837.090 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299837.091 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299837.091 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299837.091 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299837.091 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.091 * [misc]backup-simplify: Simplify 2 into 2 1554299837.091 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.091 * [misc]taylor: Taking taylor expansion of n in n 1554299837.091 * [misc]backup-simplify: Simplify 0 into 0 1554299837.091 * [misc]backup-simplify: Simplify 1 into 1 1554299837.091 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.091 * [misc]backup-simplify: Simplify PI into PI 1554299837.091 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.092 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299837.092 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.093 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299837.094 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.094 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554299837.094 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.094 * [misc]taylor: Taking taylor expansion of n in n 1554299837.094 * [misc]backup-simplify: Simplify 0 into 0 1554299837.094 * [misc]backup-simplify: Simplify 1 into 1 1554299837.094 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.094 * [misc]backup-simplify: Simplify PI into PI 1554299837.094 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.095 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.095 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.095 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299837.095 * [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 1554299837.095 * [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 1554299837.095 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1554299837.095 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.095 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.096 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.096 * [misc]backup-simplify: Simplify 2 into 2 1554299837.096 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299837.096 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299837.096 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.096 * [misc]backup-simplify: Simplify 2 into 2 1554299837.096 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.096 * [misc]taylor: Taking taylor expansion of n in n 1554299837.096 * [misc]backup-simplify: Simplify 0 into 0 1554299837.096 * [misc]backup-simplify: Simplify 1 into 1 1554299837.096 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.096 * [misc]backup-simplify: Simplify PI into PI 1554299837.097 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.097 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299837.097 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.098 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1554299837.099 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.099 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.099 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554299837.099 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.099 * [misc]taylor: Taking taylor expansion of n in n 1554299837.099 * [misc]backup-simplify: Simplify 0 into 0 1554299837.099 * [misc]backup-simplify: Simplify 1 into 1 1554299837.099 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.099 * [misc]backup-simplify: Simplify PI into PI 1554299837.100 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.100 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.101 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.101 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299837.101 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1554299837.101 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1554299837.101 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.101 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.101 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1554299837.101 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1554299837.101 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.101 * [misc]backup-simplify: Simplify 2 into 2 1554299837.101 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1554299837.102 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1554299837.102 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1554299837.102 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1554299837.102 * [misc]taylor: Taking taylor expansion of n in n 1554299837.102 * [misc]backup-simplify: Simplify 0 into 0 1554299837.102 * [misc]backup-simplify: Simplify 1 into 1 1554299837.102 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.102 * [misc]backup-simplify: Simplify PI into PI 1554299837.102 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299837.103 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299837.103 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.104 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299837.104 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.105 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1554299837.106 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1554299837.106 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554299837.107 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.108 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.109 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1554299837.109 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1554299837.110 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1554299837.110 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554299837.110 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.111 * [misc]backup-simplify: Simplify 0 into 0 1554299837.113 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299837.114 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1554299837.116 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299837.117 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1554299837.118 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1554299837.119 * [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)))))))) 1554299837.121 * [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)))))))) 1554299837.122 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.124 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.126 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1554299837.129 * [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)))))))))) 1554299837.132 * [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))))))) 1554299837.135 * [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))))))) 1554299837.136 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299837.138 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1554299837.139 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1554299837.141 * [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)))) 1554299837.145 * [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)))) 1554299837.147 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1554299837.148 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1554299837.155 * [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))))))))))))) 1554299837.155 * [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))))) 1554299837.155 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1554299837.155 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299837.155 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554299837.155 * [misc]taylor: Taking taylor expansion of k in n 1554299837.155 * [misc]backup-simplify: Simplify k into k 1554299837.155 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554299837.155 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554299837.155 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299837.155 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299837.155 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.156 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.156 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of k in n 1554299837.156 * [misc]backup-simplify: Simplify k into k 1554299837.156 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.156 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.156 * [misc]backup-simplify: Simplify 2 into 2 1554299837.156 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.156 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.156 * [misc]backup-simplify: Simplify PI into PI 1554299837.156 * [misc]taylor: Taking taylor expansion of n in n 1554299837.156 * [misc]backup-simplify: Simplify 0 into 0 1554299837.156 * [misc]backup-simplify: Simplify 1 into 1 1554299837.157 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.157 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299837.157 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.157 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.157 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299837.158 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299837.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299837.159 * [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))) 1554299837.159 * [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)))) 1554299837.160 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299837.160 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299837.160 * [misc]taylor: Taking taylor expansion of k in k 1554299837.160 * [misc]backup-simplify: Simplify 0 into 0 1554299837.160 * [misc]backup-simplify: Simplify 1 into 1 1554299837.160 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.160 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299837.160 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299837.160 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299837.160 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299837.160 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299837.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299837.161 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.161 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.161 * [misc]taylor: Taking taylor expansion of k in k 1554299837.161 * [misc]backup-simplify: Simplify 0 into 0 1554299837.161 * [misc]backup-simplify: Simplify 1 into 1 1554299837.161 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.161 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299837.161 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299837.161 * [misc]taylor: Taking taylor expansion of 2 in k 1554299837.161 * [misc]backup-simplify: Simplify 2 into 2 1554299837.161 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299837.161 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.161 * [misc]backup-simplify: Simplify PI into PI 1554299837.161 * [misc]taylor: Taking taylor expansion of n in k 1554299837.161 * [misc]backup-simplify: Simplify n into n 1554299837.161 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299837.161 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299837.161 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299837.162 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299837.162 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299837.162 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299837.162 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299837.162 * [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)))) 1554299837.162 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299837.162 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299837.162 * [misc]taylor: Taking taylor expansion of k in k 1554299837.162 * [misc]backup-simplify: Simplify 0 into 0 1554299837.162 * [misc]backup-simplify: Simplify 1 into 1 1554299837.162 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.163 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299837.163 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299837.163 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1554299837.163 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1554299837.163 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299837.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299837.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.163 * [misc]taylor: Taking taylor expansion of k in k 1554299837.163 * [misc]backup-simplify: Simplify 0 into 0 1554299837.163 * [misc]backup-simplify: Simplify 1 into 1 1554299837.164 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.164 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1554299837.164 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1554299837.164 * [misc]taylor: Taking taylor expansion of 2 in k 1554299837.164 * [misc]backup-simplify: Simplify 2 into 2 1554299837.164 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299837.164 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.164 * [misc]backup-simplify: Simplify PI into PI 1554299837.164 * [misc]taylor: Taking taylor expansion of n in k 1554299837.164 * [misc]backup-simplify: Simplify n into n 1554299837.164 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299837.164 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1554299837.164 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1554299837.164 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299837.164 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299837.165 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299837.165 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1554299837.165 * [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)))) 1554299837.165 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1554299837.165 * [misc]taylor: Taking taylor expansion of 0 in n 1554299837.165 * [misc]backup-simplify: Simplify 0 into 0 1554299837.165 * [misc]backup-simplify: Simplify 0 into 0 1554299837.166 * [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)))))) 1554299837.166 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.166 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.166 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.166 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.166 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.166 * [misc]taylor: Taking taylor expansion of k in n 1554299837.166 * [misc]backup-simplify: Simplify k into k 1554299837.166 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.166 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299837.167 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299837.167 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.167 * [misc]backup-simplify: Simplify 2 into 2 1554299837.167 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.167 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.167 * [misc]backup-simplify: Simplify PI into PI 1554299837.167 * [misc]taylor: Taking taylor expansion of n in n 1554299837.167 * [misc]backup-simplify: Simplify 0 into 0 1554299837.167 * [misc]backup-simplify: Simplify 1 into 1 1554299837.167 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.168 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299837.168 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.168 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.168 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299837.168 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299837.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299837.170 * [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))) 1554299837.170 * [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)))) 1554299837.171 * [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))))) 1554299837.172 * [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)))))) 1554299837.172 * [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)))))) 1554299837.172 * [misc]backup-simplify: Simplify 0 into 0 1554299837.174 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299837.174 * [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)))))) 1554299837.174 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.174 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.174 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.175 * [misc]taylor: Taking taylor expansion of k in n 1554299837.175 * [misc]backup-simplify: Simplify k into k 1554299837.175 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.175 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299837.175 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299837.175 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.175 * [misc]backup-simplify: Simplify 2 into 2 1554299837.175 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.175 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.175 * [misc]backup-simplify: Simplify PI into PI 1554299837.175 * [misc]taylor: Taking taylor expansion of n in n 1554299837.175 * [misc]backup-simplify: Simplify 0 into 0 1554299837.175 * [misc]backup-simplify: Simplify 1 into 1 1554299837.175 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.176 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299837.176 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.176 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.176 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299837.176 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299837.177 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299837.178 * [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))) 1554299837.178 * [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)))) 1554299837.179 * [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))))) 1554299837.180 * [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)))))) 1554299837.181 * [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)))))) 1554299837.182 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299837.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1554299837.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1554299837.185 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299837.185 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299837.186 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299837.187 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1554299837.189 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299837.189 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1554299837.190 * [misc]backup-simplify: Simplify (- 0) into 0 1554299837.190 * [misc]backup-simplify: Simplify 0 into 0 1554299837.190 * [misc]backup-simplify: Simplify 0 into 0 1554299837.191 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299837.192 * [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)))))) 1554299837.192 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.192 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.192 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.192 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.192 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of k in n 1554299837.192 * [misc]backup-simplify: Simplify k into k 1554299837.192 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.192 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of 2 in n 1554299837.192 * [misc]backup-simplify: Simplify 2 into 2 1554299837.192 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.192 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.192 * [misc]backup-simplify: Simplify PI into PI 1554299837.192 * [misc]taylor: Taking taylor expansion of n in n 1554299837.192 * [misc]backup-simplify: Simplify 0 into 0 1554299837.192 * [misc]backup-simplify: Simplify 1 into 1 1554299837.193 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.193 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1554299837.194 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1554299837.194 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.194 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299837.194 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299837.195 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1554299837.196 * [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))) 1554299837.196 * [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)))) 1554299837.197 * [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))))) 1554299837.198 * [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)))))) 1554299837.198 * [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)))))) 1554299837.201 * [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)))))))) 1554299837.201 * [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))) 1554299837.202 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1554299837.202 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of k in n 1554299837.202 * [misc]backup-simplify: Simplify k into k 1554299837.202 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.202 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.202 * [misc]backup-simplify: Simplify -2 into -2 1554299837.202 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.202 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.202 * [misc]backup-simplify: Simplify PI into PI 1554299837.202 * [misc]taylor: Taking taylor expansion of n in n 1554299837.202 * [misc]backup-simplify: Simplify 0 into 0 1554299837.202 * [misc]backup-simplify: Simplify 1 into 1 1554299837.203 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.203 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.204 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.204 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.204 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.204 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.205 * [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))) 1554299837.206 * [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)))) 1554299837.206 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299837.206 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299837.206 * [misc]taylor: Taking taylor expansion of -1 in n 1554299837.206 * [misc]backup-simplify: Simplify -1 into -1 1554299837.206 * [misc]taylor: Taking taylor expansion of k in n 1554299837.206 * [misc]backup-simplify: Simplify k into k 1554299837.206 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299837.206 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299837.206 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299837.206 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299837.207 * [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))) 1554299837.207 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.207 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.207 * [misc]taylor: Taking taylor expansion of k in k 1554299837.207 * [misc]backup-simplify: Simplify 0 into 0 1554299837.207 * [misc]backup-simplify: Simplify 1 into 1 1554299837.207 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.208 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.208 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299837.208 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299837.208 * [misc]taylor: Taking taylor expansion of -2 in k 1554299837.208 * [misc]backup-simplify: Simplify -2 into -2 1554299837.208 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299837.208 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.208 * [misc]backup-simplify: Simplify PI into PI 1554299837.208 * [misc]taylor: Taking taylor expansion of n in k 1554299837.208 * [misc]backup-simplify: Simplify n into n 1554299837.208 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299837.208 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299837.208 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299837.208 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299837.208 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299837.208 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299837.209 * [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))) 1554299837.209 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299837.209 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299837.209 * [misc]taylor: Taking taylor expansion of -1 in k 1554299837.209 * [misc]backup-simplify: Simplify -1 into -1 1554299837.209 * [misc]taylor: Taking taylor expansion of k in k 1554299837.209 * [misc]backup-simplify: Simplify 0 into 0 1554299837.209 * [misc]backup-simplify: Simplify 1 into 1 1554299837.209 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299837.209 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.210 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299837.210 * [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)))) 1554299837.210 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.210 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299837.210 * [misc]taylor: Taking taylor expansion of k in k 1554299837.210 * [misc]backup-simplify: Simplify 0 into 0 1554299837.210 * [misc]backup-simplify: Simplify 1 into 1 1554299837.211 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299837.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299837.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.211 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1554299837.211 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1554299837.211 * [misc]taylor: Taking taylor expansion of -2 in k 1554299837.211 * [misc]backup-simplify: Simplify -2 into -2 1554299837.211 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1554299837.211 * [misc]taylor: Taking taylor expansion of PI in k 1554299837.211 * [misc]backup-simplify: Simplify PI into PI 1554299837.211 * [misc]taylor: Taking taylor expansion of n in k 1554299837.211 * [misc]backup-simplify: Simplify n into n 1554299837.211 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1554299837.211 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1554299837.211 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1554299837.211 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299837.211 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299837.212 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1554299837.212 * [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))) 1554299837.212 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299837.212 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299837.212 * [misc]taylor: Taking taylor expansion of -1 in k 1554299837.212 * [misc]backup-simplify: Simplify -1 into -1 1554299837.212 * [misc]taylor: Taking taylor expansion of k in k 1554299837.212 * [misc]backup-simplify: Simplify 0 into 0 1554299837.212 * [misc]backup-simplify: Simplify 1 into 1 1554299837.212 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299837.212 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299837.213 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299837.213 * [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)))) 1554299837.213 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554299837.213 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.213 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.213 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.213 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.213 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.213 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.214 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.214 * [misc]backup-simplify: Simplify -2 into -2 1554299837.214 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.214 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.214 * [misc]backup-simplify: Simplify PI into PI 1554299837.214 * [misc]taylor: Taking taylor expansion of n in n 1554299837.214 * [misc]backup-simplify: Simplify 0 into 0 1554299837.214 * [misc]backup-simplify: Simplify 1 into 1 1554299837.214 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.214 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.215 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.215 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.215 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.215 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.215 * [misc]taylor: Taking taylor expansion of k in n 1554299837.215 * [misc]backup-simplify: Simplify k into k 1554299837.215 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.216 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.216 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.216 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.217 * [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))) 1554299837.218 * [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)))) 1554299837.218 * [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))))) 1554299837.219 * [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))))) 1554299837.219 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554299837.220 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299837.221 * [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))))) 1554299837.221 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.221 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.221 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.221 * [misc]backup-simplify: Simplify -2 into -2 1554299837.221 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.221 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.221 * [misc]backup-simplify: Simplify PI into PI 1554299837.221 * [misc]taylor: Taking taylor expansion of n in n 1554299837.221 * [misc]backup-simplify: Simplify 0 into 0 1554299837.221 * [misc]backup-simplify: Simplify 1 into 1 1554299837.222 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.222 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.222 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.222 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.223 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.223 * [misc]taylor: Taking taylor expansion of k in n 1554299837.223 * [misc]backup-simplify: Simplify k into k 1554299837.223 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.223 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.224 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.224 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.224 * [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))) 1554299837.225 * [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)))) 1554299837.227 * [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))))) 1554299837.227 * [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)))))) 1554299837.228 * [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)))))) 1554299837.229 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.229 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299837.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299837.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299837.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299837.231 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1554299837.234 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1554299837.234 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1554299837.236 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299837.237 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1554299837.237 * [misc]backup-simplify: Simplify 0 into 0 1554299837.237 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299837.238 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299837.239 * [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))))) 1554299837.239 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1554299837.239 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1554299837.240 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1554299837.240 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1554299837.240 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299837.240 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299837.240 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1554299837.240 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1554299837.240 * [misc]taylor: Taking taylor expansion of -2 in n 1554299837.240 * [misc]backup-simplify: Simplify -2 into -2 1554299837.240 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1554299837.240 * [misc]taylor: Taking taylor expansion of PI in n 1554299837.240 * [misc]backup-simplify: Simplify PI into PI 1554299837.240 * [misc]taylor: Taking taylor expansion of n in n 1554299837.240 * [misc]backup-simplify: Simplify 0 into 0 1554299837.240 * [misc]backup-simplify: Simplify 1 into 1 1554299837.240 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299837.240 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1554299837.241 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1554299837.241 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299837.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299837.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299837.241 * [misc]taylor: Taking taylor expansion of k in n 1554299837.241 * [misc]backup-simplify: Simplify k into k 1554299837.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299837.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299837.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299837.242 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1554299837.242 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299837.242 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299837.243 * [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))) 1554299837.243 * [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)))) 1554299837.244 * [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))))) 1554299837.245 * [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)))))) 1554299837.245 * [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)))))) 1554299837.248 * [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))))))))))) 1554299837.248 * * * [misc]progress: simplifying candidates 1554299837.248 * * * * [misc]progress: [ 1 / 124 ] simplifiying candidate # 1554299837.249 * [enter]simplify: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) 1554299837.249 * * [misc]simplify: iters left: 6 (11 enodes) 1554299837.254 * * [misc]simplify: iters left: 5 (43 enodes) 1554299837.268 * * [misc]simplify: iters left: 4 (79 enodes) 1554299837.295 * * [misc]simplify: iters left: 3 (174 enodes) 1554299837.345 * * [misc]simplify: iters left: 2 (469 enodes) 1554299837.603 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.604 * * [misc]simplify: Extracting #1: cost 84 inf + 0 1554299837.605 * * [misc]simplify: Extracting #2: cost 306 inf + 0 1554299837.608 * * [misc]simplify: Extracting #3: cost 323 inf + 700 1554299837.613 * * [misc]simplify: Extracting #4: cost 264 inf + 10482 1554299837.632 * * [misc]simplify: Extracting #5: cost 52 inf + 75582 1554299837.651 * * [misc]simplify: Extracting #6: cost 0 inf + 94795 1554299837.684 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) 1554299837.684 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))) 1554299837.684 * * * * [misc]progress: [ 2 / 124 ] simplifiying candidate # 1554299837.684 * * * * [misc]progress: [ 3 / 124 ] simplifiying candidate # 1554299837.685 * [enter]simplify: Simplifying (* (* n 2) PI) 1554299837.685 * * [misc]simplify: iters left: 4 (5 enodes) 1554299837.688 * * [misc]simplify: iters left: 3 (19 enodes) 1554299837.694 * * [misc]simplify: iters left: 2 (27 enodes) 1554299837.702 * * [misc]simplify: iters left: 1 (32 enodes) 1554299837.709 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.709 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299837.709 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299837.710 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299837.710 * [exit]simplify: Simplified to (* (* n 2) PI) 1554299837.710 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2))))))) 1554299837.710 * * * * [misc]progress: [ 4 / 124 ] simplifiying candidate # 1554299837.711 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554299837.711 * * [misc]simplify: iters left: 5 (8 enodes) 1554299837.715 * * [misc]simplify: iters left: 4 (28 enodes) 1554299837.723 * * [misc]simplify: iters left: 3 (36 enodes) 1554299837.734 * * [misc]simplify: iters left: 2 (41 enodes) 1554299837.744 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.744 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299837.744 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299837.744 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554299837.744 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554299837.745 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554299837.745 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554299837.745 * [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)))))) 1554299837.745 * * * * [misc]progress: [ 5 / 124 ] simplifiying candidate # 1554299837.746 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554299837.746 * * [misc]simplify: iters left: 5 (6 enodes) 1554299837.749 * * [misc]simplify: iters left: 4 (20 enodes) 1554299837.755 * * [misc]simplify: iters left: 3 (25 enodes) 1554299837.763 * * [misc]simplify: iters left: 2 (27 enodes) 1554299837.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.771 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299837.771 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299837.771 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299837.771 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299837.771 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299837.771 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554299837.772 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554299837.772 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554299837.772 * [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))))))) 1554299837.772 * * * * [misc]progress: [ 6 / 124 ] simplifiying candidate # 1554299837.773 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554299837.773 * * [misc]simplify: iters left: 5 (6 enodes) 1554299837.776 * * [misc]simplify: iters left: 4 (20 enodes) 1554299837.783 * * [misc]simplify: iters left: 3 (25 enodes) 1554299837.790 * * [misc]simplify: iters left: 2 (27 enodes) 1554299837.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.798 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299837.798 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299837.798 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299837.798 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299837.798 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299837.798 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554299837.799 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554299837.799 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554299837.799 * [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))))))) 1554299837.799 * * * * [misc]progress: [ 7 / 124 ] simplifiying candidate # 1554299837.799 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554299837.799 * * [misc]simplify: iters left: 4 (5 enodes) 1554299837.801 * * [misc]simplify: iters left: 3 (17 enodes) 1554299837.804 * * [misc]simplify: iters left: 2 (22 enodes) 1554299837.807 * * [misc]simplify: iters left: 1 (24 enodes) 1554299837.811 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.811 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299837.811 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299837.811 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554299837.811 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554299837.811 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554299837.811 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))) 1554299837.812 * * * * [misc]progress: [ 8 / 124 ] simplifiying candidate # 1554299837.812 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554299837.812 * * [misc]simplify: iters left: 5 (9 enodes) 1554299837.814 * * [misc]simplify: iters left: 4 (33 enodes) 1554299837.820 * * [misc]simplify: iters left: 3 (43 enodes) 1554299837.827 * * [misc]simplify: iters left: 2 (48 enodes) 1554299837.833 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.833 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299837.833 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299837.834 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554299837.834 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554299837.834 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554299837.834 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554299837.834 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554299837.834 * [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))))))) 1554299837.835 * * * * [misc]progress: [ 9 / 124 ] simplifiying candidate # 1554299837.835 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554299837.835 * * [misc]simplify: iters left: 5 (9 enodes) 1554299837.837 * * [misc]simplify: iters left: 4 (33 enodes) 1554299837.842 * * [misc]simplify: iters left: 3 (43 enodes) 1554299837.848 * * [misc]simplify: iters left: 2 (48 enodes) 1554299837.860 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.860 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299837.860 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299837.860 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554299837.860 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554299837.861 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554299837.861 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554299837.862 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554299837.862 * [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))))))) 1554299837.862 * * * * [misc]progress: [ 10 / 124 ] simplifiying candidate # 1554299837.862 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554299837.862 * * [misc]simplify: iters left: 5 (8 enodes) 1554299837.866 * * [misc]simplify: iters left: 4 (27 enodes) 1554299837.870 * * [misc]simplify: iters left: 3 (32 enodes) 1554299837.875 * * [misc]simplify: iters left: 2 (34 enodes) 1554299837.881 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299837.881 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299837.881 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554299837.881 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554299837.881 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554299837.881 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554299837.882 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554299837.882 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554299837.882 * [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))))))) 1554299837.882 * * * * [misc]progress: [ 11 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 12 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 13 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 14 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 15 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 16 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 17 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 18 / 124 ] simplifiying candidate #real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))> 1554299837.882 * * * * [misc]progress: [ 19 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 20 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 21 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 22 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 23 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 24 / 124 ] simplifiying candidate # 1554299837.882 * * * * [misc]progress: [ 25 / 124 ] simplifiying candidate # 1554299837.883 * * * * [misc]progress: [ 26 / 124 ] simplifiying candidate # 1554299837.883 * * * * [misc]progress: [ 27 / 124 ] simplifiying candidate #real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))> 1554299837.883 * * * * [misc]progress: [ 28 / 124 ] simplifiying candidate # 1554299837.883 * * * * [misc]progress: [ 29 / 124 ] simplifiying candidate # 1554299837.883 * * * * [misc]progress: [ 30 / 124 ] simplifiying candidate # 1554299837.883 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1554299837.883 * * [misc]simplify: iters left: 6 (14 enodes) 1554299837.887 * * [misc]simplify: iters left: 5 (54 enodes) 1554299837.897 * * [misc]simplify: iters left: 4 (99 enodes) 1554299837.921 * * [misc]simplify: iters left: 3 (251 enodes) 1554299838.008 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299838.008 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299838.009 * * [misc]simplify: Extracting #2: cost 151 inf + 0 1554299838.009 * * [misc]simplify: Extracting #3: cost 206 inf + 3 1554299838.011 * * [misc]simplify: Extracting #4: cost 173 inf + 5981 1554299838.020 * * [misc]simplify: Extracting #5: cost 39 inf + 35063 1554299838.039 * * [misc]simplify: Extracting #6: cost 0 inf + 45920 1554299838.057 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) 1554299838.057 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))) 1554299838.057 * * * * [misc]progress: [ 31 / 124 ] simplifiying candidate # 1554299838.058 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1554299838.058 * * [misc]simplify: iters left: 6 (14 enodes) 1554299838.064 * * [misc]simplify: iters left: 5 (54 enodes) 1554299838.080 * * [misc]simplify: iters left: 4 (99 enodes) 1554299838.098 * * [misc]simplify: iters left: 3 (251 enodes) 1554299838.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299838.207 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299838.207 * * [misc]simplify: Extracting #2: cost 151 inf + 0 1554299838.208 * * [misc]simplify: Extracting #3: cost 206 inf + 3 1554299838.209 * * [misc]simplify: Extracting #4: cost 173 inf + 5981 1554299838.217 * * [misc]simplify: Extracting #5: cost 39 inf + 35063 1554299838.226 * * [misc]simplify: Extracting #6: cost 0 inf + 45920 1554299838.239 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) 1554299838.239 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))) 1554299838.239 * * * * [misc]progress: [ 32 / 124 ] simplifiying candidate # 1554299838.239 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299838.239 * * [misc]simplify: iters left: 6 (14 enodes) 1554299838.246 * * [misc]simplify: iters left: 5 (52 enodes) 1554299838.253 * * [misc]simplify: iters left: 4 (82 enodes) 1554299838.266 * * [misc]simplify: iters left: 3 (163 enodes) 1554299838.319 * * [misc]simplify: iters left: 2 (399 enodes) 1554299838.476 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299838.476 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1554299838.478 * * [misc]simplify: Extracting #2: cost 211 inf + 0 1554299838.479 * * [misc]simplify: Extracting #3: cost 265 inf + 74 1554299838.903 * * [misc]simplify: Extracting #4: cost 228 inf + 7096 1554299838.910 * * [misc]simplify: Extracting #5: cost 73 inf + 44667 1554299838.926 * * [misc]simplify: Extracting #6: cost 0 inf + 66878 1554299838.952 * * [misc]simplify: Extracting #7: cost 0 inf + 66248 1554299838.966 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) 1554299838.966 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))) 1554299838.967 * * * * [misc]progress: [ 33 / 124 ] simplifiying candidate # 1554299838.967 * * * * [misc]progress: [ 34 / 124 ] simplifiying candidate # 1554299838.967 * * * * [misc]progress: [ 35 / 124 ] simplifiying candidate # 1554299838.967 * [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))))) 1554299838.967 * * [misc]simplify: iters left: 6 (16 enodes) 1554299838.971 * * [misc]simplify: iters left: 5 (61 enodes) 1554299838.985 * * [misc]simplify: iters left: 4 (115 enodes) 1554299839.023 * * [misc]simplify: iters left: 3 (192 enodes) 1554299839.052 * * [misc]simplify: iters left: 2 (231 enodes) 1554299839.089 * * [misc]simplify: iters left: 1 (252 enodes) 1554299839.135 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.135 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299839.136 * * [misc]simplify: Extracting #2: cost 46 inf + 42 1554299839.136 * * [misc]simplify: Extracting #3: cost 53 inf + 246 1554299839.136 * * [misc]simplify: Extracting #4: cost 52 inf + 458 1554299839.137 * * [misc]simplify: Extracting #5: cost 24 inf + 9511 1554299839.141 * * [misc]simplify: Extracting #6: cost 3 inf + 18519 1554299839.146 * * [misc]simplify: Extracting #7: cost 0 inf + 19924 1554299839.152 * [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))))) 1554299839.152 * [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)))))))) 1554299839.152 * * * * [misc]progress: [ 36 / 124 ] simplifiying candidate # 1554299839.152 * * * * [misc]progress: [ 37 / 124 ] simplifiying candidate # 1554299839.153 * * * * [misc]progress: [ 38 / 124 ] simplifiying candidate # 1554299839.153 * * * * [misc]progress: [ 39 / 124 ] simplifiying candidate # 1554299839.153 * * * * [misc]progress: [ 40 / 124 ] simplifiying candidate # 1554299839.153 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) 1554299839.153 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.159 * * [misc]simplify: iters left: 5 (43 enodes) 1554299839.174 * * [misc]simplify: iters left: 4 (55 enodes) 1554299839.189 * * [misc]simplify: iters left: 3 (63 enodes) 1554299839.205 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.205 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299839.205 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299839.205 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554299839.205 * * [misc]simplify: Extracting #4: cost 19 inf + 130 1554299839.206 * * [misc]simplify: Extracting #5: cost 9 inf + 986 1554299839.206 * * [misc]simplify: Extracting #6: cost 3 inf + 2207 1554299839.207 * * [misc]simplify: Extracting #7: cost 0 inf + 3099 1554299839.208 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) 1554299839.208 * [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))))))) 1554299839.209 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299839.209 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.215 * * [misc]simplify: iters left: 5 (42 enodes) 1554299839.227 * * [misc]simplify: iters left: 4 (52 enodes) 1554299839.242 * * [misc]simplify: iters left: 3 (57 enodes) 1554299839.256 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.256 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.256 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.256 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299839.257 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299839.257 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299839.258 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554299839.258 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554299839.259 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299839.259 * [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)))))) 1554299839.259 * * * * [misc]progress: [ 41 / 124 ] simplifiying candidate # 1554299839.260 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) 1554299839.260 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.266 * * [misc]simplify: iters left: 5 (43 enodes) 1554299839.276 * * [misc]simplify: iters left: 4 (55 enodes) 1554299839.283 * * [misc]simplify: iters left: 3 (63 enodes) 1554299839.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.291 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299839.291 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299839.291 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554299839.292 * * [misc]simplify: Extracting #4: cost 19 inf + 130 1554299839.292 * * [misc]simplify: Extracting #5: cost 9 inf + 986 1554299839.292 * * [misc]simplify: Extracting #6: cost 3 inf + 2207 1554299839.294 * * [misc]simplify: Extracting #7: cost 0 inf + 3099 1554299839.294 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) 1554299839.294 * [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))))))) 1554299839.295 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299839.295 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.298 * * [misc]simplify: iters left: 5 (42 enodes) 1554299839.304 * * [misc]simplify: iters left: 4 (52 enodes) 1554299839.317 * * [misc]simplify: iters left: 3 (57 enodes) 1554299839.332 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.332 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.332 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.332 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299839.332 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299839.332 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299839.333 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554299839.334 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554299839.335 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299839.335 * [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)))))) 1554299839.335 * * * * [misc]progress: [ 42 / 124 ] simplifiying candidate # 1554299839.335 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) 1554299839.336 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.342 * * [misc]simplify: iters left: 5 (41 enodes) 1554299839.353 * * [misc]simplify: iters left: 4 (50 enodes) 1554299839.368 * * [misc]simplify: iters left: 3 (55 enodes) 1554299839.383 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.383 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299839.383 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299839.383 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299839.383 * * [misc]simplify: Extracting #4: cost 22 inf + 45 1554299839.383 * * [misc]simplify: Extracting #5: cost 12 inf + 983 1554299839.384 * * [misc]simplify: Extracting #6: cost 2 inf + 3914 1554299839.385 * * [misc]simplify: Extracting #7: cost 0 inf + 4942 1554299839.386 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) 1554299839.386 * [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))))))) 1554299839.386 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299839.386 * * [misc]simplify: iters left: 6 (10 enodes) 1554299839.389 * * [misc]simplify: iters left: 5 (32 enodes) 1554299839.393 * * [misc]simplify: iters left: 4 (37 enodes) 1554299839.399 * * [misc]simplify: iters left: 3 (39 enodes) 1554299839.405 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.405 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.405 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.405 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299839.405 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299839.405 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299839.405 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554299839.406 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554299839.406 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299839.406 * [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))))))) 1554299839.406 * * * * [misc]progress: [ 43 / 124 ] simplifiying candidate # 1554299839.406 * [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)))))) 1554299839.406 * * [misc]simplify: iters left: 6 (16 enodes) 1554299839.411 * * [misc]simplify: iters left: 5 (60 enodes) 1554299839.421 * * [misc]simplify: iters left: 4 (88 enodes) 1554299839.434 * * [misc]simplify: iters left: 3 (102 enodes) 1554299839.460 * * [misc]simplify: iters left: 2 (105 enodes) 1554299839.485 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.485 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299839.485 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554299839.486 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554299839.486 * * [misc]simplify: Extracting #4: cost 36 inf + 42 1554299839.486 * * [misc]simplify: Extracting #5: cost 32 inf + 693 1554299839.487 * * [misc]simplify: Extracting #6: cost 23 inf + 1234 1554299839.488 * * [misc]simplify: Extracting #7: cost 17 inf + 1940 1554299839.490 * * [misc]simplify: Extracting #8: cost 3 inf + 10070 1554299839.493 * * [misc]simplify: Extracting #9: cost 0 inf + 11915 1554299839.496 * [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)))))) 1554299839.496 * [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)))))))) 1554299839.497 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299839.497 * * [misc]simplify: iters left: 6 (14 enodes) 1554299839.503 * * [misc]simplify: iters left: 5 (48 enodes) 1554299839.517 * * [misc]simplify: iters left: 4 (61 enodes) 1554299839.534 * * [misc]simplify: iters left: 3 (68 enodes) 1554299839.545 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.545 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.545 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299839.546 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299839.546 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299839.546 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299839.546 * * [misc]simplify: Extracting #6: cost 4 inf + 3019 1554299839.547 * * [misc]simplify: Extracting #7: cost 0 inf + 4133 1554299839.547 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299839.547 * [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)))))))) 1554299839.547 * * * * [misc]progress: [ 44 / 124 ] simplifiying candidate # 1554299839.547 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299839.548 * * [misc]simplify: iters left: 6 (15 enodes) 1554299839.551 * * [misc]simplify: iters left: 5 (53 enodes) 1554299839.559 * * [misc]simplify: iters left: 4 (70 enodes) 1554299839.571 * * [misc]simplify: iters left: 3 (80 enodes) 1554299839.591 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.591 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299839.591 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299839.591 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554299839.592 * * [misc]simplify: Extracting #4: cost 29 inf + 1 1554299839.592 * * [misc]simplify: Extracting #5: cost 28 inf + 129 1554299839.592 * * [misc]simplify: Extracting #6: cost 11 inf + 2482 1554299839.594 * * [misc]simplify: Extracting #7: cost 1 inf + 6100 1554299839.595 * * [misc]simplify: Extracting #8: cost 0 inf + 6675 1554299839.597 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1554299839.597 * [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)))))))) 1554299839.598 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299839.598 * * [misc]simplify: iters left: 6 (14 enodes) 1554299839.604 * * [misc]simplify: iters left: 5 (48 enodes) 1554299839.618 * * [misc]simplify: iters left: 4 (61 enodes) 1554299839.635 * * [misc]simplify: iters left: 3 (68 enodes) 1554299839.646 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.646 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.646 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299839.646 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299839.646 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299839.647 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299839.647 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554299839.648 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554299839.648 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299839.648 * [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)))))))) 1554299839.648 * * * * [misc]progress: [ 45 / 124 ] simplifiying candidate # 1554299839.649 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1554299839.649 * * [misc]simplify: iters left: 6 (6 enodes) 1554299839.650 * * [misc]simplify: iters left: 5 (20 enodes) 1554299839.655 * * [misc]simplify: iters left: 4 (30 enodes) 1554299839.659 * * [misc]simplify: iters left: 3 (31 enodes) 1554299839.663 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.663 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299839.663 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299839.663 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554299839.663 * * [misc]simplify: Extracting #4: cost 8 inf + 2 1554299839.663 * * [misc]simplify: Extracting #5: cost 0 inf + 972 1554299839.664 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554299839.664 * [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))))))) 1554299839.664 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299839.664 * * [misc]simplify: iters left: 6 (13 enodes) 1554299839.667 * * [misc]simplify: iters left: 5 (45 enodes) 1554299839.678 * * [misc]simplify: iters left: 4 (58 enodes) 1554299839.694 * * [misc]simplify: iters left: 3 (65 enodes) 1554299839.710 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.711 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.711 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.711 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299839.711 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554299839.711 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554299839.712 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1554299839.713 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1554299839.714 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299839.714 * [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))))))) 1554299839.714 * * * * [misc]progress: [ 46 / 124 ] simplifiying candidate # 1554299839.714 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) 1554299839.714 * * [misc]simplify: iters left: 6 (11 enodes) 1554299839.720 * * [misc]simplify: iters left: 5 (38 enodes) 1554299839.731 * * [misc]simplify: iters left: 4 (46 enodes) 1554299839.744 * * [misc]simplify: iters left: 3 (52 enodes) 1554299839.757 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.757 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.757 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.757 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299839.757 * * [misc]simplify: Extracting #4: cost 10 inf + 501 1554299839.758 * * [misc]simplify: Extracting #5: cost 5 inf + 710 1554299839.758 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554299839.758 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554299839.759 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) 1554299839.759 * [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))))))) 1554299839.759 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299839.759 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.762 * * [misc]simplify: iters left: 5 (42 enodes) 1554299839.768 * * [misc]simplify: iters left: 4 (52 enodes) 1554299839.776 * * [misc]simplify: iters left: 3 (57 enodes) 1554299839.783 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.783 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.783 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.783 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299839.783 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299839.783 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299839.784 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554299839.784 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554299839.785 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299839.785 * [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)))))) 1554299839.785 * * * * [misc]progress: [ 47 / 124 ] simplifiying candidate # 1554299839.785 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) 1554299839.785 * * [misc]simplify: iters left: 6 (11 enodes) 1554299839.791 * * [misc]simplify: iters left: 5 (38 enodes) 1554299839.802 * * [misc]simplify: iters left: 4 (46 enodes) 1554299839.816 * * [misc]simplify: iters left: 3 (52 enodes) 1554299839.829 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.829 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.829 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.830 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299839.830 * * [misc]simplify: Extracting #4: cost 10 inf + 501 1554299839.830 * * [misc]simplify: Extracting #5: cost 5 inf + 710 1554299839.831 * * [misc]simplify: Extracting #6: cost 1 inf + 1157 1554299839.831 * * [misc]simplify: Extracting #7: cost 0 inf + 1401 1554299839.832 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) 1554299839.832 * [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))))))) 1554299839.832 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299839.833 * * [misc]simplify: iters left: 6 (12 enodes) 1554299839.838 * * [misc]simplify: iters left: 5 (42 enodes) 1554299839.851 * * [misc]simplify: iters left: 4 (52 enodes) 1554299839.865 * * [misc]simplify: iters left: 3 (57 enodes) 1554299839.880 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.880 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.880 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.880 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299839.880 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299839.881 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299839.881 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554299839.882 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554299839.883 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299839.883 * [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)))))) 1554299839.883 * * * * [misc]progress: [ 48 / 124 ] simplifiying candidate # 1554299839.884 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554299839.884 * * [misc]simplify: iters left: 6 (11 enodes) 1554299839.887 * * [misc]simplify: iters left: 5 (36 enodes) 1554299839.892 * * [misc]simplify: iters left: 4 (41 enodes) 1554299839.898 * * [misc]simplify: iters left: 3 (43 enodes) 1554299839.905 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.905 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.905 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.905 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299839.905 * * [misc]simplify: Extracting #4: cost 16 inf + 46 1554299839.905 * * [misc]simplify: Extracting #5: cost 11 inf + 335 1554299839.906 * * [misc]simplify: Extracting #6: cost 3 inf + 1162 1554299839.906 * * [misc]simplify: Extracting #7: cost 0 inf + 2404 1554299839.906 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1554299839.906 * [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))))))) 1554299839.906 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299839.906 * * [misc]simplify: iters left: 6 (10 enodes) 1554299839.909 * * [misc]simplify: iters left: 5 (32 enodes) 1554299839.914 * * [misc]simplify: iters left: 4 (37 enodes) 1554299839.925 * * [misc]simplify: iters left: 3 (39 enodes) 1554299839.936 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.936 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299839.936 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299839.936 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299839.936 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299839.936 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299839.936 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554299839.937 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554299839.937 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299839.937 * [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))))))) 1554299839.938 * * * * [misc]progress: [ 49 / 124 ] simplifiying candidate # 1554299839.938 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554299839.938 * * [misc]simplify: iters left: 6 (15 enodes) 1554299839.945 * * [misc]simplify: iters left: 5 (53 enodes) 1554299839.955 * * [misc]simplify: iters left: 4 (68 enodes) 1554299839.964 * * [misc]simplify: iters left: 3 (75 enodes) 1554299839.974 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299839.974 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299839.974 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554299839.974 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299839.974 * * [misc]simplify: Extracting #4: cost 27 inf + 1 1554299839.974 * * [misc]simplify: Extracting #5: cost 24 inf + 213 1554299839.974 * * [misc]simplify: Extracting #6: cost 6 inf + 3317 1554299839.975 * * [misc]simplify: Extracting #7: cost 0 inf + 6193 1554299839.976 * [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)))))) 1554299839.976 * [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)))))))) 1554299839.976 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299839.976 * * [misc]simplify: iters left: 6 (14 enodes) 1554299839.979 * * [misc]simplify: iters left: 5 (48 enodes) 1554299839.986 * * [misc]simplify: iters left: 4 (61 enodes) 1554299839.997 * * [misc]simplify: iters left: 3 (68 enodes) 1554299840.015 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.016 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.016 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299840.016 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299840.016 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299840.016 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299840.017 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554299840.018 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554299840.019 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299840.019 * [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)))))))) 1554299840.019 * * * * [misc]progress: [ 50 / 124 ] simplifiying candidate # 1554299840.020 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.020 * * [misc]simplify: iters left: 6 (14 enodes) 1554299840.027 * * [misc]simplify: iters left: 5 (48 enodes) 1554299840.041 * * [misc]simplify: iters left: 4 (61 enodes) 1554299840.054 * * [misc]simplify: iters left: 3 (68 enodes) 1554299840.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.063 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.063 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299840.063 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299840.063 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299840.063 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299840.063 * * [misc]simplify: Extracting #6: cost 4 inf + 2779 1554299840.064 * * [misc]simplify: Extracting #7: cost 0 inf + 3813 1554299840.064 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299840.064 * [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)))))))) 1554299840.065 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.065 * * [misc]simplify: iters left: 6 (14 enodes) 1554299840.068 * * [misc]simplify: iters left: 5 (48 enodes) 1554299840.075 * * [misc]simplify: iters left: 4 (61 enodes) 1554299840.091 * * [misc]simplify: iters left: 3 (68 enodes) 1554299840.107 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.108 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.108 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299840.108 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299840.108 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299840.108 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299840.109 * * [misc]simplify: Extracting #6: cost 4 inf + 2779 1554299840.110 * * [misc]simplify: Extracting #7: cost 0 inf + 3813 1554299840.111 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299840.111 * [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)))))))) 1554299840.111 * * * * [misc]progress: [ 51 / 124 ] simplifiying candidate # 1554299840.111 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1554299840.111 * * [misc]simplify: iters left: 4 (5 enodes) 1554299840.114 * * [misc]simplify: iters left: 3 (15 enodes) 1554299840.118 * * [misc]simplify: iters left: 2 (17 enodes) 1554299840.123 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.123 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.123 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299840.123 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1554299840.123 * * [misc]simplify: Extracting #4: cost 1 inf + 165 1554299840.123 * * [misc]simplify: Extracting #5: cost 0 inf + 246 1554299840.123 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554299840.124 * [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))))))) 1554299840.124 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299840.124 * * [misc]simplify: iters left: 6 (13 enodes) 1554299840.132 * * [misc]simplify: iters left: 5 (45 enodes) 1554299840.145 * * [misc]simplify: iters left: 4 (58 enodes) 1554299840.161 * * [misc]simplify: iters left: 3 (65 enodes) 1554299840.176 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.176 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.176 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.176 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299840.176 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554299840.176 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554299840.176 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1554299840.177 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1554299840.177 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299840.177 * [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))))))) 1554299840.177 * * * * [misc]progress: [ 52 / 124 ] simplifiying candidate # 1554299840.178 * [enter]simplify: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2)) 1554299840.178 * * [misc]simplify: iters left: 6 (9 enodes) 1554299840.181 * * [misc]simplify: iters left: 5 (34 enodes) 1554299840.186 * * [misc]simplify: iters left: 4 (44 enodes) 1554299840.193 * * [misc]simplify: iters left: 3 (49 enodes) 1554299840.200 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.200 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.200 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299840.200 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1554299840.200 * * [misc]simplify: Extracting #4: cost 6 inf + 501 1554299840.200 * * [misc]simplify: Extracting #5: cost 0 inf + 997 1554299840.201 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* PI 2)))) 1554299840.201 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554299840.201 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299840.201 * * [misc]simplify: iters left: 6 (11 enodes) 1554299840.204 * * [misc]simplify: iters left: 5 (39 enodes) 1554299840.215 * * [misc]simplify: iters left: 4 (49 enodes) 1554299840.225 * * [misc]simplify: iters left: 3 (55 enodes) 1554299840.232 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.232 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.232 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.232 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299840.232 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554299840.232 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554299840.233 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554299840.233 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554299840.233 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1554299840.233 * * * * [misc]progress: [ 53 / 124 ] simplifiying candidate # 1554299840.233 * [enter]simplify: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2)) 1554299840.233 * * [misc]simplify: iters left: 6 (9 enodes) 1554299840.236 * * [misc]simplify: iters left: 5 (34 enodes) 1554299840.243 * * [misc]simplify: iters left: 4 (44 enodes) 1554299840.250 * * [misc]simplify: iters left: 3 (49 enodes) 1554299840.261 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.261 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.261 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299840.261 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1554299840.261 * * [misc]simplify: Extracting #4: cost 6 inf + 501 1554299840.262 * * [misc]simplify: Extracting #5: cost 0 inf + 997 1554299840.262 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* PI 2)))) 1554299840.262 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))) 1554299840.263 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299840.263 * * [misc]simplify: iters left: 6 (11 enodes) 1554299840.268 * * [misc]simplify: iters left: 5 (39 enodes) 1554299840.279 * * [misc]simplify: iters left: 4 (49 enodes) 1554299840.293 * * [misc]simplify: iters left: 3 (55 enodes) 1554299840.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.307 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.307 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.307 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299840.308 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554299840.308 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554299840.309 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554299840.309 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554299840.309 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1554299840.310 * * * * [misc]progress: [ 54 / 124 ] simplifiying candidate # 1554299840.310 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1554299840.310 * * [misc]simplify: iters left: 6 (10 enodes) 1554299840.316 * * [misc]simplify: iters left: 5 (35 enodes) 1554299840.327 * * [misc]simplify: iters left: 4 (42 enodes) 1554299840.339 * * [misc]simplify: iters left: 3 (44 enodes) 1554299840.351 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.351 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.351 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299840.351 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299840.352 * * [misc]simplify: Extracting #4: cost 13 inf + 46 1554299840.352 * * [misc]simplify: Extracting #5: cost 11 inf + 130 1554299840.352 * * [misc]simplify: Extracting #6: cost 5 inf + 503 1554299840.352 * * [misc]simplify: Extracting #7: cost 0 inf + 2003 1554299840.353 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1554299840.353 * [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))))))) 1554299840.353 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299840.353 * * [misc]simplify: iters left: 6 (9 enodes) 1554299840.356 * * [misc]simplify: iters left: 5 (29 enodes) 1554299840.360 * * [misc]simplify: iters left: 4 (34 enodes) 1554299840.365 * * [misc]simplify: iters left: 3 (36 enodes) 1554299840.371 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.371 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.371 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.371 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299840.371 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299840.372 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554299840.372 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554299840.372 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554299840.372 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299840.372 * [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))))))) 1554299840.372 * * * * [misc]progress: [ 55 / 124 ] simplifiying candidate # 1554299840.373 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554299840.373 * * [misc]simplify: iters left: 6 (14 enodes) 1554299840.376 * * [misc]simplify: iters left: 5 (52 enodes) 1554299840.385 * * [misc]simplify: iters left: 4 (69 enodes) 1554299840.396 * * [misc]simplify: iters left: 3 (77 enodes) 1554299840.407 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.407 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299840.407 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299840.407 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554299840.407 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299840.407 * * [misc]simplify: Extracting #5: cost 23 inf + 172 1554299840.407 * * [misc]simplify: Extracting #6: cost 14 inf + 713 1554299840.408 * * [misc]simplify: Extracting #7: cost 4 inf + 3651 1554299840.408 * * [misc]simplify: Extracting #8: cost 0 inf + 5634 1554299840.409 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1554299840.409 * [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)))))))) 1554299840.410 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.410 * * [misc]simplify: iters left: 6 (13 enodes) 1554299840.413 * * [misc]simplify: iters left: 5 (45 enodes) 1554299840.420 * * [misc]simplify: iters left: 4 (58 enodes) 1554299840.428 * * [misc]simplify: iters left: 3 (65 enodes) 1554299840.437 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.437 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.437 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299840.437 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299840.437 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554299840.437 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554299840.437 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554299840.438 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554299840.438 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554299840.439 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554299840.439 * [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)))))))) 1554299840.439 * * * * [misc]progress: [ 56 / 124 ] simplifiying candidate # 1554299840.439 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.439 * * [misc]simplify: iters left: 6 (13 enodes) 1554299840.443 * * [misc]simplify: iters left: 5 (47 enodes) 1554299840.451 * * [misc]simplify: iters left: 4 (62 enodes) 1554299840.461 * * [misc]simplify: iters left: 3 (69 enodes) 1554299840.470 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.471 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.471 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299840.471 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554299840.471 * * [misc]simplify: Extracting #4: cost 19 inf + 1 1554299840.471 * * [misc]simplify: Extracting #5: cost 17 inf + 297 1554299840.471 * * [misc]simplify: Extracting #6: cost 10 inf + 632 1554299840.471 * * [misc]simplify: Extracting #7: cost 2 inf + 2915 1554299840.472 * * [misc]simplify: Extracting #8: cost 0 inf + 3412 1554299840.472 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1554299840.472 * [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)))))))) 1554299840.473 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.473 * * [misc]simplify: iters left: 6 (13 enodes) 1554299840.476 * * [misc]simplify: iters left: 5 (45 enodes) 1554299840.489 * * [misc]simplify: iters left: 4 (58 enodes) 1554299840.506 * * [misc]simplify: iters left: 3 (65 enodes) 1554299840.522 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.522 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.522 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299840.522 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299840.522 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554299840.522 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554299840.523 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554299840.524 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1554299840.524 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1554299840.525 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554299840.526 * [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)))))))) 1554299840.526 * * * * [misc]progress: [ 57 / 124 ] simplifiying candidate # 1554299840.526 * [enter]simplify: Simplifying (/ 1 1) 1554299840.526 * * [misc]simplify: iters left: 2 (2 enodes) 1554299840.528 * * [misc]simplify: iters left: 1 (6 enodes) 1554299840.529 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.529 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554299840.529 * [exit]simplify: Simplified to 1 1554299840.529 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) 1554299840.530 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299840.530 * * [misc]simplify: iters left: 6 (12 enodes) 1554299840.533 * * [misc]simplify: iters left: 5 (42 enodes) 1554299840.539 * * [misc]simplify: iters left: 4 (55 enodes) 1554299840.547 * * [misc]simplify: iters left: 3 (62 enodes) 1554299840.554 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.554 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.554 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.554 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299840.554 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554299840.555 * * [misc]simplify: Extracting #5: cost 12 inf + 504 1554299840.555 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554299840.555 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554299840.557 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1554299840.557 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1554299840.557 * * * * [misc]progress: [ 58 / 124 ] simplifiying candidate # 1554299840.557 * * * * [misc]progress: [ 59 / 124 ] simplifiying candidate # 1554299840.557 * * * * [misc]progress: [ 60 / 124 ] simplifiying candidate # 1554299840.557 * * * * [misc]progress: [ 61 / 124 ] simplifiying candidate # 1554299840.558 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554299840.558 * * [misc]simplify: iters left: 5 (9 enodes) 1554299840.562 * * [misc]simplify: iters left: 4 (33 enodes) 1554299840.572 * * [misc]simplify: iters left: 3 (43 enodes) 1554299840.580 * * [misc]simplify: iters left: 2 (48 enodes) 1554299840.586 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.586 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.586 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299840.586 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554299840.586 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554299840.586 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554299840.587 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554299840.587 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554299840.587 * [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)))))) 1554299840.587 * * * * [misc]progress: [ 62 / 124 ] simplifiying candidate # 1554299840.587 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- (/ k 2))) 1554299840.587 * * [misc]simplify: iters left: 5 (9 enodes) 1554299840.590 * * [misc]simplify: iters left: 4 (33 enodes) 1554299840.595 * * [misc]simplify: iters left: 3 (43 enodes) 1554299840.600 * * [misc]simplify: iters left: 2 (48 enodes) 1554299840.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.606 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.606 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299840.606 * * [misc]simplify: Extracting #3: cost 16 inf + 45 1554299840.607 * * [misc]simplify: Extracting #4: cost 10 inf + 297 1554299840.607 * * [misc]simplify: Extracting #5: cost 4 inf + 629 1554299840.607 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 1554299840.607 * [exit]simplify: Simplified to (pow (* (* PI 2) n) (- (/ k 2))) 1554299840.607 * [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)))))) 1554299840.607 * * * * [misc]progress: [ 63 / 124 ] simplifiying candidate # 1554299840.608 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554299840.608 * * [misc]simplify: iters left: 5 (7 enodes) 1554299840.611 * * [misc]simplify: iters left: 4 (23 enodes) 1554299840.618 * * [misc]simplify: iters left: 3 (28 enodes) 1554299840.626 * * [misc]simplify: iters left: 2 (30 enodes) 1554299840.634 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.634 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.634 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299840.634 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299840.634 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554299840.635 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554299840.635 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554299840.635 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554299840.636 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554299840.636 * [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)))))) 1554299840.636 * * * * [misc]progress: [ 64 / 124 ] simplifiying candidate # 1554299840.636 * [enter]simplify: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299840.636 * * [misc]simplify: iters left: 6 (11 enodes) 1554299840.642 * * [misc]simplify: iters left: 5 (39 enodes) 1554299840.653 * * [misc]simplify: iters left: 4 (52 enodes) 1554299840.668 * * [misc]simplify: iters left: 3 (59 enodes) 1554299840.679 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.679 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299840.679 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299840.679 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299840.679 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1554299840.680 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1554299840.680 * * [misc]simplify: Extracting #6: cost 0 inf + 2579 1554299840.680 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1554299840.680 * [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))))))) 1554299840.681 * * * * [misc]progress: [ 65 / 124 ] simplifiying candidate # 1554299840.681 * [enter]simplify: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299840.681 * * [misc]simplify: iters left: 6 (11 enodes) 1554299840.684 * * [misc]simplify: iters left: 5 (39 enodes) 1554299840.690 * * [misc]simplify: iters left: 4 (52 enodes) 1554299840.697 * * [misc]simplify: iters left: 3 (59 enodes) 1554299840.704 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.704 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299840.704 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299840.704 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299840.704 * * [misc]simplify: Extracting #4: cost 19 inf + 46 1554299840.705 * * [misc]simplify: Extracting #5: cost 7 inf + 1087 1554299840.705 * * [misc]simplify: Extracting #6: cost 0 inf + 2499 1554299840.706 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1554299840.706 * [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))))))) 1554299840.706 * * * * [misc]progress: [ 66 / 124 ] simplifiying candidate # 1554299840.706 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554299840.707 * * [misc]simplify: iters left: 5 (10 enodes) 1554299840.711 * * [misc]simplify: iters left: 4 (36 enodes) 1554299840.722 * * [misc]simplify: iters left: 3 (49 enodes) 1554299840.735 * * [misc]simplify: iters left: 2 (56 enodes) 1554299840.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.749 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.749 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299840.749 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1554299840.750 * * [misc]simplify: Extracting #4: cost 7 inf + 630 1554299840.750 * * [misc]simplify: Extracting #5: cost 0 inf + 1669 1554299840.751 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554299840.751 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1554299840.751 * * * * [misc]progress: [ 67 / 124 ] simplifiying candidate # 1554299840.751 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554299840.751 * * [misc]simplify: iters left: 4 (4 enodes) 1554299840.753 * * [misc]simplify: iters left: 3 (12 enodes) 1554299840.756 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.756 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299840.756 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299840.756 * * [misc]simplify: Extracting #3: cost 7 inf + 0 1554299840.756 * * [misc]simplify: Extracting #4: cost 6 inf + 1 1554299840.756 * * [misc]simplify: Extracting #5: cost 0 inf + 647 1554299840.757 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554299840.757 * [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)))))) 1554299840.757 * * * * [misc]progress: [ 68 / 124 ] simplifiying candidate # 1554299840.757 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554299840.757 * * [misc]simplify: iters left: 2 (3 enodes) 1554299840.758 * * [misc]simplify: iters left: 1 (9 enodes) 1554299840.761 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.761 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299840.761 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299840.761 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554299840.761 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554299840.761 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554299840.761 * [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)))))) 1554299840.761 * * * * [misc]progress: [ 69 / 124 ] simplifiying candidate # 1554299840.761 * * * * [misc]progress: [ 70 / 124 ] simplifiying candidate # 1554299840.761 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554299840.761 * * [misc]simplify: iters left: 5 (8 enodes) 1554299840.765 * * [misc]simplify: iters left: 4 (28 enodes) 1554299840.774 * * [misc]simplify: iters left: 3 (36 enodes) 1554299840.782 * * [misc]simplify: iters left: 2 (41 enodes) 1554299840.787 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.787 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.787 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299840.787 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554299840.788 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554299840.788 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554299840.788 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554299840.788 * [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))))) 1554299840.788 * * * * [misc]progress: [ 71 / 124 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))> 1554299840.788 * * * * [misc]progress: [ 72 / 124 ] simplifiying candidate # 1554299840.788 * * * * [misc]progress: [ 73 / 124 ] simplifiying candidate # 1554299840.788 * [enter]simplify: Simplifying (- 1) 1554299840.788 * * [misc]simplify: iters left: 2 (2 enodes) 1554299840.790 * * [misc]simplify: iters left: 1 (9 enodes) 1554299840.792 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.792 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554299840.792 * [exit]simplify: Simplified to -1 1554299840.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1)) 1554299840.792 * * * * [misc]progress: [ 74 / 124 ] simplifiying candidate # 1554299840.792 * * * * [misc]progress: [ 75 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 76 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 77 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 78 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 79 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 80 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 81 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 82 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 83 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 84 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 85 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 86 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 87 / 124 ] simplifiying candidate # 1554299840.793 * * * * [misc]progress: [ 88 / 124 ] simplifiying candidate # 1554299840.793 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.793 * * [misc]simplify: iters left: 6 (13 enodes) 1554299840.796 * * [misc]simplify: iters left: 5 (45 enodes) 1554299840.804 * * [misc]simplify: iters left: 4 (58 enodes) 1554299840.820 * * [misc]simplify: iters left: 3 (65 enodes) 1554299840.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.831 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299840.831 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299840.831 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554299840.831 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1554299840.831 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299840.831 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554299840.831 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554299840.832 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554299840.832 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554299840.832 * [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))))))) 1554299840.832 * * * * [misc]progress: [ 89 / 124 ] simplifiying candidate # 1554299840.833 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.833 * * [misc]simplify: iters left: 6 (13 enodes) 1554299840.836 * * [misc]simplify: iters left: 5 (45 enodes) 1554299840.843 * * [misc]simplify: iters left: 4 (58 enodes) 1554299840.851 * * [misc]simplify: iters left: 3 (65 enodes) 1554299840.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.859 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299840.859 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299840.859 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554299840.859 * * [misc]simplify: Extracting #4: cost 21 inf + 1 1554299840.859 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299840.860 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554299840.860 * * [misc]simplify: Extracting #7: cost 1 inf + 3156 1554299840.861 * * [misc]simplify: Extracting #8: cost 0 inf + 3651 1554299840.861 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554299840.861 * [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))))))) 1554299840.861 * * * * [misc]progress: [ 90 / 124 ] simplifiying candidate # 1554299840.861 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299840.861 * * [misc]simplify: iters left: 6 (12 enodes) 1554299840.864 * * [misc]simplify: iters left: 5 (42 enodes) 1554299840.871 * * [misc]simplify: iters left: 4 (52 enodes) 1554299840.885 * * [misc]simplify: iters left: 3 (57 enodes) 1554299840.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.900 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.900 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.901 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299840.901 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299840.901 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299840.902 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554299840.903 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554299840.903 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299840.903 * [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))))) 1554299840.904 * * * * [misc]progress: [ 91 / 124 ] simplifiying candidate # 1554299840.904 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299840.904 * * [misc]simplify: iters left: 6 (12 enodes) 1554299840.910 * * [misc]simplify: iters left: 5 (42 enodes) 1554299840.922 * * [misc]simplify: iters left: 4 (52 enodes) 1554299840.934 * * [misc]simplify: iters left: 3 (57 enodes) 1554299840.941 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.941 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.941 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.941 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299840.942 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299840.942 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299840.942 * * [misc]simplify: Extracting #6: cost 1 inf + 2358 1554299840.942 * * [misc]simplify: Extracting #7: cost 0 inf + 2892 1554299840.943 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299840.943 * [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))))) 1554299840.943 * * * * [misc]progress: [ 92 / 124 ] simplifiying candidate # 1554299840.943 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299840.943 * * [misc]simplify: iters left: 6 (10 enodes) 1554299840.946 * * [misc]simplify: iters left: 5 (32 enodes) 1554299840.951 * * [misc]simplify: iters left: 4 (37 enodes) 1554299840.956 * * [misc]simplify: iters left: 3 (39 enodes) 1554299840.961 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299840.961 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299840.961 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299840.961 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299840.961 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299840.961 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299840.961 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554299840.962 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554299840.962 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299840.962 * [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)))))) 1554299840.962 * * * * [misc]progress: [ 93 / 124 ] simplifiying candidate # 1554299840.962 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299840.962 * * [misc]simplify: iters left: 6 (14 enodes) 1554299840.966 * * [misc]simplify: iters left: 5 (48 enodes) 1554299840.979 * * [misc]simplify: iters left: 4 (61 enodes) 1554299840.995 * * [misc]simplify: iters left: 3 (68 enodes) 1554299841.006 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.006 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.006 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299841.006 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299841.006 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299841.006 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299841.007 * * [misc]simplify: Extracting #6: cost 4 inf + 3019 1554299841.007 * * [misc]simplify: Extracting #7: cost 0 inf + 4133 1554299841.008 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299841.008 * [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))))))) 1554299841.008 * * * * [misc]progress: [ 94 / 124 ] simplifiying candidate # 1554299841.008 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299841.008 * * [misc]simplify: iters left: 6 (14 enodes) 1554299841.012 * * [misc]simplify: iters left: 5 (48 enodes) 1554299841.019 * * [misc]simplify: iters left: 4 (61 enodes) 1554299841.028 * * [misc]simplify: iters left: 3 (68 enodes) 1554299841.045 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.045 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.045 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299841.045 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299841.045 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299841.046 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299841.047 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554299841.048 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554299841.049 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299841.049 * [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))))))) 1554299841.049 * * * * [misc]progress: [ 95 / 124 ] simplifiying candidate # 1554299841.050 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.050 * * [misc]simplify: iters left: 6 (13 enodes) 1554299841.056 * * [misc]simplify: iters left: 5 (45 enodes) 1554299841.069 * * [misc]simplify: iters left: 4 (58 enodes) 1554299841.085 * * [misc]simplify: iters left: 3 (65 enodes) 1554299841.101 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.101 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.102 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.102 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299841.102 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554299841.102 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554299841.103 * * [misc]simplify: Extracting #6: cost 1 inf + 2528 1554299841.104 * * [misc]simplify: Extracting #7: cost 0 inf + 3063 1554299841.105 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.105 * [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)))))) 1554299841.105 * * * * [misc]progress: [ 96 / 124 ] simplifiying candidate # 1554299841.105 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299841.105 * * [misc]simplify: iters left: 6 (12 enodes) 1554299841.111 * * [misc]simplify: iters left: 5 (42 enodes) 1554299841.120 * * [misc]simplify: iters left: 4 (52 enodes) 1554299841.128 * * [misc]simplify: iters left: 3 (57 enodes) 1554299841.135 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.135 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.135 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.135 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299841.135 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299841.135 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299841.136 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554299841.136 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554299841.136 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299841.136 * [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))))) 1554299841.136 * * * * [misc]progress: [ 97 / 124 ] simplifiying candidate # 1554299841.137 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299841.137 * * [misc]simplify: iters left: 6 (12 enodes) 1554299841.142 * * [misc]simplify: iters left: 5 (42 enodes) 1554299841.154 * * [misc]simplify: iters left: 4 (52 enodes) 1554299841.169 * * [misc]simplify: iters left: 3 (57 enodes) 1554299841.183 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.183 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.183 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.183 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299841.184 * * [misc]simplify: Extracting #4: cost 17 inf + 296 1554299841.184 * * [misc]simplify: Extracting #5: cost 8 inf + 751 1554299841.185 * * [misc]simplify: Extracting #6: cost 1 inf + 2238 1554299841.185 * * [misc]simplify: Extracting #7: cost 0 inf + 2732 1554299841.186 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) 1554299841.186 * [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))))) 1554299841.186 * * * * [misc]progress: [ 98 / 124 ] simplifiying candidate # 1554299841.187 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299841.187 * * [misc]simplify: iters left: 6 (10 enodes) 1554299841.192 * * [misc]simplify: iters left: 5 (32 enodes) 1554299841.202 * * [misc]simplify: iters left: 4 (37 enodes) 1554299841.213 * * [misc]simplify: iters left: 3 (39 enodes) 1554299841.225 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.225 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.225 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.225 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299841.225 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299841.225 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299841.225 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554299841.226 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554299841.227 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299841.227 * [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)))))) 1554299841.227 * * * * [misc]progress: [ 99 / 124 ] simplifiying candidate # 1554299841.227 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299841.227 * * [misc]simplify: iters left: 6 (14 enodes) 1554299841.234 * * [misc]simplify: iters left: 5 (48 enodes) 1554299841.248 * * [misc]simplify: iters left: 4 (61 enodes) 1554299841.264 * * [misc]simplify: iters left: 3 (68 enodes) 1554299841.280 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.280 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.280 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299841.280 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299841.281 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299841.281 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299841.281 * * [misc]simplify: Extracting #6: cost 4 inf + 2899 1554299841.282 * * [misc]simplify: Extracting #7: cost 0 inf + 3973 1554299841.282 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299841.282 * [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))))))) 1554299841.282 * * * * [misc]progress: [ 100 / 124 ] simplifiying candidate # 1554299841.282 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299841.283 * * [misc]simplify: iters left: 6 (14 enodes) 1554299841.286 * * [misc]simplify: iters left: 5 (48 enodes) 1554299841.293 * * [misc]simplify: iters left: 4 (61 enodes) 1554299841.301 * * [misc]simplify: iters left: 3 (68 enodes) 1554299841.311 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.311 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.311 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299841.311 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299841.311 * * [misc]simplify: Extracting #4: cost 23 inf + 1 1554299841.311 * * [misc]simplify: Extracting #5: cost 21 inf + 172 1554299841.312 * * [misc]simplify: Extracting #6: cost 4 inf + 2779 1554299841.313 * * [misc]simplify: Extracting #7: cost 0 inf + 3813 1554299841.314 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1554299841.314 * [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))))))) 1554299841.314 * * * * [misc]progress: [ 101 / 124 ] simplifiying candidate # 1554299841.314 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.315 * * [misc]simplify: iters left: 6 (13 enodes) 1554299841.321 * * [misc]simplify: iters left: 5 (45 enodes) 1554299841.334 * * [misc]simplify: iters left: 4 (58 enodes) 1554299841.345 * * [misc]simplify: iters left: 3 (65 enodes) 1554299841.354 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.354 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.354 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.354 * * [misc]simplify: Extracting #3: cost 22 inf + 0 1554299841.354 * * [misc]simplify: Extracting #4: cost 20 inf + 172 1554299841.354 * * [misc]simplify: Extracting #5: cost 13 inf + 587 1554299841.354 * * [misc]simplify: Extracting #6: cost 1 inf + 2408 1554299841.355 * * [misc]simplify: Extracting #7: cost 0 inf + 2903 1554299841.355 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.355 * [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)))))) 1554299841.356 * * * * [misc]progress: [ 102 / 124 ] simplifiying candidate # 1554299841.356 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299841.356 * * [misc]simplify: iters left: 6 (11 enodes) 1554299841.358 * * [misc]simplify: iters left: 5 (39 enodes) 1554299841.365 * * [misc]simplify: iters left: 4 (49 enodes) 1554299841.374 * * [misc]simplify: iters left: 3 (55 enodes) 1554299841.388 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.388 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.388 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.389 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299841.389 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554299841.389 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554299841.390 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554299841.390 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554299841.391 * [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))))) 1554299841.391 * * * * [misc]progress: [ 103 / 124 ] simplifiying candidate # 1554299841.391 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))) 1554299841.391 * * [misc]simplify: iters left: 6 (11 enodes) 1554299841.396 * * [misc]simplify: iters left: 5 (39 enodes) 1554299841.408 * * [misc]simplify: iters left: 4 (49 enodes) 1554299841.421 * * [misc]simplify: iters left: 3 (55 enodes) 1554299841.428 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.428 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.428 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.428 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299841.429 * * [misc]simplify: Extracting #4: cost 15 inf + 211 1554299841.429 * * [misc]simplify: Extracting #5: cost 3 inf + 1208 1554299841.429 * * [misc]simplify: Extracting #6: cost 0 inf + 2490 1554299841.429 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) 1554299841.429 * [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))))) 1554299841.430 * * * * [misc]progress: [ 104 / 124 ] simplifiying candidate # 1554299841.430 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299841.430 * * [misc]simplify: iters left: 6 (9 enodes) 1554299841.433 * * [misc]simplify: iters left: 5 (29 enodes) 1554299841.437 * * [misc]simplify: iters left: 4 (34 enodes) 1554299841.442 * * [misc]simplify: iters left: 3 (36 enodes) 1554299841.447 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.447 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.447 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.448 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299841.448 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299841.448 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554299841.448 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554299841.448 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554299841.448 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299841.448 * [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)))))) 1554299841.448 * * * * [misc]progress: [ 105 / 124 ] simplifiying candidate # 1554299841.449 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299841.449 * * [misc]simplify: iters left: 6 (13 enodes) 1554299841.452 * * [misc]simplify: iters left: 5 (45 enodes) 1554299841.459 * * [misc]simplify: iters left: 4 (58 enodes) 1554299841.467 * * [misc]simplify: iters left: 3 (65 enodes) 1554299841.477 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.477 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.477 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299841.477 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299841.477 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554299841.477 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554299841.477 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554299841.478 * * [misc]simplify: Extracting #7: cost 1 inf + 3196 1554299841.478 * * [misc]simplify: Extracting #8: cost 0 inf + 3731 1554299841.479 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554299841.479 * [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))))))) 1554299841.479 * * * * [misc]progress: [ 106 / 124 ] simplifiying candidate # 1554299841.479 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299841.479 * * [misc]simplify: iters left: 6 (13 enodes) 1554299841.484 * * [misc]simplify: iters left: 5 (45 enodes) 1554299841.499 * * [misc]simplify: iters left: 4 (58 enodes) 1554299841.515 * * [misc]simplify: iters left: 3 (65 enodes) 1554299841.531 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.531 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.531 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299841.531 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299841.531 * * [misc]simplify: Extracting #4: cost 19 inf + 83 1554299841.531 * * [misc]simplify: Extracting #5: cost 20 inf + 129 1554299841.531 * * [misc]simplify: Extracting #6: cost 11 inf + 711 1554299841.532 * * [misc]simplify: Extracting #7: cost 1 inf + 3076 1554299841.532 * * [misc]simplify: Extracting #8: cost 0 inf + 3571 1554299841.533 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1554299841.533 * [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))))))) 1554299841.533 * * * * [misc]progress: [ 107 / 124 ] simplifiying candidate # 1554299841.533 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.533 * * [misc]simplify: iters left: 6 (12 enodes) 1554299841.536 * * [misc]simplify: iters left: 5 (42 enodes) 1554299841.543 * * [misc]simplify: iters left: 4 (55 enodes) 1554299841.553 * * [misc]simplify: iters left: 3 (62 enodes) 1554299841.564 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.564 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.564 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.564 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299841.564 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554299841.565 * * [misc]simplify: Extracting #5: cost 12 inf + 504 1554299841.565 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554299841.566 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554299841.567 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1554299841.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1554299841.567 * * * * [misc]progress: [ 108 / 124 ] simplifiying candidate # 1554299841.567 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.568 * * [misc]simplify: iters left: 6 (12 enodes) 1554299841.574 * * [misc]simplify: iters left: 5 (42 enodes) 1554299841.586 * * [misc]simplify: iters left: 4 (55 enodes) 1554299841.599 * * [misc]simplify: iters left: 3 (62 enodes) 1554299841.607 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.607 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.607 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299841.607 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299841.607 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554299841.607 * * [misc]simplify: Extracting #5: cost 12 inf + 504 1554299841.608 * * [misc]simplify: Extracting #6: cost 1 inf + 2206 1554299841.608 * * [misc]simplify: Extracting #7: cost 0 inf + 2661 1554299841.608 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) 1554299841.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1554299841.609 * * * * [misc]progress: [ 109 / 124 ] simplifiying candidate # 1554299841.609 * [enter]simplify: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1554299841.609 * * [misc]simplify: iters left: 6 (12 enodes) 1554299841.612 * * [misc]simplify: iters left: 5 (44 enodes) 1554299841.619 * * [misc]simplify: iters left: 4 (59 enodes) 1554299841.627 * * [misc]simplify: iters left: 3 (66 enodes) 1554299841.636 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.636 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.636 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299841.636 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299841.636 * * [misc]simplify: Extracting #4: cost 15 inf + 297 1554299841.636 * * [misc]simplify: Extracting #5: cost 8 inf + 673 1554299841.636 * * [misc]simplify: Extracting #6: cost 1 inf + 2127 1554299841.637 * * [misc]simplify: Extracting #7: cost 0 inf + 2502 1554299841.638 * [exit]simplify: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) 1554299841.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))))) 1554299841.638 * * * * [misc]progress: [ 110 / 124 ] simplifiying candidate # 1554299841.638 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (/ k 2)) 1554299841.638 * * [misc]simplify: iters left: 5 (8 enodes) 1554299841.642 * * [misc]simplify: iters left: 4 (28 enodes) 1554299841.651 * * [misc]simplify: iters left: 3 (36 enodes) 1554299841.661 * * [misc]simplify: iters left: 2 (41 enodes) 1554299841.671 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.671 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.671 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299841.671 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554299841.672 * * [misc]simplify: Extracting #4: cost 3 inf + 756 1554299841.672 * * [misc]simplify: Extracting #5: cost 0 inf + 1174 1554299841.673 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ k 2)) 1554299841.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2)))) 1554299841.673 * * * * [misc]progress: [ 111 / 124 ] simplifiying candidate # 1554299841.673 * [enter]simplify: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554299841.673 * * [misc]simplify: iters left: 5 (10 enodes) 1554299841.679 * * [misc]simplify: iters left: 4 (36 enodes) 1554299841.690 * * [misc]simplify: iters left: 3 (49 enodes) 1554299841.705 * * [misc]simplify: iters left: 2 (56 enodes) 1554299841.714 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.714 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299841.714 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299841.715 * * [misc]simplify: Extracting #3: cost 18 inf + 4 1554299841.715 * * [misc]simplify: Extracting #4: cost 7 inf + 630 1554299841.715 * * [misc]simplify: Extracting #5: cost 0 inf + 1669 1554299841.715 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1554299841.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1554299841.715 * * * * [misc]progress: [ 112 / 124 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))> 1554299841.716 * * * * [misc]progress: [ 113 / 124 ] simplifiying candidate # 1554299841.716 * [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))))) 1554299841.716 * * [misc]simplify: iters left: 6 (37 enodes) 1554299841.727 * * [misc]simplify: iters left: 5 (179 enodes) 1554299841.776 * * [misc]simplify: iters left: 4 (458 enodes) 1554299841.925 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299841.925 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1554299841.926 * * [misc]simplify: Extracting #2: cost 287 inf + 0 1554299841.928 * * [misc]simplify: Extracting #3: cost 485 inf + 158 1554299841.931 * * [misc]simplify: Extracting #4: cost 473 inf + 4949 1554299841.955 * * [misc]simplify: Extracting #5: cost 294 inf + 68227 1554299842.013 * * [misc]simplify: Extracting #6: cost 43 inf + 204764 1554299842.105 * * [misc]simplify: Extracting #7: cost 0 inf + 227627 1554299842.164 * * [misc]simplify: Extracting #8: cost 0 inf + 222950 1554299842.241 * * [misc]simplify: Extracting #9: cost 0 inf + 222310 1554299842.337 * [exit]simplify: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) 1554299842.337 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))))) 1554299842.337 * * * * [misc]progress: [ 114 / 124 ] simplifiying candidate # 1554299842.337 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1554299842.337 * * [misc]simplify: iters left: 6 (15 enodes) 1554299842.342 * * [misc]simplify: iters left: 5 (63 enodes) 1554299842.352 * * [misc]simplify: iters left: 4 (108 enodes) 1554299842.377 * * [misc]simplify: iters left: 3 (260 enodes) 1554299842.492 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299842.492 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299842.492 * * [misc]simplify: Extracting #2: cost 115 inf + 0 1554299842.494 * * [misc]simplify: Extracting #3: cost 221 inf + 4 1554299842.496 * * [misc]simplify: Extracting #4: cost 174 inf + 5827 1554299842.507 * * [misc]simplify: Extracting #5: cost 46 inf + 35251 1554299842.524 * * [misc]simplify: Extracting #6: cost 0 inf + 47711 1554299842.542 * * [misc]simplify: Extracting #7: cost 0 inf + 47571 1554299842.554 * [exit]simplify: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) 1554299842.554 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))))) 1554299842.555 * * * * [misc]progress: [ 115 / 124 ] simplifiying candidate # 1554299842.555 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1554299842.555 * * [misc]simplify: iters left: 6 (15 enodes) 1554299842.559 * * [misc]simplify: iters left: 5 (60 enodes) 1554299842.569 * * [misc]simplify: iters left: 4 (111 enodes) 1554299842.605 * * [misc]simplify: iters left: 3 (294 enodes) 1554299842.779 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299842.779 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299842.779 * * [misc]simplify: Extracting #2: cost 142 inf + 0 1554299842.781 * * [misc]simplify: Extracting #3: cost 317 inf + 187 1554299842.782 * * [misc]simplify: Extracting #4: cost 290 inf + 2919 1554299842.788 * * [misc]simplify: Extracting #5: cost 105 inf + 47243 1554299842.802 * * [misc]simplify: Extracting #6: cost 3 inf + 79409 1554299842.828 * * [misc]simplify: Extracting #7: cost 0 inf + 77357 1554299842.849 * [exit]simplify: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1554299842.849 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))) 1554299842.849 * * * * [misc]progress: [ 116 / 124 ] simplifiying candidate # 1554299842.849 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554299842.850 * * [misc]simplify: iters left: 4 (5 enodes) 1554299842.851 * * [misc]simplify: iters left: 3 (19 enodes) 1554299842.854 * * [misc]simplify: iters left: 2 (27 enodes) 1554299842.858 * * [misc]simplify: iters left: 1 (32 enodes) 1554299842.862 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299842.862 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299842.862 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299842.862 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299842.862 * [exit]simplify: Simplified to (* (* PI n) 2) 1554299842.862 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554299842.862 * * * * [misc]progress: [ 117 / 124 ] simplifiying candidate # 1554299842.862 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554299842.862 * * [misc]simplify: iters left: 4 (5 enodes) 1554299842.864 * * [misc]simplify: iters left: 3 (19 enodes) 1554299842.867 * * [misc]simplify: iters left: 2 (27 enodes) 1554299842.872 * * [misc]simplify: iters left: 1 (32 enodes) 1554299842.880 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299842.880 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299842.880 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299842.880 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299842.881 * [exit]simplify: Simplified to (* (* PI n) 2) 1554299842.881 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554299842.881 * * * * [misc]progress: [ 118 / 124 ] simplifiying candidate # 1554299842.881 * [enter]simplify: Simplifying (* 2 (* n PI)) 1554299842.881 * * [misc]simplify: iters left: 4 (5 enodes) 1554299842.884 * * [misc]simplify: iters left: 3 (19 enodes) 1554299842.889 * * [misc]simplify: iters left: 2 (27 enodes) 1554299842.897 * * [misc]simplify: iters left: 1 (32 enodes) 1554299842.905 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299842.905 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299842.905 * * [misc]simplify: Extracting #2: cost 7 inf + 45 1554299842.906 * * [misc]simplify: Extracting #3: cost 0 inf + 421 1554299842.906 * [exit]simplify: Simplified to (* (* PI n) 2) 1554299842.906 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1554299842.906 * * * * [misc]progress: [ 119 / 124 ] simplifiying candidate # 1554299842.906 * [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))))))))))) 1554299842.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1554299842.907 * * * * [misc]progress: [ 120 / 124 ] simplifiying candidate # 1554299842.907 * [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)))))))))))) 1554299842.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1554299842.907 * * * * [misc]progress: [ 121 / 124 ] simplifiying candidate # 1554299842.908 * [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)))))))))))) 1554299842.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1554299842.908 * * * * [misc]progress: [ 122 / 124 ] simplifiying candidate # 1554299842.908 * [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))))))))))))) 1554299842.908 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299842.909 * * * * [misc]progress: [ 123 / 124 ] simplifiying candidate # 1554299842.909 * [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)))))))) 1554299842.909 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299842.909 * * * * [misc]progress: [ 124 / 124 ] simplifiying candidate # 1554299842.909 * [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))))))))))) 1554299842.910 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299842.910 * * * [misc]progress: adding candidates to table 1554299844.325 * * [misc]progress: iteration 3 / 4 1554299844.325 * * * [misc]progress: picking best candidate 1554299844.363 * * * * [misc]pick: Picked # 1554299844.363 * * * [misc]progress: localizing error 1554299844.393 * * * [misc]progress: generating rewritten candidates 1554299844.393 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1554299844.395 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1554299844.398 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1554299844.407 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1554299844.431 * * * [misc]progress: generating series expansions 1554299844.431 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1554299844.432 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1554299844.432 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1554299844.432 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554299844.432 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554299844.432 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554299844.432 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.432 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.432 * [misc]taylor: Taking taylor expansion of k in k 1554299844.432 * [misc]backup-simplify: Simplify 0 into 0 1554299844.432 * [misc]backup-simplify: Simplify 1 into 1 1554299844.432 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.432 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.432 * [misc]backup-simplify: Simplify PI into PI 1554299844.433 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.433 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.433 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.433 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.434 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.434 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554299844.434 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554299844.434 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554299844.434 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554299844.434 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.434 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.434 * [misc]taylor: Taking taylor expansion of k in k 1554299844.435 * [misc]backup-simplify: Simplify 0 into 0 1554299844.435 * [misc]backup-simplify: Simplify 1 into 1 1554299844.435 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.435 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.435 * [misc]backup-simplify: Simplify PI into PI 1554299844.435 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.435 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.435 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.435 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.436 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.436 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554299844.437 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1554299844.439 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299844.439 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299844.439 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.440 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554299844.448 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554299844.449 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1554299844.454 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299844.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.454 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554299844.460 * [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))) 1554299844.461 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1554299844.464 * [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)))) 1554299844.464 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.464 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1554299844.464 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.464 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554299844.464 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554299844.464 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.464 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.464 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.464 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.464 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.464 * [misc]taylor: Taking taylor expansion of k in k 1554299844.465 * [misc]backup-simplify: Simplify 0 into 0 1554299844.465 * [misc]backup-simplify: Simplify 1 into 1 1554299844.465 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.465 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.465 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.465 * [misc]backup-simplify: Simplify PI into PI 1554299844.465 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.465 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.465 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.466 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.466 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299844.466 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.466 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.466 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554299844.467 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554299844.467 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.467 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.467 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.467 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.467 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.467 * [misc]taylor: Taking taylor expansion of k in k 1554299844.467 * [misc]backup-simplify: Simplify 0 into 0 1554299844.467 * [misc]backup-simplify: Simplify 1 into 1 1554299844.467 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.467 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.467 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.467 * [misc]backup-simplify: Simplify PI into PI 1554299844.467 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.467 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.468 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.468 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.468 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299844.469 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.469 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.469 * [misc]backup-simplify: Simplify 0 into 0 1554299844.469 * [misc]backup-simplify: Simplify 0 into 0 1554299844.469 * [misc]backup-simplify: Simplify 0 into 0 1554299844.469 * [misc]backup-simplify: Simplify 0 into 0 1554299844.469 * [misc]backup-simplify: Simplify 0 into 0 1554299844.469 * [misc]backup-simplify: Simplify 0 into 0 1554299844.469 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1554299844.469 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.469 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1554299844.469 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.469 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554299844.470 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554299844.470 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.470 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.470 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.470 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.470 * [misc]taylor: Taking taylor expansion of k in k 1554299844.470 * [misc]backup-simplify: Simplify 0 into 0 1554299844.470 * [misc]backup-simplify: Simplify 1 into 1 1554299844.470 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.470 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.470 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.470 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.470 * [misc]backup-simplify: Simplify PI into PI 1554299844.470 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.471 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.471 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.471 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.472 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.472 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of k in k 1554299844.472 * [misc]backup-simplify: Simplify 0 into 0 1554299844.472 * [misc]backup-simplify: Simplify 1 into 1 1554299844.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.472 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.472 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.472 * [misc]backup-simplify: Simplify PI into PI 1554299844.472 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.473 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.473 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.473 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.474 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.474 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.474 * [misc]backup-simplify: Simplify 0 into 0 1554299844.474 * [misc]backup-simplify: Simplify 0 into 0 1554299844.474 * [misc]backup-simplify: Simplify 0 into 0 1554299844.474 * [misc]backup-simplify: Simplify 0 into 0 1554299844.474 * [misc]backup-simplify: Simplify 0 into 0 1554299844.474 * [misc]backup-simplify: Simplify 0 into 0 1554299844.474 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1554299844.474 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1554299844.474 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1554299844.474 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1554299844.474 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.475 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.475 * [misc]taylor: Taking taylor expansion of k in k 1554299844.475 * [misc]backup-simplify: Simplify 0 into 0 1554299844.475 * [misc]backup-simplify: Simplify 1 into 1 1554299844.475 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554299844.475 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.475 * [misc]backup-simplify: Simplify 2 into 2 1554299844.475 * [misc]taylor: Taking taylor expansion of n in k 1554299844.475 * [misc]backup-simplify: Simplify n into n 1554299844.475 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554299844.475 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554299844.475 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.475 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.476 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.476 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554299844.476 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554299844.476 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.476 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.476 * [misc]taylor: Taking taylor expansion of k in n 1554299844.476 * [misc]backup-simplify: Simplify k into k 1554299844.476 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299844.476 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.476 * [misc]backup-simplify: Simplify 2 into 2 1554299844.476 * [misc]taylor: Taking taylor expansion of n in n 1554299844.476 * [misc]backup-simplify: Simplify 0 into 0 1554299844.476 * [misc]backup-simplify: Simplify 1 into 1 1554299844.476 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299844.477 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299844.477 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.477 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299844.477 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299844.477 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299844.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.478 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299844.478 * [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)))) 1554299844.478 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.478 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.478 * [misc]taylor: Taking taylor expansion of k in n 1554299844.478 * [misc]backup-simplify: Simplify k into k 1554299844.478 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299844.478 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.478 * [misc]backup-simplify: Simplify 2 into 2 1554299844.478 * [misc]taylor: Taking taylor expansion of n in n 1554299844.478 * [misc]backup-simplify: Simplify 0 into 0 1554299844.478 * [misc]backup-simplify: Simplify 1 into 1 1554299844.479 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299844.479 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299844.479 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.479 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299844.479 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299844.479 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299844.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.480 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299844.480 * [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)))) 1554299844.480 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554299844.480 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554299844.480 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554299844.480 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299844.480 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.480 * [misc]backup-simplify: Simplify 2 into 2 1554299844.481 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.481 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299844.481 * [misc]taylor: Taking taylor expansion of n in k 1554299844.481 * [misc]backup-simplify: Simplify n into n 1554299844.481 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299844.481 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.481 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.481 * [misc]taylor: Taking taylor expansion of k in k 1554299844.481 * [misc]backup-simplify: Simplify 0 into 0 1554299844.481 * [misc]backup-simplify: Simplify 1 into 1 1554299844.481 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554299844.481 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.481 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.482 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.482 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554299844.482 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299844.482 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299844.483 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.485 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299844.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299844.486 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.486 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.486 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554299844.488 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.488 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.488 * [misc]backup-simplify: Simplify 0 into 0 1554299844.488 * [misc]backup-simplify: Simplify 0 into 0 1554299844.488 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299844.488 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.488 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.491 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299844.491 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299844.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.492 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554299844.493 * [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))))) 1554299844.493 * [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))))) 1554299844.494 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299844.498 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299844.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299844.499 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.499 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.499 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.500 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554299844.502 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299844.502 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.502 * [misc]backup-simplify: Simplify 0 into 0 1554299844.502 * [misc]backup-simplify: Simplify 0 into 0 1554299844.502 * [misc]backup-simplify: Simplify 0 into 0 1554299844.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.502 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.502 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.506 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299844.508 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299844.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.508 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554299844.510 * [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))))) 1554299844.512 * [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))))) 1554299844.514 * [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))))) 1554299844.514 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.515 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554299844.515 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of k in k 1554299844.515 * [misc]backup-simplify: Simplify 0 into 0 1554299844.515 * [misc]backup-simplify: Simplify 1 into 1 1554299844.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.515 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554299844.515 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.515 * [misc]backup-simplify: Simplify 2 into 2 1554299844.515 * [misc]taylor: Taking taylor expansion of n in k 1554299844.515 * [misc]backup-simplify: Simplify n into n 1554299844.515 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554299844.515 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554299844.516 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.516 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.516 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.516 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554299844.516 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.516 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of k in n 1554299844.516 * [misc]backup-simplify: Simplify k into k 1554299844.516 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.516 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299844.516 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299844.517 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.517 * [misc]backup-simplify: Simplify 2 into 2 1554299844.517 * [misc]taylor: Taking taylor expansion of n in n 1554299844.517 * [misc]backup-simplify: Simplify 0 into 0 1554299844.517 * [misc]backup-simplify: Simplify 1 into 1 1554299844.517 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299844.517 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.517 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.517 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299844.517 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299844.518 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.518 * [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))) 1554299844.518 * [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)))) 1554299844.518 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299844.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299844.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299844.518 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299844.518 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.518 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.518 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.518 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.518 * [misc]taylor: Taking taylor expansion of k in n 1554299844.519 * [misc]backup-simplify: Simplify k into k 1554299844.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.519 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299844.519 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299844.519 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.519 * [misc]backup-simplify: Simplify 2 into 2 1554299844.519 * [misc]taylor: Taking taylor expansion of n in n 1554299844.519 * [misc]backup-simplify: Simplify 0 into 0 1554299844.519 * [misc]backup-simplify: Simplify 1 into 1 1554299844.519 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299844.519 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.519 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.519 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299844.519 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299844.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.520 * [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))) 1554299844.520 * [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)))) 1554299844.520 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554299844.520 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554299844.520 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.520 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.521 * [misc]taylor: Taking taylor expansion of k in k 1554299844.521 * [misc]backup-simplify: Simplify 0 into 0 1554299844.521 * [misc]backup-simplify: Simplify 1 into 1 1554299844.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.521 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554299844.521 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299844.521 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.521 * [misc]backup-simplify: Simplify 2 into 2 1554299844.521 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.521 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299844.521 * [misc]taylor: Taking taylor expansion of n in k 1554299844.521 * [misc]backup-simplify: Simplify n into n 1554299844.521 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299844.521 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.521 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.522 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.522 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299844.522 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554299844.522 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554299844.522 * [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)))) 1554299844.523 * [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)))) 1554299844.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554299844.525 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299844.525 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.526 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299844.526 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.526 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.527 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554299844.528 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.528 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.528 * [misc]backup-simplify: Simplify 0 into 0 1554299844.528 * [misc]backup-simplify: Simplify 0 into 0 1554299844.528 * [misc]backup-simplify: Simplify 0 into 0 1554299844.528 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.532 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299844.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299844.533 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.534 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.534 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554299844.536 * [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 1554299844.536 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.536 * [misc]backup-simplify: Simplify 0 into 0 1554299844.536 * [misc]backup-simplify: Simplify 0 into 0 1554299844.536 * [misc]backup-simplify: Simplify 0 into 0 1554299844.536 * [misc]backup-simplify: Simplify 0 into 0 1554299844.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.543 * [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 1554299844.544 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299844.544 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.545 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.545 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554299844.548 * [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 1554299844.549 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.549 * [misc]backup-simplify: Simplify 0 into 0 1554299844.549 * [misc]backup-simplify: Simplify 0 into 0 1554299844.549 * [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)))) 1554299844.549 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.549 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554299844.549 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.549 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554299844.549 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554299844.549 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.549 * [misc]taylor: Taking taylor expansion of k in k 1554299844.550 * [misc]backup-simplify: Simplify 0 into 0 1554299844.550 * [misc]backup-simplify: Simplify 1 into 1 1554299844.550 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.550 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554299844.550 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554299844.550 * [misc]taylor: Taking taylor expansion of -2 in k 1554299844.550 * [misc]backup-simplify: Simplify -2 into -2 1554299844.550 * [misc]taylor: Taking taylor expansion of n in k 1554299844.550 * [misc]backup-simplify: Simplify n into n 1554299844.550 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554299844.550 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554299844.550 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.550 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.550 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554299844.551 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.551 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of k in n 1554299844.551 * [misc]backup-simplify: Simplify k into k 1554299844.551 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.551 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299844.551 * [misc]taylor: Taking taylor expansion of -2 in n 1554299844.551 * [misc]backup-simplify: Simplify -2 into -2 1554299844.551 * [misc]taylor: Taking taylor expansion of n in n 1554299844.551 * [misc]backup-simplify: Simplify 0 into 0 1554299844.551 * [misc]backup-simplify: Simplify 1 into 1 1554299844.551 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299844.551 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299844.552 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.552 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299844.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.552 * [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))) 1554299844.553 * [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)))) 1554299844.553 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of k in n 1554299844.553 * [misc]backup-simplify: Simplify k into k 1554299844.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.553 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299844.553 * [misc]taylor: Taking taylor expansion of -2 in n 1554299844.553 * [misc]backup-simplify: Simplify -2 into -2 1554299844.553 * [misc]taylor: Taking taylor expansion of n in n 1554299844.553 * [misc]backup-simplify: Simplify 0 into 0 1554299844.553 * [misc]backup-simplify: Simplify 1 into 1 1554299844.553 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299844.553 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299844.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.554 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299844.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.554 * [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))) 1554299844.555 * [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)))) 1554299844.555 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of k in k 1554299844.555 * [misc]backup-simplify: Simplify 0 into 0 1554299844.555 * [misc]backup-simplify: Simplify 1 into 1 1554299844.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.555 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of -2 in k 1554299844.555 * [misc]backup-simplify: Simplify -2 into -2 1554299844.555 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299844.555 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299844.555 * [misc]taylor: Taking taylor expansion of n in k 1554299844.555 * [misc]backup-simplify: Simplify n into n 1554299844.555 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299844.556 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.556 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.556 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299844.556 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554299844.556 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554299844.557 * [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)))) 1554299844.557 * [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)))) 1554299844.557 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554299844.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554299844.560 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.560 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299844.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.560 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.561 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554299844.562 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.562 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.562 * [misc]backup-simplify: Simplify 0 into 0 1554299844.562 * [misc]backup-simplify: Simplify 0 into 0 1554299844.562 * [misc]backup-simplify: Simplify 0 into 0 1554299844.562 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.566 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554299844.567 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299844.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.568 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554299844.570 * [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 1554299844.570 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.570 * [misc]backup-simplify: Simplify 0 into 0 1554299844.570 * [misc]backup-simplify: Simplify 0 into 0 1554299844.571 * [misc]backup-simplify: Simplify 0 into 0 1554299844.571 * [misc]backup-simplify: Simplify 0 into 0 1554299844.571 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.577 * [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 1554299844.577 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299844.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.578 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.579 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1554299844.582 * [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 1554299844.582 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.582 * [misc]backup-simplify: Simplify 0 into 0 1554299844.582 * [misc]backup-simplify: Simplify 0 into 0 1554299844.582 * [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))))) 1554299844.582 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1554299844.582 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) into (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) 1554299844.582 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1554299844.582 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.582 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.582 * [misc]taylor: Taking taylor expansion of k in k 1554299844.582 * [misc]backup-simplify: Simplify 0 into 0 1554299844.582 * [misc]backup-simplify: Simplify 1 into 1 1554299844.582 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.582 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.582 * [misc]backup-simplify: Simplify PI into PI 1554299844.583 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.583 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.583 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.583 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.583 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.584 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554299844.584 * [misc]backup-simplify: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI)) 1554299844.584 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299844.584 * [misc]taylor: Taking taylor expansion of k in k 1554299844.584 * [misc]backup-simplify: Simplify 0 into 0 1554299844.584 * [misc]backup-simplify: Simplify 1 into 1 1554299844.584 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.584 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.584 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1554299844.584 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 k)))) in k 1554299844.584 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554299844.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554299844.584 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554299844.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.585 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.585 * [misc]taylor: Taking taylor expansion of k in k 1554299844.585 * [misc]backup-simplify: Simplify 0 into 0 1554299844.585 * [misc]backup-simplify: Simplify 1 into 1 1554299844.585 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.585 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.585 * [misc]backup-simplify: Simplify PI into PI 1554299844.585 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.585 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.585 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.585 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.585 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.586 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554299844.586 * [misc]backup-simplify: Simplify (/ 1 (pow PI 1/2)) into (sqrt (/ 1 PI)) 1554299844.586 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299844.586 * [misc]taylor: Taking taylor expansion of k in k 1554299844.586 * [misc]backup-simplify: Simplify 0 into 0 1554299844.586 * [misc]backup-simplify: Simplify 1 into 1 1554299844.586 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.587 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.587 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 PI)) 0) into 0 1554299844.587 * [misc]backup-simplify: Simplify 0 into 0 1554299844.588 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299844.589 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299844.589 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.589 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.589 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554299844.591 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554299844.593 * [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)))) 1554299844.595 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 PI)) +nan.0) (* (* 1/2 (* (log PI) (sqrt (/ 1 PI)))) 0)) into (- (* +nan.0 (sqrt (/ 1 PI)))) 1554299844.595 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (/ 1 PI)))) into (- (* +nan.0 (sqrt (/ 1 PI)))) 1554299844.596 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299844.600 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299844.600 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.600 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554299844.603 * [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))) 1554299844.607 * [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)))) 1554299844.612 * [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)))))) 1554299844.615 * [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)))))) 1554299844.616 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299844.623 * [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 1554299844.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299844.624 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554299844.632 * [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))) 1554299844.645 * [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)))) 1554299844.654 * [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)))))))) 1554299844.660 * [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)))))))) 1554299844.672 * [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)))))))))))))) 1554299844.672 * [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))) 1554299844.672 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1554299844.672 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.672 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.672 * [misc]taylor: Taking taylor expansion of k in k 1554299844.672 * [misc]backup-simplify: Simplify 0 into 0 1554299844.672 * [misc]backup-simplify: Simplify 1 into 1 1554299844.673 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.673 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.673 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.673 * [misc]backup-simplify: Simplify PI into PI 1554299844.673 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.673 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.673 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.674 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.674 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299844.674 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.675 * [misc]backup-simplify: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1554299844.675 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299844.675 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.675 * [misc]taylor: Taking taylor expansion of k in k 1554299844.675 * [misc]backup-simplify: Simplify 0 into 0 1554299844.675 * [misc]backup-simplify: Simplify 1 into 1 1554299844.675 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.675 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.675 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.675 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1554299844.675 * [misc]taylor: Taking taylor expansion of (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299844.675 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.676 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.676 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of k in k 1554299844.676 * [misc]backup-simplify: Simplify 0 into 0 1554299844.676 * [misc]backup-simplify: Simplify 1 into 1 1554299844.676 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.676 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.676 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.676 * [misc]backup-simplify: Simplify PI into PI 1554299844.676 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.676 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.677 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.677 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.677 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299844.678 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.678 * [misc]backup-simplify: Simplify (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1554299844.678 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299844.678 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.678 * [misc]taylor: Taking taylor expansion of k in k 1554299844.678 * [misc]backup-simplify: Simplify 0 into 0 1554299844.678 * [misc]backup-simplify: Simplify 1 into 1 1554299844.678 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.679 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.679 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1554299844.679 * [misc]backup-simplify: Simplify 0 into 0 1554299844.679 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1554299844.679 * [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))))))) 1554299844.680 * [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))))))) 1554299844.680 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554299844.681 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299844.681 * [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 1554299844.682 * [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))))))) 1554299844.682 * [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))))))) 1554299844.682 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.683 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299844.684 * [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 1554299844.685 * [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))))))) 1554299844.685 * [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))))))) 1554299844.686 * [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))))))))) 1554299844.686 * [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))) 1554299844.686 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1554299844.686 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554299844.686 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299844.686 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299844.686 * [misc]taylor: Taking taylor expansion of -1 in k 1554299844.686 * [misc]backup-simplify: Simplify -1 into -1 1554299844.686 * [misc]taylor: Taking taylor expansion of k in k 1554299844.686 * [misc]backup-simplify: Simplify 0 into 0 1554299844.686 * [misc]backup-simplify: Simplify 1 into 1 1554299844.687 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299844.687 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.688 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299844.688 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of k in k 1554299844.688 * [misc]backup-simplify: Simplify 0 into 0 1554299844.688 * [misc]backup-simplify: Simplify 1 into 1 1554299844.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.688 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.688 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.688 * [misc]backup-simplify: Simplify PI into PI 1554299844.689 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.689 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.689 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.690 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.690 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.690 * [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))) 1554299844.690 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554299844.690 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299844.690 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299844.690 * [misc]taylor: Taking taylor expansion of -1 in k 1554299844.690 * [misc]backup-simplify: Simplify -1 into -1 1554299844.690 * [misc]taylor: Taking taylor expansion of k in k 1554299844.690 * [misc]backup-simplify: Simplify 0 into 0 1554299844.690 * [misc]backup-simplify: Simplify 1 into 1 1554299844.691 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299844.691 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.691 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299844.691 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.691 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554299844.691 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554299844.691 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.691 * [misc]taylor: Taking taylor expansion of k in k 1554299844.692 * [misc]backup-simplify: Simplify 0 into 0 1554299844.692 * [misc]backup-simplify: Simplify 1 into 1 1554299844.692 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.692 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.692 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.692 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.692 * [misc]backup-simplify: Simplify PI into PI 1554299844.692 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.692 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.692 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.693 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.693 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.693 * [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))) 1554299844.694 * [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))) 1554299844.694 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554299844.695 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299844.696 * [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))))) 1554299844.696 * [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))))) 1554299844.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.697 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299844.698 * [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))))) 1554299844.698 * [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))))) 1554299844.699 * [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))))))))) 1554299844.699 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1554299844.699 * [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))) 1554299844.699 * [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 1554299844.700 * [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 1554299844.700 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.700 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.700 * [misc]taylor: Taking taylor expansion of k in k 1554299844.700 * [misc]backup-simplify: Simplify 0 into 0 1554299844.700 * [misc]backup-simplify: Simplify 1 into 1 1554299844.700 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554299844.700 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.700 * [misc]backup-simplify: Simplify 2 into 2 1554299844.700 * [misc]taylor: Taking taylor expansion of n in k 1554299844.700 * [misc]backup-simplify: Simplify n into n 1554299844.700 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554299844.700 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554299844.700 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.701 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.701 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.701 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554299844.701 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554299844.701 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554299844.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554299844.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554299844.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.701 * [misc]taylor: Taking taylor expansion of k in k 1554299844.701 * [misc]backup-simplify: Simplify 0 into 0 1554299844.701 * [misc]backup-simplify: Simplify 1 into 1 1554299844.701 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.701 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.701 * [misc]backup-simplify: Simplify PI into PI 1554299844.702 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.702 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.702 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.702 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.703 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.703 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554299844.703 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299844.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.704 * [misc]taylor: Taking taylor expansion of k in k 1554299844.704 * [misc]backup-simplify: Simplify 0 into 0 1554299844.704 * [misc]backup-simplify: Simplify 1 into 1 1554299844.704 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.704 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.704 * [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 1554299844.704 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1554299844.704 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.705 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.705 * [misc]taylor: Taking taylor expansion of k in n 1554299844.705 * [misc]backup-simplify: Simplify k into k 1554299844.705 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299844.705 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.705 * [misc]backup-simplify: Simplify 2 into 2 1554299844.705 * [misc]taylor: Taking taylor expansion of n in n 1554299844.705 * [misc]backup-simplify: Simplify 0 into 0 1554299844.705 * [misc]backup-simplify: Simplify 1 into 1 1554299844.705 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299844.705 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299844.706 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.706 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299844.706 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299844.706 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299844.706 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.707 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299844.707 * [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)))) 1554299844.707 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1554299844.707 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1554299844.707 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1554299844.707 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299844.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.707 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299844.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.707 * [misc]taylor: Taking taylor expansion of k in n 1554299844.707 * [misc]backup-simplify: Simplify k into k 1554299844.707 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299844.707 * [misc]taylor: Taking taylor expansion of PI in n 1554299844.707 * [misc]backup-simplify: Simplify PI into PI 1554299844.708 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.708 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299844.708 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299844.708 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299844.708 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1554299844.708 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1554299844.708 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of k in n 1554299844.709 * [misc]backup-simplify: Simplify k into k 1554299844.709 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.709 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554299844.709 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.709 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554299844.709 * [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 1554299844.709 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.709 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.709 * [misc]taylor: Taking taylor expansion of k in n 1554299844.709 * [misc]backup-simplify: Simplify k into k 1554299844.709 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299844.709 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.709 * [misc]backup-simplify: Simplify 2 into 2 1554299844.709 * [misc]taylor: Taking taylor expansion of n in n 1554299844.709 * [misc]backup-simplify: Simplify 0 into 0 1554299844.709 * [misc]backup-simplify: Simplify 1 into 1 1554299844.710 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299844.710 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299844.710 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.710 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299844.710 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299844.710 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299844.711 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.711 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299844.711 * [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)))) 1554299844.711 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1554299844.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1554299844.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1554299844.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299844.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.711 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299844.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.711 * [misc]taylor: Taking taylor expansion of k in n 1554299844.711 * [misc]backup-simplify: Simplify k into k 1554299844.711 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299844.711 * [misc]taylor: Taking taylor expansion of PI in n 1554299844.712 * [misc]backup-simplify: Simplify PI into PI 1554299844.712 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.712 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299844.712 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299844.712 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299844.712 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1554299844.713 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1554299844.713 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1554299844.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.713 * [misc]taylor: Taking taylor expansion of k in n 1554299844.713 * [misc]backup-simplify: Simplify k into k 1554299844.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.713 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1554299844.713 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1554299844.714 * [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)))) 1554299844.714 * [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))))) 1554299844.714 * [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 1554299844.714 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1554299844.714 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.714 * [misc]taylor: Taking taylor expansion of k in k 1554299844.714 * [misc]backup-simplify: Simplify 0 into 0 1554299844.714 * [misc]backup-simplify: Simplify 1 into 1 1554299844.714 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.715 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.715 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.715 * [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 1554299844.715 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554299844.715 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554299844.715 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554299844.715 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299844.715 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.715 * [misc]backup-simplify: Simplify 2 into 2 1554299844.715 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.715 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299844.715 * [misc]taylor: Taking taylor expansion of n in k 1554299844.715 * [misc]backup-simplify: Simplify n into n 1554299844.716 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299844.716 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.716 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.716 * [misc]taylor: Taking taylor expansion of k in k 1554299844.716 * [misc]backup-simplify: Simplify 0 into 0 1554299844.716 * [misc]backup-simplify: Simplify 1 into 1 1554299844.716 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554299844.716 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.716 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.717 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.717 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554299844.717 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299844.717 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1554299844.717 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1554299844.717 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1554299844.717 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299844.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.717 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299844.717 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.717 * [misc]taylor: Taking taylor expansion of k in k 1554299844.717 * [misc]backup-simplify: Simplify 0 into 0 1554299844.717 * [misc]backup-simplify: Simplify 1 into 1 1554299844.717 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.717 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.717 * [misc]backup-simplify: Simplify PI into PI 1554299844.718 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.718 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299844.718 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.718 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.719 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.719 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1554299844.720 * [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)) 1554299844.720 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0 1554299844.721 * [misc]backup-simplify: Simplify 0 into 0 1554299844.723 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299844.723 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299844.724 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.724 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0 1554299844.726 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.726 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.728 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299844.728 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299844.728 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.728 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.729 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.729 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554299844.730 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.731 * [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 1554299844.731 * [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 1554299844.731 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.731 * [misc]backup-simplify: Simplify 0 into 0 1554299844.734 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299844.734 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299844.734 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.734 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554299844.738 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1554299844.739 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299844.739 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.739 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.741 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299844.742 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299844.742 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.742 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554299844.743 * [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))))) 1554299844.745 * [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)))))) 1554299844.749 * [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)))) 1554299844.750 * [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)))) 1554299844.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.751 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1554299844.755 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299844.756 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299844.756 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.757 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554299844.759 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299844.759 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299844.763 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299844.764 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299844.764 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.764 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.765 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.765 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554299844.767 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299844.768 * [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 1554299844.768 * [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 1554299844.768 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.768 * [misc]backup-simplify: Simplify 0 into 0 1554299844.768 * [misc]backup-simplify: Simplify 0 into 0 1554299844.773 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299844.774 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.774 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1554299844.779 * [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))) 1554299844.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299844.780 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.784 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299844.786 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299844.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.786 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554299844.788 * [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))))) 1554299844.793 * [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)))))))) 1554299844.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1554299844.795 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299844.804 * [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)))))))))) 1554299844.807 * [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)))))))))) 1554299844.807 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.808 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1554299844.815 * [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 1554299844.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554299844.816 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.817 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554299844.821 * [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 1554299844.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1554299844.828 * [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 1554299844.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554299844.828 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.829 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299844.830 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1554299844.833 * [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 1554299844.834 * [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 1554299844.835 * [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 1554299844.835 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.835 * [misc]backup-simplify: Simplify 0 into 0 1554299844.835 * [misc]backup-simplify: Simplify 0 into 0 1554299844.835 * [misc]backup-simplify: Simplify 0 into 0 1554299844.842 * [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 1554299844.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299844.843 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554299844.851 * [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))) 1554299844.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299844.852 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.858 * [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 1554299844.861 * [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 1554299844.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.862 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1554299844.864 * [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)))))) 1554299844.870 * [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))))))))))))) 1554299844.871 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.872 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299844.888 * [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)))))))))))))))))))))) 1554299844.900 * [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)))))))))))))))))))))) 1554299844.921 * [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)))))))))))))))))))))))))))))))) 1554299844.921 * [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)) 1554299844.921 * [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 1554299844.921 * [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 1554299844.921 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299844.921 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.921 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554299844.921 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554299844.921 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.922 * [misc]taylor: Taking taylor expansion of k in k 1554299844.922 * [misc]backup-simplify: Simplify 0 into 0 1554299844.922 * [misc]backup-simplify: Simplify 1 into 1 1554299844.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.922 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.922 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.922 * [misc]backup-simplify: Simplify PI into PI 1554299844.922 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.922 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.922 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.923 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.923 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299844.923 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.923 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of k in k 1554299844.923 * [misc]backup-simplify: Simplify 0 into 0 1554299844.923 * [misc]backup-simplify: Simplify 1 into 1 1554299844.923 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.923 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554299844.923 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.923 * [misc]backup-simplify: Simplify 2 into 2 1554299844.923 * [misc]taylor: Taking taylor expansion of n in k 1554299844.923 * [misc]backup-simplify: Simplify n into n 1554299844.924 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554299844.924 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554299844.924 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.924 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.924 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.924 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554299844.924 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.924 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299844.924 * [misc]taylor: Taking taylor expansion of k in k 1554299844.924 * [misc]backup-simplify: Simplify 0 into 0 1554299844.924 * [misc]backup-simplify: Simplify 1 into 1 1554299844.924 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.925 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.925 * [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 1554299844.925 * [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 1554299844.925 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.925 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.925 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of k in n 1554299844.925 * [misc]backup-simplify: Simplify k into k 1554299844.925 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.925 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299844.925 * [misc]taylor: Taking taylor expansion of PI in n 1554299844.925 * [misc]backup-simplify: Simplify PI into PI 1554299844.925 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.925 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.925 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299844.925 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299844.925 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1554299844.926 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.926 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of k in n 1554299844.926 * [misc]backup-simplify: Simplify k into k 1554299844.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.926 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299844.926 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.926 * [misc]backup-simplify: Simplify 2 into 2 1554299844.926 * [misc]taylor: Taking taylor expansion of n in n 1554299844.926 * [misc]backup-simplify: Simplify 0 into 0 1554299844.926 * [misc]backup-simplify: Simplify 1 into 1 1554299844.926 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299844.926 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.926 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.926 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299844.926 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299844.927 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.927 * [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))) 1554299844.927 * [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)))) 1554299844.927 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of k in n 1554299844.927 * [misc]backup-simplify: Simplify k into k 1554299844.927 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554299844.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554299844.927 * [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 1554299844.927 * [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 1554299844.927 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.927 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of k in n 1554299844.927 * [misc]backup-simplify: Simplify k into k 1554299844.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.927 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299844.927 * [misc]taylor: Taking taylor expansion of PI in n 1554299844.927 * [misc]backup-simplify: Simplify PI into PI 1554299844.928 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.928 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.928 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299844.928 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299844.928 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1554299844.928 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.928 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of k in n 1554299844.928 * [misc]backup-simplify: Simplify k into k 1554299844.928 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.928 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299844.928 * [misc]taylor: Taking taylor expansion of 2 in n 1554299844.929 * [misc]backup-simplify: Simplify 2 into 2 1554299844.929 * [misc]taylor: Taking taylor expansion of n in n 1554299844.929 * [misc]backup-simplify: Simplify 0 into 0 1554299844.929 * [misc]backup-simplify: Simplify 1 into 1 1554299844.929 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299844.929 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.929 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.929 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299844.929 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299844.929 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.929 * [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))) 1554299844.930 * [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)))) 1554299844.930 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1554299844.930 * [misc]taylor: Taking taylor expansion of k in n 1554299844.930 * [misc]backup-simplify: Simplify k into k 1554299844.930 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1554299844.930 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1554299844.930 * [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))))) 1554299844.930 * [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)))))) 1554299844.930 * [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 1554299844.930 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1554299844.930 * [misc]taylor: Taking taylor expansion of k in k 1554299844.930 * [misc]backup-simplify: Simplify 0 into 0 1554299844.930 * [misc]backup-simplify: Simplify 1 into 1 1554299844.930 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.931 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1554299844.931 * [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 1554299844.931 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of k in k 1554299844.931 * [misc]backup-simplify: Simplify 0 into 0 1554299844.931 * [misc]backup-simplify: Simplify 1 into 1 1554299844.931 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.931 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.931 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.931 * [misc]backup-simplify: Simplify PI into PI 1554299844.931 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.931 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.932 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.932 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.932 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299844.932 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1554299844.932 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554299844.932 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554299844.932 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299844.932 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.933 * [misc]taylor: Taking taylor expansion of k in k 1554299844.933 * [misc]backup-simplify: Simplify 0 into 0 1554299844.933 * [misc]backup-simplify: Simplify 1 into 1 1554299844.933 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.933 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554299844.933 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299844.933 * [misc]taylor: Taking taylor expansion of 2 in k 1554299844.933 * [misc]backup-simplify: Simplify 2 into 2 1554299844.933 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299844.933 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299844.933 * [misc]taylor: Taking taylor expansion of n in k 1554299844.933 * [misc]backup-simplify: Simplify n into n 1554299844.933 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299844.933 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.933 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299844.933 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299844.933 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299844.933 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554299844.934 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554299844.934 * [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)))) 1554299844.934 * [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))))) 1554299844.934 * [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 1554299844.934 * [misc]backup-simplify: Simplify 0 into 0 1554299844.935 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554299844.936 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299844.936 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299844.936 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.937 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554299844.937 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.939 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299844.939 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299844.939 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.939 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.940 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1554299844.940 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299844.941 * [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 1554299844.941 * [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 1554299844.941 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.941 * [misc]backup-simplify: Simplify 0 into 0 1554299844.941 * [misc]backup-simplify: Simplify 0 into 0 1554299844.941 * [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 1554299844.942 * [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))))))) 1554299844.942 * [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))))))) 1554299844.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1554299844.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.945 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299844.945 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.945 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299844.945 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.946 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.946 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.946 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554299844.947 * [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 1554299844.950 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299844.950 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.950 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299844.950 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.951 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554299844.952 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299844.953 * [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 1554299844.953 * [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 1554299844.953 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.953 * [misc]backup-simplify: Simplify 0 into 0 1554299844.953 * [misc]backup-simplify: Simplify 0 into 0 1554299844.953 * [misc]backup-simplify: Simplify 0 into 0 1554299844.953 * [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 1554299844.954 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299844.955 * [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))))))) 1554299844.955 * [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))))))) 1554299844.955 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1554299844.955 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299844.959 * [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 1554299844.959 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.960 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299844.960 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.960 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299844.960 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554299844.962 * [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 1554299844.966 * [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 1554299844.966 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299844.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299844.967 * [misc]backup-simplify: Simplify (- 0) into 0 1554299844.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.968 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554299844.970 * [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 1554299844.970 * [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 1554299844.971 * [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 1554299844.971 * [misc]taylor: Taking taylor expansion of 0 in k 1554299844.971 * [misc]backup-simplify: Simplify 0 into 0 1554299844.971 * [misc]backup-simplify: Simplify 0 into 0 1554299844.971 * [misc]backup-simplify: Simplify 0 into 0 1554299844.971 * [misc]backup-simplify: Simplify 0 into 0 1554299844.971 * [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 1554299844.972 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299844.973 * [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))))))) 1554299844.973 * [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))))))) 1554299844.974 * [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)))))))) 1554299844.975 * [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))) 1554299844.975 * [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 1554299844.975 * [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 1554299844.975 * [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 1554299844.975 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of k in k 1554299844.975 * [misc]backup-simplify: Simplify 0 into 0 1554299844.975 * [misc]backup-simplify: Simplify 1 into 1 1554299844.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.975 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554299844.975 * [misc]taylor: Taking taylor expansion of -2 in k 1554299844.975 * [misc]backup-simplify: Simplify -2 into -2 1554299844.975 * [misc]taylor: Taking taylor expansion of n in k 1554299844.975 * [misc]backup-simplify: Simplify n into n 1554299844.975 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554299844.975 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554299844.975 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.975 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.976 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554299844.976 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.976 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of k in k 1554299844.976 * [misc]backup-simplify: Simplify 0 into 0 1554299844.976 * [misc]backup-simplify: Simplify 1 into 1 1554299844.976 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.976 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.976 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.976 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.976 * [misc]backup-simplify: Simplify PI into PI 1554299844.976 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.977 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.977 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.977 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.977 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.977 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299844.977 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299844.977 * [misc]taylor: Taking taylor expansion of -1 in k 1554299844.977 * [misc]backup-simplify: Simplify -1 into -1 1554299844.977 * [misc]taylor: Taking taylor expansion of k in k 1554299844.977 * [misc]backup-simplify: Simplify 0 into 0 1554299844.977 * [misc]backup-simplify: Simplify 1 into 1 1554299844.977 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299844.978 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.978 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299844.978 * [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))) 1554299844.978 * [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)))) 1554299844.978 * [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 1554299844.978 * [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 1554299844.978 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of k in n 1554299844.978 * [misc]backup-simplify: Simplify k into k 1554299844.978 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.978 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299844.978 * [misc]taylor: Taking taylor expansion of -2 in n 1554299844.978 * [misc]backup-simplify: Simplify -2 into -2 1554299844.978 * [misc]taylor: Taking taylor expansion of n in n 1554299844.978 * [misc]backup-simplify: Simplify 0 into 0 1554299844.979 * [misc]backup-simplify: Simplify 1 into 1 1554299844.979 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299844.979 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299844.979 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.979 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299844.979 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.979 * [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))) 1554299844.979 * [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)))) 1554299844.980 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.980 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of k in n 1554299844.980 * [misc]backup-simplify: Simplify k into k 1554299844.980 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.980 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299844.980 * [misc]taylor: Taking taylor expansion of PI in n 1554299844.980 * [misc]backup-simplify: Simplify PI into PI 1554299844.980 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.980 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.980 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299844.980 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1554299844.981 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.981 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299844.981 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299844.981 * [misc]taylor: Taking taylor expansion of -1 in n 1554299844.981 * [misc]backup-simplify: Simplify -1 into -1 1554299844.981 * [misc]taylor: Taking taylor expansion of k in n 1554299844.982 * [misc]backup-simplify: Simplify k into k 1554299844.982 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299844.982 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299844.982 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299844.982 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299844.983 * [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))) 1554299844.983 * [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))) 1554299844.983 * [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 1554299844.983 * [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 1554299844.983 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299844.983 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299844.983 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299844.983 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299844.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.983 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.983 * [misc]taylor: Taking taylor expansion of k in n 1554299844.984 * [misc]backup-simplify: Simplify k into k 1554299844.984 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.984 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299844.984 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299844.984 * [misc]taylor: Taking taylor expansion of -2 in n 1554299844.984 * [misc]backup-simplify: Simplify -2 into -2 1554299844.984 * [misc]taylor: Taking taylor expansion of n in n 1554299844.984 * [misc]backup-simplify: Simplify 0 into 0 1554299844.984 * [misc]backup-simplify: Simplify 1 into 1 1554299844.984 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299844.984 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299844.984 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.984 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299844.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299844.985 * [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))) 1554299844.985 * [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)))) 1554299844.985 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of k in n 1554299844.985 * [misc]backup-simplify: Simplify k into k 1554299844.985 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299844.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299844.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.985 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299844.985 * [misc]taylor: Taking taylor expansion of PI in n 1554299844.985 * [misc]backup-simplify: Simplify PI into PI 1554299844.986 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.986 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299844.986 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299844.986 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1554299844.987 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.987 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299844.987 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299844.987 * [misc]taylor: Taking taylor expansion of -1 in n 1554299844.987 * [misc]backup-simplify: Simplify -1 into -1 1554299844.987 * [misc]taylor: Taking taylor expansion of k in n 1554299844.987 * [misc]backup-simplify: Simplify k into k 1554299844.987 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299844.987 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299844.987 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299844.987 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299844.987 * [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))) 1554299844.988 * [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))) 1554299844.988 * [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 1554299844.988 * [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 1554299844.988 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554299844.988 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554299844.988 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.988 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.988 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.988 * [misc]taylor: Taking taylor expansion of k in k 1554299844.988 * [misc]backup-simplify: Simplify 0 into 0 1554299844.988 * [misc]backup-simplify: Simplify 1 into 1 1554299844.989 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.989 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.989 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554299844.989 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554299844.989 * [misc]taylor: Taking taylor expansion of -2 in k 1554299844.989 * [misc]backup-simplify: Simplify -2 into -2 1554299844.989 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299844.989 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299844.989 * [misc]taylor: Taking taylor expansion of n in k 1554299844.989 * [misc]backup-simplify: Simplify n into n 1554299844.989 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299844.989 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.990 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.990 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299844.990 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554299844.990 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554299844.990 * [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)))) 1554299844.990 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299844.990 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1554299844.990 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1554299844.990 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299844.991 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299844.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299844.991 * [misc]taylor: Taking taylor expansion of k in k 1554299844.991 * [misc]backup-simplify: Simplify 0 into 0 1554299844.991 * [misc]backup-simplify: Simplify 1 into 1 1554299844.991 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299844.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299844.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299844.991 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299844.991 * [misc]taylor: Taking taylor expansion of PI in k 1554299844.991 * [misc]backup-simplify: Simplify PI into PI 1554299844.991 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299844.991 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299844.992 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299844.992 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299844.992 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1554299844.992 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299844.993 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299844.993 * [misc]taylor: Taking taylor expansion of -1 in k 1554299844.993 * [misc]backup-simplify: Simplify -1 into -1 1554299844.993 * [misc]taylor: Taking taylor expansion of k in k 1554299844.993 * [misc]backup-simplify: Simplify 0 into 0 1554299844.993 * [misc]backup-simplify: Simplify 1 into 1 1554299844.993 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299844.993 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299844.993 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299844.994 * [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))) 1554299844.994 * [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)))) 1554299844.995 * [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)))) 1554299844.997 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299844.997 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299844.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299844.998 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299844.998 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1554299845.000 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299845.000 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554299845.002 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554299845.002 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299845.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299845.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299845.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299845.004 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554299845.005 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299845.006 * [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 1554299845.006 * [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 1554299845.006 * [misc]taylor: Taking taylor expansion of 0 in k 1554299845.006 * [misc]backup-simplify: Simplify 0 into 0 1554299845.006 * [misc]backup-simplify: Simplify 0 into 0 1554299845.007 * [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 1554299845.007 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554299845.008 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299845.009 * [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))))) 1554299845.009 * [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))))) 1554299845.014 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299845.014 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299845.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299845.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299845.015 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554299845.017 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299845.018 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299845.022 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554299845.022 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299845.023 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299845.023 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299845.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299845.024 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554299845.025 * [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 1554299845.026 * [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 1554299845.026 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299845.027 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554299845.028 * [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 1554299845.028 * [misc]taylor: Taking taylor expansion of 0 in k 1554299845.028 * [misc]backup-simplify: Simplify 0 into 0 1554299845.028 * [misc]backup-simplify: Simplify 0 into 0 1554299845.028 * [misc]backup-simplify: Simplify 0 into 0 1554299845.029 * [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 1554299845.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299845.030 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299845.032 * [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))))) 1554299845.032 * [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))))) 1554299845.034 * [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)))))))) 1554299845.035 * * * [misc]progress: simplifying candidates 1554299845.035 * * * * [misc]progress: [ 1 / 253 ] simplifiying candidate # 1554299845.035 * * * * [misc]progress: [ 2 / 253 ] simplifiying candidate # 1554299845.035 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554299845.035 * * [misc]simplify: iters left: 3 (5 enodes) 1554299845.038 * * [misc]simplify: iters left: 2 (15 enodes) 1554299845.043 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.043 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.044 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299845.044 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554299845.044 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554299845.044 * [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)))))) 1554299845.044 * * * * [misc]progress: [ 3 / 253 ] simplifiying candidate # 1554299845.044 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554299845.044 * * [misc]simplify: iters left: 5 (6 enodes) 1554299845.048 * * [misc]simplify: iters left: 4 (20 enodes) 1554299845.055 * * [misc]simplify: iters left: 3 (25 enodes) 1554299845.062 * * [misc]simplify: iters left: 2 (27 enodes) 1554299845.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.070 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299845.070 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299845.070 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299845.071 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299845.071 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299845.071 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554299845.071 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554299845.072 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554299845.072 * [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))))))) 1554299845.072 * * * * [misc]progress: [ 4 / 253 ] simplifiying candidate # 1554299845.072 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554299845.072 * * [misc]simplify: iters left: 5 (6 enodes) 1554299845.076 * * [misc]simplify: iters left: 4 (20 enodes) 1554299845.082 * * [misc]simplify: iters left: 3 (25 enodes) 1554299845.089 * * [misc]simplify: iters left: 2 (27 enodes) 1554299845.097 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.097 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299845.097 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299845.097 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299845.098 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299845.098 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299845.098 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554299845.098 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554299845.099 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554299845.099 * [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))))))) 1554299845.099 * * * * [misc]progress: [ 5 / 253 ] simplifiying candidate # 1554299845.099 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554299845.099 * * [misc]simplify: iters left: 4 (5 enodes) 1554299845.103 * * [misc]simplify: iters left: 3 (17 enodes) 1554299845.108 * * [misc]simplify: iters left: 2 (22 enodes) 1554299845.116 * * [misc]simplify: iters left: 1 (24 enodes) 1554299845.123 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.123 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299845.123 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299845.123 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554299845.124 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554299845.124 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554299845.124 * [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)))))) 1554299845.124 * * * * [misc]progress: [ 6 / 253 ] simplifiying candidate # 1554299845.125 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554299845.125 * * [misc]simplify: iters left: 5 (6 enodes) 1554299845.128 * * [misc]simplify: iters left: 4 (20 enodes) 1554299845.134 * * [misc]simplify: iters left: 3 (22 enodes) 1554299845.140 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.140 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.140 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299845.140 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554299845.140 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554299845.140 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554299845.141 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554299845.141 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554299845.141 * [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))))))) 1554299845.141 * * * * [misc]progress: [ 7 / 253 ] simplifiying candidate # 1554299845.141 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554299845.142 * * [misc]simplify: iters left: 5 (6 enodes) 1554299845.146 * * [misc]simplify: iters left: 4 (20 enodes) 1554299845.152 * * [misc]simplify: iters left: 3 (22 enodes) 1554299845.159 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.159 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.159 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299845.159 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554299845.159 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554299845.159 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554299845.160 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554299845.160 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554299845.160 * [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))))))) 1554299845.160 * * * * [misc]progress: [ 8 / 253 ] simplifiying candidate # 1554299845.160 * * * * [misc]progress: [ 9 / 253 ] simplifiying candidate # 1554299845.160 * * * * [misc]progress: [ 10 / 253 ] simplifiying candidate # 1554299845.160 * * * * [misc]progress: [ 11 / 253 ] simplifiying candidate # 1554299845.160 * * * * [misc]progress: [ 12 / 253 ] simplifiying candidate # 1554299845.160 * * * * [misc]progress: [ 13 / 253 ] simplifiying candidate # 1554299845.160 * * * * [misc]progress: [ 14 / 253 ] simplifiying candidate # 1554299845.161 * * * * [misc]progress: [ 15 / 253 ] simplifiying candidate #real (real->posit16 (pow PI (- 1/2 (/ k 2))))))))> 1554299845.161 * * * * [misc]progress: [ 16 / 253 ] simplifiying candidate # 1554299845.161 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1554299845.161 * * [misc]simplify: iters left: 6 (9 enodes) 1554299845.166 * * [misc]simplify: iters left: 5 (34 enodes) 1554299845.177 * * [misc]simplify: iters left: 4 (56 enodes) 1554299845.191 * * [misc]simplify: iters left: 3 (110 enodes) 1554299845.212 * * [misc]simplify: iters left: 2 (237 enodes) 1554299845.297 * * [misc]simplify: iters left: 1 (435 enodes) 1554299845.439 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.439 * * [misc]simplify: Extracting #1: cost 31 inf + 0 1554299845.440 * * [misc]simplify: Extracting #2: cost 79 inf + 0 1554299845.441 * * [misc]simplify: Extracting #3: cost 97 inf + 44 1554299845.442 * * [misc]simplify: Extracting #4: cost 59 inf + 4539 1554299845.448 * * [misc]simplify: Extracting #5: cost 17 inf + 13099 1554299845.456 * * [misc]simplify: Extracting #6: cost 0 inf + 17486 1554299845.467 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1554299845.467 * [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)))))) 1554299845.467 * * * * [misc]progress: [ 17 / 253 ] simplifiying candidate # 1554299845.467 * * * * [misc]progress: [ 18 / 253 ] simplifiying candidate # 1554299845.467 * [enter]simplify: Simplifying (* n 2) 1554299845.467 * * [misc]simplify: iters left: 2 (3 enodes) 1554299845.470 * * [misc]simplify: iters left: 1 (10 enodes) 1554299845.473 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.473 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.473 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1554299845.473 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1554299845.473 * [exit]simplify: Simplified to (* n 2) 1554299845.473 * [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)))))) 1554299845.473 * * * * [misc]progress: [ 19 / 253 ] simplifiying candidate # 1554299845.474 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1554299845.474 * * [misc]simplify: iters left: 3 (6 enodes) 1554299845.477 * * [misc]simplify: iters left: 2 (19 enodes) 1554299845.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.482 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.482 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299845.483 * * [misc]simplify: Extracting #3: cost 4 inf + 87 1554299845.483 * * [misc]simplify: Extracting #4: cost 0 inf + 757 1554299845.483 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1554299845.483 * [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)))))) 1554299845.483 * * * * [misc]progress: [ 20 / 253 ] simplifiying candidate # 1554299845.483 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554299845.484 * * [misc]simplify: iters left: 5 (6 enodes) 1554299845.487 * * [misc]simplify: iters left: 4 (20 enodes) 1554299845.494 * * [misc]simplify: iters left: 3 (25 enodes) 1554299845.501 * * [misc]simplify: iters left: 2 (27 enodes) 1554299845.510 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.510 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299845.510 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299845.510 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299845.510 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299845.510 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299845.510 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554299845.511 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554299845.511 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554299845.511 * [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)))))) 1554299845.511 * * * * [misc]progress: [ 21 / 253 ] simplifiying candidate # 1554299845.512 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554299845.512 * * [misc]simplify: iters left: 5 (6 enodes) 1554299845.515 * * [misc]simplify: iters left: 4 (20 enodes) 1554299845.522 * * [misc]simplify: iters left: 3 (25 enodes) 1554299845.526 * * [misc]simplify: iters left: 2 (27 enodes) 1554299845.530 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.530 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299845.530 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299845.530 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299845.530 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299845.530 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299845.530 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554299845.530 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554299845.531 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554299845.531 * [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)))))) 1554299845.531 * * * * [misc]progress: [ 22 / 253 ] simplifiying candidate # 1554299845.531 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554299845.531 * * [misc]simplify: iters left: 4 (5 enodes) 1554299845.533 * * [misc]simplify: iters left: 3 (17 enodes) 1554299845.535 * * [misc]simplify: iters left: 2 (22 enodes) 1554299845.539 * * [misc]simplify: iters left: 1 (24 enodes) 1554299845.542 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.543 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299845.543 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299845.543 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554299845.543 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554299845.543 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554299845.543 * [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)))))) 1554299845.543 * * * * [misc]progress: [ 23 / 253 ] simplifiying candidate # 1554299845.543 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554299845.543 * * [misc]simplify: iters left: 5 (7 enodes) 1554299845.545 * * [misc]simplify: iters left: 4 (24 enodes) 1554299845.549 * * [misc]simplify: iters left: 3 (26 enodes) 1554299845.556 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.556 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.556 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299845.557 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299845.557 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554299845.557 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554299845.557 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554299845.558 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554299845.558 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554299845.558 * [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)))))) 1554299845.558 * * * * [misc]progress: [ 24 / 253 ] simplifiying candidate # 1554299845.558 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554299845.559 * * [misc]simplify: iters left: 5 (7 enodes) 1554299845.562 * * [misc]simplify: iters left: 4 (24 enodes) 1554299845.569 * * [misc]simplify: iters left: 3 (26 enodes) 1554299845.577 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.577 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.577 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299845.578 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299845.578 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554299845.578 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554299845.578 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554299845.579 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554299845.579 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554299845.579 * [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)))))) 1554299845.579 * * * * [misc]progress: [ 25 / 253 ] simplifiying candidate # 1554299845.579 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554299845.579 * * [misc]simplify: iters left: 5 (7 enodes) 1554299845.584 * * [misc]simplify: iters left: 4 (23 enodes) 1554299845.590 * * [misc]simplify: iters left: 3 (28 enodes) 1554299845.599 * * [misc]simplify: iters left: 2 (30 enodes) 1554299845.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.609 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299845.609 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299845.609 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299845.609 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554299845.609 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554299845.609 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554299845.609 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554299845.609 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299845.609 * [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)))))) 1554299845.610 * * * * [misc]progress: [ 26 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 27 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 28 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 29 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 30 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 31 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 32 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 33 / 253 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> 1554299845.610 * * * * [misc]progress: [ 34 / 253 ] simplifiying candidate # 1554299845.610 * * * * [misc]progress: [ 35 / 253 ] simplifiying candidate # 1554299845.610 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))) 1554299845.610 * * [misc]simplify: iters left: 6 (11 enodes) 1554299845.613 * * [misc]simplify: iters left: 5 (38 enodes) 1554299845.619 * * [misc]simplify: iters left: 4 (58 enodes) 1554299845.628 * * [misc]simplify: iters left: 3 (105 enodes) 1554299845.650 * * [misc]simplify: iters left: 2 (150 enodes) 1554299845.692 * * [misc]simplify: iters left: 1 (188 enodes) 1554299845.745 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.745 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299845.745 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299845.745 * * [misc]simplify: Extracting #3: cost 54 inf + 87 1554299845.746 * * [misc]simplify: Extracting #4: cost 32 inf + 2869 1554299845.749 * * [misc]simplify: Extracting #5: cost 3 inf + 7121 1554299845.752 * * [misc]simplify: Extracting #6: cost 0 inf + 7740 1554299845.755 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2)))) 1554299845.755 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))))) 1554299845.755 * * * * [misc]progress: [ 36 / 253 ] simplifiying candidate # 1554299845.755 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2))))) 1554299845.755 * * [misc]simplify: iters left: 6 (11 enodes) 1554299845.761 * * [misc]simplify: iters left: 5 (39 enodes) 1554299845.772 * * [misc]simplify: iters left: 4 (54 enodes) 1554299845.788 * * [misc]simplify: iters left: 3 (75 enodes) 1554299845.810 * * [misc]simplify: iters left: 2 (119 enodes) 1554299845.846 * * [misc]simplify: iters left: 1 (173 enodes) 1554299845.878 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299845.878 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299845.878 * * [misc]simplify: Extracting #2: cost 49 inf + 0 1554299845.878 * * [misc]simplify: Extracting #3: cost 57 inf + 86 1554299845.879 * * [misc]simplify: Extracting #4: cost 29 inf + 3254 1554299845.880 * * [misc]simplify: Extracting #5: cost 4 inf + 7938 1554299845.882 * * [misc]simplify: Extracting #6: cost 0 inf + 8860 1554299845.883 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (log PI) (- (/ k 2) 1/2))) 1554299845.883 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (exp (+ (log (sqrt k)) (* (log PI) (- (/ k 2) 1/2)))))) 1554299845.884 * * * * [misc]progress: [ 37 / 253 ] simplifiying candidate # 1554299845.884 * * * * [misc]progress: [ 38 / 253 ] simplifiying candidate # 1554299845.884 * * * * [misc]progress: [ 39 / 253 ] simplifiying candidate # 1554299845.884 * [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))))) 1554299845.884 * * [misc]simplify: iters left: 6 (13 enodes) 1554299845.888 * * [misc]simplify: iters left: 5 (48 enodes) 1554299845.903 * * [misc]simplify: iters left: 4 (92 enodes) 1554299845.933 * * [misc]simplify: iters left: 3 (152 enodes) 1554299845.963 * * [misc]simplify: iters left: 2 (187 enodes) 1554299846.007 * * [misc]simplify: iters left: 1 (200 enodes) 1554299846.032 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.032 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299846.032 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299846.032 * * [misc]simplify: Extracting #3: cost 45 inf + 85 1554299846.032 * * [misc]simplify: Extracting #4: cost 46 inf + 248 1554299846.032 * * [misc]simplify: Extracting #5: cost 42 inf + 709 1554299846.034 * * [misc]simplify: Extracting #6: cost 10 inf + 11789 1554299846.036 * * [misc]simplify: Extracting #7: cost 0 inf + 15597 1554299846.040 * [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))) 1554299846.040 * [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)))))) 1554299846.040 * * * * [misc]progress: [ 40 / 253 ] simplifiying candidate # 1554299846.040 * * * * [misc]progress: [ 41 / 253 ] simplifiying candidate # 1554299846.040 * * * * [misc]progress: [ 42 / 253 ] simplifiying candidate # 1554299846.040 * * * * [misc]progress: [ 43 / 253 ] simplifiying candidate # 1554299846.040 * * * * [misc]progress: [ 44 / 253 ] simplifiying candidate # 1554299846.040 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) 1554299846.041 * * [misc]simplify: iters left: 6 (8 enodes) 1554299846.043 * * [misc]simplify: iters left: 5 (27 enodes) 1554299846.048 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.056 * * [misc]simplify: iters left: 3 (34 enodes) 1554299846.066 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.066 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299846.066 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299846.066 * * [misc]simplify: Extracting #3: cost 14 inf + 43 1554299846.066 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299846.066 * * [misc]simplify: Extracting #5: cost 10 inf + 167 1554299846.066 * * [misc]simplify: Extracting #6: cost 2 inf + 1579 1554299846.067 * * [misc]simplify: Extracting #7: cost 0 inf + 2023 1554299846.068 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) 1554299846.068 * [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))))))) 1554299846.068 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299846.068 * * [misc]simplify: iters left: 6 (9 enodes) 1554299846.072 * * [misc]simplify: iters left: 5 (29 enodes) 1554299846.080 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.085 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.085 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.085 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.085 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299846.085 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299846.085 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299846.085 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554299846.086 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554299846.086 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299846.086 * [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)))))) 1554299846.086 * * * * [misc]progress: [ 45 / 253 ] simplifiying candidate # 1554299846.086 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2)) 1554299846.086 * * [misc]simplify: iters left: 6 (8 enodes) 1554299846.088 * * [misc]simplify: iters left: 5 (27 enodes) 1554299846.092 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.096 * * [misc]simplify: iters left: 3 (34 enodes) 1554299846.101 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.101 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299846.101 * * [misc]simplify: Extracting #2: cost 15 inf + 0 1554299846.101 * * [misc]simplify: Extracting #3: cost 14 inf + 43 1554299846.101 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299846.101 * * [misc]simplify: Extracting #5: cost 10 inf + 167 1554299846.101 * * [misc]simplify: Extracting #6: cost 2 inf + 1579 1554299846.102 * * [misc]simplify: Extracting #7: cost 0 inf + 2023 1554299846.102 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI)) 1554299846.102 * [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))))))) 1554299846.102 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299846.102 * * [misc]simplify: iters left: 6 (9 enodes) 1554299846.104 * * [misc]simplify: iters left: 5 (29 enodes) 1554299846.109 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.114 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.114 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.114 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.114 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299846.114 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299846.114 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299846.114 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554299846.115 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554299846.115 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299846.115 * [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)))))) 1554299846.115 * * * * [misc]progress: [ 46 / 253 ] simplifiying candidate # 1554299846.116 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299846.116 * * [misc]simplify: iters left: 6 (13 enodes) 1554299846.122 * * [misc]simplify: iters left: 5 (47 enodes) 1554299846.134 * * [misc]simplify: iters left: 4 (67 enodes) 1554299846.143 * * [misc]simplify: iters left: 3 (76 enodes) 1554299846.155 * * [misc]simplify: iters left: 2 (79 enodes) 1554299846.174 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.174 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299846.174 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554299846.174 * * [misc]simplify: Extracting #3: cost 27 inf + 0 1554299846.174 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299846.175 * * [misc]simplify: Extracting #5: cost 26 inf + 649 1554299846.175 * * [misc]simplify: Extracting #6: cost 21 inf + 1152 1554299846.176 * * [misc]simplify: Extracting #7: cost 7 inf + 6180 1554299846.178 * * [misc]simplify: Extracting #8: cost 1 inf + 9504 1554299846.180 * * [misc]simplify: Extracting #9: cost 0 inf + 10038 1554299846.183 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299846.183 * [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)))))))) 1554299846.183 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299846.183 * * [misc]simplify: iters left: 6 (11 enodes) 1554299846.187 * * [misc]simplify: iters left: 5 (35 enodes) 1554299846.192 * * [misc]simplify: iters left: 4 (40 enodes) 1554299846.198 * * [misc]simplify: iters left: 3 (42 enodes) 1554299846.204 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.204 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.204 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.204 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299846.204 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299846.204 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299846.204 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554299846.204 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554299846.205 * * [misc]simplify: Extracting #8: cost 3 inf + 1786 1554299846.205 * * [misc]simplify: Extracting #9: cost 0 inf + 3228 1554299846.205 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299846.205 * [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)))))))) 1554299846.205 * * * * [misc]progress: [ 47 / 253 ] simplifiying candidate # 1554299846.206 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.206 * * [misc]simplify: iters left: 6 (12 enodes) 1554299846.209 * * [misc]simplify: iters left: 5 (40 enodes) 1554299846.215 * * [misc]simplify: iters left: 4 (49 enodes) 1554299846.228 * * [misc]simplify: iters left: 3 (54 enodes) 1554299846.244 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.244 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299846.244 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299846.244 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554299846.244 * * [misc]simplify: Extracting #4: cost 21 inf + 2 1554299846.244 * * [misc]simplify: Extracting #5: cost 23 inf + 44 1554299846.245 * * [misc]simplify: Extracting #6: cost 11 inf + 1528 1554299846.245 * * [misc]simplify: Extracting #7: cost 2 inf + 4418 1554299846.246 * * [misc]simplify: Extracting #8: cost 0 inf + 5446 1554299846.246 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.246 * [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)))))))) 1554299846.247 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.247 * * [misc]simplify: iters left: 6 (11 enodes) 1554299846.250 * * [misc]simplify: iters left: 5 (35 enodes) 1554299846.256 * * [misc]simplify: iters left: 4 (40 enodes) 1554299846.262 * * [misc]simplify: iters left: 3 (42 enodes) 1554299846.268 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.268 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.268 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.268 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299846.268 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299846.268 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299846.268 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554299846.269 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554299846.269 * * [misc]simplify: Extracting #8: cost 3 inf + 1746 1554299846.269 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554299846.270 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.270 * [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)))))))) 1554299846.270 * * * * [misc]progress: [ 48 / 253 ] simplifiying candidate # 1554299846.270 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1554299846.270 * * [misc]simplify: iters left: 6 (6 enodes) 1554299846.272 * * [misc]simplify: iters left: 5 (20 enodes) 1554299846.276 * * [misc]simplify: iters left: 4 (30 enodes) 1554299846.283 * * [misc]simplify: iters left: 3 (31 enodes) 1554299846.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.291 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299846.291 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299846.291 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554299846.291 * * [misc]simplify: Extracting #4: cost 8 inf + 2 1554299846.291 * * [misc]simplify: Extracting #5: cost 0 inf + 972 1554299846.292 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554299846.292 * [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))))))) 1554299846.292 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299846.292 * * [misc]simplify: iters left: 6 (10 enodes) 1554299846.297 * * [misc]simplify: iters left: 5 (32 enodes) 1554299846.304 * * [misc]simplify: iters left: 4 (37 enodes) 1554299846.309 * * [misc]simplify: iters left: 3 (39 enodes) 1554299846.315 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.315 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.315 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.315 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299846.315 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299846.315 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299846.315 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554299846.315 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554299846.316 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299846.316 * [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))))))) 1554299846.316 * * * * [misc]progress: [ 49 / 253 ] simplifiying candidate # 1554299846.316 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI 1/2)) 1554299846.316 * * [misc]simplify: iters left: 4 (7 enodes) 1554299846.318 * * [misc]simplify: iters left: 3 (22 enodes) 1554299846.321 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.321 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.321 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.321 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1554299846.321 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1554299846.321 * * [misc]simplify: Extracting #5: cost 0 inf + 653 1554299846.321 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1554299846.321 * [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))))))) 1554299846.322 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299846.322 * * [misc]simplify: iters left: 6 (9 enodes) 1554299846.324 * * [misc]simplify: iters left: 5 (29 enodes) 1554299846.328 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.332 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.332 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.332 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.332 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299846.332 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299846.332 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299846.332 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554299846.333 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554299846.333 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299846.333 * [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)))))) 1554299846.333 * * * * [misc]progress: [ 50 / 253 ] simplifiying candidate # 1554299846.333 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI 1/2)) 1554299846.333 * * [misc]simplify: iters left: 4 (7 enodes) 1554299846.335 * * [misc]simplify: iters left: 3 (22 enodes) 1554299846.338 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.338 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.338 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.338 * * [misc]simplify: Extracting #3: cost 7 inf + 84 1554299846.338 * * [misc]simplify: Extracting #4: cost 6 inf + 85 1554299846.338 * * [misc]simplify: Extracting #5: cost 0 inf + 653 1554299846.338 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt PI)) 1554299846.339 * [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))))))) 1554299846.339 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299846.339 * * [misc]simplify: iters left: 6 (9 enodes) 1554299846.341 * * [misc]simplify: iters left: 5 (29 enodes) 1554299846.345 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.355 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.355 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.355 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.356 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299846.356 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299846.356 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299846.356 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554299846.356 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554299846.357 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299846.357 * [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)))))) 1554299846.357 * * * * [misc]progress: [ 51 / 253 ] simplifiying candidate # 1554299846.357 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299846.358 * * [misc]simplify: iters left: 6 (12 enodes) 1554299846.363 * * [misc]simplify: iters left: 5 (40 enodes) 1554299846.375 * * [misc]simplify: iters left: 4 (47 enodes) 1554299846.388 * * [misc]simplify: iters left: 3 (49 enodes) 1554299846.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.399 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299846.399 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554299846.399 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299846.399 * * [misc]simplify: Extracting #4: cost 18 inf + 43 1554299846.400 * * [misc]simplify: Extracting #5: cost 18 inf + 247 1554299846.400 * * [misc]simplify: Extracting #6: cost 17 inf + 289 1554299846.400 * * [misc]simplify: Extracting #7: cost 7 inf + 1786 1554299846.400 * * [misc]simplify: Extracting #8: cost 2 inf + 3936 1554299846.401 * * [misc]simplify: Extracting #9: cost 0 inf + 4964 1554299846.401 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299846.401 * [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)))))))) 1554299846.402 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299846.402 * * [misc]simplify: iters left: 6 (11 enodes) 1554299846.404 * * [misc]simplify: iters left: 5 (35 enodes) 1554299846.410 * * [misc]simplify: iters left: 4 (40 enodes) 1554299846.415 * * [misc]simplify: iters left: 3 (42 enodes) 1554299846.421 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.421 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.421 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.421 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299846.421 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299846.421 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299846.421 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554299846.422 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554299846.422 * * [misc]simplify: Extracting #8: cost 3 inf + 1706 1554299846.422 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554299846.422 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299846.422 * [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)))))))) 1554299846.423 * * * * [misc]progress: [ 52 / 253 ] simplifiying candidate # 1554299846.423 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.423 * * [misc]simplify: iters left: 6 (11 enodes) 1554299846.426 * * [misc]simplify: iters left: 5 (35 enodes) 1554299846.436 * * [misc]simplify: iters left: 4 (40 enodes) 1554299846.447 * * [misc]simplify: iters left: 3 (42 enodes) 1554299846.459 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.459 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.459 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.459 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299846.459 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299846.459 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299846.459 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554299846.460 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554299846.460 * * [misc]simplify: Extracting #8: cost 3 inf + 1666 1554299846.461 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1554299846.461 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.461 * [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)))))))) 1554299846.462 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.462 * * [misc]simplify: iters left: 6 (11 enodes) 1554299846.467 * * [misc]simplify: iters left: 5 (35 enodes) 1554299846.479 * * [misc]simplify: iters left: 4 (40 enodes) 1554299846.490 * * [misc]simplify: iters left: 3 (42 enodes) 1554299846.495 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.496 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.496 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.496 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299846.496 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299846.496 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299846.496 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554299846.496 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554299846.496 * * [misc]simplify: Extracting #8: cost 3 inf + 1666 1554299846.497 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1554299846.497 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.497 * [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)))))))) 1554299846.497 * * * * [misc]progress: [ 53 / 253 ] simplifiying candidate # 1554299846.497 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1554299846.497 * * [misc]simplify: iters left: 4 (5 enodes) 1554299846.499 * * [misc]simplify: iters left: 3 (15 enodes) 1554299846.501 * * [misc]simplify: iters left: 2 (17 enodes) 1554299846.503 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.504 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.504 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299846.504 * * [misc]simplify: Extracting #3: cost 4 inf + 2 1554299846.504 * * [misc]simplify: Extracting #4: cost 1 inf + 165 1554299846.504 * * [misc]simplify: Extracting #5: cost 0 inf + 246 1554299846.504 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554299846.504 * [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))))))) 1554299846.504 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299846.504 * * [misc]simplify: iters left: 6 (10 enodes) 1554299846.507 * * [misc]simplify: iters left: 5 (32 enodes) 1554299846.511 * * [misc]simplify: iters left: 4 (37 enodes) 1554299846.517 * * [misc]simplify: iters left: 3 (39 enodes) 1554299846.523 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.523 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.523 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.523 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299846.523 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299846.523 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299846.523 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554299846.524 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554299846.524 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299846.525 * [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))))))) 1554299846.525 * * * * [misc]progress: [ 54 / 253 ] simplifiying candidate # 1554299846.525 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1554299846.525 * * [misc]simplify: iters left: 3 (5 enodes) 1554299846.528 * * [misc]simplify: iters left: 2 (18 enodes) 1554299846.534 * * [misc]simplify: iters left: 1 (20 enodes) 1554299846.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.540 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.540 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299846.540 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554299846.540 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1554299846.540 * [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))))))) 1554299846.540 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554299846.540 * * [misc]simplify: iters left: 6 (8 enodes) 1554299846.544 * * [misc]simplify: iters left: 5 (26 enodes) 1554299846.551 * * [misc]simplify: iters left: 4 (28 enodes) 1554299846.559 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.559 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.559 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.559 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299846.559 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554299846.560 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554299846.560 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554299846.560 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554299846.560 * [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)))))) 1554299846.561 * * * * [misc]progress: [ 55 / 253 ] simplifiying candidate # 1554299846.561 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1554299846.561 * * [misc]simplify: iters left: 3 (5 enodes) 1554299846.564 * * [misc]simplify: iters left: 2 (18 enodes) 1554299846.569 * * [misc]simplify: iters left: 1 (20 enodes) 1554299846.575 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.575 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.575 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299846.576 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554299846.576 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1554299846.576 * [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))))))) 1554299846.576 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554299846.576 * * [misc]simplify: iters left: 6 (8 enodes) 1554299846.580 * * [misc]simplify: iters left: 5 (26 enodes) 1554299846.587 * * [misc]simplify: iters left: 4 (28 enodes) 1554299846.595 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.595 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.595 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.595 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299846.595 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554299846.596 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554299846.596 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554299846.596 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554299846.597 * [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)))))) 1554299846.597 * * * * [misc]progress: [ 56 / 253 ] simplifiying candidate # 1554299846.597 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299846.597 * * [misc]simplify: iters left: 6 (11 enodes) 1554299846.605 * * [misc]simplify: iters left: 5 (39 enodes) 1554299846.611 * * [misc]simplify: iters left: 4 (48 enodes) 1554299846.617 * * [misc]simplify: iters left: 3 (50 enodes) 1554299846.625 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.625 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299846.625 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299846.625 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554299846.625 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299846.625 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554299846.625 * * [misc]simplify: Extracting #6: cost 16 inf + 128 1554299846.625 * * [misc]simplify: Extracting #7: cost 9 inf + 915 1554299846.626 * * [misc]simplify: Extracting #8: cost 5 inf + 2411 1554299846.626 * * [misc]simplify: Extracting #9: cost 0 inf + 4605 1554299846.626 * * [misc]simplify: Extracting #10: cost 0 inf + 4405 1554299846.627 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299846.627 * [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)))))))) 1554299846.627 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299846.627 * * [misc]simplify: iters left: 6 (10 enodes) 1554299846.630 * * [misc]simplify: iters left: 5 (32 enodes) 1554299846.634 * * [misc]simplify: iters left: 4 (37 enodes) 1554299846.642 * * [misc]simplify: iters left: 3 (39 enodes) 1554299846.653 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.653 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.653 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.653 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299846.653 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554299846.653 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554299846.654 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554299846.654 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554299846.654 * * [misc]simplify: Extracting #8: cost 0 inf + 2826 1554299846.655 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299846.655 * [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)))))))) 1554299846.655 * * * * [misc]progress: [ 57 / 253 ] simplifiying candidate # 1554299846.656 * [enter]simplify: Simplifying (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.656 * * [misc]simplify: iters left: 6 (10 enodes) 1554299846.661 * * [misc]simplify: iters left: 5 (34 enodes) 1554299846.671 * * [misc]simplify: iters left: 4 (41 enodes) 1554299846.684 * * [misc]simplify: iters left: 3 (43 enodes) 1554299846.697 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.697 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.697 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299846.697 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554299846.697 * * [misc]simplify: Extracting #4: cost 11 inf + 2 1554299846.697 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554299846.697 * * [misc]simplify: Extracting #6: cost 12 inf + 89 1554299846.697 * * [misc]simplify: Extracting #7: cost 4 inf + 1089 1554299846.698 * * [misc]simplify: Extracting #8: cost 0 inf + 2507 1554299846.699 * [exit]simplify: Simplified to (/ 1 (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.699 * [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)))))))) 1554299846.699 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.699 * * [misc]simplify: iters left: 6 (10 enodes) 1554299846.704 * * [misc]simplify: iters left: 5 (32 enodes) 1554299846.714 * * [misc]simplify: iters left: 4 (37 enodes) 1554299846.725 * * [misc]simplify: iters left: 3 (39 enodes) 1554299846.738 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.738 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.738 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299846.738 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299846.738 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554299846.738 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554299846.738 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554299846.739 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554299846.739 * * [misc]simplify: Extracting #8: cost 0 inf + 2666 1554299846.740 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299846.740 * [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)))))))) 1554299846.740 * * * * [misc]progress: [ 58 / 253 ] simplifiying candidate # 1554299846.741 * [enter]simplify: Simplifying (/ 1 1) 1554299846.741 * * [misc]simplify: iters left: 2 (2 enodes) 1554299846.743 * * [misc]simplify: iters left: 1 (6 enodes) 1554299846.745 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.745 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554299846.745 * [exit]simplify: Simplified to 1 1554299846.745 * [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))))))) 1554299846.745 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299846.745 * * [misc]simplify: iters left: 6 (9 enodes) 1554299846.750 * * [misc]simplify: iters left: 5 (29 enodes) 1554299846.759 * * [misc]simplify: iters left: 4 (34 enodes) 1554299846.769 * * [misc]simplify: iters left: 3 (36 enodes) 1554299846.779 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.779 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.779 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299846.779 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299846.780 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299846.780 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554299846.780 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554299846.781 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554299846.781 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299846.781 * [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))))))) 1554299846.781 * * * * [misc]progress: [ 59 / 253 ] simplifiying candidate # 1554299846.781 * * * * [misc]progress: [ 60 / 253 ] simplifiying candidate # 1554299846.781 * * * * [misc]progress: [ 61 / 253 ] simplifiying candidate # 1554299846.781 * * * * [misc]progress: [ 62 / 253 ] simplifiying candidate # 1554299846.782 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554299846.782 * * [misc]simplify: iters left: 5 (6 enodes) 1554299846.785 * * [misc]simplify: iters left: 4 (20 enodes) 1554299846.791 * * [misc]simplify: iters left: 3 (22 enodes) 1554299846.797 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.797 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.797 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299846.798 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554299846.798 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554299846.798 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554299846.798 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554299846.798 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554299846.798 * [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)))))) 1554299846.799 * * * * [misc]progress: [ 63 / 253 ] simplifiying candidate # 1554299846.799 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554299846.799 * * [misc]simplify: iters left: 5 (6 enodes) 1554299846.802 * * [misc]simplify: iters left: 4 (20 enodes) 1554299846.808 * * [misc]simplify: iters left: 3 (22 enodes) 1554299846.813 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.813 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.814 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299846.814 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554299846.814 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554299846.814 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554299846.814 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554299846.814 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554299846.814 * [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)))))) 1554299846.814 * * * * [misc]progress: [ 64 / 253 ] simplifiying candidate # 1554299846.814 * [enter]simplify: Simplifying (cbrt (pow PI (- 1/2 (/ k 2)))) 1554299846.814 * * [misc]simplify: iters left: 6 (8 enodes) 1554299846.816 * * [misc]simplify: iters left: 5 (26 enodes) 1554299846.820 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.825 * * [misc]simplify: iters left: 3 (33 enodes) 1554299846.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.830 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299846.830 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299846.830 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554299846.830 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554299846.830 * * [misc]simplify: Extracting #5: cost 11 inf + 45 1554299846.830 * * [misc]simplify: Extracting #6: cost 5 inf + 417 1554299846.830 * * [misc]simplify: Extracting #7: cost 1 inf + 1462 1554299846.830 * * [misc]simplify: Extracting #8: cost 0 inf + 1836 1554299846.831 * [exit]simplify: Simplified to (cbrt (pow PI (- 1/2 (/ k 2)))) 1554299846.831 * [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))))))) 1554299846.831 * * * * [misc]progress: [ 65 / 253 ] simplifiying candidate # 1554299846.831 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1554299846.831 * * [misc]simplify: iters left: 6 (8 enodes) 1554299846.833 * * [misc]simplify: iters left: 5 (26 enodes) 1554299846.837 * * [misc]simplify: iters left: 4 (31 enodes) 1554299846.841 * * [misc]simplify: iters left: 3 (33 enodes) 1554299846.845 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.845 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299846.846 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299846.846 * * [misc]simplify: Extracting #3: cost 9 inf + 1 1554299846.846 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554299846.846 * * [misc]simplify: Extracting #5: cost 11 inf + 45 1554299846.846 * * [misc]simplify: Extracting #6: cost 5 inf + 417 1554299846.846 * * [misc]simplify: Extracting #7: cost 1 inf + 1422 1554299846.846 * * [misc]simplify: Extracting #8: cost 0 inf + 1756 1554299846.846 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1554299846.846 * [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))))))) 1554299846.847 * * * * [misc]progress: [ 66 / 253 ] simplifiying candidate # 1554299846.847 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554299846.847 * * [misc]simplify: iters left: 5 (7 enodes) 1554299846.849 * * [misc]simplify: iters left: 4 (23 enodes) 1554299846.857 * * [misc]simplify: iters left: 3 (28 enodes) 1554299846.865 * * [misc]simplify: iters left: 2 (30 enodes) 1554299846.874 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.874 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.874 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299846.874 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299846.874 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554299846.874 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554299846.875 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554299846.875 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554299846.876 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554299846.876 * [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)))))) 1554299846.876 * * * * [misc]progress: [ 67 / 253 ] simplifiying candidate # 1554299846.876 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554299846.876 * * [misc]simplify: iters left: 4 (4 enodes) 1554299846.878 * * [misc]simplify: iters left: 3 (12 enodes) 1554299846.881 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.881 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299846.881 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299846.881 * * [misc]simplify: Extracting #3: cost 7 inf + 0 1554299846.882 * * [misc]simplify: Extracting #4: cost 6 inf + 1 1554299846.882 * * [misc]simplify: Extracting #5: cost 0 inf + 647 1554299846.882 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1554299846.882 * [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)))))) 1554299846.882 * * * * [misc]progress: [ 68 / 253 ] simplifiying candidate # 1554299846.882 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1554299846.882 * * [misc]simplify: iters left: 2 (3 enodes) 1554299846.884 * * [misc]simplify: iters left: 1 (9 enodes) 1554299846.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.886 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299846.886 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299846.886 * * [misc]simplify: Extracting #3: cost 4 inf + 1 1554299846.886 * * [misc]simplify: Extracting #4: cost 0 inf + 245 1554299846.886 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1554299846.886 * [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)))))) 1554299846.886 * * * * [misc]progress: [ 69 / 253 ] simplifiying candidate # 1554299846.887 * * * * [misc]progress: [ 70 / 253 ] simplifiying candidate # 1554299846.887 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554299846.887 * * [misc]simplify: iters left: 3 (5 enodes) 1554299846.890 * * [misc]simplify: iters left: 2 (15 enodes) 1554299846.894 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299846.894 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299846.894 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299846.894 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554299846.895 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554299846.895 * [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))))) 1554299846.895 * * * * [misc]progress: [ 71 / 253 ] simplifiying candidate #real (real->posit16 (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))> 1554299846.895 * * * * [misc]progress: [ 72 / 253 ] simplifiying candidate # 1554299846.895 * * * * [misc]progress: [ 73 / 253 ] simplifiying candidate # 1554299846.895 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))) 1554299846.895 * * [misc]simplify: iters left: 6 (16 enodes) 1554299846.904 * * [misc]simplify: iters left: 5 (62 enodes) 1554299846.924 * * [misc]simplify: iters left: 4 (110 enodes) 1554299846.947 * * [misc]simplify: iters left: 3 (276 enodes) 1554299847.055 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299847.055 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554299847.055 * * [misc]simplify: Extracting #2: cost 218 inf + 0 1554299847.060 * * [misc]simplify: Extracting #3: cost 240 inf + 73 1554299847.063 * * [misc]simplify: Extracting #4: cost 195 inf + 7170 1554299847.074 * * [misc]simplify: Extracting #5: cost 90 inf + 36256 1554299847.099 * * [misc]simplify: Extracting #6: cost 8 inf + 73036 1554299847.127 * * [misc]simplify: Extracting #7: cost 0 inf + 76475 1554299847.154 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554299847.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554299847.154 * * * * [misc]progress: [ 74 / 253 ] simplifiying candidate # 1554299847.154 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))) 1554299847.154 * * [misc]simplify: iters left: 6 (16 enodes) 1554299847.159 * * [misc]simplify: iters left: 5 (63 enodes) 1554299847.168 * * [misc]simplify: iters left: 4 (106 enodes) 1554299847.197 * * [misc]simplify: iters left: 3 (235 enodes) 1554299847.305 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299847.305 * * [misc]simplify: Extracting #1: cost 47 inf + 0 1554299847.306 * * [misc]simplify: Extracting #2: cost 190 inf + 0 1554299847.307 * * [misc]simplify: Extracting #3: cost 209 inf + 73 1554299847.310 * * [misc]simplify: Extracting #4: cost 157 inf + 10800 1554299847.322 * * [misc]simplify: Extracting #5: cost 34 inf + 55400 1554299847.334 * * [misc]simplify: Extracting #6: cost 0 inf + 66386 1554299847.347 * * [misc]simplify: Extracting #7: cost 0 inf + 65248 1554299847.366 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554299847.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554299847.366 * * * * [misc]progress: [ 75 / 253 ] simplifiying candidate # 1554299847.367 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299847.367 * * [misc]simplify: iters left: 6 (15 enodes) 1554299847.371 * * [misc]simplify: iters left: 5 (57 enodes) 1554299847.382 * * [misc]simplify: iters left: 4 (92 enodes) 1554299847.405 * * [misc]simplify: iters left: 3 (195 enodes) 1554299847.464 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299847.464 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554299847.464 * * [misc]simplify: Extracting #2: cost 136 inf + 0 1554299847.464 * * [misc]simplify: Extracting #3: cost 161 inf + 185 1554299847.465 * * [misc]simplify: Extracting #4: cost 144 inf + 1538 1554299847.467 * * [misc]simplify: Extracting #5: cost 81 inf + 14090 1554299847.473 * * [misc]simplify: Extracting #6: cost 26 inf + 34679 1554299847.486 * * [misc]simplify: Extracting #7: cost 0 inf + 48543 1554299847.498 * [exit]simplify: Simplified to (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299847.498 * [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)))))) 1554299847.498 * * * * [misc]progress: [ 76 / 253 ] simplifiying candidate # 1554299847.498 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))) 1554299847.499 * * [misc]simplify: iters left: 6 (16 enodes) 1554299847.504 * * [misc]simplify: iters left: 5 (62 enodes) 1554299847.513 * * [misc]simplify: iters left: 4 (110 enodes) 1554299847.543 * * [misc]simplify: iters left: 3 (276 enodes) 1554299847.635 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299847.635 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554299847.636 * * [misc]simplify: Extracting #2: cost 218 inf + 0 1554299847.637 * * [misc]simplify: Extracting #3: cost 240 inf + 73 1554299847.638 * * [misc]simplify: Extracting #4: cost 195 inf + 7170 1554299847.643 * * [misc]simplify: Extracting #5: cost 90 inf + 36256 1554299847.663 * * [misc]simplify: Extracting #6: cost 8 inf + 73036 1554299847.691 * * [misc]simplify: Extracting #7: cost 0 inf + 76475 1554299847.720 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554299847.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554299847.720 * * * * [misc]progress: [ 77 / 253 ] simplifiying candidate # 1554299847.721 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))) 1554299847.721 * * [misc]simplify: iters left: 6 (16 enodes) 1554299847.729 * * [misc]simplify: iters left: 5 (63 enodes) 1554299847.749 * * [misc]simplify: iters left: 4 (106 enodes) 1554299847.776 * * [misc]simplify: iters left: 3 (235 enodes) 1554299847.891 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299847.891 * * [misc]simplify: Extracting #1: cost 47 inf + 0 1554299847.891 * * [misc]simplify: Extracting #2: cost 190 inf + 0 1554299847.892 * * [misc]simplify: Extracting #3: cost 209 inf + 73 1554299847.894 * * [misc]simplify: Extracting #4: cost 157 inf + 10800 1554299847.902 * * [misc]simplify: Extracting #5: cost 34 inf + 55400 1554299847.917 * * [misc]simplify: Extracting #6: cost 0 inf + 66386 1554299847.941 * * [misc]simplify: Extracting #7: cost 0 inf + 65248 1554299847.969 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554299847.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554299847.969 * * * * [misc]progress: [ 78 / 253 ] simplifiying candidate # 1554299847.970 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299847.970 * * [misc]simplify: iters left: 6 (15 enodes) 1554299847.976 * * [misc]simplify: iters left: 5 (57 enodes) 1554299847.985 * * [misc]simplify: iters left: 4 (92 enodes) 1554299848.002 * * [misc]simplify: iters left: 3 (195 enodes) 1554299848.102 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299848.102 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554299848.102 * * [misc]simplify: Extracting #2: cost 136 inf + 0 1554299848.103 * * [misc]simplify: Extracting #3: cost 161 inf + 185 1554299848.105 * * [misc]simplify: Extracting #4: cost 144 inf + 1538 1554299848.109 * * [misc]simplify: Extracting #5: cost 81 inf + 14090 1554299848.120 * * [misc]simplify: Extracting #6: cost 26 inf + 34679 1554299848.137 * * [misc]simplify: Extracting #7: cost 0 inf + 48543 1554299848.155 * [exit]simplify: Simplified to (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299848.155 * [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)))))) 1554299848.155 * * * * [misc]progress: [ 79 / 253 ] simplifiying candidate # 1554299848.156 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log PI) (- 1/2 (/ k 2))))) 1554299848.156 * * [misc]simplify: iters left: 6 (16 enodes) 1554299848.163 * * [misc]simplify: iters left: 5 (60 enodes) 1554299848.182 * * [misc]simplify: iters left: 4 (98 enodes) 1554299848.214 * * [misc]simplify: iters left: 3 (192 enodes) 1554299848.299 * * [misc]simplify: iters left: 2 (465 enodes) 1554299848.648 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299848.648 * * [misc]simplify: Extracting #1: cost 85 inf + 0 1554299848.651 * * [misc]simplify: Extracting #2: cost 396 inf + 0 1554299848.654 * * [misc]simplify: Extracting #3: cost 400 inf + 1236 1554299848.660 * * [misc]simplify: Extracting #4: cost 355 inf + 10842 1554299848.678 * * [misc]simplify: Extracting #5: cost 226 inf + 54930 1554299848.726 * * [misc]simplify: Extracting #6: cost 30 inf + 138114 1554299848.786 * * [misc]simplify: Extracting #7: cost 0 inf + 151209 1554299848.815 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1554299848.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1554299848.815 * * * * [misc]progress: [ 80 / 253 ] simplifiying candidate # 1554299848.816 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow PI (- 1/2 (/ k 2)))))) 1554299848.816 * * [misc]simplify: iters left: 6 (16 enodes) 1554299848.820 * * [misc]simplify: iters left: 5 (61 enodes) 1554299848.829 * * [misc]simplify: iters left: 4 (94 enodes) 1554299848.848 * * [misc]simplify: iters left: 3 (151 enodes) 1554299848.894 * * [misc]simplify: iters left: 2 (416 enodes) 1554299849.160 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299849.160 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1554299849.161 * * [misc]simplify: Extracting #2: cost 421 inf + 0 1554299849.162 * * [misc]simplify: Extracting #3: cost 451 inf + 2 1554299849.165 * * [misc]simplify: Extracting #4: cost 397 inf + 9850 1554299849.188 * * [misc]simplify: Extracting #5: cost 174 inf + 88372 1554299849.241 * * [misc]simplify: Extracting #6: cost 14 inf + 158236 1554299849.274 * * [misc]simplify: Extracting #7: cost 0 inf + 165673 1554299849.313 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1554299849.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1554299849.313 * * * * [misc]progress: [ 81 / 253 ] simplifiying candidate # 1554299849.313 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299849.313 * * [misc]simplify: iters left: 6 (15 enodes) 1554299849.317 * * [misc]simplify: iters left: 5 (55 enodes) 1554299849.326 * * [misc]simplify: iters left: 4 (80 enodes) 1554299849.345 * * [misc]simplify: iters left: 3 (119 enodes) 1554299849.372 * * [misc]simplify: iters left: 2 (277 enodes) 1554299849.509 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299849.510 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554299849.510 * * [misc]simplify: Extracting #2: cost 234 inf + 0 1554299849.513 * * [misc]simplify: Extracting #3: cost 254 inf + 73 1554299849.515 * * [misc]simplify: Extracting #4: cost 221 inf + 6867 1554299849.522 * * [misc]simplify: Extracting #5: cost 80 inf + 56024 1554299849.541 * * [misc]simplify: Extracting #6: cost 1 inf + 85562 1554299849.557 * * [misc]simplify: Extracting #7: cost 0 inf + 85551 1554299849.576 * [exit]simplify: Simplified to (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299849.576 * [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)))))) 1554299849.576 * * * * [misc]progress: [ 82 / 253 ] simplifiying candidate # 1554299849.576 * * * * [misc]progress: [ 83 / 253 ] simplifiying candidate # 1554299849.576 * * * * [misc]progress: [ 84 / 253 ] simplifiying candidate # 1554299849.576 * [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)))))) 1554299849.577 * * [misc]simplify: iters left: 6 (19 enodes) 1554299849.587 * * [misc]simplify: iters left: 5 (72 enodes) 1554299849.612 * * [misc]simplify: iters left: 4 (169 enodes) 1554299849.665 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299849.666 * * [misc]simplify: Extracting #1: cost 80 inf + 0 1554299849.667 * * [misc]simplify: Extracting #2: cost 186 inf + 1 1554299849.668 * * [misc]simplify: Extracting #3: cost 193 inf + 247 1554299849.670 * * [misc]simplify: Extracting #4: cost 190 inf + 376 1554299849.675 * * [misc]simplify: Extracting #5: cost 140 inf + 23362 1554299849.687 * * [misc]simplify: Extracting #6: cost 24 inf + 93103 1554299849.704 * * [misc]simplify: Extracting #7: cost 0 inf + 109950 1554299849.738 * [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)))))) 1554299849.738 * [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)))))))) 1554299849.738 * * * * [misc]progress: [ 85 / 253 ] simplifiying candidate # 1554299849.739 * [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)))))) 1554299849.739 * * [misc]simplify: iters left: 6 (17 enodes) 1554299849.748 * * [misc]simplify: iters left: 5 (69 enodes) 1554299849.763 * * [misc]simplify: iters left: 4 (146 enodes) 1554299849.794 * * [misc]simplify: iters left: 3 (367 enodes) 1554299850.049 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.049 * * [misc]simplify: Extracting #1: cost 82 inf + 0 1554299850.051 * * [misc]simplify: Extracting #2: cost 231 inf + 1 1554299850.054 * * [misc]simplify: Extracting #3: cost 238 inf + 44 1554299850.056 * * [misc]simplify: Extracting #4: cost 233 inf + 334 1554299850.065 * * [misc]simplify: Extracting #5: cost 174 inf + 32712 1554299850.109 * * [misc]simplify: Extracting #6: cost 34 inf + 121155 1554299850.165 * * [misc]simplify: Extracting #7: cost 0 inf + 142124 1554299850.199 * * [misc]simplify: Extracting #8: cost 0 inf + 142084 1554299850.254 * [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)))))) 1554299850.254 * [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)))))))) 1554299850.255 * * * * [misc]progress: [ 86 / 253 ] simplifiying candidate # 1554299850.255 * * * * [misc]progress: [ 87 / 253 ] simplifiying candidate # 1554299850.255 * * * * [misc]progress: [ 88 / 253 ] simplifiying candidate # 1554299850.255 * * * * [misc]progress: [ 89 / 253 ] simplifiying candidate # 1554299850.255 * * * * [misc]progress: [ 90 / 253 ] simplifiying candidate # 1554299850.256 * [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))))))) 1554299850.256 * * [misc]simplify: iters left: 6 (15 enodes) 1554299850.263 * * [misc]simplify: iters left: 5 (51 enodes) 1554299850.277 * * [misc]simplify: iters left: 4 (58 enodes) 1554299850.293 * * [misc]simplify: iters left: 3 (60 enodes) 1554299850.309 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.309 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299850.309 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299850.309 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299850.309 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554299850.309 * * [misc]simplify: Extracting #5: cost 19 inf + 171 1554299850.310 * * [misc]simplify: Extracting #6: cost 17 inf + 460 1554299850.310 * * [misc]simplify: Extracting #7: cost 8 inf + 3193 1554299850.312 * * [misc]simplify: Extracting #8: cost 0 inf + 6443 1554299850.313 * [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)))))) 1554299850.313 * [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)))))))) 1554299850.314 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299850.314 * * [misc]simplify: iters left: 6 (15 enodes) 1554299850.319 * * [misc]simplify: iters left: 5 (49 enodes) 1554299850.327 * * [misc]simplify: iters left: 4 (52 enodes) 1554299850.334 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.334 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299850.334 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299850.334 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299850.334 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554299850.334 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554299850.334 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554299850.335 * * [misc]simplify: Extracting #7: cost 3 inf + 3123 1554299850.335 * * [misc]simplify: Extracting #8: cost 0 inf + 5147 1554299850.336 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299850.336 * [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)))))))) 1554299850.336 * * * * [misc]progress: [ 91 / 253 ] simplifiying candidate # 1554299850.336 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299850.336 * * [misc]simplify: iters left: 6 (14 enodes) 1554299850.340 * * [misc]simplify: iters left: 5 (46 enodes) 1554299850.347 * * [misc]simplify: iters left: 4 (51 enodes) 1554299850.361 * * [misc]simplify: iters left: 3 (53 enodes) 1554299850.375 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.375 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299850.375 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299850.375 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299850.375 * * [misc]simplify: Extracting #4: cost 17 inf + 3 1554299850.375 * * [misc]simplify: Extracting #5: cost 16 inf + 129 1554299850.376 * * [misc]simplify: Extracting #6: cost 12 inf + 584 1554299850.376 * * [misc]simplify: Extracting #7: cost 3 inf + 3075 1554299850.377 * * [misc]simplify: Extracting #8: cost 0 inf + 4065 1554299850.378 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299850.378 * [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)))))))) 1554299850.379 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299850.379 * * [misc]simplify: iters left: 6 (15 enodes) 1554299850.385 * * [misc]simplify: iters left: 5 (49 enodes) 1554299850.394 * * [misc]simplify: iters left: 4 (52 enodes) 1554299850.401 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.401 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299850.401 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299850.401 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299850.401 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554299850.401 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554299850.401 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554299850.402 * * [misc]simplify: Extracting #7: cost 3 inf + 3083 1554299850.402 * * [misc]simplify: Extracting #8: cost 0 inf + 4987 1554299850.403 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299850.403 * [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)))))))) 1554299850.403 * * * * [misc]progress: [ 92 / 253 ] simplifiying candidate # 1554299850.403 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299850.403 * * [misc]simplify: iters left: 6 (13 enodes) 1554299850.406 * * [misc]simplify: iters left: 5 (46 enodes) 1554299850.413 * * [misc]simplify: iters left: 4 (58 enodes) 1554299850.422 * * [misc]simplify: iters left: 3 (77 enodes) 1554299850.445 * * [misc]simplify: iters left: 2 (83 enodes) 1554299850.466 * * [misc]simplify: iters left: 1 (91 enodes) 1554299850.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.489 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299850.489 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299850.489 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554299850.489 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554299850.490 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554299850.492 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554299850.494 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554299850.496 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554299850.496 * [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))))))) 1554299850.496 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299850.496 * * [misc]simplify: iters left: 6 (13 enodes) 1554299850.502 * * [misc]simplify: iters left: 5 (44 enodes) 1554299850.515 * * [misc]simplify: iters left: 4 (51 enodes) 1554299850.529 * * [misc]simplify: iters left: 3 (55 enodes) 1554299850.544 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.544 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299850.544 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299850.544 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299850.544 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554299850.544 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554299850.545 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554299850.547 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554299850.548 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554299850.548 * [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)))))) 1554299850.548 * * * * [misc]progress: [ 93 / 253 ] simplifiying candidate # 1554299850.548 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299850.549 * * [misc]simplify: iters left: 6 (13 enodes) 1554299850.555 * * [misc]simplify: iters left: 5 (46 enodes) 1554299850.563 * * [misc]simplify: iters left: 4 (58 enodes) 1554299850.573 * * [misc]simplify: iters left: 3 (77 enodes) 1554299850.584 * * [misc]simplify: iters left: 2 (83 enodes) 1554299850.605 * * [misc]simplify: iters left: 1 (91 enodes) 1554299850.628 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.629 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299850.629 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299850.629 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554299850.629 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554299850.630 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554299850.632 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554299850.634 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554299850.636 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554299850.636 * [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))))))) 1554299850.636 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299850.637 * * [misc]simplify: iters left: 6 (13 enodes) 1554299850.642 * * [misc]simplify: iters left: 5 (44 enodes) 1554299850.655 * * [misc]simplify: iters left: 4 (51 enodes) 1554299850.669 * * [misc]simplify: iters left: 3 (55 enodes) 1554299850.683 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.683 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299850.683 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299850.683 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299850.683 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554299850.684 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554299850.685 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554299850.685 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554299850.686 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554299850.686 * [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)))))) 1554299850.686 * * * * [misc]progress: [ 94 / 253 ] simplifiying candidate # 1554299850.686 * [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))))))) 1554299850.686 * * [misc]simplify: iters left: 6 (17 enodes) 1554299850.690 * * [misc]simplify: iters left: 5 (63 enodes) 1554299850.701 * * [misc]simplify: iters left: 4 (97 enodes) 1554299850.718 * * [misc]simplify: iters left: 3 (136 enodes) 1554299850.754 * * [misc]simplify: iters left: 2 (166 enodes) 1554299850.777 * * [misc]simplify: iters left: 1 (200 enodes) 1554299850.835 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.835 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554299850.836 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554299850.836 * * [misc]simplify: Extracting #3: cost 62 inf + 1 1554299850.836 * * [misc]simplify: Extracting #4: cost 57 inf + 449 1554299850.839 * * [misc]simplify: Extracting #5: cost 30 inf + 10699 1554299850.846 * * [misc]simplify: Extracting #6: cost 3 inf + 24432 1554299850.854 * * [misc]simplify: Extracting #7: cost 0 inf + 25621 1554299850.862 * [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))))) 1554299850.862 * [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)))))))) 1554299850.863 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299850.863 * * [misc]simplify: iters left: 6 (16 enodes) 1554299850.870 * * [misc]simplify: iters left: 5 (54 enodes) 1554299850.886 * * [misc]simplify: iters left: 4 (62 enodes) 1554299850.903 * * [misc]simplify: iters left: 3 (66 enodes) 1554299850.920 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299850.920 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299850.920 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299850.920 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299850.920 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554299850.921 * * [misc]simplify: Extracting #5: cost 8 inf + 3761 1554299850.922 * * [misc]simplify: Extracting #6: cost 2 inf + 6655 1554299850.924 * * [misc]simplify: Extracting #7: cost 0 inf + 8105 1554299850.925 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299850.925 * [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))))))) 1554299850.925 * * * * [misc]progress: [ 95 / 253 ] simplifiying candidate # 1554299850.925 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299850.926 * * [misc]simplify: iters left: 6 (16 enodes) 1554299850.931 * * [misc]simplify: iters left: 5 (56 enodes) 1554299850.938 * * [misc]simplify: iters left: 4 (73 enodes) 1554299850.949 * * [misc]simplify: iters left: 3 (94 enodes) 1554299850.971 * * [misc]simplify: iters left: 2 (100 enodes) 1554299850.995 * * [misc]simplify: iters left: 1 (108 enodes) 1554299851.022 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.022 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299851.022 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299851.022 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554299851.022 * * [misc]simplify: Extracting #4: cost 39 inf + 5 1554299851.023 * * [misc]simplify: Extracting #5: cost 25 inf + 2311 1554299851.025 * * [misc]simplify: Extracting #6: cost 3 inf + 10793 1554299851.028 * * [misc]simplify: Extracting #7: cost 0 inf + 11532 1554299851.031 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554299851.031 * [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)))))))) 1554299851.032 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.032 * * [misc]simplify: iters left: 6 (16 enodes) 1554299851.040 * * [misc]simplify: iters left: 5 (54 enodes) 1554299851.057 * * [misc]simplify: iters left: 4 (62 enodes) 1554299851.074 * * [misc]simplify: iters left: 3 (66 enodes) 1554299851.090 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.090 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.090 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.090 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299851.091 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554299851.091 * * [misc]simplify: Extracting #5: cost 8 inf + 3681 1554299851.092 * * [misc]simplify: Extracting #6: cost 2 inf + 6415 1554299851.094 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554299851.095 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299851.095 * [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))))))) 1554299851.096 * * * * [misc]progress: [ 96 / 253 ] simplifiying candidate # 1554299851.096 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299851.096 * * [misc]simplify: iters left: 6 (12 enodes) 1554299851.102 * * [misc]simplify: iters left: 5 (42 enodes) 1554299851.116 * * [misc]simplify: iters left: 4 (57 enodes) 1554299851.132 * * [misc]simplify: iters left: 3 (68 enodes) 1554299851.151 * * [misc]simplify: iters left: 2 (75 enodes) 1554299851.172 * * [misc]simplify: iters left: 1 (88 enodes) 1554299851.200 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.200 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299851.201 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299851.201 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299851.201 * * [misc]simplify: Extracting #4: cost 23 inf + 5 1554299851.201 * * [misc]simplify: Extracting #5: cost 11 inf + 1670 1554299851.203 * * [misc]simplify: Extracting #6: cost 2 inf + 3448 1554299851.204 * * [misc]simplify: Extracting #7: cost 0 inf + 3933 1554299851.206 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299851.206 * [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))))))) 1554299851.206 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299851.207 * * [misc]simplify: iters left: 6 (15 enodes) 1554299851.214 * * [misc]simplify: iters left: 5 (51 enodes) 1554299851.225 * * [misc]simplify: iters left: 4 (59 enodes) 1554299851.233 * * [misc]simplify: iters left: 3 (63 enodes) 1554299851.242 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.242 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.242 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299851.242 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299851.242 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1554299851.242 * * [misc]simplify: Extracting #5: cost 8 inf + 3304 1554299851.243 * * [misc]simplify: Extracting #6: cost 1 inf + 6372 1554299851.243 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554299851.244 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554299851.244 * [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))))))) 1554299851.244 * * * * [misc]progress: [ 97 / 253 ] simplifiying candidate # 1554299851.244 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299851.244 * * [misc]simplify: iters left: 6 (12 enodes) 1554299851.247 * * [misc]simplify: iters left: 5 (41 enodes) 1554299851.257 * * [misc]simplify: iters left: 4 (46 enodes) 1554299851.263 * * [misc]simplify: iters left: 3 (50 enodes) 1554299851.270 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.270 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.270 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.270 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554299851.270 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554299851.270 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554299851.271 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554299851.271 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554299851.271 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554299851.272 * [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))))))) 1554299851.272 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299851.272 * * [misc]simplify: iters left: 6 (13 enodes) 1554299851.275 * * [misc]simplify: iters left: 5 (44 enodes) 1554299851.281 * * [misc]simplify: iters left: 4 (51 enodes) 1554299851.288 * * [misc]simplify: iters left: 3 (55 enodes) 1554299851.302 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.302 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.302 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.302 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299851.303 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554299851.303 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554299851.304 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554299851.305 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554299851.306 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554299851.306 * [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)))))) 1554299851.306 * * * * [misc]progress: [ 98 / 253 ] simplifiying candidate # 1554299851.307 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299851.307 * * [misc]simplify: iters left: 6 (12 enodes) 1554299851.313 * * [misc]simplify: iters left: 5 (41 enodes) 1554299851.324 * * [misc]simplify: iters left: 4 (46 enodes) 1554299851.337 * * [misc]simplify: iters left: 3 (50 enodes) 1554299851.351 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.351 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.351 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.351 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554299851.351 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554299851.352 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554299851.352 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554299851.353 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554299851.354 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554299851.354 * [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))))))) 1554299851.354 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299851.355 * * [misc]simplify: iters left: 6 (13 enodes) 1554299851.361 * * [misc]simplify: iters left: 5 (44 enodes) 1554299851.373 * * [misc]simplify: iters left: 4 (51 enodes) 1554299851.387 * * [misc]simplify: iters left: 3 (55 enodes) 1554299851.400 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.400 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.400 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.400 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299851.400 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554299851.400 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554299851.401 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554299851.401 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554299851.402 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554299851.402 * [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)))))) 1554299851.402 * * * * [misc]progress: [ 99 / 253 ] simplifiying candidate # 1554299851.402 * [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))))))) 1554299851.402 * * [misc]simplify: iters left: 6 (16 enodes) 1554299851.407 * * [misc]simplify: iters left: 5 (56 enodes) 1554299851.416 * * [misc]simplify: iters left: 4 (72 enodes) 1554299851.428 * * [misc]simplify: iters left: 3 (86 enodes) 1554299851.439 * * [misc]simplify: iters left: 2 (94 enodes) 1554299851.453 * * [misc]simplify: iters left: 1 (100 enodes) 1554299851.469 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.469 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299851.469 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554299851.469 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299851.470 * * [misc]simplify: Extracting #4: cost 36 inf + 5 1554299851.470 * * [misc]simplify: Extracting #5: cost 30 inf + 539 1554299851.471 * * [misc]simplify: Extracting #6: cost 18 inf + 3791 1554299851.473 * * [misc]simplify: Extracting #7: cost 2 inf + 10786 1554299851.476 * * [misc]simplify: Extracting #8: cost 0 inf + 11855 1554299851.479 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554299851.480 * [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)))))))) 1554299851.480 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.480 * * [misc]simplify: iters left: 6 (16 enodes) 1554299851.488 * * [misc]simplify: iters left: 5 (54 enodes) 1554299851.503 * * [misc]simplify: iters left: 4 (62 enodes) 1554299851.521 * * [misc]simplify: iters left: 3 (66 enodes) 1554299851.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.538 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.538 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.538 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299851.539 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299851.539 * * [misc]simplify: Extracting #5: cost 8 inf + 3601 1554299851.541 * * [misc]simplify: Extracting #6: cost 2 inf + 6375 1554299851.544 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554299851.546 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299851.546 * [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))))))) 1554299851.546 * * * * [misc]progress: [ 100 / 253 ] simplifiying candidate # 1554299851.546 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.546 * * [misc]simplify: iters left: 6 (15 enodes) 1554299851.554 * * [misc]simplify: iters left: 5 (51 enodes) 1554299851.568 * * [misc]simplify: iters left: 4 (61 enodes) 1554299851.585 * * [misc]simplify: iters left: 3 (67 enodes) 1554299851.602 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.602 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.602 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.603 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299851.603 * * [misc]simplify: Extracting #4: cost 24 inf + 5 1554299851.603 * * [misc]simplify: Extracting #5: cost 19 inf + 579 1554299851.604 * * [misc]simplify: Extracting #6: cost 8 inf + 2440 1554299851.605 * * [misc]simplify: Extracting #7: cost 0 inf + 5623 1554299851.606 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) 1554299851.606 * [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)))))))) 1554299851.607 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.607 * * [misc]simplify: iters left: 6 (16 enodes) 1554299851.614 * * [misc]simplify: iters left: 5 (54 enodes) 1554299851.622 * * [misc]simplify: iters left: 4 (62 enodes) 1554299851.631 * * [misc]simplify: iters left: 3 (66 enodes) 1554299851.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.640 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.640 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.640 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299851.640 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299851.640 * * [misc]simplify: Extracting #5: cost 8 inf + 3521 1554299851.641 * * [misc]simplify: Extracting #6: cost 2 inf + 6135 1554299851.642 * * [misc]simplify: Extracting #7: cost 0 inf + 7465 1554299851.642 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299851.643 * [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))))))) 1554299851.643 * * * * [misc]progress: [ 101 / 253 ] simplifiying candidate # 1554299851.643 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) 1554299851.643 * * [misc]simplify: iters left: 6 (11 enodes) 1554299851.646 * * [misc]simplify: iters left: 5 (37 enodes) 1554299851.651 * * [misc]simplify: iters left: 4 (41 enodes) 1554299851.659 * * [misc]simplify: iters left: 3 (44 enodes) 1554299851.665 * * [misc]simplify: iters left: 2 (45 enodes) 1554299851.671 * * [misc]simplify: iters left: 1 (47 enodes) 1554299851.677 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.677 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299851.677 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299851.677 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554299851.677 * * [misc]simplify: Extracting #4: cost 12 inf + 5 1554299851.677 * * [misc]simplify: Extracting #5: cost 3 inf + 700 1554299851.678 * * [misc]simplify: Extracting #6: cost 0 inf + 1309 1554299851.678 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554299851.678 * [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))))))) 1554299851.678 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299851.678 * * [misc]simplify: iters left: 6 (15 enodes) 1554299851.682 * * [misc]simplify: iters left: 5 (51 enodes) 1554299851.689 * * [misc]simplify: iters left: 4 (59 enodes) 1554299851.697 * * [misc]simplify: iters left: 3 (63 enodes) 1554299851.706 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.706 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.706 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299851.706 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299851.706 * * [misc]simplify: Extracting #4: cost 22 inf + 250 1554299851.707 * * [misc]simplify: Extracting #5: cost 8 inf + 3104 1554299851.707 * * [misc]simplify: Extracting #6: cost 1 inf + 6052 1554299851.708 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554299851.709 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554299851.709 * [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))))))) 1554299851.709 * * * * [misc]progress: [ 102 / 253 ] simplifiying candidate # 1554299851.709 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554299851.709 * * [misc]simplify: iters left: 5 (10 enodes) 1554299851.712 * * [misc]simplify: iters left: 4 (37 enodes) 1554299851.718 * * [misc]simplify: iters left: 3 (40 enodes) 1554299851.725 * * [misc]simplify: iters left: 2 (47 enodes) 1554299851.731 * * [misc]simplify: iters left: 1 (48 enodes) 1554299851.739 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.739 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299851.739 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299851.739 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554299851.739 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554299851.740 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554299851.740 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554299851.740 * [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))))))) 1554299851.740 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299851.740 * * [misc]simplify: iters left: 6 (12 enodes) 1554299851.743 * * [misc]simplify: iters left: 5 (41 enodes) 1554299851.749 * * [misc]simplify: iters left: 4 (48 enodes) 1554299851.756 * * [misc]simplify: iters left: 3 (52 enodes) 1554299851.768 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.768 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.768 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.768 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554299851.768 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554299851.769 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554299851.770 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554299851.771 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554299851.771 * [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))))) 1554299851.771 * * * * [misc]progress: [ 103 / 253 ] simplifiying candidate # 1554299851.772 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554299851.772 * * [misc]simplify: iters left: 5 (10 enodes) 1554299851.778 * * [misc]simplify: iters left: 4 (37 enodes) 1554299851.788 * * [misc]simplify: iters left: 3 (40 enodes) 1554299851.800 * * [misc]simplify: iters left: 2 (47 enodes) 1554299851.811 * * [misc]simplify: iters left: 1 (48 enodes) 1554299851.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.817 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299851.817 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299851.817 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554299851.818 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554299851.818 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554299851.818 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554299851.818 * [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))))))) 1554299851.818 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299851.818 * * [misc]simplify: iters left: 6 (12 enodes) 1554299851.821 * * [misc]simplify: iters left: 5 (41 enodes) 1554299851.827 * * [misc]simplify: iters left: 4 (48 enodes) 1554299851.833 * * [misc]simplify: iters left: 3 (52 enodes) 1554299851.840 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.840 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.840 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.840 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554299851.840 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554299851.841 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554299851.843 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554299851.844 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554299851.844 * [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))))) 1554299851.844 * * * * [misc]progress: [ 104 / 253 ] simplifiying candidate # 1554299851.845 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554299851.845 * * [misc]simplify: iters left: 6 (15 enodes) 1554299851.852 * * [misc]simplify: iters left: 5 (55 enodes) 1554299851.869 * * [misc]simplify: iters left: 4 (69 enodes) 1554299851.890 * * [misc]simplify: iters left: 3 (86 enodes) 1554299851.914 * * [misc]simplify: iters left: 2 (95 enodes) 1554299851.927 * * [misc]simplify: iters left: 1 (118 enodes) 1554299851.947 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.947 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299851.947 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299851.948 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299851.948 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554299851.948 * * [misc]simplify: Extracting #5: cost 25 inf + 417 1554299851.949 * * [misc]simplify: Extracting #6: cost 22 inf + 583 1554299851.949 * * [misc]simplify: Extracting #7: cost 17 inf + 913 1554299851.950 * * [misc]simplify: Extracting #8: cost 12 inf + 2372 1554299851.952 * * [misc]simplify: Extracting #9: cost 1 inf + 7497 1554299851.954 * * [misc]simplify: Extracting #10: cost 0 inf + 8032 1554299851.959 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1554299851.959 * [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)))))))) 1554299851.959 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.959 * * [misc]simplify: iters left: 6 (15 enodes) 1554299851.966 * * [misc]simplify: iters left: 5 (51 enodes) 1554299851.977 * * [misc]simplify: iters left: 4 (59 enodes) 1554299851.985 * * [misc]simplify: iters left: 3 (63 enodes) 1554299851.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299851.993 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299851.993 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299851.993 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554299851.993 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554299851.993 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554299851.994 * * [misc]simplify: Extracting #6: cost 7 inf + 3281 1554299851.994 * * [misc]simplify: Extracting #7: cost 1 inf + 6798 1554299851.995 * * [misc]simplify: Extracting #8: cost 0 inf + 7543 1554299851.996 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.996 * [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)))))))) 1554299851.996 * * * * [misc]progress: [ 105 / 253 ] simplifiying candidate # 1554299851.996 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299851.996 * * [misc]simplify: iters left: 6 (14 enodes) 1554299852.000 * * [misc]simplify: iters left: 5 (50 enodes) 1554299852.009 * * [misc]simplify: iters left: 4 (58 enodes) 1554299852.026 * * [misc]simplify: iters left: 3 (67 enodes) 1554299852.044 * * [misc]simplify: iters left: 2 (68 enodes) 1554299852.061 * * [misc]simplify: iters left: 1 (70 enodes) 1554299852.080 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.080 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299852.080 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299852.080 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299852.080 * * [misc]simplify: Extracting #4: cost 18 inf + 5 1554299852.081 * * [misc]simplify: Extracting #5: cost 16 inf + 499 1554299852.081 * * [misc]simplify: Extracting #6: cost 13 inf + 666 1554299852.082 * * [misc]simplify: Extracting #7: cost 2 inf + 3082 1554299852.083 * * [misc]simplify: Extracting #8: cost 0 inf + 3912 1554299852.084 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1554299852.084 * [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)))))))) 1554299852.085 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299852.085 * * [misc]simplify: iters left: 6 (15 enodes) 1554299852.092 * * [misc]simplify: iters left: 5 (51 enodes) 1554299852.106 * * [misc]simplify: iters left: 4 (59 enodes) 1554299852.122 * * [misc]simplify: iters left: 3 (63 enodes) 1554299852.139 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.139 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299852.139 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299852.139 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554299852.139 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554299852.140 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554299852.140 * * [misc]simplify: Extracting #6: cost 7 inf + 3201 1554299852.142 * * [misc]simplify: Extracting #7: cost 1 inf + 6518 1554299852.143 * * [misc]simplify: Extracting #8: cost 0 inf + 7223 1554299852.145 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299852.145 * [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)))))))) 1554299852.145 * * * * [misc]progress: [ 106 / 253 ] simplifiying candidate # 1554299852.145 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 1)) 1554299852.145 * * [misc]simplify: iters left: 5 (8 enodes) 1554299852.148 * * [misc]simplify: iters left: 4 (26 enodes) 1554299852.152 * * [misc]simplify: iters left: 3 (28 enodes) 1554299852.156 * * [misc]simplify: iters left: 2 (30 enodes) 1554299852.159 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.160 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299852.160 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299852.160 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299852.160 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299852.160 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299852.160 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299852.160 * [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))))))) 1554299852.160 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299852.160 * * [misc]simplify: iters left: 6 (14 enodes) 1554299852.163 * * [misc]simplify: iters left: 5 (48 enodes) 1554299852.170 * * [misc]simplify: iters left: 4 (56 enodes) 1554299852.183 * * [misc]simplify: iters left: 3 (60 enodes) 1554299852.199 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.199 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299852.199 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299852.199 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554299852.199 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554299852.200 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554299852.201 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554299852.202 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554299852.205 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554299852.205 * [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))))) 1554299852.205 * * * * [misc]progress: [ 107 / 253 ] simplifiying candidate # 1554299852.206 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554299852.206 * * [misc]simplify: iters left: 5 (7 enodes) 1554299852.210 * * [misc]simplify: iters left: 4 (23 enodes) 1554299852.217 * * [misc]simplify: iters left: 3 (27 enodes) 1554299852.223 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.223 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299852.223 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299852.223 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299852.223 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299852.223 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299852.223 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299852.223 * [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))))))) 1554299852.224 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299852.224 * * [misc]simplify: iters left: 6 (14 enodes) 1554299852.227 * * [misc]simplify: iters left: 5 (48 enodes) 1554299852.234 * * [misc]simplify: iters left: 4 (56 enodes) 1554299852.242 * * [misc]simplify: iters left: 3 (60 enodes) 1554299852.250 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.250 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299852.250 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299852.250 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554299852.251 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554299852.251 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554299852.253 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554299852.254 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554299852.255 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554299852.255 * [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))))) 1554299852.256 * * * * [misc]progress: [ 108 / 253 ] simplifiying candidate # 1554299852.256 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt k)) 1554299852.256 * * [misc]simplify: iters left: 5 (8 enodes) 1554299852.260 * * [misc]simplify: iters left: 4 (26 enodes) 1554299852.268 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.268 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299852.268 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299852.268 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554299852.268 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1554299852.268 * * [misc]simplify: Extracting #5: cost 1 inf + 497 1554299852.269 * * [misc]simplify: Extracting #6: cost 0 inf + 660 1554299852.269 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299852.269 * [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))))))) 1554299852.269 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554299852.269 * * [misc]simplify: iters left: 6 (14 enodes) 1554299852.277 * * [misc]simplify: iters left: 5 (50 enodes) 1554299852.292 * * [misc]simplify: iters left: 4 (56 enodes) 1554299852.308 * * [misc]simplify: iters left: 3 (63 enodes) 1554299852.323 * * [misc]simplify: iters left: 2 (64 enodes) 1554299852.333 * * [misc]simplify: iters left: 1 (66 enodes) 1554299852.341 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.341 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299852.341 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299852.342 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554299852.342 * * [misc]simplify: Extracting #4: cost 21 inf + 5 1554299852.342 * * [misc]simplify: Extracting #5: cost 15 inf + 255 1554299852.342 * * [misc]simplify: Extracting #6: cost 3 inf + 3174 1554299852.343 * * [misc]simplify: Extracting #7: cost 0 inf + 4508 1554299852.343 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2)))) 1554299852.343 * [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)))))) 1554299852.343 * * * * [misc]progress: [ 109 / 253 ] simplifiying candidate # 1554299852.344 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) 1554299852.344 * * [misc]simplify: iters left: 5 (11 enodes) 1554299852.346 * * [misc]simplify: iters left: 4 (38 enodes) 1554299852.355 * * [misc]simplify: iters left: 3 (43 enodes) 1554299852.362 * * [misc]simplify: iters left: 2 (47 enodes) 1554299852.368 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.368 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299852.368 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299852.368 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554299852.368 * * [misc]simplify: Extracting #4: cost 13 inf + 209 1554299852.368 * * [misc]simplify: Extracting #5: cost 1 inf + 1759 1554299852.369 * * [misc]simplify: Extracting #6: cost 0 inf + 1801 1554299852.369 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) 1554299852.369 * [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))))) 1554299852.369 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) 1554299852.369 * * [misc]simplify: iters left: 6 (10 enodes) 1554299852.372 * * [misc]simplify: iters left: 5 (33 enodes) 1554299852.376 * * [misc]simplify: iters left: 4 (35 enodes) 1554299852.381 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.381 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299852.381 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299852.381 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554299852.381 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299852.381 * * [misc]simplify: Extracting #5: cost 5 inf + 842 1554299852.382 * * [misc]simplify: Extracting #6: cost 0 inf + 2838 1554299852.382 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2))) 1554299852.382 * [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))))) 1554299852.382 * * * * [misc]progress: [ 110 / 253 ] simplifiying candidate # 1554299852.382 * [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))))))) 1554299852.382 * * [misc]simplify: iters left: 6 (15 enodes) 1554299852.387 * * [misc]simplify: iters left: 5 (51 enodes) 1554299852.401 * * [misc]simplify: iters left: 4 (58 enodes) 1554299852.417 * * [misc]simplify: iters left: 3 (60 enodes) 1554299852.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.434 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299852.435 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299852.435 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299852.435 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554299852.435 * * [misc]simplify: Extracting #5: cost 19 inf + 171 1554299852.435 * * [misc]simplify: Extracting #6: cost 17 inf + 460 1554299852.436 * * [misc]simplify: Extracting #7: cost 8 inf + 3193 1554299852.437 * * [misc]simplify: Extracting #8: cost 0 inf + 6443 1554299852.438 * [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)))))) 1554299852.438 * [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)))))))) 1554299852.438 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299852.438 * * [misc]simplify: iters left: 6 (15 enodes) 1554299852.442 * * [misc]simplify: iters left: 5 (49 enodes) 1554299852.449 * * [misc]simplify: iters left: 4 (52 enodes) 1554299852.456 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.456 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299852.456 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299852.456 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299852.456 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554299852.456 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554299852.456 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554299852.457 * * [misc]simplify: Extracting #7: cost 3 inf + 3123 1554299852.457 * * [misc]simplify: Extracting #8: cost 0 inf + 5147 1554299852.458 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299852.458 * [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)))))))) 1554299852.458 * * * * [misc]progress: [ 111 / 253 ] simplifiying candidate # 1554299852.458 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299852.458 * * [misc]simplify: iters left: 6 (14 enodes) 1554299852.461 * * [misc]simplify: iters left: 5 (46 enodes) 1554299852.470 * * [misc]simplify: iters left: 4 (51 enodes) 1554299852.484 * * [misc]simplify: iters left: 3 (53 enodes) 1554299852.498 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.498 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299852.498 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299852.498 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299852.498 * * [misc]simplify: Extracting #4: cost 17 inf + 3 1554299852.498 * * [misc]simplify: Extracting #5: cost 16 inf + 129 1554299852.499 * * [misc]simplify: Extracting #6: cost 12 inf + 584 1554299852.499 * * [misc]simplify: Extracting #7: cost 3 inf + 3075 1554299852.499 * * [misc]simplify: Extracting #8: cost 0 inf + 4065 1554299852.500 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299852.500 * [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)))))))) 1554299852.500 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299852.500 * * [misc]simplify: iters left: 6 (15 enodes) 1554299852.504 * * [misc]simplify: iters left: 5 (49 enodes) 1554299852.511 * * [misc]simplify: iters left: 4 (52 enodes) 1554299852.518 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.518 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299852.518 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299852.518 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299852.518 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554299852.518 * * [misc]simplify: Extracting #5: cost 15 inf + 377 1554299852.518 * * [misc]simplify: Extracting #6: cost 10 inf + 1167 1554299852.519 * * [misc]simplify: Extracting #7: cost 3 inf + 3083 1554299852.519 * * [misc]simplify: Extracting #8: cost 0 inf + 4987 1554299852.519 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299852.520 * [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)))))))) 1554299852.520 * * * * [misc]progress: [ 112 / 253 ] simplifiying candidate # 1554299852.520 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299852.520 * * [misc]simplify: iters left: 6 (13 enodes) 1554299852.523 * * [misc]simplify: iters left: 5 (46 enodes) 1554299852.531 * * [misc]simplify: iters left: 4 (58 enodes) 1554299852.546 * * [misc]simplify: iters left: 3 (77 enodes) 1554299852.567 * * [misc]simplify: iters left: 2 (83 enodes) 1554299852.588 * * [misc]simplify: iters left: 1 (91 enodes) 1554299852.610 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.611 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299852.611 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299852.611 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554299852.611 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554299852.612 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554299852.613 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554299852.616 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554299852.618 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554299852.618 * [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))))))) 1554299852.618 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299852.618 * * [misc]simplify: iters left: 6 (13 enodes) 1554299852.624 * * [misc]simplify: iters left: 5 (44 enodes) 1554299852.636 * * [misc]simplify: iters left: 4 (51 enodes) 1554299852.650 * * [misc]simplify: iters left: 3 (55 enodes) 1554299852.664 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.664 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299852.665 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299852.665 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299852.665 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554299852.665 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554299852.666 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554299852.667 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554299852.668 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554299852.669 * [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)))))) 1554299852.669 * * * * [misc]progress: [ 113 / 253 ] simplifiying candidate # 1554299852.669 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299852.669 * * [misc]simplify: iters left: 6 (13 enodes) 1554299852.678 * * [misc]simplify: iters left: 5 (46 enodes) 1554299852.691 * * [misc]simplify: iters left: 4 (58 enodes) 1554299852.708 * * [misc]simplify: iters left: 3 (77 enodes) 1554299852.727 * * [misc]simplify: iters left: 2 (83 enodes) 1554299852.737 * * [misc]simplify: iters left: 1 (91 enodes) 1554299852.749 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.749 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299852.749 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299852.749 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554299852.749 * * [misc]simplify: Extracting #4: cost 31 inf + 87 1554299852.750 * * [misc]simplify: Extracting #5: cost 18 inf + 1671 1554299852.750 * * [misc]simplify: Extracting #6: cost 4 inf + 5432 1554299852.751 * * [misc]simplify: Extracting #7: cost 0 inf + 6362 1554299852.753 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554299852.753 * [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))))))) 1554299852.753 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299852.753 * * [misc]simplify: iters left: 6 (13 enodes) 1554299852.756 * * [misc]simplify: iters left: 5 (44 enodes) 1554299852.767 * * [misc]simplify: iters left: 4 (51 enodes) 1554299852.781 * * [misc]simplify: iters left: 3 (55 enodes) 1554299852.797 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.797 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299852.797 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299852.797 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299852.797 * * [misc]simplify: Extracting #4: cost 20 inf + 248 1554299852.797 * * [misc]simplify: Extracting #5: cost 14 inf + 618 1554299852.798 * * [misc]simplify: Extracting #6: cost 2 inf + 5214 1554299852.799 * * [misc]simplify: Extracting #7: cost 0 inf + 6542 1554299852.801 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))) 1554299852.801 * [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)))))) 1554299852.801 * * * * [misc]progress: [ 114 / 253 ] simplifiying candidate # 1554299852.802 * [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))))))) 1554299852.802 * * [misc]simplify: iters left: 6 (17 enodes) 1554299852.810 * * [misc]simplify: iters left: 5 (63 enodes) 1554299852.829 * * [misc]simplify: iters left: 4 (97 enodes) 1554299852.843 * * [misc]simplify: iters left: 3 (136 enodes) 1554299852.866 * * [misc]simplify: iters left: 2 (166 enodes) 1554299852.907 * * [misc]simplify: iters left: 1 (200 enodes) 1554299852.945 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299852.945 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554299852.945 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554299852.946 * * [misc]simplify: Extracting #3: cost 62 inf + 1 1554299852.946 * * [misc]simplify: Extracting #4: cost 57 inf + 449 1554299852.948 * * [misc]simplify: Extracting #5: cost 30 inf + 10699 1554299852.956 * * [misc]simplify: Extracting #6: cost 3 inf + 24432 1554299852.964 * * [misc]simplify: Extracting #7: cost 0 inf + 25621 1554299852.972 * [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))))) 1554299852.972 * [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)))))))) 1554299852.973 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299852.973 * * [misc]simplify: iters left: 6 (16 enodes) 1554299852.981 * * [misc]simplify: iters left: 5 (54 enodes) 1554299852.996 * * [misc]simplify: iters left: 4 (62 enodes) 1554299853.010 * * [misc]simplify: iters left: 3 (66 enodes) 1554299853.020 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.020 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.020 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.020 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299853.020 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554299853.021 * * [misc]simplify: Extracting #5: cost 8 inf + 3761 1554299853.021 * * [misc]simplify: Extracting #6: cost 2 inf + 6655 1554299853.022 * * [misc]simplify: Extracting #7: cost 0 inf + 8105 1554299853.023 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299853.023 * [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))))))) 1554299853.023 * * * * [misc]progress: [ 115 / 253 ] simplifiying candidate # 1554299853.023 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299853.023 * * [misc]simplify: iters left: 6 (16 enodes) 1554299853.027 * * [misc]simplify: iters left: 5 (56 enodes) 1554299853.036 * * [misc]simplify: iters left: 4 (73 enodes) 1554299853.046 * * [misc]simplify: iters left: 3 (94 enodes) 1554299853.062 * * [misc]simplify: iters left: 2 (100 enodes) 1554299853.087 * * [misc]simplify: iters left: 1 (108 enodes) 1554299853.101 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.101 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299853.101 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299853.101 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554299853.101 * * [misc]simplify: Extracting #4: cost 39 inf + 5 1554299853.101 * * [misc]simplify: Extracting #5: cost 25 inf + 2311 1554299853.102 * * [misc]simplify: Extracting #6: cost 3 inf + 10793 1554299853.105 * * [misc]simplify: Extracting #7: cost 0 inf + 11532 1554299853.107 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (cbrt (sqrt k))) 1554299853.107 * [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)))))))) 1554299853.107 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299853.107 * * [misc]simplify: iters left: 6 (16 enodes) 1554299853.111 * * [misc]simplify: iters left: 5 (54 enodes) 1554299853.119 * * [misc]simplify: iters left: 4 (62 enodes) 1554299853.137 * * [misc]simplify: iters left: 3 (66 enodes) 1554299853.154 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.154 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.154 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.154 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299853.154 * * [misc]simplify: Extracting #4: cost 23 inf + 412 1554299853.155 * * [misc]simplify: Extracting #5: cost 8 inf + 3681 1554299853.156 * * [misc]simplify: Extracting #6: cost 2 inf + 6415 1554299853.158 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554299853.159 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299853.160 * [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))))))) 1554299853.160 * * * * [misc]progress: [ 116 / 253 ] simplifiying candidate # 1554299853.160 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299853.160 * * [misc]simplify: iters left: 6 (12 enodes) 1554299853.167 * * [misc]simplify: iters left: 5 (42 enodes) 1554299853.180 * * [misc]simplify: iters left: 4 (57 enodes) 1554299853.197 * * [misc]simplify: iters left: 3 (68 enodes) 1554299853.214 * * [misc]simplify: iters left: 2 (75 enodes) 1554299853.225 * * [misc]simplify: iters left: 1 (88 enodes) 1554299853.239 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.239 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299853.239 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299853.239 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299853.240 * * [misc]simplify: Extracting #4: cost 23 inf + 5 1554299853.240 * * [misc]simplify: Extracting #5: cost 11 inf + 1670 1554299853.240 * * [misc]simplify: Extracting #6: cost 2 inf + 3448 1554299853.241 * * [misc]simplify: Extracting #7: cost 0 inf + 3933 1554299853.242 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299853.242 * [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))))))) 1554299853.242 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299853.242 * * [misc]simplify: iters left: 6 (15 enodes) 1554299853.247 * * [misc]simplify: iters left: 5 (51 enodes) 1554299853.261 * * [misc]simplify: iters left: 4 (59 enodes) 1554299853.277 * * [misc]simplify: iters left: 3 (63 enodes) 1554299853.289 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.290 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.290 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299853.290 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299853.290 * * [misc]simplify: Extracting #4: cost 22 inf + 290 1554299853.290 * * [misc]simplify: Extracting #5: cost 8 inf + 3304 1554299853.291 * * [misc]simplify: Extracting #6: cost 1 inf + 6372 1554299853.292 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554299853.292 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554299853.292 * [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))))))) 1554299853.292 * * * * [misc]progress: [ 117 / 253 ] simplifiying candidate # 1554299853.293 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299853.293 * * [misc]simplify: iters left: 6 (12 enodes) 1554299853.296 * * [misc]simplify: iters left: 5 (41 enodes) 1554299853.301 * * [misc]simplify: iters left: 4 (46 enodes) 1554299853.308 * * [misc]simplify: iters left: 3 (50 enodes) 1554299853.314 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.314 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.315 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.315 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554299853.315 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554299853.315 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554299853.316 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554299853.317 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554299853.317 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554299853.318 * [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))))))) 1554299853.318 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299853.318 * * [misc]simplify: iters left: 6 (13 enodes) 1554299853.324 * * [misc]simplify: iters left: 5 (44 enodes) 1554299853.338 * * [misc]simplify: iters left: 4 (51 enodes) 1554299853.352 * * [misc]simplify: iters left: 3 (55 enodes) 1554299853.367 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.367 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.367 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.367 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299853.367 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554299853.368 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554299853.369 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554299853.370 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554299853.371 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554299853.371 * [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)))))) 1554299853.371 * * * * [misc]progress: [ 118 / 253 ] simplifiying candidate # 1554299853.372 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299853.372 * * [misc]simplify: iters left: 6 (12 enodes) 1554299853.378 * * [misc]simplify: iters left: 5 (41 enodes) 1554299853.384 * * [misc]simplify: iters left: 4 (46 enodes) 1554299853.390 * * [misc]simplify: iters left: 3 (50 enodes) 1554299853.397 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.397 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.397 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.397 * * [misc]simplify: Extracting #3: cost 19 inf + 84 1554299853.397 * * [misc]simplify: Extracting #4: cost 16 inf + 87 1554299853.397 * * [misc]simplify: Extracting #5: cost 6 inf + 1026 1554299853.398 * * [misc]simplify: Extracting #6: cost 1 inf + 2041 1554299853.398 * * [misc]simplify: Extracting #7: cost 0 inf + 2203 1554299853.398 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt (sqrt k))) 1554299853.399 * [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))))))) 1554299853.399 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299853.399 * * [misc]simplify: iters left: 6 (13 enodes) 1554299853.402 * * [misc]simplify: iters left: 5 (44 enodes) 1554299853.408 * * [misc]simplify: iters left: 4 (51 enodes) 1554299853.422 * * [misc]simplify: iters left: 3 (55 enodes) 1554299853.437 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.437 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.437 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.437 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299853.437 * * [misc]simplify: Extracting #4: cost 20 inf + 208 1554299853.438 * * [misc]simplify: Extracting #5: cost 14 inf + 538 1554299853.438 * * [misc]simplify: Extracting #6: cost 2 inf + 4934 1554299853.440 * * [misc]simplify: Extracting #7: cost 0 inf + 6222 1554299853.441 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))) 1554299853.441 * [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)))))) 1554299853.441 * * * * [misc]progress: [ 119 / 253 ] simplifiying candidate # 1554299853.441 * [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))))))) 1554299853.442 * * [misc]simplify: iters left: 6 (16 enodes) 1554299853.449 * * [misc]simplify: iters left: 5 (56 enodes) 1554299853.467 * * [misc]simplify: iters left: 4 (72 enodes) 1554299853.488 * * [misc]simplify: iters left: 3 (86 enodes) 1554299853.511 * * [misc]simplify: iters left: 2 (94 enodes) 1554299853.534 * * [misc]simplify: iters left: 1 (100 enodes) 1554299853.547 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.547 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299853.547 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554299853.547 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299853.547 * * [misc]simplify: Extracting #4: cost 36 inf + 5 1554299853.548 * * [misc]simplify: Extracting #5: cost 30 inf + 539 1554299853.548 * * [misc]simplify: Extracting #6: cost 18 inf + 3791 1554299853.549 * * [misc]simplify: Extracting #7: cost 2 inf + 10786 1554299853.551 * * [misc]simplify: Extracting #8: cost 0 inf + 11855 1554299853.553 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554299853.553 * [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)))))))) 1554299853.553 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299853.553 * * [misc]simplify: iters left: 6 (16 enodes) 1554299853.557 * * [misc]simplify: iters left: 5 (54 enodes) 1554299853.565 * * [misc]simplify: iters left: 4 (62 enodes) 1554299853.576 * * [misc]simplify: iters left: 3 (66 enodes) 1554299853.584 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.584 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.584 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.584 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299853.585 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299853.585 * * [misc]simplify: Extracting #5: cost 8 inf + 3601 1554299853.586 * * [misc]simplify: Extracting #6: cost 2 inf + 6375 1554299853.586 * * [misc]simplify: Extracting #7: cost 0 inf + 7785 1554299853.587 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299853.587 * [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))))))) 1554299853.587 * * * * [misc]progress: [ 120 / 253 ] simplifiying candidate # 1554299853.588 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299853.588 * * [misc]simplify: iters left: 6 (15 enodes) 1554299853.591 * * [misc]simplify: iters left: 5 (51 enodes) 1554299853.599 * * [misc]simplify: iters left: 4 (61 enodes) 1554299853.607 * * [misc]simplify: iters left: 3 (67 enodes) 1554299853.616 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.616 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.616 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.616 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299853.616 * * [misc]simplify: Extracting #4: cost 24 inf + 5 1554299853.616 * * [misc]simplify: Extracting #5: cost 19 inf + 579 1554299853.617 * * [misc]simplify: Extracting #6: cost 8 inf + 2440 1554299853.617 * * [misc]simplify: Extracting #7: cost 0 inf + 5623 1554299853.618 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (sqrt (sqrt k)))) 1554299853.618 * [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)))))))) 1554299853.618 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299853.619 * * [misc]simplify: iters left: 6 (16 enodes) 1554299853.622 * * [misc]simplify: iters left: 5 (54 enodes) 1554299853.631 * * [misc]simplify: iters left: 4 (62 enodes) 1554299853.641 * * [misc]simplify: iters left: 3 (66 enodes) 1554299853.659 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.659 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.659 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.659 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299853.659 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299853.660 * * [misc]simplify: Extracting #5: cost 8 inf + 3521 1554299853.661 * * [misc]simplify: Extracting #6: cost 2 inf + 6135 1554299853.663 * * [misc]simplify: Extracting #7: cost 0 inf + 7465 1554299853.664 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow PI (+ 1/2 (/ (- k) 2))))) 1554299853.664 * [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))))))) 1554299853.665 * * * * [misc]progress: [ 121 / 253 ] simplifiying candidate # 1554299853.665 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt (sqrt k)) 1)) 1554299853.665 * * [misc]simplify: iters left: 6 (11 enodes) 1554299853.673 * * [misc]simplify: iters left: 5 (37 enodes) 1554299853.684 * * [misc]simplify: iters left: 4 (41 enodes) 1554299853.696 * * [misc]simplify: iters left: 3 (44 enodes) 1554299853.708 * * [misc]simplify: iters left: 2 (45 enodes) 1554299853.720 * * [misc]simplify: iters left: 1 (47 enodes) 1554299853.732 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.733 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299853.733 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299853.733 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554299853.733 * * [misc]simplify: Extracting #4: cost 12 inf + 5 1554299853.733 * * [misc]simplify: Extracting #5: cost 3 inf + 700 1554299853.734 * * [misc]simplify: Extracting #6: cost 0 inf + 1309 1554299853.734 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554299853.734 * [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))))))) 1554299853.735 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299853.735 * * [misc]simplify: iters left: 6 (15 enodes) 1554299853.743 * * [misc]simplify: iters left: 5 (51 enodes) 1554299853.758 * * [misc]simplify: iters left: 4 (59 enodes) 1554299853.775 * * [misc]simplify: iters left: 3 (63 enodes) 1554299853.792 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.792 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.792 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299853.792 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299853.792 * * [misc]simplify: Extracting #4: cost 22 inf + 250 1554299853.793 * * [misc]simplify: Extracting #5: cost 8 inf + 3104 1554299853.794 * * [misc]simplify: Extracting #6: cost 1 inf + 6052 1554299853.795 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554299853.797 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (+ 1/2 (/ (- k) 2))))) 1554299853.797 * [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))))))) 1554299853.797 * * * * [misc]progress: [ 122 / 253 ] simplifiying candidate # 1554299853.797 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554299853.798 * * [misc]simplify: iters left: 5 (10 enodes) 1554299853.802 * * [misc]simplify: iters left: 4 (37 enodes) 1554299853.808 * * [misc]simplify: iters left: 3 (40 enodes) 1554299853.816 * * [misc]simplify: iters left: 2 (47 enodes) 1554299853.823 * * [misc]simplify: iters left: 1 (48 enodes) 1554299853.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.830 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299853.830 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299853.830 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554299853.830 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554299853.830 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554299853.831 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554299853.831 * [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))))))) 1554299853.831 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299853.831 * * [misc]simplify: iters left: 6 (12 enodes) 1554299853.834 * * [misc]simplify: iters left: 5 (41 enodes) 1554299853.842 * * [misc]simplify: iters left: 4 (48 enodes) 1554299853.856 * * [misc]simplify: iters left: 3 (52 enodes) 1554299853.870 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.870 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.870 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.870 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554299853.870 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554299853.871 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554299853.872 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554299853.874 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554299853.874 * [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))))) 1554299853.874 * * * * [misc]progress: [ 123 / 253 ] simplifiying candidate # 1554299853.874 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (pow PI 1/2))) 1554299853.874 * * [misc]simplify: iters left: 5 (10 enodes) 1554299853.880 * * [misc]simplify: iters left: 4 (37 enodes) 1554299853.892 * * [misc]simplify: iters left: 3 (40 enodes) 1554299853.904 * * [misc]simplify: iters left: 2 (47 enodes) 1554299853.917 * * [misc]simplify: iters left: 1 (48 enodes) 1554299853.930 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.930 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299853.930 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299853.930 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554299853.930 * * [misc]simplify: Extracting #4: cost 7 inf + 251 1554299853.931 * * [misc]simplify: Extracting #5: cost 0 inf + 948 1554299853.931 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1554299853.931 * [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))))))) 1554299853.932 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299853.932 * * [misc]simplify: iters left: 6 (12 enodes) 1554299853.938 * * [misc]simplify: iters left: 5 (41 enodes) 1554299853.949 * * [misc]simplify: iters left: 4 (48 enodes) 1554299853.964 * * [misc]simplify: iters left: 3 (52 enodes) 1554299853.979 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299853.979 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299853.979 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299853.979 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554299853.979 * * [misc]simplify: Extracting #4: cost 15 inf + 877 1554299853.980 * * [misc]simplify: Extracting #5: cost 2 inf + 5114 1554299853.981 * * [misc]simplify: Extracting #6: cost 0 inf + 5820 1554299853.982 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (/ (- k) 2)) (sqrt k)) (pow PI (/ (- k) 2))) 1554299853.982 * [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))))) 1554299853.982 * * * * [misc]progress: [ 124 / 253 ] simplifiying candidate # 1554299853.983 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554299853.983 * * [misc]simplify: iters left: 6 (15 enodes) 1554299853.991 * * [misc]simplify: iters left: 5 (55 enodes) 1554299854.007 * * [misc]simplify: iters left: 4 (69 enodes) 1554299854.027 * * [misc]simplify: iters left: 3 (86 enodes) 1554299854.042 * * [misc]simplify: iters left: 2 (95 enodes) 1554299854.055 * * [misc]simplify: iters left: 1 (118 enodes) 1554299854.082 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.082 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299854.082 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299854.082 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299854.082 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554299854.083 * * [misc]simplify: Extracting #5: cost 25 inf + 417 1554299854.083 * * [misc]simplify: Extracting #6: cost 22 inf + 583 1554299854.084 * * [misc]simplify: Extracting #7: cost 17 inf + 913 1554299854.084 * * [misc]simplify: Extracting #8: cost 12 inf + 2372 1554299854.086 * * [misc]simplify: Extracting #9: cost 1 inf + 7497 1554299854.089 * * [misc]simplify: Extracting #10: cost 0 inf + 8032 1554299854.092 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1554299854.092 * [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)))))))) 1554299854.092 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299854.092 * * [misc]simplify: iters left: 6 (15 enodes) 1554299854.096 * * [misc]simplify: iters left: 5 (51 enodes) 1554299854.103 * * [misc]simplify: iters left: 4 (59 enodes) 1554299854.112 * * [misc]simplify: iters left: 3 (63 enodes) 1554299854.120 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.120 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.120 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299854.120 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554299854.120 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554299854.120 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554299854.121 * * [misc]simplify: Extracting #6: cost 7 inf + 3281 1554299854.121 * * [misc]simplify: Extracting #7: cost 1 inf + 6798 1554299854.122 * * [misc]simplify: Extracting #8: cost 0 inf + 7543 1554299854.123 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299854.123 * [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)))))))) 1554299854.123 * * * * [misc]progress: [ 125 / 253 ] simplifiying candidate # 1554299854.123 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299854.123 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.129 * * [misc]simplify: iters left: 5 (50 enodes) 1554299854.143 * * [misc]simplify: iters left: 4 (58 enodes) 1554299854.160 * * [misc]simplify: iters left: 3 (67 enodes) 1554299854.177 * * [misc]simplify: iters left: 2 (68 enodes) 1554299854.196 * * [misc]simplify: iters left: 1 (70 enodes) 1554299854.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.212 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299854.212 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299854.212 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299854.212 * * [misc]simplify: Extracting #4: cost 18 inf + 5 1554299854.212 * * [misc]simplify: Extracting #5: cost 16 inf + 499 1554299854.212 * * [misc]simplify: Extracting #6: cost 13 inf + 666 1554299854.213 * * [misc]simplify: Extracting #7: cost 2 inf + 3082 1554299854.214 * * [misc]simplify: Extracting #8: cost 0 inf + 3912 1554299854.214 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1554299854.214 * [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)))))))) 1554299854.214 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299854.214 * * [misc]simplify: iters left: 6 (15 enodes) 1554299854.218 * * [misc]simplify: iters left: 5 (51 enodes) 1554299854.225 * * [misc]simplify: iters left: 4 (59 enodes) 1554299854.233 * * [misc]simplify: iters left: 3 (63 enodes) 1554299854.249 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.249 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.249 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299854.250 * * [misc]simplify: Extracting #3: cost 25 inf + 42 1554299854.250 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554299854.250 * * [misc]simplify: Extracting #5: cost 13 inf + 1951 1554299854.251 * * [misc]simplify: Extracting #6: cost 7 inf + 3201 1554299854.252 * * [misc]simplify: Extracting #7: cost 1 inf + 6518 1554299854.253 * * [misc]simplify: Extracting #8: cost 0 inf + 7223 1554299854.255 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299854.255 * [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)))))))) 1554299854.255 * * * * [misc]progress: [ 126 / 253 ] simplifiying candidate # 1554299854.255 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ 1 1)) 1554299854.256 * * [misc]simplify: iters left: 5 (8 enodes) 1554299854.260 * * [misc]simplify: iters left: 4 (26 enodes) 1554299854.265 * * [misc]simplify: iters left: 3 (28 enodes) 1554299854.269 * * [misc]simplify: iters left: 2 (30 enodes) 1554299854.272 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.273 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299854.273 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299854.273 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299854.273 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299854.273 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299854.273 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299854.273 * [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))))))) 1554299854.273 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299854.273 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.276 * * [misc]simplify: iters left: 5 (48 enodes) 1554299854.283 * * [misc]simplify: iters left: 4 (56 enodes) 1554299854.293 * * [misc]simplify: iters left: 3 (60 enodes) 1554299854.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.308 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.308 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299854.308 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554299854.308 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554299854.310 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554299854.311 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554299854.312 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554299854.313 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554299854.313 * [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))))) 1554299854.314 * * * * [misc]progress: [ 127 / 253 ] simplifiying candidate # 1554299854.314 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554299854.314 * * [misc]simplify: iters left: 5 (7 enodes) 1554299854.318 * * [misc]simplify: iters left: 4 (23 enodes) 1554299854.326 * * [misc]simplify: iters left: 3 (27 enodes) 1554299854.331 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.331 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299854.331 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299854.331 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299854.331 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299854.332 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299854.332 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299854.332 * [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))))))) 1554299854.332 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299854.332 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.335 * * [misc]simplify: iters left: 5 (48 enodes) 1554299854.342 * * [misc]simplify: iters left: 4 (56 enodes) 1554299854.350 * * [misc]simplify: iters left: 3 (60 enodes) 1554299854.358 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.358 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.358 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299854.358 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554299854.359 * * [misc]simplify: Extracting #4: cost 20 inf + 210 1554299854.359 * * [misc]simplify: Extracting #5: cost 5 inf + 3693 1554299854.360 * * [misc]simplify: Extracting #6: cost 0 inf + 6195 1554299854.362 * * [misc]simplify: Extracting #7: cost 0 inf + 6155 1554299854.363 * [exit]simplify: Simplified to (* (pow PI (+ (/ (- k) 2) 1/2)) (/ (pow (* n 2) (/ (- k) 2)) (sqrt k))) 1554299854.363 * [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))))) 1554299854.363 * * * * [misc]progress: [ 128 / 253 ] simplifiying candidate # 1554299854.364 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt k)) 1554299854.364 * * [misc]simplify: iters left: 5 (8 enodes) 1554299854.368 * * [misc]simplify: iters left: 4 (26 enodes) 1554299854.376 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.376 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299854.376 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299854.376 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554299854.376 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1554299854.376 * * [misc]simplify: Extracting #5: cost 1 inf + 497 1554299854.376 * * [misc]simplify: Extracting #6: cost 0 inf + 660 1554299854.377 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299854.377 * [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))))))) 1554299854.377 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554299854.377 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.384 * * [misc]simplify: iters left: 5 (50 enodes) 1554299854.394 * * [misc]simplify: iters left: 4 (56 enodes) 1554299854.404 * * [misc]simplify: iters left: 3 (63 enodes) 1554299854.413 * * [misc]simplify: iters left: 2 (64 enodes) 1554299854.426 * * [misc]simplify: iters left: 1 (66 enodes) 1554299854.442 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.442 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299854.442 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299854.443 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554299854.443 * * [misc]simplify: Extracting #4: cost 21 inf + 5 1554299854.443 * * [misc]simplify: Extracting #5: cost 15 inf + 255 1554299854.444 * * [misc]simplify: Extracting #6: cost 3 inf + 3174 1554299854.445 * * [misc]simplify: Extracting #7: cost 0 inf + 4508 1554299854.446 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2)))) 1554299854.446 * [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)))))) 1554299854.446 * * * * [misc]progress: [ 129 / 253 ] simplifiying candidate # 1554299854.446 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (/ (sqrt k) (pow PI 1/2))) 1554299854.446 * * [misc]simplify: iters left: 5 (11 enodes) 1554299854.452 * * [misc]simplify: iters left: 4 (38 enodes) 1554299854.462 * * [misc]simplify: iters left: 3 (43 enodes) 1554299854.474 * * [misc]simplify: iters left: 2 (47 enodes) 1554299854.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.482 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.482 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299854.482 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554299854.482 * * [misc]simplify: Extracting #4: cost 13 inf + 209 1554299854.482 * * [misc]simplify: Extracting #5: cost 1 inf + 1759 1554299854.483 * * [misc]simplify: Extracting #6: cost 0 inf + 1801 1554299854.483 * [exit]simplify: Simplified to (/ (* (sqrt (* n 2)) (sqrt PI)) (sqrt k)) 1554299854.483 * [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))))) 1554299854.483 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) 1554299854.483 * * [misc]simplify: iters left: 6 (10 enodes) 1554299854.485 * * [misc]simplify: iters left: 5 (33 enodes) 1554299854.490 * * [misc]simplify: iters left: 4 (35 enodes) 1554299854.495 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.495 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299854.495 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299854.495 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554299854.495 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299854.495 * * [misc]simplify: Extracting #5: cost 5 inf + 842 1554299854.495 * * [misc]simplify: Extracting #6: cost 0 inf + 2838 1554299854.495 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (pow PI (/ k 2))) 1554299854.495 * [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))))) 1554299854.496 * * * * [misc]progress: [ 130 / 253 ] simplifiying candidate # 1554299854.496 * [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))))))) 1554299854.496 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.501 * * [misc]simplify: iters left: 5 (46 enodes) 1554299854.515 * * [misc]simplify: iters left: 4 (53 enodes) 1554299854.530 * * [misc]simplify: iters left: 3 (55 enodes) 1554299854.537 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.537 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299854.537 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554299854.537 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299854.538 * * [misc]simplify: Extracting #4: cost 26 inf + 2 1554299854.538 * * [misc]simplify: Extracting #5: cost 16 inf + 712 1554299854.538 * * [misc]simplify: Extracting #6: cost 4 inf + 4694 1554299854.539 * * [misc]simplify: Extracting #7: cost 0 inf + 7303 1554299854.539 * [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))))))) 1554299854.540 * [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)))))))) 1554299854.540 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299854.540 * * [misc]simplify: iters left: 6 (12 enodes) 1554299854.543 * * [misc]simplify: iters left: 5 (38 enodes) 1554299854.548 * * [misc]simplify: iters left: 4 (43 enodes) 1554299854.554 * * [misc]simplify: iters left: 3 (45 enodes) 1554299854.560 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.561 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299854.561 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299854.561 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554299854.561 * * [misc]simplify: Extracting #4: cost 21 inf + 2 1554299854.561 * * [misc]simplify: Extracting #5: cost 16 inf + 169 1554299854.561 * * [misc]simplify: Extracting #6: cost 7 inf + 1755 1554299854.562 * * [misc]simplify: Extracting #7: cost 0 inf + 4820 1554299854.563 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299854.563 * [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)))))))) 1554299854.563 * * * * [misc]progress: [ 131 / 253 ] simplifiying candidate # 1554299854.564 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299854.564 * * [misc]simplify: iters left: 6 (13 enodes) 1554299854.570 * * [misc]simplify: iters left: 5 (41 enodes) 1554299854.581 * * [misc]simplify: iters left: 4 (46 enodes) 1554299854.594 * * [misc]simplify: iters left: 3 (48 enodes) 1554299854.607 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.607 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299854.607 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299854.607 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554299854.607 * * [misc]simplify: Extracting #4: cost 22 inf + 2 1554299854.608 * * [misc]simplify: Extracting #5: cost 14 inf + 588 1554299854.608 * * [misc]simplify: Extracting #6: cost 4 inf + 2918 1554299854.609 * * [misc]simplify: Extracting #7: cost 0 inf + 4665 1554299854.610 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299854.610 * [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)))))))) 1554299854.611 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299854.611 * * [misc]simplify: iters left: 6 (12 enodes) 1554299854.616 * * [misc]simplify: iters left: 5 (38 enodes) 1554299854.627 * * [misc]simplify: iters left: 4 (43 enodes) 1554299854.639 * * [misc]simplify: iters left: 3 (45 enodes) 1554299854.653 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.653 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299854.653 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299854.653 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554299854.654 * * [misc]simplify: Extracting #4: cost 21 inf + 2 1554299854.654 * * [misc]simplify: Extracting #5: cost 16 inf + 169 1554299854.654 * * [misc]simplify: Extracting #6: cost 7 inf + 1755 1554299854.655 * * [misc]simplify: Extracting #7: cost 0 inf + 4660 1554299854.656 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299854.656 * [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)))))))) 1554299854.656 * * * * [misc]progress: [ 132 / 253 ] simplifiying candidate # 1554299854.657 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299854.657 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.663 * * [misc]simplify: iters left: 5 (49 enodes) 1554299854.677 * * [misc]simplify: iters left: 4 (66 enodes) 1554299854.696 * * [misc]simplify: iters left: 3 (87 enodes) 1554299854.717 * * [misc]simplify: iters left: 2 (93 enodes) 1554299854.729 * * [misc]simplify: iters left: 1 (101 enodes) 1554299854.742 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.742 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299854.742 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554299854.742 * * [misc]simplify: Extracting #3: cost 34 inf + 85 1554299854.743 * * [misc]simplify: Extracting #4: cost 34 inf + 289 1554299854.743 * * [misc]simplify: Extracting #5: cost 24 inf + 1747 1554299854.745 * * [misc]simplify: Extracting #6: cost 6 inf + 7440 1554299854.747 * * [misc]simplify: Extracting #7: cost 0 inf + 10365 1554299854.750 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554299854.750 * [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))))))) 1554299854.751 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299854.751 * * [misc]simplify: iters left: 6 (13 enodes) 1554299854.757 * * [misc]simplify: iters left: 5 (44 enodes) 1554299854.772 * * [misc]simplify: iters left: 4 (52 enodes) 1554299854.787 * * [misc]simplify: iters left: 3 (56 enodes) 1554299854.802 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.802 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.802 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299854.802 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554299854.802 * * [misc]simplify: Extracting #4: cost 18 inf + 372 1554299854.803 * * [misc]simplify: Extracting #5: cost 8 inf + 2156 1554299854.804 * * [misc]simplify: Extracting #6: cost 0 inf + 6464 1554299854.805 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554299854.805 * [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)))))) 1554299854.805 * * * * [misc]progress: [ 133 / 253 ] simplifiying candidate # 1554299854.806 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299854.806 * * [misc]simplify: iters left: 6 (14 enodes) 1554299854.813 * * [misc]simplify: iters left: 5 (49 enodes) 1554299854.827 * * [misc]simplify: iters left: 4 (66 enodes) 1554299854.846 * * [misc]simplify: iters left: 3 (87 enodes) 1554299854.861 * * [misc]simplify: iters left: 2 (93 enodes) 1554299854.873 * * [misc]simplify: iters left: 1 (101 enodes) 1554299854.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.886 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299854.886 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554299854.887 * * [misc]simplify: Extracting #3: cost 34 inf + 85 1554299854.887 * * [misc]simplify: Extracting #4: cost 34 inf + 289 1554299854.888 * * [misc]simplify: Extracting #5: cost 24 inf + 1747 1554299854.888 * * [misc]simplify: Extracting #6: cost 6 inf + 7440 1554299854.891 * * [misc]simplify: Extracting #7: cost 0 inf + 10365 1554299854.894 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554299854.894 * [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))))))) 1554299854.894 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299854.894 * * [misc]simplify: iters left: 6 (13 enodes) 1554299854.901 * * [misc]simplify: iters left: 5 (44 enodes) 1554299854.913 * * [misc]simplify: iters left: 4 (52 enodes) 1554299854.928 * * [misc]simplify: iters left: 3 (56 enodes) 1554299854.944 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299854.944 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299854.944 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299854.944 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554299854.944 * * [misc]simplify: Extracting #4: cost 18 inf + 372 1554299854.945 * * [misc]simplify: Extracting #5: cost 8 inf + 2156 1554299854.946 * * [misc]simplify: Extracting #6: cost 0 inf + 6464 1554299854.947 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554299854.947 * [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)))))) 1554299854.947 * * * * [misc]progress: [ 134 / 253 ] simplifiying candidate # 1554299854.948 * [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))))))) 1554299854.948 * * [misc]simplify: iters left: 6 (16 enodes) 1554299854.956 * * [misc]simplify: iters left: 5 (58 enodes) 1554299854.974 * * [misc]simplify: iters left: 4 (92 enodes) 1554299855.004 * * [misc]simplify: iters left: 3 (131 enodes) 1554299855.030 * * [misc]simplify: iters left: 2 (161 enodes) 1554299855.060 * * [misc]simplify: iters left: 1 (195 enodes) 1554299855.121 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.121 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554299855.121 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554299855.122 * * [misc]simplify: Extracting #3: cost 62 inf + 1 1554299855.122 * * [misc]simplify: Extracting #4: cost 59 inf + 448 1554299855.123 * * [misc]simplify: Extracting #5: cost 43 inf + 4096 1554299855.124 * * [misc]simplify: Extracting #6: cost 25 inf + 13589 1554299855.128 * * [misc]simplify: Extracting #7: cost 1 inf + 29064 1554299855.132 * * [misc]simplify: Extracting #8: cost 0 inf + 29729 1554299855.138 * [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))))) 1554299855.138 * [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)))))))) 1554299855.138 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299855.138 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.142 * * [misc]simplify: iters left: 5 (43 enodes) 1554299855.148 * * [misc]simplify: iters left: 4 (53 enodes) 1554299855.156 * * [misc]simplify: iters left: 3 (59 enodes) 1554299855.165 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.165 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.165 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.165 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299855.165 * * [misc]simplify: Extracting #4: cost 19 inf + 452 1554299855.165 * * [misc]simplify: Extracting #5: cost 13 inf + 1740 1554299855.166 * * [misc]simplify: Extracting #6: cost 1 inf + 6752 1554299855.166 * * [misc]simplify: Extracting #7: cost 0 inf + 7536 1554299855.167 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554299855.167 * [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)))))) 1554299855.167 * * * * [misc]progress: [ 135 / 253 ] simplifiying candidate # 1554299855.167 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299855.168 * * [misc]simplify: iters left: 6 (15 enodes) 1554299855.174 * * [misc]simplify: iters left: 5 (51 enodes) 1554299855.189 * * [misc]simplify: iters left: 4 (68 enodes) 1554299855.206 * * [misc]simplify: iters left: 3 (89 enodes) 1554299855.219 * * [misc]simplify: iters left: 2 (95 enodes) 1554299855.232 * * [misc]simplify: iters left: 1 (103 enodes) 1554299855.246 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.246 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299855.246 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299855.246 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554299855.246 * * [misc]simplify: Extracting #4: cost 36 inf + 529 1554299855.246 * * [misc]simplify: Extracting #5: cost 31 inf + 1111 1554299855.247 * * [misc]simplify: Extracting #6: cost 13 inf + 7103 1554299855.248 * * [misc]simplify: Extracting #7: cost 0 inf + 14551 1554299855.251 * [exit]simplify: Simplified to (/ (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1554299855.251 * [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)))))))) 1554299855.252 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299855.252 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.258 * * [misc]simplify: iters left: 5 (43 enodes) 1554299855.271 * * [misc]simplify: iters left: 4 (53 enodes) 1554299855.286 * * [misc]simplify: iters left: 3 (59 enodes) 1554299855.294 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.294 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.294 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.294 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299855.294 * * [misc]simplify: Extracting #4: cost 19 inf + 452 1554299855.294 * * [misc]simplify: Extracting #5: cost 13 inf + 1740 1554299855.295 * * [misc]simplify: Extracting #6: cost 1 inf + 6472 1554299855.296 * * [misc]simplify: Extracting #7: cost 0 inf + 7216 1554299855.296 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554299855.296 * [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)))))) 1554299855.297 * * * * [misc]progress: [ 136 / 253 ] simplifiying candidate # 1554299855.297 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299855.297 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.301 * * [misc]simplify: iters left: 5 (45 enodes) 1554299855.309 * * [misc]simplify: iters left: 4 (65 enodes) 1554299855.319 * * [misc]simplify: iters left: 3 (78 enodes) 1554299855.331 * * [misc]simplify: iters left: 2 (85 enodes) 1554299855.343 * * [misc]simplify: iters left: 1 (98 enodes) 1554299855.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.363 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299855.363 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299855.363 * * [misc]simplify: Extracting #3: cost 27 inf + 2 1554299855.364 * * [misc]simplify: Extracting #4: cost 26 inf + 207 1554299855.364 * * [misc]simplify: Extracting #5: cost 17 inf + 1424 1554299855.365 * * [misc]simplify: Extracting #6: cost 3 inf + 5015 1554299855.367 * * [misc]simplify: Extracting #7: cost 0 inf + 6457 1554299855.369 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299855.369 * [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))))))) 1554299855.369 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299855.370 * * [misc]simplify: iters left: 6 (12 enodes) 1554299855.375 * * [misc]simplify: iters left: 5 (40 enodes) 1554299855.386 * * [misc]simplify: iters left: 4 (50 enodes) 1554299855.398 * * [misc]simplify: iters left: 3 (56 enodes) 1554299855.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.412 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.412 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.412 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554299855.412 * * [misc]simplify: Extracting #4: cost 18 inf + 370 1554299855.413 * * [misc]simplify: Extracting #5: cost 11 inf + 1792 1554299855.413 * * [misc]simplify: Extracting #6: cost 1 inf + 5604 1554299855.414 * * [misc]simplify: Extracting #7: cost 0 inf + 6308 1554299855.415 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299855.416 * [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))))))) 1554299855.416 * * * * [misc]progress: [ 137 / 253 ] simplifiying candidate # 1554299855.416 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299855.416 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.422 * * [misc]simplify: iters left: 5 (44 enodes) 1554299855.433 * * [misc]simplify: iters left: 4 (54 enodes) 1554299855.449 * * [misc]simplify: iters left: 3 (60 enodes) 1554299855.464 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.464 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.464 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299855.464 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1554299855.464 * * [misc]simplify: Extracting #4: cost 19 inf + 289 1554299855.465 * * [misc]simplify: Extracting #5: cost 11 inf + 865 1554299855.465 * * [misc]simplify: Extracting #6: cost 1 inf + 3932 1554299855.466 * * [misc]simplify: Extracting #7: cost 0 inf + 4307 1554299855.467 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1554299855.467 * [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))))))) 1554299855.468 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299855.468 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.474 * * [misc]simplify: iters left: 5 (44 enodes) 1554299855.485 * * [misc]simplify: iters left: 4 (52 enodes) 1554299855.498 * * [misc]simplify: iters left: 3 (56 enodes) 1554299855.511 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.512 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.512 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299855.512 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554299855.512 * * [misc]simplify: Extracting #4: cost 18 inf + 332 1554299855.512 * * [misc]simplify: Extracting #5: cost 8 inf + 2036 1554299855.513 * * [misc]simplify: Extracting #6: cost 0 inf + 6144 1554299855.515 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299855.515 * [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)))))) 1554299855.515 * * * * [misc]progress: [ 138 / 253 ] simplifiying candidate # 1554299855.515 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299855.515 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.521 * * [misc]simplify: iters left: 5 (44 enodes) 1554299855.534 * * [misc]simplify: iters left: 4 (54 enodes) 1554299855.548 * * [misc]simplify: iters left: 3 (60 enodes) 1554299855.561 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.561 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.561 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299855.561 * * [misc]simplify: Extracting #3: cost 21 inf + 3 1554299855.561 * * [misc]simplify: Extracting #4: cost 19 inf + 289 1554299855.561 * * [misc]simplify: Extracting #5: cost 11 inf + 865 1554299855.562 * * [misc]simplify: Extracting #6: cost 1 inf + 3932 1554299855.562 * * [misc]simplify: Extracting #7: cost 0 inf + 4307 1554299855.563 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt PI))) 1554299855.563 * [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))))))) 1554299855.563 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299855.563 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.566 * * [misc]simplify: iters left: 5 (44 enodes) 1554299855.573 * * [misc]simplify: iters left: 4 (52 enodes) 1554299855.582 * * [misc]simplify: iters left: 3 (56 enodes) 1554299855.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.594 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.594 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299855.594 * * [misc]simplify: Extracting #3: cost 24 inf + 2 1554299855.595 * * [misc]simplify: Extracting #4: cost 18 inf + 332 1554299855.595 * * [misc]simplify: Extracting #5: cost 8 inf + 2036 1554299855.596 * * [misc]simplify: Extracting #6: cost 0 inf + 6144 1554299855.598 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299855.598 * [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)))))) 1554299855.598 * * * * [misc]progress: [ 139 / 253 ] simplifiying candidate # 1554299855.598 * [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))))))) 1554299855.599 * * [misc]simplify: iters left: 6 (15 enodes) 1554299855.606 * * [misc]simplify: iters left: 5 (51 enodes) 1554299855.621 * * [misc]simplify: iters left: 4 (67 enodes) 1554299855.642 * * [misc]simplify: iters left: 3 (81 enodes) 1554299855.664 * * [misc]simplify: iters left: 2 (89 enodes) 1554299855.687 * * [misc]simplify: iters left: 1 (95 enodes) 1554299855.711 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.711 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299855.711 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554299855.712 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299855.712 * * [misc]simplify: Extracting #4: cost 35 inf + 167 1554299855.712 * * [misc]simplify: Extracting #5: cost 31 inf + 415 1554299855.713 * * [misc]simplify: Extracting #6: cost 13 inf + 5887 1554299855.714 * * [misc]simplify: Extracting #7: cost 2 inf + 12929 1554299855.716 * * [misc]simplify: Extracting #8: cost 0 inf + 14339 1554299855.718 * [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))))) 1554299855.719 * [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)))))))) 1554299855.719 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299855.719 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.722 * * [misc]simplify: iters left: 5 (43 enodes) 1554299855.729 * * [misc]simplify: iters left: 4 (53 enodes) 1554299855.737 * * [misc]simplify: iters left: 3 (59 enodes) 1554299855.745 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.745 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.745 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.745 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299855.745 * * [misc]simplify: Extracting #4: cost 19 inf + 372 1554299855.746 * * [misc]simplify: Extracting #5: cost 13 inf + 1620 1554299855.747 * * [misc]simplify: Extracting #6: cost 1 inf + 6472 1554299855.748 * * [misc]simplify: Extracting #7: cost 0 inf + 7216 1554299855.750 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299855.750 * [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)))))) 1554299855.750 * * * * [misc]progress: [ 140 / 253 ] simplifiying candidate # 1554299855.750 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299855.751 * * [misc]simplify: iters left: 6 (14 enodes) 1554299855.757 * * [misc]simplify: iters left: 5 (46 enodes) 1554299855.772 * * [misc]simplify: iters left: 4 (56 enodes) 1554299855.787 * * [misc]simplify: iters left: 3 (62 enodes) 1554299855.804 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.804 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.804 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.804 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299855.804 * * [misc]simplify: Extracting #4: cost 23 inf + 207 1554299855.804 * * [misc]simplify: Extracting #5: cost 17 inf + 539 1554299855.805 * * [misc]simplify: Extracting #6: cost 4 inf + 4696 1554299855.807 * * [misc]simplify: Extracting #7: cost 0 inf + 6905 1554299855.808 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299855.808 * [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)))))))) 1554299855.809 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299855.809 * * [misc]simplify: iters left: 6 (13 enodes) 1554299855.815 * * [misc]simplify: iters left: 5 (43 enodes) 1554299855.828 * * [misc]simplify: iters left: 4 (53 enodes) 1554299855.843 * * [misc]simplify: iters left: 3 (59 enodes) 1554299855.861 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.861 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.861 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.861 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299855.861 * * [misc]simplify: Extracting #4: cost 19 inf + 372 1554299855.862 * * [misc]simplify: Extracting #5: cost 13 inf + 1620 1554299855.863 * * [misc]simplify: Extracting #6: cost 1 inf + 6192 1554299855.865 * * [misc]simplify: Extracting #7: cost 0 inf + 6896 1554299855.866 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299855.866 * [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)))))) 1554299855.866 * * * * [misc]progress: [ 141 / 253 ] simplifiying candidate # 1554299855.867 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) 1554299855.867 * * [misc]simplify: iters left: 6 (12 enodes) 1554299855.873 * * [misc]simplify: iters left: 5 (40 enodes) 1554299855.879 * * [misc]simplify: iters left: 4 (49 enodes) 1554299855.886 * * [misc]simplify: iters left: 3 (54 enodes) 1554299855.894 * * [misc]simplify: iters left: 2 (55 enodes) 1554299855.901 * * [misc]simplify: iters left: 1 (57 enodes) 1554299855.911 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.911 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299855.911 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299855.911 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1554299855.911 * * [misc]simplify: Extracting #4: cost 16 inf + 86 1554299855.912 * * [misc]simplify: Extracting #5: cost 14 inf + 209 1554299855.912 * * [misc]simplify: Extracting #6: cost 8 inf + 580 1554299855.912 * * [misc]simplify: Extracting #7: cost 1 inf + 2575 1554299855.913 * * [misc]simplify: Extracting #8: cost 0 inf + 2989 1554299855.914 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299855.914 * [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))))))) 1554299855.915 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299855.915 * * [misc]simplify: iters left: 6 (12 enodes) 1554299855.920 * * [misc]simplify: iters left: 5 (40 enodes) 1554299855.932 * * [misc]simplify: iters left: 4 (50 enodes) 1554299855.944 * * [misc]simplify: iters left: 3 (56 enodes) 1554299855.951 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299855.951 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299855.951 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299855.951 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554299855.952 * * [misc]simplify: Extracting #4: cost 18 inf + 290 1554299855.952 * * [misc]simplify: Extracting #5: cost 11 inf + 1712 1554299855.952 * * [misc]simplify: Extracting #6: cost 1 inf + 5324 1554299855.953 * * [misc]simplify: Extracting #7: cost 0 inf + 5988 1554299855.953 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299855.953 * [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))))))) 1554299855.954 * * * * [misc]progress: [ 142 / 253 ] simplifiying candidate # 1554299855.954 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554299855.954 * * [misc]simplify: iters left: 6 (12 enodes) 1554299855.958 * * [misc]simplify: iters left: 5 (43 enodes) 1554299855.965 * * [misc]simplify: iters left: 4 (51 enodes) 1554299855.972 * * [misc]simplify: iters left: 3 (60 enodes) 1554299855.981 * * [misc]simplify: iters left: 2 (61 enodes) 1554299855.992 * * [misc]simplify: iters left: 1 (63 enodes) 1554299856.004 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.004 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299856.004 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299856.005 * * [misc]simplify: Extracting #3: cost 13 inf + 45 1554299856.005 * * [misc]simplify: Extracting #4: cost 15 inf + 250 1554299856.005 * * [misc]simplify: Extracting #5: cost 13 inf + 293 1554299856.005 * * [misc]simplify: Extracting #6: cost 8 inf + 583 1554299856.005 * * [misc]simplify: Extracting #7: cost 0 inf + 2756 1554299856.006 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1554299856.006 * [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))))))) 1554299856.006 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299856.006 * * [misc]simplify: iters left: 6 (12 enodes) 1554299856.009 * * [misc]simplify: iters left: 5 (41 enodes) 1554299856.015 * * [misc]simplify: iters left: 4 (49 enodes) 1554299856.022 * * [misc]simplify: iters left: 3 (53 enodes) 1554299856.029 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.029 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.029 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299856.029 * * [misc]simplify: Extracting #3: cost 19 inf + 85 1554299856.029 * * [misc]simplify: Extracting #4: cost 16 inf + 544 1554299856.030 * * [misc]simplify: Extracting #5: cost 8 inf + 2124 1554299856.030 * * [misc]simplify: Extracting #6: cost 1 inf + 5078 1554299856.031 * * [misc]simplify: Extracting #7: cost 0 inf + 5742 1554299856.031 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- (/ k 2)))) 1554299856.031 * [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)))))) 1554299856.031 * * * * [misc]progress: [ 143 / 253 ] simplifiying candidate # 1554299856.032 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554299856.032 * * [misc]simplify: iters left: 6 (12 enodes) 1554299856.037 * * [misc]simplify: iters left: 5 (43 enodes) 1554299856.049 * * [misc]simplify: iters left: 4 (51 enodes) 1554299856.066 * * [misc]simplify: iters left: 3 (60 enodes) 1554299856.074 * * [misc]simplify: iters left: 2 (61 enodes) 1554299856.083 * * [misc]simplify: iters left: 1 (63 enodes) 1554299856.091 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.091 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299856.091 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299856.091 * * [misc]simplify: Extracting #3: cost 13 inf + 45 1554299856.091 * * [misc]simplify: Extracting #4: cost 15 inf + 250 1554299856.091 * * [misc]simplify: Extracting #5: cost 13 inf + 293 1554299856.092 * * [misc]simplify: Extracting #6: cost 8 inf + 583 1554299856.092 * * [misc]simplify: Extracting #7: cost 0 inf + 2756 1554299856.092 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1554299856.092 * [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))))))) 1554299856.093 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299856.093 * * [misc]simplify: iters left: 6 (12 enodes) 1554299856.096 * * [misc]simplify: iters left: 5 (41 enodes) 1554299856.103 * * [misc]simplify: iters left: 4 (49 enodes) 1554299856.117 * * [misc]simplify: iters left: 3 (53 enodes) 1554299856.132 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.132 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.132 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299856.132 * * [misc]simplify: Extracting #3: cost 19 inf + 85 1554299856.132 * * [misc]simplify: Extracting #4: cost 16 inf + 544 1554299856.133 * * [misc]simplify: Extracting #5: cost 8 inf + 2124 1554299856.134 * * [misc]simplify: Extracting #6: cost 1 inf + 5078 1554299856.135 * * [misc]simplify: Extracting #7: cost 0 inf + 5742 1554299856.136 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- (/ k 2)))) 1554299856.136 * [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)))))) 1554299856.136 * * * * [misc]progress: [ 144 / 253 ] simplifiying candidate # 1554299856.137 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554299856.137 * * [misc]simplify: iters left: 6 (14 enodes) 1554299856.145 * * [misc]simplify: iters left: 5 (50 enodes) 1554299856.160 * * [misc]simplify: iters left: 4 (64 enodes) 1554299856.182 * * [misc]simplify: iters left: 3 (81 enodes) 1554299856.205 * * [misc]simplify: iters left: 2 (90 enodes) 1554299856.228 * * [misc]simplify: iters left: 1 (114 enodes) 1554299856.247 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.247 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299856.247 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299856.248 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299856.248 * * [misc]simplify: Extracting #4: cost 29 inf + 4 1554299856.248 * * [misc]simplify: Extracting #5: cost 22 inf + 590 1554299856.248 * * [misc]simplify: Extracting #6: cost 7 inf + 5840 1554299856.250 * * [misc]simplify: Extracting #7: cost 0 inf + 9576 1554299856.251 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299856.251 * [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)))))))) 1554299856.251 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299856.251 * * [misc]simplify: iters left: 6 (12 enodes) 1554299856.255 * * [misc]simplify: iters left: 5 (40 enodes) 1554299856.267 * * [misc]simplify: iters left: 4 (50 enodes) 1554299856.282 * * [misc]simplify: iters left: 3 (56 enodes) 1554299856.290 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.290 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.290 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299856.290 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554299856.290 * * [misc]simplify: Extracting #4: cost 20 inf + 128 1554299856.290 * * [misc]simplify: Extracting #5: cost 12 inf + 2004 1554299856.291 * * [misc]simplify: Extracting #6: cost 1 inf + 6110 1554299856.291 * * [misc]simplify: Extracting #7: cost 0 inf + 6814 1554299856.293 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299856.293 * [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)))))))) 1554299856.294 * * * * [misc]progress: [ 145 / 253 ] simplifiying candidate # 1554299856.294 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299856.294 * * [misc]simplify: iters left: 6 (13 enodes) 1554299856.297 * * [misc]simplify: iters left: 5 (45 enodes) 1554299856.307 * * [misc]simplify: iters left: 4 (53 enodes) 1554299856.323 * * [misc]simplify: iters left: 3 (62 enodes) 1554299856.340 * * [misc]simplify: iters left: 2 (63 enodes) 1554299856.358 * * [misc]simplify: iters left: 1 (65 enodes) 1554299856.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.375 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299856.375 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299856.375 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299856.375 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299856.375 * * [misc]simplify: Extracting #5: cost 14 inf + 590 1554299856.376 * * [misc]simplify: Extracting #6: cost 2 inf + 4226 1554299856.377 * * [misc]simplify: Extracting #7: cost 0 inf + 4936 1554299856.378 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1554299856.378 * [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)))))))) 1554299856.378 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299856.379 * * [misc]simplify: iters left: 6 (12 enodes) 1554299856.384 * * [misc]simplify: iters left: 5 (40 enodes) 1554299856.396 * * [misc]simplify: iters left: 4 (50 enodes) 1554299856.410 * * [misc]simplify: iters left: 3 (56 enodes) 1554299856.425 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.425 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.425 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299856.425 * * [misc]simplify: Extracting #3: cost 20 inf + 84 1554299856.425 * * [misc]simplify: Extracting #4: cost 20 inf + 128 1554299856.426 * * [misc]simplify: Extracting #5: cost 12 inf + 1924 1554299856.427 * * [misc]simplify: Extracting #6: cost 1 inf + 5830 1554299856.428 * * [misc]simplify: Extracting #7: cost 0 inf + 6494 1554299856.429 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299856.430 * [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)))))))) 1554299856.430 * * * * [misc]progress: [ 146 / 253 ] simplifiying candidate # 1554299856.430 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ 1 1)) 1554299856.430 * * [misc]simplify: iters left: 6 (10 enodes) 1554299856.436 * * [misc]simplify: iters left: 5 (32 enodes) 1554299856.447 * * [misc]simplify: iters left: 4 (39 enodes) 1554299856.458 * * [misc]simplify: iters left: 3 (43 enodes) 1554299856.469 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.469 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299856.469 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554299856.469 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554299856.469 * * [misc]simplify: Extracting #4: cost 10 inf + 5 1554299856.469 * * [misc]simplify: Extracting #5: cost 1 inf + 1007 1554299856.470 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299856.470 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299856.470 * [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))))))) 1554299856.471 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299856.471 * * [misc]simplify: iters left: 6 (11 enodes) 1554299856.476 * * [misc]simplify: iters left: 5 (37 enodes) 1554299856.482 * * [misc]simplify: iters left: 4 (47 enodes) 1554299856.489 * * [misc]simplify: iters left: 3 (53 enodes) 1554299856.496 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.496 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.496 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299856.496 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1554299856.496 * * [misc]simplify: Extracting #4: cost 17 inf + 210 1554299856.496 * * [misc]simplify: Extracting #5: cost 8 inf + 2340 1554299856.497 * * [misc]simplify: Extracting #6: cost 1 inf + 5213 1554299856.497 * * [misc]simplify: Extracting #7: cost 0 inf + 5586 1554299856.498 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1554299856.498 * [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)))) 1554299856.498 * * * * [misc]progress: [ 147 / 253 ] simplifiying candidate # 1554299856.498 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554299856.498 * * [misc]simplify: iters left: 6 (9 enodes) 1554299856.501 * * [misc]simplify: iters left: 5 (29 enodes) 1554299856.506 * * [misc]simplify: iters left: 4 (36 enodes) 1554299856.516 * * [misc]simplify: iters left: 3 (38 enodes) 1554299856.526 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.526 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299856.526 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554299856.526 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554299856.526 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554299856.527 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554299856.527 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299856.527 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299856.527 * [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))))))) 1554299856.528 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299856.528 * * [misc]simplify: iters left: 6 (11 enodes) 1554299856.533 * * [misc]simplify: iters left: 5 (37 enodes) 1554299856.544 * * [misc]simplify: iters left: 4 (47 enodes) 1554299856.557 * * [misc]simplify: iters left: 3 (53 enodes) 1554299856.570 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.570 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.570 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299856.570 * * [misc]simplify: Extracting #3: cost 17 inf + 85 1554299856.570 * * [misc]simplify: Extracting #4: cost 17 inf + 210 1554299856.570 * * [misc]simplify: Extracting #5: cost 8 inf + 2340 1554299856.571 * * [misc]simplify: Extracting #6: cost 1 inf + 5213 1554299856.571 * * [misc]simplify: Extracting #7: cost 0 inf + 5586 1554299856.572 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1554299856.572 * [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)))) 1554299856.572 * * * * [misc]progress: [ 148 / 253 ] simplifiying candidate # 1554299856.572 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299856.572 * * [misc]simplify: iters left: 6 (9 enodes) 1554299856.575 * * [misc]simplify: iters left: 5 (29 enodes) 1554299856.579 * * [misc]simplify: iters left: 4 (34 enodes) 1554299856.584 * * [misc]simplify: iters left: 3 (36 enodes) 1554299856.589 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.589 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299856.589 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299856.589 * * [misc]simplify: Extracting #3: cost 9 inf + 84 1554299856.589 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299856.589 * * [misc]simplify: Extracting #5: cost 10 inf + 209 1554299856.589 * * [misc]simplify: Extracting #6: cost 6 inf + 457 1554299856.589 * * [misc]simplify: Extracting #7: cost 1 inf + 1624 1554299856.590 * * [misc]simplify: Extracting #8: cost 0 inf + 1918 1554299856.590 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299856.590 * [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))))))) 1554299856.590 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554299856.590 * * [misc]simplify: iters left: 6 (11 enodes) 1554299856.594 * * [misc]simplify: iters left: 5 (39 enodes) 1554299856.606 * * [misc]simplify: iters left: 4 (47 enodes) 1554299856.619 * * [misc]simplify: iters left: 3 (56 enodes) 1554299856.626 * * [misc]simplify: iters left: 2 (57 enodes) 1554299856.634 * * [misc]simplify: iters left: 1 (59 enodes) 1554299856.641 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.641 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299856.641 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299856.641 * * [misc]simplify: Extracting #3: cost 15 inf + 3 1554299856.641 * * [misc]simplify: Extracting #4: cost 18 inf + 4 1554299856.642 * * [misc]simplify: Extracting #5: cost 14 inf + 212 1554299856.642 * * [misc]simplify: Extracting #6: cost 6 inf + 1717 1554299856.642 * * [misc]simplify: Extracting #7: cost 0 inf + 4101 1554299856.643 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) 1554299856.643 * [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)))))) 1554299856.643 * * * * [misc]progress: [ 149 / 253 ] simplifiying candidate # 1554299856.643 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 1/2))) 1554299856.643 * * [misc]simplify: iters left: 6 (12 enodes) 1554299856.647 * * [misc]simplify: iters left: 5 (41 enodes) 1554299856.659 * * [misc]simplify: iters left: 4 (51 enodes) 1554299856.675 * * [misc]simplify: iters left: 3 (57 enodes) 1554299856.690 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.690 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299856.690 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299856.690 * * [misc]simplify: Extracting #3: cost 16 inf + 86 1554299856.690 * * [misc]simplify: Extracting #4: cost 16 inf + 412 1554299856.690 * * [misc]simplify: Extracting #5: cost 12 inf + 661 1554299856.691 * * [misc]simplify: Extracting #6: cost 2 inf + 3075 1554299856.692 * * [misc]simplify: Extracting #7: cost 0 inf + 3905 1554299856.693 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))) 1554299856.693 * [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))))) 1554299856.693 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554299856.694 * * [misc]simplify: iters left: 6 (9 enodes) 1554299856.698 * * [misc]simplify: iters left: 5 (29 enodes) 1554299856.707 * * [misc]simplify: iters left: 4 (34 enodes) 1554299856.716 * * [misc]simplify: iters left: 3 (36 enodes) 1554299856.726 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.726 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299856.726 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299856.726 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554299856.727 * * [misc]simplify: Extracting #4: cost 9 inf + 423 1554299856.727 * * [misc]simplify: Extracting #5: cost 5 inf + 1175 1554299856.727 * * [misc]simplify: Extracting #6: cost 0 inf + 2680 1554299856.728 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554299856.728 * [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))))) 1554299856.728 * * * * [misc]progress: [ 150 / 253 ] simplifiying candidate # 1554299856.728 * [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))))))) 1554299856.729 * * [misc]simplify: iters left: 6 (17 enodes) 1554299856.737 * * [misc]simplify: iters left: 5 (60 enodes) 1554299856.755 * * [misc]simplify: iters left: 4 (80 enodes) 1554299856.777 * * [misc]simplify: iters left: 3 (89 enodes) 1554299856.801 * * [misc]simplify: iters left: 2 (92 enodes) 1554299856.827 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.827 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299856.827 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554299856.827 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299856.827 * * [misc]simplify: Extracting #4: cost 39 inf + 0 1554299856.827 * * [misc]simplify: Extracting #5: cost 36 inf + 47 1554299856.828 * * [misc]simplify: Extracting #6: cost 20 inf + 3124 1554299856.829 * * [misc]simplify: Extracting #7: cost 3 inf + 14008 1554299856.831 * * [misc]simplify: Extracting #8: cost 1 inf + 15698 1554299856.833 * * [misc]simplify: Extracting #9: cost 0 inf + 16523 1554299856.835 * [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))))))) 1554299856.835 * [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)))))))) 1554299856.835 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299856.835 * * [misc]simplify: iters left: 6 (15 enodes) 1554299856.839 * * [misc]simplify: iters left: 5 (48 enodes) 1554299856.846 * * [misc]simplify: iters left: 4 (53 enodes) 1554299856.853 * * [misc]simplify: iters left: 3 (55 enodes) 1554299856.863 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.863 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299856.863 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299856.863 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554299856.864 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554299856.864 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299856.864 * * [misc]simplify: Extracting #6: cost 8 inf + 2496 1554299856.865 * * [misc]simplify: Extracting #7: cost 0 inf + 6057 1554299856.866 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299856.867 * [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)))))))) 1554299856.867 * * * * [misc]progress: [ 151 / 253 ] simplifiying candidate # 1554299856.867 * [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)))))) 1554299856.867 * * [misc]simplify: iters left: 6 (16 enodes) 1554299856.875 * * [misc]simplify: iters left: 5 (53 enodes) 1554299856.890 * * [misc]simplify: iters left: 4 (62 enodes) 1554299856.900 * * [misc]simplify: iters left: 3 (67 enodes) 1554299856.910 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.910 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299856.910 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299856.910 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1554299856.910 * * [misc]simplify: Extracting #4: cost 31 inf + 0 1554299856.910 * * [misc]simplify: Extracting #5: cost 28 inf + 47 1554299856.910 * * [misc]simplify: Extracting #6: cost 15 inf + 2414 1554299856.911 * * [misc]simplify: Extracting #7: cost 2 inf + 8415 1554299856.912 * * [misc]simplify: Extracting #8: cost 0 inf + 10025 1554299856.913 * [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)))))) 1554299856.913 * [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)))))))) 1554299856.913 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299856.913 * * [misc]simplify: iters left: 6 (15 enodes) 1554299856.917 * * [misc]simplify: iters left: 5 (48 enodes) 1554299856.926 * * [misc]simplify: iters left: 4 (53 enodes) 1554299856.938 * * [misc]simplify: iters left: 3 (55 enodes) 1554299856.953 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299856.954 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299856.954 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299856.954 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554299856.954 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554299856.954 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299856.954 * * [misc]simplify: Extracting #6: cost 8 inf + 2456 1554299856.955 * * [misc]simplify: Extracting #7: cost 0 inf + 5897 1554299856.957 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299856.957 * [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)))))))) 1554299856.957 * * * * [misc]progress: [ 152 / 253 ] simplifiying candidate # 1554299856.957 * [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))) 1554299856.957 * * [misc]simplify: iters left: 6 (17 enodes) 1554299856.966 * * [misc]simplify: iters left: 5 (61 enodes) 1554299856.983 * * [misc]simplify: iters left: 4 (90 enodes) 1554299856.997 * * [misc]simplify: iters left: 3 (151 enodes) 1554299857.031 * * [misc]simplify: iters left: 2 (209 enodes) 1554299857.076 * * [misc]simplify: iters left: 1 (238 enodes) 1554299857.147 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299857.147 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554299857.147 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1554299857.148 * * [misc]simplify: Extracting #3: cost 56 inf + 43 1554299857.148 * * [misc]simplify: Extracting #4: cost 60 inf + 85 1554299857.149 * * [misc]simplify: Extracting #5: cost 51 inf + 1581 1554299857.150 * * [misc]simplify: Extracting #6: cost 35 inf + 5809 1554299857.157 * * [misc]simplify: Extracting #7: cost 4 inf + 23020 1554299857.165 * * [misc]simplify: Extracting #8: cost 0 inf + 25397 1554299857.174 * [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))))) 1554299857.174 * [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))))))) 1554299857.175 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299857.175 * * [misc]simplify: iters left: 6 (16 enodes) 1554299857.183 * * [misc]simplify: iters left: 5 (54 enodes) 1554299857.198 * * [misc]simplify: iters left: 4 (62 enodes) 1554299857.215 * * [misc]simplify: iters left: 3 (66 enodes) 1554299857.229 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299857.229 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299857.229 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299857.229 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299857.229 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299857.229 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554299857.230 * * [misc]simplify: Extracting #6: cost 6 inf + 4228 1554299857.230 * * [misc]simplify: Extracting #7: cost 1 inf + 7440 1554299857.231 * * [misc]simplify: Extracting #8: cost 0 inf + 8345 1554299857.232 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299857.232 * [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)))))) 1554299857.232 * * * * [misc]progress: [ 153 / 253 ] simplifiying candidate # 1554299857.232 * [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))) 1554299857.233 * * [misc]simplify: iters left: 6 (17 enodes) 1554299857.237 * * [misc]simplify: iters left: 5 (61 enodes) 1554299857.245 * * [misc]simplify: iters left: 4 (90 enodes) 1554299857.271 * * [misc]simplify: iters left: 3 (151 enodes) 1554299857.321 * * [misc]simplify: iters left: 2 (209 enodes) 1554299857.376 * * [misc]simplify: iters left: 1 (238 enodes) 1554299857.423 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299857.423 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554299857.424 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1554299857.424 * * [misc]simplify: Extracting #3: cost 56 inf + 43 1554299857.424 * * [misc]simplify: Extracting #4: cost 60 inf + 85 1554299857.424 * * [misc]simplify: Extracting #5: cost 51 inf + 1581 1554299857.425 * * [misc]simplify: Extracting #6: cost 35 inf + 5809 1554299857.428 * * [misc]simplify: Extracting #7: cost 4 inf + 23020 1554299857.432 * * [misc]simplify: Extracting #8: cost 0 inf + 25397 1554299857.437 * [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))))) 1554299857.437 * [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))))))) 1554299857.437 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299857.437 * * [misc]simplify: iters left: 6 (16 enodes) 1554299857.441 * * [misc]simplify: iters left: 5 (54 enodes) 1554299857.451 * * [misc]simplify: iters left: 4 (62 enodes) 1554299857.467 * * [misc]simplify: iters left: 3 (66 enodes) 1554299857.488 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299857.488 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299857.488 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299857.488 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299857.488 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299857.488 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554299857.489 * * [misc]simplify: Extracting #6: cost 6 inf + 4228 1554299857.491 * * [misc]simplify: Extracting #7: cost 1 inf + 7440 1554299857.492 * * [misc]simplify: Extracting #8: cost 0 inf + 8345 1554299857.494 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299857.494 * [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)))))) 1554299857.494 * * * * [misc]progress: [ 154 / 253 ] simplifiying candidate # 1554299857.494 * [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))))))) 1554299857.495 * * [misc]simplify: iters left: 6 (19 enodes) 1554299857.504 * * [misc]simplify: iters left: 5 (70 enodes) 1554299857.526 * * [misc]simplify: iters left: 4 (121 enodes) 1554299857.562 * * [misc]simplify: iters left: 3 (230 enodes) 1554299857.621 * * [misc]simplify: iters left: 2 (387 enodes) 1554299857.793 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299857.793 * * [misc]simplify: Extracting #1: cost 52 inf + 0 1554299857.794 * * [misc]simplify: Extracting #2: cost 93 inf + 0 1554299857.795 * * [misc]simplify: Extracting #3: cost 100 inf + 0 1554299857.796 * * [misc]simplify: Extracting #4: cost 105 inf + 2 1554299857.797 * * [misc]simplify: Extracting #5: cost 90 inf + 2759 1554299857.805 * * [misc]simplify: Extracting #6: cost 40 inf + 34902 1554299857.827 * * [misc]simplify: Extracting #7: cost 2 inf + 66831 1554299857.848 * * [misc]simplify: Extracting #8: cost 0 inf + 67739 1554299857.872 * * [misc]simplify: Extracting #9: cost 0 inf + 67699 1554299857.894 * [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))))) 1554299857.894 * [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)))))))) 1554299857.894 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299857.894 * * [misc]simplify: iters left: 6 (16 enodes) 1554299857.902 * * [misc]simplify: iters left: 5 (53 enodes) 1554299857.911 * * [misc]simplify: iters left: 4 (63 enodes) 1554299857.921 * * [misc]simplify: iters left: 3 (69 enodes) 1554299857.930 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299857.930 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299857.930 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299857.930 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299857.931 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299857.931 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554299857.931 * * [misc]simplify: Extracting #6: cost 13 inf + 2776 1554299857.932 * * [misc]simplify: Extracting #7: cost 1 inf + 8352 1554299857.933 * * [misc]simplify: Extracting #8: cost 0 inf + 9257 1554299857.934 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299857.934 * [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 (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)))))))) 1554299857.934 * * * * [misc]progress: [ 155 / 253 ] simplifiying candidate # 1554299857.935 * [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)))))) 1554299857.935 * * [misc]simplify: iters left: 6 (18 enodes) 1554299857.943 * * [misc]simplify: iters left: 5 (63 enodes) 1554299857.963 * * [misc]simplify: iters left: 4 (92 enodes) 1554299857.991 * * [misc]simplify: iters left: 3 (153 enodes) 1554299858.045 * * [misc]simplify: iters left: 2 (213 enodes) 1554299858.091 * * [misc]simplify: iters left: 1 (244 enodes) 1554299858.147 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.147 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554299858.147 * * [misc]simplify: Extracting #2: cost 53 inf + 0 1554299858.147 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299858.148 * * [misc]simplify: Extracting #4: cost 65 inf + 2 1554299858.148 * * [misc]simplify: Extracting #5: cost 60 inf + 490 1554299858.149 * * [misc]simplify: Extracting #6: cost 41 inf + 6886 1554299858.152 * * [misc]simplify: Extracting #7: cost 6 inf + 28161 1554299858.157 * * [misc]simplify: Extracting #8: cost 0 inf + 32267 1554299858.162 * [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))))) 1554299858.162 * [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)))))))) 1554299858.163 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299858.163 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.167 * * [misc]simplify: iters left: 5 (53 enodes) 1554299858.174 * * [misc]simplify: iters left: 4 (63 enodes) 1554299858.183 * * [misc]simplify: iters left: 3 (69 enodes) 1554299858.192 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.192 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299858.192 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299858.192 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299858.192 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299858.193 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554299858.193 * * [misc]simplify: Extracting #6: cost 13 inf + 2736 1554299858.194 * * [misc]simplify: Extracting #7: cost 1 inf + 8072 1554299858.194 * * [misc]simplify: Extracting #8: cost 0 inf + 8937 1554299858.195 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299858.195 * [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)))))))) 1554299858.195 * * * * [misc]progress: [ 156 / 253 ] simplifiying candidate # 1554299858.196 * [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)) 1554299858.196 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.200 * * [misc]simplify: iters left: 5 (57 enodes) 1554299858.210 * * [misc]simplify: iters left: 4 (88 enodes) 1554299858.225 * * [misc]simplify: iters left: 3 (125 enodes) 1554299858.246 * * [misc]simplify: iters left: 2 (159 enodes) 1554299858.297 * * [misc]simplify: iters left: 1 (190 enodes) 1554299858.353 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.353 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299858.354 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554299858.354 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554299858.354 * * [misc]simplify: Extracting #4: cost 41 inf + 2 1554299858.354 * * [misc]simplify: Extracting #5: cost 37 inf + 250 1554299858.355 * * [misc]simplify: Extracting #6: cost 17 inf + 5666 1554299858.357 * * [misc]simplify: Extracting #7: cost 2 inf + 12799 1554299858.359 * * [misc]simplify: Extracting #8: cost 0 inf + 14027 1554299858.362 * [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)))) 1554299858.362 * [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))))))) 1554299858.362 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299858.362 * * [misc]simplify: iters left: 6 (15 enodes) 1554299858.366 * * [misc]simplify: iters left: 5 (50 enodes) 1554299858.378 * * [misc]simplify: iters left: 4 (60 enodes) 1554299858.395 * * [misc]simplify: iters left: 3 (66 enodes) 1554299858.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.412 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299858.413 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299858.413 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299858.413 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554299858.413 * * [misc]simplify: Extracting #5: cost 22 inf + 412 1554299858.414 * * [misc]simplify: Extracting #6: cost 8 inf + 3365 1554299858.415 * * [misc]simplify: Extracting #7: cost 0 inf + 8029 1554299858.417 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299858.417 * [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))))))) 1554299858.417 * * * * [misc]progress: [ 157 / 253 ] simplifiying candidate # 1554299858.417 * [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))) 1554299858.417 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.427 * * [misc]simplify: iters left: 5 (56 enodes) 1554299858.440 * * [misc]simplify: iters left: 4 (74 enodes) 1554299858.451 * * [misc]simplify: iters left: 3 (95 enodes) 1554299858.464 * * [misc]simplify: iters left: 2 (108 enodes) 1554299858.493 * * [misc]simplify: iters left: 1 (113 enodes) 1554299858.508 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.508 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299858.508 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1554299858.508 * * [misc]simplify: Extracting #3: cost 37 inf + 43 1554299858.508 * * [misc]simplify: Extracting #4: cost 41 inf + 85 1554299858.508 * * [misc]simplify: Extracting #5: cost 34 inf + 779 1554299858.509 * * [misc]simplify: Extracting #6: cost 22 inf + 3506 1554299858.511 * * [misc]simplify: Extracting #7: cost 4 inf + 12581 1554299858.513 * * [misc]simplify: Extracting #8: cost 0 inf + 14840 1554299858.517 * [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)))) 1554299858.517 * [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))))))) 1554299858.518 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299858.518 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.525 * * [misc]simplify: iters left: 5 (54 enodes) 1554299858.536 * * [misc]simplify: iters left: 4 (62 enodes) 1554299858.545 * * [misc]simplify: iters left: 3 (66 enodes) 1554299858.554 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.554 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299858.554 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299858.554 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299858.554 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299858.554 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554299858.555 * * [misc]simplify: Extracting #6: cost 6 inf + 4068 1554299858.555 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554299858.556 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554299858.557 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299858.557 * [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)))))) 1554299858.557 * * * * [misc]progress: [ 158 / 253 ] simplifiying candidate # 1554299858.557 * [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))) 1554299858.558 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.562 * * [misc]simplify: iters left: 5 (56 enodes) 1554299858.571 * * [misc]simplify: iters left: 4 (74 enodes) 1554299858.593 * * [misc]simplify: iters left: 3 (95 enodes) 1554299858.619 * * [misc]simplify: iters left: 2 (108 enodes) 1554299858.648 * * [misc]simplify: iters left: 1 (113 enodes) 1554299858.663 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.663 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299858.663 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1554299858.664 * * [misc]simplify: Extracting #3: cost 37 inf + 43 1554299858.664 * * [misc]simplify: Extracting #4: cost 41 inf + 85 1554299858.664 * * [misc]simplify: Extracting #5: cost 34 inf + 779 1554299858.664 * * [misc]simplify: Extracting #6: cost 22 inf + 3506 1554299858.666 * * [misc]simplify: Extracting #7: cost 4 inf + 12581 1554299858.668 * * [misc]simplify: Extracting #8: cost 0 inf + 14840 1554299858.670 * [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)))) 1554299858.670 * [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))))))) 1554299858.671 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299858.671 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.675 * * [misc]simplify: iters left: 5 (54 enodes) 1554299858.684 * * [misc]simplify: iters left: 4 (62 enodes) 1554299858.703 * * [misc]simplify: iters left: 3 (66 enodes) 1554299858.715 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.715 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299858.715 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299858.715 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299858.715 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299858.716 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554299858.716 * * [misc]simplify: Extracting #6: cost 6 inf + 4068 1554299858.717 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554299858.718 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554299858.718 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299858.718 * [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)))))) 1554299858.718 * * * * [misc]progress: [ 159 / 253 ] simplifiying candidate # 1554299858.719 * [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))))))) 1554299858.719 * * [misc]simplify: iters left: 6 (18 enodes) 1554299858.723 * * [misc]simplify: iters left: 5 (63 enodes) 1554299858.733 * * [misc]simplify: iters left: 4 (89 enodes) 1554299858.748 * * [misc]simplify: iters left: 3 (129 enodes) 1554299858.785 * * [misc]simplify: iters left: 2 (176 enodes) 1554299858.830 * * [misc]simplify: iters left: 1 (206 enodes) 1554299858.871 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.871 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1554299858.871 * * [misc]simplify: Extracting #2: cost 51 inf + 0 1554299858.872 * * [misc]simplify: Extracting #3: cost 58 inf + 0 1554299858.872 * * [misc]simplify: Extracting #4: cost 63 inf + 2 1554299858.872 * * [misc]simplify: Extracting #5: cost 59 inf + 249 1554299858.873 * * [misc]simplify: Extracting #6: cost 48 inf + 2734 1554299858.876 * * [misc]simplify: Extracting #7: cost 27 inf + 13246 1554299858.884 * * [misc]simplify: Extracting #8: cost 3 inf + 30427 1554299858.893 * * [misc]simplify: Extracting #9: cost 0 inf + 33062 1554299858.903 * [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)))))) 1554299858.903 * [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)))))))) 1554299858.904 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299858.904 * * [misc]simplify: iters left: 6 (16 enodes) 1554299858.912 * * [misc]simplify: iters left: 5 (53 enodes) 1554299858.921 * * [misc]simplify: iters left: 4 (63 enodes) 1554299858.930 * * [misc]simplify: iters left: 3 (69 enodes) 1554299858.939 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299858.939 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299858.939 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299858.939 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299858.939 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299858.939 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554299858.940 * * [misc]simplify: Extracting #6: cost 13 inf + 2656 1554299858.940 * * [misc]simplify: Extracting #7: cost 1 inf + 8072 1554299858.942 * * [misc]simplify: Extracting #8: cost 0 inf + 8937 1554299858.944 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299858.944 * [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)))))))) 1554299858.944 * * * * [misc]progress: [ 160 / 253 ] simplifiying candidate # 1554299858.945 * [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)))))) 1554299858.945 * * [misc]simplify: iters left: 6 (17 enodes) 1554299858.953 * * [misc]simplify: iters left: 5 (58 enodes) 1554299858.972 * * [misc]simplify: iters left: 4 (76 enodes) 1554299858.994 * * [misc]simplify: iters left: 3 (97 enodes) 1554299859.021 * * [misc]simplify: iters left: 2 (110 enodes) 1554299859.051 * * [misc]simplify: iters left: 1 (115 enodes) 1554299859.082 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.082 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299859.082 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554299859.082 * * [misc]simplify: Extracting #3: cost 41 inf + 0 1554299859.082 * * [misc]simplify: Extracting #4: cost 46 inf + 2 1554299859.083 * * [misc]simplify: Extracting #5: cost 43 inf + 168 1554299859.083 * * [misc]simplify: Extracting #6: cost 33 inf + 2077 1554299859.086 * * [misc]simplify: Extracting #7: cost 12 inf + 11819 1554299859.090 * * [misc]simplify: Extracting #8: cost 1 inf + 18667 1554299859.095 * * [misc]simplify: Extracting #9: cost 0 inf + 19492 1554299859.099 * [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)))))) 1554299859.099 * [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)))))))) 1554299859.099 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299859.100 * * [misc]simplify: iters left: 6 (16 enodes) 1554299859.104 * * [misc]simplify: iters left: 5 (53 enodes) 1554299859.114 * * [misc]simplify: iters left: 4 (63 enodes) 1554299859.123 * * [misc]simplify: iters left: 3 (69 enodes) 1554299859.134 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.134 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299859.134 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299859.134 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299859.134 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299859.134 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554299859.135 * * [misc]simplify: Extracting #6: cost 13 inf + 2616 1554299859.135 * * [misc]simplify: Extracting #7: cost 1 inf + 7792 1554299859.136 * * [misc]simplify: Extracting #8: cost 0 inf + 8617 1554299859.137 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299859.137 * [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)))))))) 1554299859.137 * * * * [misc]progress: [ 161 / 253 ] simplifiying candidate # 1554299859.138 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1554299859.138 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.142 * * [misc]simplify: iters left: 5 (52 enodes) 1554299859.150 * * [misc]simplify: iters left: 4 (65 enodes) 1554299859.166 * * [misc]simplify: iters left: 3 (78 enodes) 1554299859.186 * * [misc]simplify: iters left: 2 (85 enodes) 1554299859.199 * * [misc]simplify: iters left: 1 (90 enodes) 1554299859.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.212 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299859.212 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299859.212 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299859.213 * * [misc]simplify: Extracting #4: cost 24 inf + 205 1554299859.213 * * [misc]simplify: Extracting #5: cost 22 inf + 291 1554299859.213 * * [misc]simplify: Extracting #6: cost 10 inf + 2738 1554299859.214 * * [misc]simplify: Extracting #7: cost 1 inf + 7091 1554299859.215 * * [misc]simplify: Extracting #8: cost 0 inf + 7665 1554299859.216 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554299859.216 * [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))))))) 1554299859.216 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299859.216 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.223 * * [misc]simplify: iters left: 5 (50 enodes) 1554299859.238 * * [misc]simplify: iters left: 4 (60 enodes) 1554299859.255 * * [misc]simplify: iters left: 3 (66 enodes) 1554299859.272 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.272 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299859.272 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299859.272 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299859.272 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554299859.272 * * [misc]simplify: Extracting #5: cost 22 inf + 332 1554299859.273 * * [misc]simplify: Extracting #6: cost 8 inf + 3245 1554299859.274 * * [misc]simplify: Extracting #7: cost 0 inf + 7709 1554299859.276 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299859.276 * [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))))))) 1554299859.276 * * * * [misc]progress: [ 162 / 253 ] simplifiying candidate # 1554299859.276 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) 1554299859.277 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.284 * * [misc]simplify: iters left: 5 (55 enodes) 1554299859.299 * * [misc]simplify: iters left: 4 (71 enodes) 1554299859.310 * * [misc]simplify: iters left: 3 (100 enodes) 1554299859.330 * * [misc]simplify: iters left: 2 (113 enodes) 1554299859.363 * * [misc]simplify: iters left: 1 (144 enodes) 1554299859.406 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.406 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299859.406 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299859.407 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1554299859.407 * * [misc]simplify: Extracting #4: cost 26 inf + 126 1554299859.407 * * [misc]simplify: Extracting #5: cost 26 inf + 251 1554299859.407 * * [misc]simplify: Extracting #6: cost 22 inf + 419 1554299859.408 * * [misc]simplify: Extracting #7: cost 11 inf + 3277 1554299859.411 * * [misc]simplify: Extracting #8: cost 1 inf + 7733 1554299859.414 * * [misc]simplify: Extracting #9: cost 0 inf + 8268 1554299859.416 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299859.416 * [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))))))) 1554299859.417 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299859.417 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.424 * * [misc]simplify: iters left: 5 (51 enodes) 1554299859.439 * * [misc]simplify: iters left: 4 (59 enodes) 1554299859.455 * * [misc]simplify: iters left: 3 (63 enodes) 1554299859.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.472 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299859.472 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299859.472 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299859.472 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554299859.472 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554299859.473 * * [misc]simplify: Extracting #6: cost 8 inf + 2747 1554299859.473 * * [misc]simplify: Extracting #7: cost 1 inf + 6758 1554299859.474 * * [misc]simplify: Extracting #8: cost 0 inf + 7463 1554299859.475 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299859.475 * [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))))))) 1554299859.475 * * * * [misc]progress: [ 163 / 253 ] simplifiying candidate # 1554299859.475 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) 1554299859.475 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.479 * * [misc]simplify: iters left: 5 (55 enodes) 1554299859.488 * * [misc]simplify: iters left: 4 (71 enodes) 1554299859.499 * * [misc]simplify: iters left: 3 (100 enodes) 1554299859.528 * * [misc]simplify: iters left: 2 (113 enodes) 1554299859.561 * * [misc]simplify: iters left: 1 (144 enodes) 1554299859.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.608 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299859.608 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299859.608 * * [misc]simplify: Extracting #3: cost 22 inf + 3 1554299859.608 * * [misc]simplify: Extracting #4: cost 26 inf + 126 1554299859.608 * * [misc]simplify: Extracting #5: cost 26 inf + 251 1554299859.608 * * [misc]simplify: Extracting #6: cost 22 inf + 419 1554299859.609 * * [misc]simplify: Extracting #7: cost 11 inf + 3277 1554299859.610 * * [misc]simplify: Extracting #8: cost 1 inf + 7733 1554299859.611 * * [misc]simplify: Extracting #9: cost 0 inf + 8268 1554299859.613 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299859.613 * [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))))))) 1554299859.613 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299859.613 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.617 * * [misc]simplify: iters left: 5 (51 enodes) 1554299859.625 * * [misc]simplify: iters left: 4 (59 enodes) 1554299859.641 * * [misc]simplify: iters left: 3 (63 enodes) 1554299859.658 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.658 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299859.658 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299859.658 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299859.658 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554299859.658 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554299859.659 * * [misc]simplify: Extracting #6: cost 8 inf + 2747 1554299859.659 * * [misc]simplify: Extracting #7: cost 1 inf + 6758 1554299859.660 * * [misc]simplify: Extracting #8: cost 0 inf + 7463 1554299859.661 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299859.661 * [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))))))) 1554299859.661 * * * * [misc]progress: [ 164 / 253 ] simplifiying candidate # 1554299859.661 * [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))))))) 1554299859.661 * * [misc]simplify: iters left: 6 (17 enodes) 1554299859.666 * * [misc]simplify: iters left: 5 (62 enodes) 1554299859.676 * * [misc]simplify: iters left: 4 (86 enodes) 1554299859.692 * * [misc]simplify: iters left: 3 (136 enodes) 1554299859.739 * * [misc]simplify: iters left: 2 (180 enodes) 1554299859.788 * * [misc]simplify: iters left: 1 (269 enodes) 1554299859.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.900 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299859.900 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554299859.901 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299859.901 * * [misc]simplify: Extracting #4: cost 43 inf + 2 1554299859.901 * * [misc]simplify: Extracting #5: cost 44 inf + 5 1554299859.901 * * [misc]simplify: Extracting #6: cost 33 inf + 1665 1554299859.902 * * [misc]simplify: Extracting #7: cost 14 inf + 11058 1554299859.905 * * [misc]simplify: Extracting #8: cost 1 inf + 19084 1554299859.909 * * [misc]simplify: Extracting #9: cost 0 inf + 19870 1554299859.912 * [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)))))) 1554299859.912 * [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)))))))) 1554299859.913 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299859.913 * * [misc]simplify: iters left: 6 (15 enodes) 1554299859.916 * * [misc]simplify: iters left: 5 (50 enodes) 1554299859.924 * * [misc]simplify: iters left: 4 (60 enodes) 1554299859.933 * * [misc]simplify: iters left: 3 (66 enodes) 1554299859.941 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299859.942 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299859.942 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299859.942 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299859.942 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554299859.942 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554299859.942 * * [misc]simplify: Extracting #6: cost 9 inf + 3830 1554299859.943 * * [misc]simplify: Extracting #7: cost 0 inf + 8535 1554299859.944 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299859.944 * [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)))))))) 1554299859.944 * * * * [misc]progress: [ 165 / 253 ] simplifiying candidate # 1554299859.944 * [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)))))) 1554299859.944 * * [misc]simplify: iters left: 6 (16 enodes) 1554299859.951 * * [misc]simplify: iters left: 5 (57 enodes) 1554299859.969 * * [misc]simplify: iters left: 4 (73 enodes) 1554299859.995 * * [misc]simplify: iters left: 3 (102 enodes) 1554299860.020 * * [misc]simplify: iters left: 2 (115 enodes) 1554299860.038 * * [misc]simplify: iters left: 1 (146 enodes) 1554299860.070 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.070 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299860.070 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299860.070 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299860.071 * * [misc]simplify: Extracting #4: cost 31 inf + 2 1554299860.071 * * [misc]simplify: Extracting #5: cost 32 inf + 5 1554299860.071 * * [misc]simplify: Extracting #6: cost 27 inf + 215 1554299860.072 * * [misc]simplify: Extracting #7: cost 17 inf + 2416 1554299860.074 * * [misc]simplify: Extracting #8: cost 4 inf + 8967 1554299860.077 * * [misc]simplify: Extracting #9: cost 0 inf + 11288 1554299860.080 * [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))))) 1554299860.080 * [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)))))))) 1554299860.081 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299860.081 * * [misc]simplify: iters left: 6 (15 enodes) 1554299860.088 * * [misc]simplify: iters left: 5 (50 enodes) 1554299860.106 * * [misc]simplify: iters left: 4 (60 enodes) 1554299860.116 * * [misc]simplify: iters left: 3 (66 enodes) 1554299860.124 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.124 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299860.125 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299860.125 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299860.125 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554299860.125 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554299860.125 * * [misc]simplify: Extracting #6: cost 9 inf + 3710 1554299860.126 * * [misc]simplify: Extracting #7: cost 0 inf + 8215 1554299860.127 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299860.127 * [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)))))))) 1554299860.127 * * * * [misc]progress: [ 166 / 253 ] simplifiying candidate # 1554299860.127 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 1)) 1554299860.127 * * [misc]simplify: iters left: 6 (13 enodes) 1554299860.131 * * [misc]simplify: iters left: 5 (44 enodes) 1554299860.138 * * [misc]simplify: iters left: 4 (55 enodes) 1554299860.150 * * [misc]simplify: iters left: 3 (61 enodes) 1554299860.166 * * [misc]simplify: iters left: 2 (62 enodes) 1554299860.178 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.178 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299860.178 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299860.178 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299860.178 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299860.178 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554299860.178 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554299860.178 * * [misc]simplify: Extracting #7: cost 7 inf + 919 1554299860.178 * * [misc]simplify: Extracting #8: cost 1 inf + 3444 1554299860.179 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554299860.179 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299860.179 * [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))))))) 1554299860.180 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299860.180 * * [misc]simplify: iters left: 6 (14 enodes) 1554299860.183 * * [misc]simplify: iters left: 5 (47 enodes) 1554299860.190 * * [misc]simplify: iters left: 4 (57 enodes) 1554299860.201 * * [misc]simplify: iters left: 3 (63 enodes) 1554299860.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.216 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299860.216 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299860.216 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554299860.216 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554299860.216 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554299860.217 * * [misc]simplify: Extracting #6: cost 8 inf + 3534 1554299860.218 * * [misc]simplify: Extracting #7: cost 0 inf + 7307 1554299860.221 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299860.221 * [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))))))) 1554299860.221 * * * * [misc]progress: [ 167 / 253 ] simplifiying candidate # 1554299860.221 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554299860.222 * * [misc]simplify: iters left: 6 (12 enodes) 1554299860.229 * * [misc]simplify: iters left: 5 (41 enodes) 1554299860.242 * * [misc]simplify: iters left: 4 (56 enodes) 1554299860.258 * * [misc]simplify: iters left: 3 (59 enodes) 1554299860.274 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.274 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299860.275 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299860.275 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299860.275 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299860.275 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554299860.275 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554299860.275 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554299860.276 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554299860.277 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554299860.278 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299860.278 * [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))))))) 1554299860.278 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299860.279 * * [misc]simplify: iters left: 6 (14 enodes) 1554299860.286 * * [misc]simplify: iters left: 5 (47 enodes) 1554299860.299 * * [misc]simplify: iters left: 4 (57 enodes) 1554299860.312 * * [misc]simplify: iters left: 3 (63 enodes) 1554299860.321 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.321 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299860.321 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299860.321 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554299860.321 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554299860.321 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554299860.322 * * [misc]simplify: Extracting #6: cost 8 inf + 3534 1554299860.322 * * [misc]simplify: Extracting #7: cost 0 inf + 7307 1554299860.323 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299860.323 * [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))))))) 1554299860.323 * * * * [misc]progress: [ 168 / 253 ] simplifiying candidate # 1554299860.323 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) 1554299860.323 * * [misc]simplify: iters left: 6 (12 enodes) 1554299860.326 * * [misc]simplify: iters left: 5 (41 enodes) 1554299860.334 * * [misc]simplify: iters left: 4 (50 enodes) 1554299860.346 * * [misc]simplify: iters left: 3 (55 enodes) 1554299860.361 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.361 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299860.361 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299860.362 * * [misc]simplify: Extracting #3: cost 15 inf + 42 1554299860.362 * * [misc]simplify: Extracting #4: cost 21 inf + 83 1554299860.362 * * [misc]simplify: Extracting #5: cost 20 inf + 128 1554299860.363 * * [misc]simplify: Extracting #6: cost 5 inf + 4097 1554299860.364 * * [misc]simplify: Extracting #7: cost 1 inf + 5580 1554299860.365 * * [misc]simplify: Extracting #8: cost 0 inf + 6114 1554299860.365 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299860.366 * [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))))))) 1554299860.366 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554299860.366 * * [misc]simplify: iters left: 6 (14 enodes) 1554299860.370 * * [misc]simplify: iters left: 5 (49 enodes) 1554299860.377 * * [misc]simplify: iters left: 4 (57 enodes) 1554299860.386 * * [misc]simplify: iters left: 3 (66 enodes) 1554299860.396 * * [misc]simplify: iters left: 2 (67 enodes) 1554299860.405 * * [misc]simplify: iters left: 1 (69 enodes) 1554299860.423 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.423 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299860.423 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299860.424 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299860.424 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554299860.424 * * [misc]simplify: Extracting #5: cost 21 inf + 48 1554299860.424 * * [misc]simplify: Extracting #6: cost 5 inf + 3256 1554299860.426 * * [misc]simplify: Extracting #7: cost 1 inf + 5125 1554299860.427 * * [misc]simplify: Extracting #8: cost 0 inf + 5580 1554299860.428 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299860.428 * [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))))))) 1554299860.429 * * * * [misc]progress: [ 169 / 253 ] simplifiying candidate # 1554299860.429 * [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))) 1554299860.429 * * [misc]simplify: iters left: 6 (15 enodes) 1554299860.436 * * [misc]simplify: iters left: 5 (53 enodes) 1554299860.454 * * [misc]simplify: iters left: 4 (71 enodes) 1554299860.477 * * [misc]simplify: iters left: 3 (92 enodes) 1554299860.504 * * [misc]simplify: iters left: 2 (105 enodes) 1554299860.532 * * [misc]simplify: iters left: 1 (110 enodes) 1554299860.559 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.559 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299860.559 * * [misc]simplify: Extracting #2: cost 35 inf + 0 1554299860.560 * * [misc]simplify: Extracting #3: cost 33 inf + 85 1554299860.560 * * [misc]simplify: Extracting #4: cost 35 inf + 411 1554299860.560 * * [misc]simplify: Extracting #5: cost 33 inf + 699 1554299860.560 * * [misc]simplify: Extracting #6: cost 21 inf + 4292 1554299860.562 * * [misc]simplify: Extracting #7: cost 3 inf + 12395 1554299860.564 * * [misc]simplify: Extracting #8: cost 0 inf + 13918 1554299860.566 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299860.566 * [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))))) 1554299860.566 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554299860.566 * * [misc]simplify: iters left: 6 (12 enodes) 1554299860.569 * * [misc]simplify: iters left: 5 (39 enodes) 1554299860.575 * * [misc]simplify: iters left: 4 (44 enodes) 1554299860.586 * * [misc]simplify: iters left: 3 (46 enodes) 1554299860.601 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.601 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299860.601 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299860.601 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299860.601 * * [misc]simplify: Extracting #4: cost 15 inf + 87 1554299860.601 * * [misc]simplify: Extracting #5: cost 10 inf + 761 1554299860.601 * * [misc]simplify: Extracting #6: cost 5 inf + 1718 1554299860.602 * * [misc]simplify: Extracting #7: cost 1 inf + 3252 1554299860.602 * * [misc]simplify: Extracting #8: cost 0 inf + 3917 1554299860.603 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554299860.603 * [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))))) 1554299860.603 * * * * [misc]progress: [ 170 / 253 ] simplifiying candidate # 1554299860.603 * [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))))))) 1554299860.603 * * [misc]simplify: iters left: 6 (16 enodes) 1554299860.607 * * [misc]simplify: iters left: 5 (53 enodes) 1554299860.615 * * [misc]simplify: iters left: 4 (60 enodes) 1554299860.624 * * [misc]simplify: iters left: 3 (62 enodes) 1554299860.634 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.635 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299860.635 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554299860.635 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554299860.635 * * [misc]simplify: Extracting #4: cost 29 inf + 0 1554299860.635 * * [misc]simplify: Extracting #5: cost 25 inf + 88 1554299860.635 * * [misc]simplify: Extracting #6: cost 12 inf + 2456 1554299860.636 * * [misc]simplify: Extracting #7: cost 2 inf + 6925 1554299860.638 * * [misc]simplify: Extracting #8: cost 0 inf + 8535 1554299860.639 * [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))))))) 1554299860.639 * [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)))))))) 1554299860.640 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299860.640 * * [misc]simplify: iters left: 6 (15 enodes) 1554299860.646 * * [misc]simplify: iters left: 5 (48 enodes) 1554299860.653 * * [misc]simplify: iters left: 4 (53 enodes) 1554299860.660 * * [misc]simplify: iters left: 3 (55 enodes) 1554299860.668 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.668 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299860.668 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299860.668 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554299860.668 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554299860.669 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299860.669 * * [misc]simplify: Extracting #6: cost 8 inf + 2456 1554299860.670 * * [misc]simplify: Extracting #7: cost 0 inf + 5897 1554299860.670 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299860.670 * [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)))))))) 1554299860.670 * * * * [misc]progress: [ 171 / 253 ] simplifiying candidate # 1554299860.670 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299860.671 * * [misc]simplify: iters left: 6 (15 enodes) 1554299860.674 * * [misc]simplify: iters left: 5 (48 enodes) 1554299860.683 * * [misc]simplify: iters left: 4 (53 enodes) 1554299860.691 * * [misc]simplify: iters left: 3 (55 enodes) 1554299860.706 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.706 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299860.706 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299860.706 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554299860.706 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554299860.706 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299860.707 * * [misc]simplify: Extracting #6: cost 8 inf + 2416 1554299860.708 * * [misc]simplify: Extracting #7: cost 0 inf + 5737 1554299860.709 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299860.709 * [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)))))))) 1554299860.710 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299860.710 * * [misc]simplify: iters left: 6 (15 enodes) 1554299860.717 * * [misc]simplify: iters left: 5 (48 enodes) 1554299860.731 * * [misc]simplify: iters left: 4 (53 enodes) 1554299860.745 * * [misc]simplify: iters left: 3 (55 enodes) 1554299860.760 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.760 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299860.760 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299860.760 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554299860.760 * * [misc]simplify: Extracting #4: cost 25 inf + 0 1554299860.760 * * [misc]simplify: Extracting #5: cost 21 inf + 88 1554299860.761 * * [misc]simplify: Extracting #6: cost 8 inf + 2416 1554299860.762 * * [misc]simplify: Extracting #7: cost 0 inf + 5737 1554299860.763 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299860.763 * [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)))))))) 1554299860.763 * * * * [misc]progress: [ 172 / 253 ] simplifiying candidate # 1554299860.763 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299860.764 * * [misc]simplify: iters left: 6 (16 enodes) 1554299860.771 * * [misc]simplify: iters left: 5 (56 enodes) 1554299860.787 * * [misc]simplify: iters left: 4 (73 enodes) 1554299860.808 * * [misc]simplify: iters left: 3 (94 enodes) 1554299860.830 * * [misc]simplify: iters left: 2 (100 enodes) 1554299860.852 * * [misc]simplify: iters left: 1 (108 enodes) 1554299860.875 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.875 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299860.875 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299860.875 * * [misc]simplify: Extracting #3: cost 35 inf + 43 1554299860.876 * * [misc]simplify: Extracting #4: cost 38 inf + 126 1554299860.876 * * [misc]simplify: Extracting #5: cost 27 inf + 1947 1554299860.876 * * [misc]simplify: Extracting #6: cost 17 inf + 3978 1554299860.878 * * [misc]simplify: Extracting #7: cost 1 inf + 11943 1554299860.879 * * [misc]simplify: Extracting #8: cost 0 inf + 12477 1554299860.881 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1554299860.881 * [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))))))) 1554299860.881 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299860.881 * * [misc]simplify: iters left: 6 (16 enodes) 1554299860.885 * * [misc]simplify: iters left: 5 (54 enodes) 1554299860.893 * * [misc]simplify: iters left: 4 (62 enodes) 1554299860.901 * * [misc]simplify: iters left: 3 (66 enodes) 1554299860.911 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299860.912 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299860.912 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299860.912 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299860.912 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299860.912 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554299860.912 * * [misc]simplify: Extracting #6: cost 6 inf + 4148 1554299860.913 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554299860.914 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554299860.915 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299860.915 * [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)))))) 1554299860.915 * * * * [misc]progress: [ 173 / 253 ] simplifiying candidate # 1554299860.915 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299860.915 * * [misc]simplify: iters left: 6 (16 enodes) 1554299860.919 * * [misc]simplify: iters left: 5 (56 enodes) 1554299860.928 * * [misc]simplify: iters left: 4 (73 enodes) 1554299860.948 * * [misc]simplify: iters left: 3 (94 enodes) 1554299860.975 * * [misc]simplify: iters left: 2 (100 enodes) 1554299860.993 * * [misc]simplify: iters left: 1 (108 enodes) 1554299861.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.007 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299861.007 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554299861.007 * * [misc]simplify: Extracting #3: cost 35 inf + 43 1554299861.007 * * [misc]simplify: Extracting #4: cost 38 inf + 126 1554299861.008 * * [misc]simplify: Extracting #5: cost 27 inf + 1947 1554299861.008 * * [misc]simplify: Extracting #6: cost 17 inf + 3978 1554299861.009 * * [misc]simplify: Extracting #7: cost 1 inf + 11943 1554299861.011 * * [misc]simplify: Extracting #8: cost 0 inf + 12477 1554299861.013 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1554299861.013 * [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))))))) 1554299861.013 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299861.013 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.017 * * [misc]simplify: iters left: 5 (54 enodes) 1554299861.032 * * [misc]simplify: iters left: 4 (62 enodes) 1554299861.050 * * [misc]simplify: iters left: 3 (66 enodes) 1554299861.065 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.065 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.065 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299861.066 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299861.066 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299861.066 * * [misc]simplify: Extracting #5: cost 17 inf + 1163 1554299861.067 * * [misc]simplify: Extracting #6: cost 6 inf + 4148 1554299861.068 * * [misc]simplify: Extracting #7: cost 1 inf + 7160 1554299861.069 * * [misc]simplify: Extracting #8: cost 0 inf + 8025 1554299861.072 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299861.072 * [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)))))) 1554299861.072 * * * * [misc]progress: [ 174 / 253 ] simplifiying candidate # 1554299861.072 * [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))))))) 1554299861.073 * * [misc]simplify: iters left: 6 (18 enodes) 1554299861.081 * * [misc]simplify: iters left: 5 (65 enodes) 1554299861.099 * * [misc]simplify: iters left: 4 (99 enodes) 1554299861.114 * * [misc]simplify: iters left: 3 (138 enodes) 1554299861.138 * * [misc]simplify: iters left: 2 (168 enodes) 1554299861.172 * * [misc]simplify: iters left: 1 (199 enodes) 1554299861.201 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.201 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299861.202 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554299861.202 * * [misc]simplify: Extracting #3: cost 62 inf + 0 1554299861.202 * * [misc]simplify: Extracting #4: cost 66 inf + 43 1554299861.202 * * [misc]simplify: Extracting #5: cost 62 inf + 490 1554299861.203 * * [misc]simplify: Extracting #6: cost 50 inf + 3667 1554299861.204 * * [misc]simplify: Extracting #7: cost 30 inf + 12892 1554299861.208 * * [misc]simplify: Extracting #8: cost 3 inf + 31784 1554299861.214 * * [misc]simplify: Extracting #9: cost 0 inf + 33466 1554299861.224 * [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))))) 1554299861.224 * [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)))))))) 1554299861.224 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.225 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.232 * * [misc]simplify: iters left: 5 (53 enodes) 1554299861.251 * * [misc]simplify: iters left: 4 (63 enodes) 1554299861.260 * * [misc]simplify: iters left: 3 (69 enodes) 1554299861.269 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.269 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.269 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299861.269 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299861.269 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299861.269 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554299861.270 * * [misc]simplify: Extracting #6: cost 13 inf + 2696 1554299861.270 * * [misc]simplify: Extracting #7: cost 1 inf + 8072 1554299861.271 * * [misc]simplify: Extracting #8: cost 0 inf + 8937 1554299861.272 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.272 * [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)))))))) 1554299861.272 * * * * [misc]progress: [ 175 / 253 ] simplifiying candidate # 1554299861.273 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.273 * * [misc]simplify: iters left: 6 (17 enodes) 1554299861.282 * * [misc]simplify: iters left: 5 (58 enodes) 1554299861.294 * * [misc]simplify: iters left: 4 (75 enodes) 1554299861.305 * * [misc]simplify: iters left: 3 (96 enodes) 1554299861.318 * * [misc]simplify: iters left: 2 (102 enodes) 1554299861.346 * * [misc]simplify: iters left: 1 (110 enodes) 1554299861.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.374 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299861.374 * * [misc]simplify: Extracting #2: cost 32 inf + 0 1554299861.374 * * [misc]simplify: Extracting #3: cost 39 inf + 0 1554299861.375 * * [misc]simplify: Extracting #4: cost 42 inf + 84 1554299861.375 * * [misc]simplify: Extracting #5: cost 37 inf + 614 1554299861.375 * * [misc]simplify: Extracting #6: cost 28 inf + 2149 1554299861.377 * * [misc]simplify: Extracting #7: cost 10 inf + 10399 1554299861.379 * * [misc]simplify: Extracting #8: cost 1 inf + 16169 1554299861.381 * * [misc]simplify: Extracting #9: cost 0 inf + 16663 1554299861.383 * [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)))) 1554299861.383 * [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)))))))) 1554299861.383 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.383 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.387 * * [misc]simplify: iters left: 5 (53 enodes) 1554299861.394 * * [misc]simplify: iters left: 4 (63 enodes) 1554299861.403 * * [misc]simplify: iters left: 3 (69 enodes) 1554299861.419 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.419 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.419 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299861.419 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299861.419 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299861.419 * * [misc]simplify: Extracting #5: cost 24 inf + 371 1554299861.420 * * [misc]simplify: Extracting #6: cost 13 inf + 2656 1554299861.421 * * [misc]simplify: Extracting #7: cost 1 inf + 7792 1554299861.423 * * [misc]simplify: Extracting #8: cost 0 inf + 8617 1554299861.425 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.425 * [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)))))))) 1554299861.425 * * * * [misc]progress: [ 176 / 253 ] simplifiying candidate # 1554299861.426 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299861.426 * * [misc]simplify: iters left: 6 (15 enodes) 1554299861.433 * * [misc]simplify: iters left: 5 (52 enodes) 1554299861.450 * * [misc]simplify: iters left: 4 (72 enodes) 1554299861.473 * * [misc]simplify: iters left: 3 (85 enodes) 1554299861.495 * * [misc]simplify: iters left: 2 (92 enodes) 1554299861.510 * * [misc]simplify: iters left: 1 (105 enodes) 1554299861.526 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.526 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299861.526 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299861.526 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299861.527 * * [misc]simplify: Extracting #4: cost 31 inf + 43 1554299861.527 * * [misc]simplify: Extracting #5: cost 22 inf + 1219 1554299861.527 * * [misc]simplify: Extracting #6: cost 8 inf + 4110 1554299861.528 * * [misc]simplify: Extracting #7: cost 0 inf + 8009 1554299861.530 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299861.530 * [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))))))) 1554299861.530 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299861.530 * * [misc]simplify: iters left: 6 (15 enodes) 1554299861.534 * * [misc]simplify: iters left: 5 (50 enodes) 1554299861.541 * * [misc]simplify: iters left: 4 (60 enodes) 1554299861.550 * * [misc]simplify: iters left: 3 (66 enodes) 1554299861.560 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.560 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.560 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299861.561 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299861.561 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554299861.561 * * [misc]simplify: Extracting #5: cost 22 inf + 412 1554299861.561 * * [misc]simplify: Extracting #6: cost 8 inf + 3285 1554299861.562 * * [misc]simplify: Extracting #7: cost 0 inf + 7709 1554299861.563 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299861.563 * [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))))))) 1554299861.563 * * * * [misc]progress: [ 177 / 253 ] simplifiying candidate # 1554299861.563 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299861.563 * * [misc]simplify: iters left: 6 (15 enodes) 1554299861.567 * * [misc]simplify: iters left: 5 (51 enodes) 1554299861.575 * * [misc]simplify: iters left: 4 (61 enodes) 1554299861.584 * * [misc]simplify: iters left: 3 (67 enodes) 1554299861.593 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.593 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.593 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299861.593 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554299861.593 * * [misc]simplify: Extracting #4: cost 23 inf + 126 1554299861.593 * * [misc]simplify: Extracting #5: cost 19 inf + 535 1554299861.594 * * [misc]simplify: Extracting #6: cost 8 inf + 2396 1554299861.595 * * [misc]simplify: Extracting #7: cost 0 inf + 5699 1554299861.597 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554299861.597 * [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))))))) 1554299861.597 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299861.597 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.605 * * [misc]simplify: iters left: 5 (54 enodes) 1554299861.620 * * [misc]simplify: iters left: 4 (62 enodes) 1554299861.639 * * [misc]simplify: iters left: 3 (66 enodes) 1554299861.656 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.657 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.657 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299861.657 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299861.657 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299861.657 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554299861.658 * * [misc]simplify: Extracting #6: cost 6 inf + 3988 1554299861.660 * * [misc]simplify: Extracting #7: cost 1 inf + 6880 1554299861.661 * * [misc]simplify: Extracting #8: cost 0 inf + 7705 1554299861.663 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299861.663 * [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)))))) 1554299861.663 * * * * [misc]progress: [ 178 / 253 ] simplifiying candidate # 1554299861.664 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299861.664 * * [misc]simplify: iters left: 6 (15 enodes) 1554299861.672 * * [misc]simplify: iters left: 5 (51 enodes) 1554299861.689 * * [misc]simplify: iters left: 4 (61 enodes) 1554299861.706 * * [misc]simplify: iters left: 3 (67 enodes) 1554299861.724 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.724 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.724 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299861.724 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554299861.724 * * [misc]simplify: Extracting #4: cost 23 inf + 126 1554299861.724 * * [misc]simplify: Extracting #5: cost 19 inf + 535 1554299861.725 * * [misc]simplify: Extracting #6: cost 8 inf + 2396 1554299861.726 * * [misc]simplify: Extracting #7: cost 0 inf + 5699 1554299861.728 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554299861.728 * [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))))))) 1554299861.728 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299861.729 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.736 * * [misc]simplify: iters left: 5 (54 enodes) 1554299861.749 * * [misc]simplify: iters left: 4 (62 enodes) 1554299861.758 * * [misc]simplify: iters left: 3 (66 enodes) 1554299861.767 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.767 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.767 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299861.767 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299861.767 * * [misc]simplify: Extracting #4: cost 26 inf + 168 1554299861.767 * * [misc]simplify: Extracting #5: cost 17 inf + 1083 1554299861.768 * * [misc]simplify: Extracting #6: cost 6 inf + 3988 1554299861.768 * * [misc]simplify: Extracting #7: cost 1 inf + 6880 1554299861.769 * * [misc]simplify: Extracting #8: cost 0 inf + 7705 1554299861.770 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1554299861.770 * [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)))))) 1554299861.770 * * * * [misc]progress: [ 179 / 253 ] simplifiying candidate # 1554299861.770 * [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))))))) 1554299861.770 * * [misc]simplify: iters left: 6 (17 enodes) 1554299861.774 * * [misc]simplify: iters left: 5 (58 enodes) 1554299861.784 * * [misc]simplify: iters left: 4 (74 enodes) 1554299861.798 * * [misc]simplify: iters left: 3 (88 enodes) 1554299861.822 * * [misc]simplify: iters left: 2 (96 enodes) 1554299861.847 * * [misc]simplify: iters left: 1 (102 enodes) 1554299861.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.873 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299861.873 * * [misc]simplify: Extracting #2: cost 29 inf + 0 1554299861.873 * * [misc]simplify: Extracting #3: cost 36 inf + 0 1554299861.873 * * [misc]simplify: Extracting #4: cost 39 inf + 84 1554299861.874 * * [misc]simplify: Extracting #5: cost 37 inf + 249 1554299861.874 * * [misc]simplify: Extracting #6: cost 23 inf + 2872 1554299861.877 * * [misc]simplify: Extracting #7: cost 8 inf + 10633 1554299861.880 * * [misc]simplify: Extracting #8: cost 0 inf + 16371 1554299861.884 * [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)))))) 1554299861.884 * [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)))))))) 1554299861.885 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.885 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.892 * * [misc]simplify: iters left: 5 (53 enodes) 1554299861.907 * * [misc]simplify: iters left: 4 (63 enodes) 1554299861.925 * * [misc]simplify: iters left: 3 (69 enodes) 1554299861.943 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.943 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.943 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299861.943 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299861.943 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299861.943 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554299861.944 * * [misc]simplify: Extracting #6: cost 13 inf + 2576 1554299861.945 * * [misc]simplify: Extracting #7: cost 1 inf + 7792 1554299861.949 * * [misc]simplify: Extracting #8: cost 0 inf + 8617 1554299861.950 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.951 * [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)))))))) 1554299861.951 * * * * [misc]progress: [ 180 / 253 ] simplifiying candidate # 1554299861.951 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.951 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.956 * * [misc]simplify: iters left: 5 (53 enodes) 1554299861.963 * * [misc]simplify: iters left: 4 (63 enodes) 1554299861.972 * * [misc]simplify: iters left: 3 (69 enodes) 1554299861.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299861.981 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299861.981 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299861.981 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299861.981 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299861.981 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554299861.982 * * [misc]simplify: Extracting #6: cost 13 inf + 2536 1554299861.982 * * [misc]simplify: Extracting #7: cost 1 inf + 7512 1554299861.983 * * [misc]simplify: Extracting #8: cost 0 inf + 8297 1554299861.984 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.984 * [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)))))))) 1554299861.985 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299861.985 * * [misc]simplify: iters left: 6 (16 enodes) 1554299861.992 * * [misc]simplify: iters left: 5 (53 enodes) 1554299862.002 * * [misc]simplify: iters left: 4 (63 enodes) 1554299862.011 * * [misc]simplify: iters left: 3 (69 enodes) 1554299862.019 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.019 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.019 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299862.020 * * [misc]simplify: Extracting #3: cost 24 inf + 0 1554299862.020 * * [misc]simplify: Extracting #4: cost 28 inf + 43 1554299862.020 * * [misc]simplify: Extracting #5: cost 24 inf + 291 1554299862.020 * * [misc]simplify: Extracting #6: cost 13 inf + 2536 1554299862.021 * * [misc]simplify: Extracting #7: cost 1 inf + 7512 1554299862.022 * * [misc]simplify: Extracting #8: cost 0 inf + 8297 1554299862.023 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299862.023 * [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)))))))) 1554299862.023 * * * * [misc]progress: [ 181 / 253 ] simplifiying candidate # 1554299862.023 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1554299862.023 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.028 * * [misc]simplify: iters left: 5 (47 enodes) 1554299862.044 * * [misc]simplify: iters left: 4 (56 enodes) 1554299862.059 * * [misc]simplify: iters left: 3 (61 enodes) 1554299862.073 * * [misc]simplify: iters left: 2 (62 enodes) 1554299862.089 * * [misc]simplify: iters left: 1 (64 enodes) 1554299862.097 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.097 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299862.097 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554299862.097 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554299862.098 * * [misc]simplify: Extracting #4: cost 20 inf + 43 1554299862.098 * * [misc]simplify: Extracting #5: cost 16 inf + 291 1554299862.098 * * [misc]simplify: Extracting #6: cost 6 inf + 2402 1554299862.098 * * [misc]simplify: Extracting #7: cost 0 inf + 4221 1554299862.099 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299862.099 * [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))))))) 1554299862.099 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299862.099 * * [misc]simplify: iters left: 6 (15 enodes) 1554299862.103 * * [misc]simplify: iters left: 5 (50 enodes) 1554299862.110 * * [misc]simplify: iters left: 4 (60 enodes) 1554299862.119 * * [misc]simplify: iters left: 3 (66 enodes) 1554299862.137 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.137 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.137 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299862.137 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299862.138 * * [misc]simplify: Extracting #4: cost 28 inf + 44 1554299862.138 * * [misc]simplify: Extracting #5: cost 22 inf + 332 1554299862.138 * * [misc]simplify: Extracting #6: cost 8 inf + 3165 1554299862.140 * * [misc]simplify: Extracting #7: cost 0 inf + 7389 1554299862.141 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299862.141 * [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))))))) 1554299862.141 * * * * [misc]progress: [ 182 / 253 ] simplifiying candidate # 1554299862.141 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554299862.142 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.145 * * [misc]simplify: iters left: 5 (50 enodes) 1554299862.154 * * [misc]simplify: iters left: 4 (58 enodes) 1554299862.162 * * [misc]simplify: iters left: 3 (67 enodes) 1554299862.172 * * [misc]simplify: iters left: 2 (68 enodes) 1554299862.189 * * [misc]simplify: iters left: 1 (70 enodes) 1554299862.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.206 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299862.206 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299862.206 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554299862.206 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554299862.207 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554299862.207 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554299862.207 * * [misc]simplify: Extracting #7: cost 4 inf + 2329 1554299862.208 * * [misc]simplify: Extracting #8: cost 1 inf + 3573 1554299862.210 * * [misc]simplify: Extracting #9: cost 0 inf + 3988 1554299862.211 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299862.211 * [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))))))) 1554299862.211 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299862.211 * * [misc]simplify: iters left: 6 (15 enodes) 1554299862.218 * * [misc]simplify: iters left: 5 (51 enodes) 1554299862.234 * * [misc]simplify: iters left: 4 (59 enodes) 1554299862.250 * * [misc]simplify: iters left: 3 (63 enodes) 1554299862.258 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.258 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.258 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299862.258 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299862.258 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554299862.258 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554299862.258 * * [misc]simplify: Extracting #6: cost 8 inf + 2707 1554299862.259 * * [misc]simplify: Extracting #7: cost 1 inf + 6478 1554299862.260 * * [misc]simplify: Extracting #8: cost 0 inf + 7143 1554299862.260 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299862.261 * [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))))))) 1554299862.261 * * * * [misc]progress: [ 183 / 253 ] simplifiying candidate # 1554299862.261 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554299862.261 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.265 * * [misc]simplify: iters left: 5 (50 enodes) 1554299862.274 * * [misc]simplify: iters left: 4 (58 enodes) 1554299862.287 * * [misc]simplify: iters left: 3 (67 enodes) 1554299862.306 * * [misc]simplify: iters left: 2 (68 enodes) 1554299862.323 * * [misc]simplify: iters left: 1 (70 enodes) 1554299862.340 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.340 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299862.340 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299862.340 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554299862.340 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554299862.340 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554299862.340 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554299862.341 * * [misc]simplify: Extracting #7: cost 4 inf + 2329 1554299862.341 * * [misc]simplify: Extracting #8: cost 1 inf + 3573 1554299862.342 * * [misc]simplify: Extracting #9: cost 0 inf + 3988 1554299862.342 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299862.342 * [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))))))) 1554299862.343 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299862.343 * * [misc]simplify: iters left: 6 (15 enodes) 1554299862.347 * * [misc]simplify: iters left: 5 (51 enodes) 1554299862.354 * * [misc]simplify: iters left: 4 (59 enodes) 1554299862.363 * * [misc]simplify: iters left: 3 (63 enodes) 1554299862.381 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.381 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.381 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299862.381 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299862.381 * * [misc]simplify: Extracting #4: cost 24 inf + 168 1554299862.382 * * [misc]simplify: Extracting #5: cost 17 inf + 1001 1554299862.382 * * [misc]simplify: Extracting #6: cost 8 inf + 2707 1554299862.384 * * [misc]simplify: Extracting #7: cost 1 inf + 6478 1554299862.385 * * [misc]simplify: Extracting #8: cost 0 inf + 7143 1554299862.387 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299862.387 * [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))))))) 1554299862.387 * * * * [misc]progress: [ 184 / 253 ] simplifiying candidate # 1554299862.387 * [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))))))) 1554299862.387 * * [misc]simplify: iters left: 6 (16 enodes) 1554299862.392 * * [misc]simplify: iters left: 5 (57 enodes) 1554299862.402 * * [misc]simplify: iters left: 4 (71 enodes) 1554299862.413 * * [misc]simplify: iters left: 3 (88 enodes) 1554299862.428 * * [misc]simplify: iters left: 2 (97 enodes) 1554299862.452 * * [misc]simplify: iters left: 1 (120 enodes) 1554299862.485 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.485 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299862.485 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299862.485 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299862.486 * * [misc]simplify: Extracting #4: cost 31 inf + 2 1554299862.486 * * [misc]simplify: Extracting #5: cost 32 inf + 5 1554299862.486 * * [misc]simplify: Extracting #6: cost 29 inf + 132 1554299862.487 * * [misc]simplify: Extracting #7: cost 18 inf + 2336 1554299862.488 * * [misc]simplify: Extracting #8: cost 3 inf + 9223 1554299862.491 * * [misc]simplify: Extracting #9: cost 0 inf + 11128 1554299862.494 * [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)))))) 1554299862.494 * [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)))))))) 1554299862.494 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299862.494 * * [misc]simplify: iters left: 6 (15 enodes) 1554299862.501 * * [misc]simplify: iters left: 5 (50 enodes) 1554299862.515 * * [misc]simplify: iters left: 4 (60 enodes) 1554299862.529 * * [misc]simplify: iters left: 3 (66 enodes) 1554299862.544 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.545 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.545 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299862.545 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299862.545 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554299862.545 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554299862.546 * * [misc]simplify: Extracting #6: cost 9 inf + 3750 1554299862.547 * * [misc]simplify: Extracting #7: cost 0 inf + 8215 1554299862.548 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299862.548 * [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)))))))) 1554299862.548 * * * * [misc]progress: [ 185 / 253 ] simplifiying candidate # 1554299862.549 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299862.549 * * [misc]simplify: iters left: 6 (15 enodes) 1554299862.555 * * [misc]simplify: iters left: 5 (52 enodes) 1554299862.569 * * [misc]simplify: iters left: 4 (60 enodes) 1554299862.578 * * [misc]simplify: iters left: 3 (69 enodes) 1554299862.588 * * [misc]simplify: iters left: 2 (70 enodes) 1554299862.598 * * [misc]simplify: iters left: 1 (72 enodes) 1554299862.613 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.614 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299862.614 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299862.614 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299862.614 * * [misc]simplify: Extracting #4: cost 23 inf + 2 1554299862.614 * * [misc]simplify: Extracting #5: cost 24 inf + 5 1554299862.614 * * [misc]simplify: Extracting #6: cost 20 inf + 174 1554299862.615 * * [misc]simplify: Extracting #7: cost 7 inf + 3259 1554299862.616 * * [misc]simplify: Extracting #8: cost 0 inf + 6168 1554299862.618 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299862.618 * [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)))))))) 1554299862.618 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299862.618 * * [misc]simplify: iters left: 6 (15 enodes) 1554299862.627 * * [misc]simplify: iters left: 5 (50 enodes) 1554299862.637 * * [misc]simplify: iters left: 4 (60 enodes) 1554299862.646 * * [misc]simplify: iters left: 3 (66 enodes) 1554299862.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.654 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.654 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299862.654 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299862.654 * * [misc]simplify: Extracting #4: cost 25 inf + 84 1554299862.654 * * [misc]simplify: Extracting #5: cost 24 inf + 129 1554299862.655 * * [misc]simplify: Extracting #6: cost 9 inf + 3630 1554299862.656 * * [misc]simplify: Extracting #7: cost 0 inf + 7895 1554299862.656 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299862.656 * [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)))))))) 1554299862.657 * * * * [misc]progress: [ 186 / 253 ] simplifiying candidate # 1554299862.657 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 1)) 1554299862.657 * * [misc]simplify: iters left: 6 (12 enodes) 1554299862.660 * * [misc]simplify: iters left: 5 (39 enodes) 1554299862.671 * * [misc]simplify: iters left: 4 (46 enodes) 1554299862.681 * * [misc]simplify: iters left: 3 (50 enodes) 1554299862.687 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.687 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299862.687 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299862.688 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299862.688 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299862.688 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1554299862.688 * * [misc]simplify: Extracting #6: cost 2 inf + 1545 1554299862.688 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554299862.688 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299862.688 * [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))))))) 1554299862.689 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299862.689 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.692 * * [misc]simplify: iters left: 5 (47 enodes) 1554299862.699 * * [misc]simplify: iters left: 4 (57 enodes) 1554299862.708 * * [misc]simplify: iters left: 3 (63 enodes) 1554299862.730 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.730 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.730 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299862.730 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554299862.731 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554299862.731 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554299862.732 * * [misc]simplify: Extracting #6: cost 8 inf + 3414 1554299862.733 * * [misc]simplify: Extracting #7: cost 0 inf + 6987 1554299862.735 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299862.735 * [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))))))) 1554299862.735 * * * * [misc]progress: [ 187 / 253 ] simplifiying candidate # 1554299862.735 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554299862.736 * * [misc]simplify: iters left: 6 (11 enodes) 1554299862.742 * * [misc]simplify: iters left: 5 (36 enodes) 1554299862.753 * * [misc]simplify: iters left: 4 (43 enodes) 1554299862.765 * * [misc]simplify: iters left: 3 (45 enodes) 1554299862.777 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.777 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299862.777 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299862.778 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299862.778 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299862.778 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554299862.778 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554299862.778 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554299862.779 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299862.779 * [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))))))) 1554299862.779 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299862.780 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.786 * * [misc]simplify: iters left: 5 (47 enodes) 1554299862.798 * * [misc]simplify: iters left: 4 (57 enodes) 1554299862.813 * * [misc]simplify: iters left: 3 (63 enodes) 1554299862.827 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.827 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.828 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299862.828 * * [misc]simplify: Extracting #3: cost 21 inf + 43 1554299862.828 * * [misc]simplify: Extracting #4: cost 25 inf + 85 1554299862.828 * * [misc]simplify: Extracting #5: cost 22 inf + 170 1554299862.829 * * [misc]simplify: Extracting #6: cost 8 inf + 3414 1554299862.829 * * [misc]simplify: Extracting #7: cost 0 inf + 6987 1554299862.830 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299862.830 * [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))))))) 1554299862.830 * * * * [misc]progress: [ 188 / 253 ] simplifiying candidate # 1554299862.830 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299862.830 * * [misc]simplify: iters left: 6 (11 enodes) 1554299862.834 * * [misc]simplify: iters left: 5 (36 enodes) 1554299862.839 * * [misc]simplify: iters left: 4 (41 enodes) 1554299862.845 * * [misc]simplify: iters left: 3 (43 enodes) 1554299862.851 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.851 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299862.851 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299862.851 * * [misc]simplify: Extracting #3: cost 8 inf + 83 1554299862.851 * * [misc]simplify: Extracting #4: cost 15 inf + 83 1554299862.851 * * [misc]simplify: Extracting #5: cost 13 inf + 210 1554299862.851 * * [misc]simplify: Extracting #6: cost 6 inf + 959 1554299862.852 * * [misc]simplify: Extracting #7: cost 0 inf + 2990 1554299862.852 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299862.852 * [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))))))) 1554299862.852 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554299862.852 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.857 * * [misc]simplify: iters left: 5 (49 enodes) 1554299862.865 * * [misc]simplify: iters left: 4 (57 enodes) 1554299862.873 * * [misc]simplify: iters left: 3 (66 enodes) 1554299862.883 * * [misc]simplify: iters left: 2 (67 enodes) 1554299862.900 * * [misc]simplify: iters left: 1 (69 enodes) 1554299862.914 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.914 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299862.914 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299862.914 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299862.914 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554299862.914 * * [misc]simplify: Extracting #5: cost 21 inf + 48 1554299862.915 * * [misc]simplify: Extracting #6: cost 5 inf + 3176 1554299862.915 * * [misc]simplify: Extracting #7: cost 1 inf + 4925 1554299862.916 * * [misc]simplify: Extracting #8: cost 0 inf + 5340 1554299862.917 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299862.917 * [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))))))) 1554299862.917 * * * * [misc]progress: [ 189 / 253 ] simplifiying candidate # 1554299862.917 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI 1/2))) 1554299862.917 * * [misc]simplify: iters left: 6 (14 enodes) 1554299862.920 * * [misc]simplify: iters left: 5 (48 enodes) 1554299862.927 * * [misc]simplify: iters left: 4 (58 enodes) 1554299862.935 * * [misc]simplify: iters left: 3 (64 enodes) 1554299862.950 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.950 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299862.950 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299862.950 * * [misc]simplify: Extracting #3: cost 17 inf + 44 1554299862.951 * * [misc]simplify: Extracting #4: cost 19 inf + 370 1554299862.951 * * [misc]simplify: Extracting #5: cost 18 inf + 455 1554299862.952 * * [misc]simplify: Extracting #6: cost 5 inf + 3479 1554299862.953 * * [misc]simplify: Extracting #7: cost 1 inf + 4843 1554299862.956 * * [misc]simplify: Extracting #8: cost 0 inf + 5297 1554299862.957 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt PI))) 1554299862.957 * [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))))) 1554299862.958 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554299862.958 * * [misc]simplify: iters left: 6 (12 enodes) 1554299862.964 * * [misc]simplify: iters left: 5 (39 enodes) 1554299862.975 * * [misc]simplify: iters left: 4 (44 enodes) 1554299862.988 * * [misc]simplify: iters left: 3 (46 enodes) 1554299862.995 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299862.995 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299862.995 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299862.995 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299862.995 * * [misc]simplify: Extracting #4: cost 15 inf + 87 1554299862.995 * * [misc]simplify: Extracting #5: cost 10 inf + 761 1554299862.995 * * [misc]simplify: Extracting #6: cost 5 inf + 1718 1554299862.995 * * [misc]simplify: Extracting #7: cost 1 inf + 3132 1554299862.996 * * [misc]simplify: Extracting #8: cost 0 inf + 3757 1554299862.996 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) 1554299862.996 * [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))))) 1554299862.996 * * * * [misc]progress: [ 190 / 253 ] simplifiying candidate # 1554299862.997 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1554299862.997 * * [misc]simplify: iters left: 6 (13 enodes) 1554299863.000 * * [misc]simplify: iters left: 5 (45 enodes) 1554299863.007 * * [misc]simplify: iters left: 4 (54 enodes) 1554299863.015 * * [misc]simplify: iters left: 3 (56 enodes) 1554299863.028 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.028 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299863.028 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299863.028 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554299863.028 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299863.029 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554299863.029 * * [misc]simplify: Extracting #6: cost 20 inf + 86 1554299863.029 * * [misc]simplify: Extracting #7: cost 19 inf + 128 1554299863.029 * * [misc]simplify: Extracting #8: cost 11 inf + 1380 1554299863.030 * * [misc]simplify: Extracting #9: cost 1 inf + 5381 1554299863.031 * * [misc]simplify: Extracting #10: cost 0 inf + 5875 1554299863.033 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.033 * [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)))))))) 1554299863.033 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.033 * * [misc]simplify: iters left: 6 (14 enodes) 1554299863.040 * * [misc]simplify: iters left: 5 (45 enodes) 1554299863.053 * * [misc]simplify: iters left: 4 (50 enodes) 1554299863.066 * * [misc]simplify: iters left: 3 (52 enodes) 1554299863.073 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.073 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299863.073 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299863.073 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554299863.073 * * [misc]simplify: Extracting #4: cost 23 inf + 3 1554299863.073 * * [misc]simplify: Extracting #5: cost 17 inf + 214 1554299863.074 * * [misc]simplify: Extracting #6: cost 2 inf + 3870 1554299863.075 * * [misc]simplify: Extracting #7: cost 0 inf + 5069 1554299863.075 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.075 * [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)))))))) 1554299863.075 * * * * [misc]progress: [ 191 / 253 ] simplifiying candidate # 1554299863.076 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.076 * * [misc]simplify: iters left: 6 (12 enodes) 1554299863.079 * * [misc]simplify: iters left: 5 (40 enodes) 1554299863.085 * * [misc]simplify: iters left: 4 (47 enodes) 1554299863.092 * * [misc]simplify: iters left: 3 (49 enodes) 1554299863.105 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.105 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299863.105 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299863.105 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554299863.106 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1554299863.106 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554299863.106 * * [misc]simplify: Extracting #6: cost 16 inf + 86 1554299863.106 * * [misc]simplify: Extracting #7: cost 15 inf + 128 1554299863.106 * * [misc]simplify: Extracting #8: cost 9 inf + 501 1554299863.107 * * [misc]simplify: Extracting #9: cost 4 inf + 1919 1554299863.107 * * [misc]simplify: Extracting #10: cost 2 inf + 2788 1554299863.108 * * [misc]simplify: Extracting #11: cost 0 inf + 3657 1554299863.109 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.109 * [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)))))))) 1554299863.109 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.110 * * [misc]simplify: iters left: 6 (14 enodes) 1554299863.116 * * [misc]simplify: iters left: 5 (45 enodes) 1554299863.128 * * [misc]simplify: iters left: 4 (50 enodes) 1554299863.143 * * [misc]simplify: iters left: 3 (52 enodes) 1554299863.160 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.160 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299863.160 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299863.160 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554299863.160 * * [misc]simplify: Extracting #4: cost 23 inf + 3 1554299863.160 * * [misc]simplify: Extracting #5: cost 17 inf + 214 1554299863.161 * * [misc]simplify: Extracting #6: cost 2 inf + 3790 1554299863.162 * * [misc]simplify: Extracting #7: cost 0 inf + 4909 1554299863.163 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299863.163 * [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)))))))) 1554299863.163 * * * * [misc]progress: [ 192 / 253 ] simplifiying candidate # 1554299863.164 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299863.164 * * [misc]simplify: iters left: 6 (10 enodes) 1554299863.169 * * [misc]simplify: iters left: 5 (37 enodes) 1554299863.181 * * [misc]simplify: iters left: 4 (51 enodes) 1554299863.197 * * [misc]simplify: iters left: 3 (66 enodes) 1554299863.220 * * [misc]simplify: iters left: 2 (91 enodes) 1554299863.247 * * [misc]simplify: iters left: 1 (95 enodes) 1554299863.273 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.273 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299863.273 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299863.273 * * [misc]simplify: Extracting #3: cost 20 inf + 44 1554299863.273 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1554299863.274 * * [misc]simplify: Extracting #5: cost 8 inf + 1621 1554299863.275 * * [misc]simplify: Extracting #6: cost 0 inf + 3236 1554299863.277 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299863.277 * [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))))))) 1554299863.277 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299863.277 * * [misc]simplify: iters left: 6 (15 enodes) 1554299863.283 * * [misc]simplify: iters left: 5 (51 enodes) 1554299863.291 * * [misc]simplify: iters left: 4 (59 enodes) 1554299863.300 * * [misc]simplify: iters left: 3 (63 enodes) 1554299863.309 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.309 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299863.309 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299863.309 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299863.309 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554299863.309 * * [misc]simplify: Extracting #5: cost 9 inf + 2854 1554299863.310 * * [misc]simplify: Extracting #6: cost 1 inf + 6252 1554299863.311 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554299863.311 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299863.311 * [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))))))) 1554299863.311 * * * * [misc]progress: [ 193 / 253 ] simplifiying candidate # 1554299863.312 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI 1/2))) 1554299863.312 * * [misc]simplify: iters left: 6 (10 enodes) 1554299863.314 * * [misc]simplify: iters left: 5 (37 enodes) 1554299863.320 * * [misc]simplify: iters left: 4 (51 enodes) 1554299863.330 * * [misc]simplify: iters left: 3 (66 enodes) 1554299863.342 * * [misc]simplify: iters left: 2 (91 enodes) 1554299863.360 * * [misc]simplify: iters left: 1 (95 enodes) 1554299863.386 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.386 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299863.386 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299863.386 * * [misc]simplify: Extracting #3: cost 20 inf + 44 1554299863.386 * * [misc]simplify: Extracting #4: cost 18 inf + 86 1554299863.387 * * [misc]simplify: Extracting #5: cost 8 inf + 1621 1554299863.388 * * [misc]simplify: Extracting #6: cost 0 inf + 3236 1554299863.389 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299863.389 * [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))))))) 1554299863.390 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299863.390 * * [misc]simplify: iters left: 6 (15 enodes) 1554299863.398 * * [misc]simplify: iters left: 5 (51 enodes) 1554299863.412 * * [misc]simplify: iters left: 4 (59 enodes) 1554299863.421 * * [misc]simplify: iters left: 3 (63 enodes) 1554299863.430 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.430 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299863.430 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299863.430 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299863.430 * * [misc]simplify: Extracting #4: cost 23 inf + 209 1554299863.430 * * [misc]simplify: Extracting #5: cost 9 inf + 2854 1554299863.431 * * [misc]simplify: Extracting #6: cost 1 inf + 6252 1554299863.432 * * [misc]simplify: Extracting #7: cost 0 inf + 6877 1554299863.434 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299863.434 * [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))))))) 1554299863.434 * * * * [misc]progress: [ 194 / 253 ] simplifiying candidate # 1554299863.434 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554299863.434 * * [misc]simplify: iters left: 6 (15 enodes) 1554299863.438 * * [misc]simplify: iters left: 5 (57 enodes) 1554299863.448 * * [misc]simplify: iters left: 4 (93 enodes) 1554299863.472 * * [misc]simplify: iters left: 3 (130 enodes) 1554299863.499 * * [misc]simplify: iters left: 2 (190 enodes) 1554299863.556 * * [misc]simplify: iters left: 1 (216 enodes) 1554299863.610 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.610 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299863.610 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554299863.610 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554299863.611 * * [misc]simplify: Extracting #4: cost 37 inf + 3 1554299863.611 * * [misc]simplify: Extracting #5: cost 35 inf + 609 1554299863.612 * * [misc]simplify: Extracting #6: cost 27 inf + 1425 1554299863.614 * * [misc]simplify: Extracting #7: cost 11 inf + 6989 1554299863.618 * * [misc]simplify: Extracting #8: cost 0 inf + 13063 1554299863.623 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1554299863.623 * [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)))))))) 1554299863.624 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299863.624 * * [misc]simplify: iters left: 6 (15 enodes) 1554299863.631 * * [misc]simplify: iters left: 5 (50 enodes) 1554299863.645 * * [misc]simplify: iters left: 4 (60 enodes) 1554299863.665 * * [misc]simplify: iters left: 3 (66 enodes) 1554299863.682 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.682 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299863.682 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299863.682 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299863.683 * * [misc]simplify: Extracting #4: cost 23 inf + 250 1554299863.683 * * [misc]simplify: Extracting #5: cost 7 inf + 4312 1554299863.685 * * [misc]simplify: Extracting #6: cost 0 inf + 7949 1554299863.686 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299863.686 * [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))))))) 1554299863.687 * * * * [misc]progress: [ 195 / 253 ] simplifiying candidate # 1554299863.687 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299863.687 * * [misc]simplify: iters left: 6 (14 enodes) 1554299863.694 * * [misc]simplify: iters left: 5 (50 enodes) 1554299863.710 * * [misc]simplify: iters left: 4 (69 enodes) 1554299863.731 * * [misc]simplify: iters left: 3 (86 enodes) 1554299863.758 * * [misc]simplify: iters left: 2 (111 enodes) 1554299863.790 * * [misc]simplify: iters left: 1 (115 enodes) 1554299863.823 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.823 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299863.823 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299863.823 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299863.824 * * [misc]simplify: Extracting #4: cost 27 inf + 3 1554299863.824 * * [misc]simplify: Extracting #5: cost 23 inf + 893 1554299863.825 * * [misc]simplify: Extracting #6: cost 16 inf + 1587 1554299863.826 * * [misc]simplify: Extracting #7: cost 5 inf + 4893 1554299863.828 * * [misc]simplify: Extracting #8: cost 0 inf + 7243 1554299863.831 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299863.831 * [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)))))))) 1554299863.831 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299863.832 * * [misc]simplify: iters left: 6 (15 enodes) 1554299863.838 * * [misc]simplify: iters left: 5 (50 enodes) 1554299863.853 * * [misc]simplify: iters left: 4 (60 enodes) 1554299863.865 * * [misc]simplify: iters left: 3 (66 enodes) 1554299863.874 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.874 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299863.874 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299863.875 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299863.875 * * [misc]simplify: Extracting #4: cost 23 inf + 250 1554299863.875 * * [misc]simplify: Extracting #5: cost 7 inf + 4192 1554299863.876 * * [misc]simplify: Extracting #6: cost 0 inf + 7629 1554299863.877 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299863.877 * [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))))))) 1554299863.877 * * * * [misc]progress: [ 196 / 253 ] simplifiying candidate # 1554299863.877 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299863.877 * * [misc]simplify: iters left: 6 (7 enodes) 1554299863.879 * * [misc]simplify: iters left: 5 (25 enodes) 1554299863.884 * * [misc]simplify: iters left: 4 (38 enodes) 1554299863.890 * * [misc]simplify: iters left: 3 (41 enodes) 1554299863.895 * * [misc]simplify: iters left: 2 (42 enodes) 1554299863.900 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.900 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299863.900 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299863.900 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299863.900 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1554299863.900 * * [misc]simplify: Extracting #5: cost 2 inf + 1093 1554299863.901 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554299863.901 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299863.901 * [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))))))) 1554299863.901 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299863.901 * * [misc]simplify: iters left: 6 (14 enodes) 1554299863.905 * * [misc]simplify: iters left: 5 (47 enodes) 1554299863.912 * * [misc]simplify: iters left: 4 (57 enodes) 1554299863.926 * * [misc]simplify: iters left: 3 (63 enodes) 1554299863.934 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.934 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299863.935 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299863.935 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299863.935 * * [misc]simplify: Extracting #4: cost 21 inf + 250 1554299863.935 * * [misc]simplify: Extracting #5: cost 9 inf + 3067 1554299863.936 * * [misc]simplify: Extracting #6: cost 0 inf + 6721 1554299863.936 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299863.936 * [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))))))) 1554299863.937 * * * * [misc]progress: [ 197 / 253 ] simplifiying candidate # 1554299863.937 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299863.937 * * [misc]simplify: iters left: 6 (9 enodes) 1554299863.939 * * [misc]simplify: iters left: 5 (32 enodes) 1554299863.944 * * [misc]simplify: iters left: 4 (39 enodes) 1554299863.950 * * [misc]simplify: iters left: 3 (41 enodes) 1554299863.956 * * [misc]simplify: iters left: 2 (53 enodes) 1554299863.963 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299863.963 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299863.963 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299863.963 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554299863.964 * * [misc]simplify: Extracting #4: cost 10 inf + 86 1554299863.964 * * [misc]simplify: Extracting #5: cost 5 inf + 573 1554299863.964 * * [misc]simplify: Extracting #6: cost 1 inf + 1100 1554299863.964 * * [misc]simplify: Extracting #7: cost 0 inf + 1222 1554299863.964 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1554299863.964 * [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))))))) 1554299863.965 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299863.965 * * [misc]simplify: iters left: 6 (15 enodes) 1554299863.972 * * [misc]simplify: iters left: 5 (51 enodes) 1554299863.986 * * [misc]simplify: iters left: 4 (59 enodes) 1554299863.996 * * [misc]simplify: iters left: 3 (63 enodes) 1554299864.004 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.004 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.004 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299864.004 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299864.004 * * [misc]simplify: Extracting #4: cost 23 inf + 169 1554299864.004 * * [misc]simplify: Extracting #5: cost 9 inf + 2654 1554299864.005 * * [misc]simplify: Extracting #6: cost 1 inf + 5932 1554299864.006 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554299864.006 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299864.006 * [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))))))) 1554299864.006 * * * * [misc]progress: [ 198 / 253 ] simplifiying candidate # 1554299864.007 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI 1/2))) 1554299864.007 * * [misc]simplify: iters left: 6 (9 enodes) 1554299864.010 * * [misc]simplify: iters left: 5 (32 enodes) 1554299864.015 * * [misc]simplify: iters left: 4 (39 enodes) 1554299864.025 * * [misc]simplify: iters left: 3 (41 enodes) 1554299864.035 * * [misc]simplify: iters left: 2 (53 enodes) 1554299864.043 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.043 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299864.043 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299864.043 * * [misc]simplify: Extracting #3: cost 11 inf + 85 1554299864.043 * * [misc]simplify: Extracting #4: cost 10 inf + 86 1554299864.043 * * [misc]simplify: Extracting #5: cost 5 inf + 573 1554299864.043 * * [misc]simplify: Extracting #6: cost 1 inf + 1100 1554299864.043 * * [misc]simplify: Extracting #7: cost 0 inf + 1222 1554299864.044 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1554299864.044 * [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))))))) 1554299864.044 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299864.044 * * [misc]simplify: iters left: 6 (15 enodes) 1554299864.048 * * [misc]simplify: iters left: 5 (51 enodes) 1554299864.056 * * [misc]simplify: iters left: 4 (59 enodes) 1554299864.072 * * [misc]simplify: iters left: 3 (63 enodes) 1554299864.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.083 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.083 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299864.083 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299864.083 * * [misc]simplify: Extracting #4: cost 23 inf + 169 1554299864.083 * * [misc]simplify: Extracting #5: cost 9 inf + 2654 1554299864.084 * * [misc]simplify: Extracting #6: cost 1 inf + 5932 1554299864.085 * * [misc]simplify: Extracting #7: cost 0 inf + 6557 1554299864.085 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299864.086 * [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))))))) 1554299864.086 * * * * [misc]progress: [ 199 / 253 ] simplifiying candidate # 1554299864.086 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554299864.086 * * [misc]simplify: iters left: 6 (14 enodes) 1554299864.090 * * [misc]simplify: iters left: 5 (50 enodes) 1554299864.097 * * [misc]simplify: iters left: 4 (68 enodes) 1554299864.111 * * [misc]simplify: iters left: 3 (80 enodes) 1554299864.123 * * [misc]simplify: iters left: 2 (95 enodes) 1554299864.136 * * [misc]simplify: iters left: 1 (104 enodes) 1554299864.149 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.150 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299864.150 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1554299864.150 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554299864.150 * * [misc]simplify: Extracting #4: cost 25 inf + 3 1554299864.150 * * [misc]simplify: Extracting #5: cost 25 inf + 167 1554299864.150 * * [misc]simplify: Extracting #6: cost 16 inf + 1118 1554299864.151 * * [misc]simplify: Extracting #7: cost 2 inf + 6317 1554299864.152 * * [misc]simplify: Extracting #8: cost 0 inf + 7265 1554299864.153 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.153 * [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)))))))) 1554299864.153 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.154 * * [misc]simplify: iters left: 6 (15 enodes) 1554299864.157 * * [misc]simplify: iters left: 5 (50 enodes) 1554299864.165 * * [misc]simplify: iters left: 4 (60 enodes) 1554299864.175 * * [misc]simplify: iters left: 3 (66 enodes) 1554299864.185 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.185 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.185 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.185 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299864.185 * * [misc]simplify: Extracting #4: cost 23 inf + 210 1554299864.185 * * [misc]simplify: Extracting #5: cost 7 inf + 4112 1554299864.186 * * [misc]simplify: Extracting #6: cost 0 inf + 7629 1554299864.188 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299864.188 * [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))))))) 1554299864.189 * * * * [misc]progress: [ 200 / 253 ] simplifiying candidate # 1554299864.189 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.189 * * [misc]simplify: iters left: 6 (13 enodes) 1554299864.192 * * [misc]simplify: iters left: 5 (45 enodes) 1554299864.199 * * [misc]simplify: iters left: 4 (57 enodes) 1554299864.213 * * [misc]simplify: iters left: 3 (61 enodes) 1554299864.230 * * [misc]simplify: iters left: 2 (73 enodes) 1554299864.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.240 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299864.240 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299864.240 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299864.240 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1554299864.240 * * [misc]simplify: Extracting #5: cost 18 inf + 289 1554299864.241 * * [misc]simplify: Extracting #6: cost 9 inf + 1200 1554299864.241 * * [misc]simplify: Extracting #7: cost 1 inf + 3607 1554299864.242 * * [misc]simplify: Extracting #8: cost 0 inf + 4061 1554299864.242 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299864.242 * [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)))))))) 1554299864.243 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.243 * * [misc]simplify: iters left: 6 (15 enodes) 1554299864.246 * * [misc]simplify: iters left: 5 (50 enodes) 1554299864.253 * * [misc]simplify: iters left: 4 (60 enodes) 1554299864.261 * * [misc]simplify: iters left: 3 (66 enodes) 1554299864.269 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.269 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.270 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.270 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554299864.270 * * [misc]simplify: Extracting #4: cost 23 inf + 210 1554299864.270 * * [misc]simplify: Extracting #5: cost 7 inf + 3992 1554299864.271 * * [misc]simplify: Extracting #6: cost 0 inf + 7309 1554299864.272 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299864.272 * [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))))))) 1554299864.272 * * * * [misc]progress: [ 201 / 253 ] simplifiying candidate # 1554299864.272 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1554299864.272 * * [misc]simplify: iters left: 6 (6 enodes) 1554299864.274 * * [misc]simplify: iters left: 5 (20 enodes) 1554299864.281 * * [misc]simplify: iters left: 4 (24 enodes) 1554299864.289 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.289 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299864.289 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299864.289 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554299864.289 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1554299864.289 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554299864.289 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554299864.290 * [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))))))) 1554299864.290 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299864.290 * * [misc]simplify: iters left: 6 (14 enodes) 1554299864.297 * * [misc]simplify: iters left: 5 (47 enodes) 1554299864.311 * * [misc]simplify: iters left: 4 (57 enodes) 1554299864.328 * * [misc]simplify: iters left: 3 (63 enodes) 1554299864.345 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.345 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.345 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.345 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299864.345 * * [misc]simplify: Extracting #4: cost 21 inf + 210 1554299864.346 * * [misc]simplify: Extracting #5: cost 9 inf + 2867 1554299864.347 * * [misc]simplify: Extracting #6: cost 0 inf + 6401 1554299864.349 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299864.349 * [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))))))) 1554299864.349 * * * * [misc]progress: [ 202 / 253 ] simplifiying candidate # 1554299864.349 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI 1/2))) 1554299864.349 * * [misc]simplify: iters left: 5 (6 enodes) 1554299864.353 * * [misc]simplify: iters left: 4 (21 enodes) 1554299864.360 * * [misc]simplify: iters left: 3 (24 enodes) 1554299864.367 * * [misc]simplify: iters left: 2 (28 enodes) 1554299864.375 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.376 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299864.376 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1554299864.376 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554299864.376 * [exit]simplify: Simplified to (sqrt PI) 1554299864.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299864.376 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299864.377 * * [misc]simplify: iters left: 6 (14 enodes) 1554299864.383 * * [misc]simplify: iters left: 5 (48 enodes) 1554299864.396 * * [misc]simplify: iters left: 4 (56 enodes) 1554299864.404 * * [misc]simplify: iters left: 3 (60 enodes) 1554299864.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.413 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.413 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299864.413 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554299864.413 * * [misc]simplify: Extracting #4: cost 20 inf + 170 1554299864.413 * * [misc]simplify: Extracting #5: cost 6 inf + 3199 1554299864.414 * * [misc]simplify: Extracting #6: cost 0 inf + 6315 1554299864.415 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554299864.415 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1554299864.415 * * * * [misc]progress: [ 203 / 253 ] simplifiying candidate # 1554299864.415 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI 1/2))) 1554299864.415 * * [misc]simplify: iters left: 5 (6 enodes) 1554299864.418 * * [misc]simplify: iters left: 4 (21 enodes) 1554299864.423 * * [misc]simplify: iters left: 3 (24 enodes) 1554299864.430 * * [misc]simplify: iters left: 2 (28 enodes) 1554299864.438 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.438 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299864.438 * * [misc]simplify: Extracting #2: cost 2 inf + 85 1554299864.438 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554299864.438 * [exit]simplify: Simplified to (sqrt PI) 1554299864.438 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299864.439 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299864.439 * * [misc]simplify: iters left: 6 (14 enodes) 1554299864.446 * * [misc]simplify: iters left: 5 (48 enodes) 1554299864.460 * * [misc]simplify: iters left: 4 (56 enodes) 1554299864.475 * * [misc]simplify: iters left: 3 (60 enodes) 1554299864.491 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.491 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.491 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299864.491 * * [misc]simplify: Extracting #3: cost 23 inf + 84 1554299864.491 * * [misc]simplify: Extracting #4: cost 20 inf + 170 1554299864.492 * * [misc]simplify: Extracting #5: cost 6 inf + 3199 1554299864.493 * * [misc]simplify: Extracting #6: cost 0 inf + 6315 1554299864.495 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1554299864.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (* (pow PI (/ (- k) 2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1554299864.495 * * * * [misc]progress: [ 204 / 253 ] simplifiying candidate # 1554299864.495 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1554299864.495 * * [misc]simplify: iters left: 6 (12 enodes) 1554299864.503 * * [misc]simplify: iters left: 5 (42 enodes) 1554299864.514 * * [misc]simplify: iters left: 4 (54 enodes) 1554299864.532 * * [misc]simplify: iters left: 3 (68 enodes) 1554299864.552 * * [misc]simplify: iters left: 2 (82 enodes) 1554299864.577 * * [misc]simplify: iters left: 1 (84 enodes) 1554299864.586 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.586 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299864.586 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299864.586 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554299864.586 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299864.586 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554299864.586 * * [misc]simplify: Extracting #6: cost 16 inf + 89 1554299864.587 * * [misc]simplify: Extracting #7: cost 10 inf + 966 1554299864.587 * * [misc]simplify: Extracting #8: cost 4 inf + 2707 1554299864.587 * * [misc]simplify: Extracting #9: cost 1 inf + 3950 1554299864.588 * * [misc]simplify: Extracting #10: cost 0 inf + 4405 1554299864.589 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299864.589 * [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)))))))) 1554299864.589 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.589 * * [misc]simplify: iters left: 6 (14 enodes) 1554299864.593 * * [misc]simplify: iters left: 5 (47 enodes) 1554299864.599 * * [misc]simplify: iters left: 4 (57 enodes) 1554299864.614 * * [misc]simplify: iters left: 3 (63 enodes) 1554299864.624 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.624 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.624 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.624 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299864.624 * * [misc]simplify: Extracting #4: cost 22 inf + 129 1554299864.624 * * [misc]simplify: Extracting #5: cost 9 inf + 3493 1554299864.625 * * [misc]simplify: Extracting #6: cost 0 inf + 7227 1554299864.626 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.626 * [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)))))))) 1554299864.626 * * * * [misc]progress: [ 205 / 253 ] simplifiying candidate # 1554299864.626 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.626 * * [misc]simplify: iters left: 6 (11 enodes) 1554299864.630 * * [misc]simplify: iters left: 5 (37 enodes) 1554299864.636 * * [misc]simplify: iters left: 4 (45 enodes) 1554299864.643 * * [misc]simplify: iters left: 3 (51 enodes) 1554299864.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.657 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299864.657 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299864.657 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299864.657 * * [misc]simplify: Extracting #4: cost 15 inf + 3 1554299864.657 * * [misc]simplify: Extracting #5: cost 11 inf + 170 1554299864.658 * * [misc]simplify: Extracting #6: cost 5 inf + 795 1554299864.658 * * [misc]simplify: Extracting #7: cost 1 inf + 2132 1554299864.659 * * [misc]simplify: Extracting #8: cost 0 inf + 2507 1554299864.659 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1554299864.659 * [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)))))))) 1554299864.660 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.660 * * [misc]simplify: iters left: 6 (14 enodes) 1554299864.668 * * [misc]simplify: iters left: 5 (47 enodes) 1554299864.683 * * [misc]simplify: iters left: 4 (57 enodes) 1554299864.697 * * [misc]simplify: iters left: 3 (63 enodes) 1554299864.705 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.706 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.706 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.706 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299864.706 * * [misc]simplify: Extracting #4: cost 22 inf + 129 1554299864.706 * * [misc]simplify: Extracting #5: cost 9 inf + 3333 1554299864.707 * * [misc]simplify: Extracting #6: cost 0 inf + 6907 1554299864.707 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1554299864.708 * [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)))))))) 1554299864.708 * * * * [misc]progress: [ 206 / 253 ] simplifiying candidate # 1554299864.708 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1554299864.708 * * [misc]simplify: iters left: 4 (3 enodes) 1554299864.709 * * [misc]simplify: iters left: 3 (7 enodes) 1554299864.710 * * [misc]simplify: iters left: 2 (9 enodes) 1554299864.711 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.711 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554299864.711 * [exit]simplify: Simplified to 1 1554299864.711 * [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))))))) 1554299864.712 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.712 * * [misc]simplify: iters left: 6 (13 enodes) 1554299864.715 * * [misc]simplify: iters left: 5 (44 enodes) 1554299864.721 * * [misc]simplify: iters left: 4 (54 enodes) 1554299864.729 * * [misc]simplify: iters left: 3 (60 enodes) 1554299864.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.741 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.741 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.741 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299864.742 * * [misc]simplify: Extracting #4: cost 20 inf + 129 1554299864.742 * * [misc]simplify: Extracting #5: cost 5 inf + 4212 1554299864.744 * * [misc]simplify: Extracting #6: cost 0 inf + 5999 1554299864.745 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.745 * [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))))))) 1554299864.746 * * * * [misc]progress: [ 207 / 253 ] simplifiying candidate # 1554299864.746 * [enter]simplify: Simplifying (/ 1 1) 1554299864.746 * * [misc]simplify: iters left: 2 (2 enodes) 1554299864.748 * * [misc]simplify: iters left: 1 (6 enodes) 1554299864.750 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.750 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554299864.750 * [exit]simplify: Simplified to 1 1554299864.750 * [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))))))) 1554299864.751 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.751 * * [misc]simplify: iters left: 6 (13 enodes) 1554299864.757 * * [misc]simplify: iters left: 5 (44 enodes) 1554299864.770 * * [misc]simplify: iters left: 4 (54 enodes) 1554299864.786 * * [misc]simplify: iters left: 3 (60 enodes) 1554299864.802 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.802 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299864.802 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299864.802 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299864.804 * * [misc]simplify: Extracting #4: cost 20 inf + 129 1554299864.805 * * [misc]simplify: Extracting #5: cost 5 inf + 4212 1554299864.806 * * [misc]simplify: Extracting #6: cost 0 inf + 5999 1554299864.808 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.808 * [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))))))) 1554299864.808 * * * * [misc]progress: [ 208 / 253 ] simplifiying candidate # 1554299864.808 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1554299864.808 * * [misc]simplify: iters left: 3 (4 enodes) 1554299864.811 * * [misc]simplify: iters left: 2 (14 enodes) 1554299864.815 * * [misc]simplify: iters left: 1 (16 enodes) 1554299864.820 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.820 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299864.820 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299864.820 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1554299864.820 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1554299864.820 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1554299864.821 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554299864.821 * [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))))))) 1554299864.821 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI (- 1/2 (/ k 2))))) 1554299864.821 * * [misc]simplify: iters left: 6 (13 enodes) 1554299864.827 * * [misc]simplify: iters left: 5 (46 enodes) 1554299864.834 * * [misc]simplify: iters left: 4 (54 enodes) 1554299864.842 * * [misc]simplify: iters left: 3 (63 enodes) 1554299864.851 * * [misc]simplify: iters left: 2 (64 enodes) 1554299864.860 * * [misc]simplify: iters left: 1 (66 enodes) 1554299864.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.873 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299864.873 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299864.873 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299864.873 * * [misc]simplify: Extracting #4: cost 20 inf + 5 1554299864.874 * * [misc]simplify: Extracting #5: cost 15 inf + 255 1554299864.874 * * [misc]simplify: Extracting #6: cost 3 inf + 3388 1554299864.876 * * [misc]simplify: Extracting #7: cost 0 inf + 4432 1554299864.877 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1554299864.877 * [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)))))) 1554299864.877 * * * * [misc]progress: [ 209 / 253 ] simplifiying candidate # 1554299864.877 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow PI 1/2))) 1554299864.877 * * [misc]simplify: iters left: 5 (8 enodes) 1554299864.882 * * [misc]simplify: iters left: 4 (29 enodes) 1554299864.892 * * [misc]simplify: iters left: 3 (36 enodes) 1554299864.898 * * [misc]simplify: iters left: 2 (38 enodes) 1554299864.904 * * [misc]simplify: iters left: 1 (50 enodes) 1554299864.912 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.912 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299864.912 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299864.912 * * [misc]simplify: Extracting #3: cost 9 inf + 45 1554299864.913 * * [misc]simplify: Extracting #4: cost 2 inf + 616 1554299864.913 * * [misc]simplify: Extracting #5: cost 0 inf + 820 1554299864.913 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1554299864.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))))) 1554299864.913 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554299864.913 * * [misc]simplify: iters left: 6 (11 enodes) 1554299864.916 * * [misc]simplify: iters left: 5 (36 enodes) 1554299864.922 * * [misc]simplify: iters left: 4 (41 enodes) 1554299864.929 * * [misc]simplify: iters left: 3 (43 enodes) 1554299864.941 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.941 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299864.941 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299864.941 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299864.942 * * [misc]simplify: Extracting #4: cost 12 inf + 382 1554299864.942 * * [misc]simplify: Extracting #5: cost 4 inf + 1384 1554299864.943 * * [misc]simplify: Extracting #6: cost 0 inf + 2929 1554299864.943 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))) 1554299864.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2))))) 1554299864.943 * * * * [misc]progress: [ 210 / 253 ] simplifiying candidate # 1554299864.944 * * * * [misc]progress: [ 211 / 253 ] simplifiying candidate # 1554299864.944 * * * * [misc]progress: [ 212 / 253 ] simplifiying candidate # 1554299864.944 * * * * [misc]progress: [ 213 / 253 ] simplifiying candidate # 1554299864.944 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.944 * * [misc]simplify: iters left: 6 (10 enodes) 1554299864.949 * * [misc]simplify: iters left: 5 (32 enodes) 1554299864.959 * * [misc]simplify: iters left: 4 (37 enodes) 1554299864.971 * * [misc]simplify: iters left: 3 (39 enodes) 1554299864.983 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299864.983 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299864.983 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299864.983 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554299864.983 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554299864.983 * * [misc]simplify: Extracting #5: cost 15 inf + 44 1554299864.983 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554299864.984 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554299864.984 * * [misc]simplify: Extracting #8: cost 0 inf + 2826 1554299864.985 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.985 * [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))))))) 1554299864.985 * * * * [misc]progress: [ 214 / 253 ] simplifiying candidate # 1554299864.985 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299864.985 * * [misc]simplify: iters left: 6 (10 enodes) 1554299864.990 * * [misc]simplify: iters left: 5 (32 enodes) 1554299865.000 * * [misc]simplify: iters left: 4 (37 enodes) 1554299865.011 * * [misc]simplify: iters left: 3 (39 enodes) 1554299865.021 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.022 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299865.022 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299865.022 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554299865.022 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554299865.022 * * [misc]simplify: Extracting #5: cost 15 inf + 44 1554299865.022 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554299865.022 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554299865.023 * * [misc]simplify: Extracting #8: cost 0 inf + 2746 1554299865.024 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1554299865.024 * [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))))))) 1554299865.024 * * * * [misc]progress: [ 215 / 253 ] simplifiying candidate # 1554299865.024 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299865.024 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.028 * * [misc]simplify: iters left: 5 (29 enodes) 1554299865.037 * * [misc]simplify: iters left: 4 (31 enodes) 1554299865.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.046 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.046 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.046 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299865.046 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299865.046 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299865.046 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554299865.047 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554299865.047 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299865.047 * [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))))) 1554299865.047 * * * * [misc]progress: [ 216 / 253 ] simplifiying candidate # 1554299865.048 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299865.048 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.052 * * [misc]simplify: iters left: 5 (29 enodes) 1554299865.062 * * [misc]simplify: iters left: 4 (31 enodes) 1554299865.068 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.068 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.068 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.068 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299865.068 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299865.068 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299865.068 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554299865.068 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554299865.069 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299865.069 * [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))))) 1554299865.069 * * * * [misc]progress: [ 217 / 253 ] simplifiying candidate # 1554299865.069 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299865.069 * * [misc]simplify: iters left: 6 (11 enodes) 1554299865.072 * * [misc]simplify: iters left: 5 (35 enodes) 1554299865.077 * * [misc]simplify: iters left: 4 (40 enodes) 1554299865.083 * * [misc]simplify: iters left: 3 (42 enodes) 1554299865.089 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.089 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.089 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299865.089 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299865.089 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299865.089 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299865.089 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554299865.089 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554299865.090 * * [misc]simplify: Extracting #8: cost 3 inf + 1786 1554299865.090 * * [misc]simplify: Extracting #9: cost 0 inf + 3228 1554299865.090 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299865.090 * [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))))))) 1554299865.090 * * * * [misc]progress: [ 218 / 253 ] simplifiying candidate # 1554299865.091 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299865.091 * * [misc]simplify: iters left: 6 (11 enodes) 1554299865.094 * * [misc]simplify: iters left: 5 (35 enodes) 1554299865.099 * * [misc]simplify: iters left: 4 (40 enodes) 1554299865.105 * * [misc]simplify: iters left: 3 (42 enodes) 1554299865.111 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.111 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.111 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299865.111 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299865.111 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299865.111 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299865.111 * * [misc]simplify: Extracting #6: cost 12 inf + 451 1554299865.111 * * [misc]simplify: Extracting #7: cost 7 inf + 741 1554299865.111 * * [misc]simplify: Extracting #8: cost 3 inf + 1746 1554299865.112 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554299865.112 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299865.112 * [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))))))) 1554299865.112 * * * * [misc]progress: [ 219 / 253 ] simplifiying candidate # 1554299865.112 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299865.113 * * [misc]simplify: iters left: 6 (10 enodes) 1554299865.115 * * [misc]simplify: iters left: 5 (32 enodes) 1554299865.120 * * [misc]simplify: iters left: 4 (37 enodes) 1554299865.125 * * [misc]simplify: iters left: 3 (39 enodes) 1554299865.131 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.131 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.131 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.131 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299865.131 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299865.131 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299865.131 * * [misc]simplify: Extracting #6: cost 5 inf + 742 1554299865.132 * * [misc]simplify: Extracting #7: cost 0 inf + 2320 1554299865.132 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299865.132 * [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)))))) 1554299865.132 * * * * [misc]progress: [ 220 / 253 ] simplifiying candidate # 1554299865.132 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299865.132 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.134 * * [misc]simplify: iters left: 5 (29 enodes) 1554299865.139 * * [misc]simplify: iters left: 4 (31 enodes) 1554299865.144 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.144 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.144 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.145 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299865.145 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299865.145 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299865.145 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554299865.145 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554299865.145 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299865.145 * [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))))) 1554299865.145 * * * * [misc]progress: [ 221 / 253 ] simplifiying candidate # 1554299865.146 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554299865.146 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.148 * * [misc]simplify: iters left: 5 (29 enodes) 1554299865.155 * * [misc]simplify: iters left: 4 (31 enodes) 1554299865.163 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.163 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.163 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.163 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299865.163 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299865.164 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554299865.164 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554299865.164 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554299865.165 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554299865.165 * [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))))) 1554299865.165 * * * * [misc]progress: [ 222 / 253 ] simplifiying candidate # 1554299865.165 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299865.165 * * [misc]simplify: iters left: 6 (11 enodes) 1554299865.171 * * [misc]simplify: iters left: 5 (35 enodes) 1554299865.177 * * [misc]simplify: iters left: 4 (40 enodes) 1554299865.183 * * [misc]simplify: iters left: 3 (42 enodes) 1554299865.189 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.189 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.189 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299865.189 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299865.189 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299865.189 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299865.189 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554299865.189 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554299865.190 * * [misc]simplify: Extracting #8: cost 3 inf + 1706 1554299865.190 * * [misc]simplify: Extracting #9: cost 0 inf + 3068 1554299865.190 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299865.190 * [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))))))) 1554299865.190 * * * * [misc]progress: [ 223 / 253 ] simplifiying candidate # 1554299865.191 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299865.191 * * [misc]simplify: iters left: 6 (11 enodes) 1554299865.194 * * [misc]simplify: iters left: 5 (35 enodes) 1554299865.199 * * [misc]simplify: iters left: 4 (40 enodes) 1554299865.205 * * [misc]simplify: iters left: 3 (42 enodes) 1554299865.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.212 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.212 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299865.212 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299865.212 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554299865.213 * * [misc]simplify: Extracting #5: cost 16 inf + 85 1554299865.213 * * [misc]simplify: Extracting #6: cost 12 inf + 371 1554299865.213 * * [misc]simplify: Extracting #7: cost 7 inf + 661 1554299865.213 * * [misc]simplify: Extracting #8: cost 3 inf + 1666 1554299865.214 * * [misc]simplify: Extracting #9: cost 0 inf + 2908 1554299865.214 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299865.214 * [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))))))) 1554299865.214 * * * * [misc]progress: [ 224 / 253 ] simplifiying candidate # 1554299865.214 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299865.214 * * [misc]simplify: iters left: 6 (10 enodes) 1554299865.217 * * [misc]simplify: iters left: 5 (32 enodes) 1554299865.228 * * [misc]simplify: iters left: 4 (37 enodes) 1554299865.240 * * [misc]simplify: iters left: 3 (39 enodes) 1554299865.250 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.250 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.251 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.251 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299865.251 * * [misc]simplify: Extracting #4: cost 16 inf + 3 1554299865.251 * * [misc]simplify: Extracting #5: cost 14 inf + 86 1554299865.251 * * [misc]simplify: Extracting #6: cost 5 inf + 662 1554299865.252 * * [misc]simplify: Extracting #7: cost 0 inf + 2160 1554299865.252 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1554299865.252 * [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)))))) 1554299865.252 * * * * [misc]progress: [ 225 / 253 ] simplifiying candidate # 1554299865.253 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554299865.253 * * [misc]simplify: iters left: 6 (8 enodes) 1554299865.257 * * [misc]simplify: iters left: 5 (26 enodes) 1554299865.268 * * [misc]simplify: iters left: 4 (28 enodes) 1554299865.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.276 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.276 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.276 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299865.276 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554299865.276 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554299865.276 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554299865.277 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554299865.277 * [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))))) 1554299865.277 * * * * [misc]progress: [ 226 / 253 ] simplifiying candidate # 1554299865.277 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554299865.277 * * [misc]simplify: iters left: 6 (8 enodes) 1554299865.279 * * [misc]simplify: iters left: 5 (26 enodes) 1554299865.283 * * [misc]simplify: iters left: 4 (28 enodes) 1554299865.287 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.287 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.287 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.287 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299865.287 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554299865.287 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554299865.287 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554299865.287 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554299865.287 * [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))))) 1554299865.288 * * * * [misc]progress: [ 227 / 253 ] simplifiying candidate # 1554299865.288 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299865.288 * * [misc]simplify: iters left: 6 (10 enodes) 1554299865.290 * * [misc]simplify: iters left: 5 (32 enodes) 1554299865.295 * * [misc]simplify: iters left: 4 (37 enodes) 1554299865.301 * * [misc]simplify: iters left: 3 (39 enodes) 1554299865.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.306 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.306 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299865.306 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299865.306 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554299865.306 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554299865.306 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554299865.306 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554299865.307 * * [misc]simplify: Extracting #8: cost 0 inf + 2826 1554299865.307 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))) 1554299865.307 * [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))))))) 1554299865.307 * * * * [misc]progress: [ 228 / 253 ] simplifiying candidate # 1554299865.307 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299865.307 * * [misc]simplify: iters left: 6 (10 enodes) 1554299865.311 * * [misc]simplify: iters left: 5 (32 enodes) 1554299865.321 * * [misc]simplify: iters left: 4 (37 enodes) 1554299865.332 * * [misc]simplify: iters left: 3 (39 enodes) 1554299865.343 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.343 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.343 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299865.343 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299865.343 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554299865.343 * * [misc]simplify: Extracting #5: cost 14 inf + 85 1554299865.343 * * [misc]simplify: Extracting #6: cost 11 inf + 251 1554299865.344 * * [misc]simplify: Extracting #7: cost 4 inf + 1170 1554299865.344 * * [misc]simplify: Extracting #8: cost 0 inf + 2666 1554299865.345 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))) 1554299865.345 * [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))))))) 1554299865.345 * * * * [misc]progress: [ 229 / 253 ] simplifiying candidate # 1554299865.345 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299865.345 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.350 * * [misc]simplify: iters left: 5 (29 enodes) 1554299865.359 * * [misc]simplify: iters left: 4 (34 enodes) 1554299865.368 * * [misc]simplify: iters left: 3 (36 enodes) 1554299865.379 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.379 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.379 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.379 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299865.379 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299865.379 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554299865.379 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554299865.380 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554299865.380 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299865.381 * [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)))))) 1554299865.381 * * * * [misc]progress: [ 230 / 253 ] simplifiying candidate # 1554299865.381 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299865.381 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.387 * * [misc]simplify: iters left: 5 (29 enodes) 1554299865.396 * * [misc]simplify: iters left: 4 (34 enodes) 1554299865.406 * * [misc]simplify: iters left: 3 (36 enodes) 1554299865.417 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.417 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.417 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299865.417 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299865.417 * * [misc]simplify: Extracting #4: cost 12 inf + 85 1554299865.417 * * [misc]simplify: Extracting #5: cost 9 inf + 251 1554299865.418 * * [misc]simplify: Extracting #6: cost 4 inf + 793 1554299865.418 * * [misc]simplify: Extracting #7: cost 0 inf + 1918 1554299865.419 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) 1554299865.419 * [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)))))) 1554299865.419 * * * * [misc]progress: [ 231 / 253 ] simplifiying candidate # 1554299865.420 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554299865.420 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.426 * * [misc]simplify: iters left: 5 (31 enodes) 1554299865.431 * * [misc]simplify: iters left: 4 (38 enodes) 1554299865.437 * * [misc]simplify: iters left: 3 (40 enodes) 1554299865.442 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.443 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.443 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299865.443 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554299865.443 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554299865.443 * * [misc]simplify: Extracting #5: cost 10 inf + 129 1554299865.443 * * [misc]simplify: Extracting #6: cost 4 inf + 754 1554299865.443 * * [misc]simplify: Extracting #7: cost 0 inf + 1759 1554299865.443 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1554299865.443 * [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)))))) 1554299865.443 * * * * [misc]progress: [ 232 / 253 ] simplifiying candidate # 1554299865.444 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554299865.444 * * [misc]simplify: iters left: 3 (5 enodes) 1554299865.445 * * [misc]simplify: iters left: 2 (15 enodes) 1554299865.447 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.447 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.447 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299865.447 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554299865.447 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554299865.447 * [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)))) 1554299865.447 * * * * [misc]progress: [ 233 / 253 ] simplifiying candidate # 1554299865.448 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554299865.448 * * [misc]simplify: iters left: 3 (5 enodes) 1554299865.449 * * [misc]simplify: iters left: 2 (17 enodes) 1554299865.452 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.452 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.452 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299865.452 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554299865.452 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554299865.452 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299865.452 * [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)))))) 1554299865.452 * * * * [misc]progress: [ 234 / 253 ] simplifiying candidate # 1554299865.452 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554299865.452 * * [misc]simplify: iters left: 3 (5 enodes) 1554299865.455 * * [misc]simplify: iters left: 2 (17 enodes) 1554299865.460 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.460 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.461 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299865.461 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554299865.461 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554299865.461 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299865.461 * [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)))))) 1554299865.461 * * * * [misc]progress: [ 235 / 253 ] simplifiying candidate # 1554299865.461 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554299865.462 * * [misc]simplify: iters left: 5 (7 enodes) 1554299865.466 * * [misc]simplify: iters left: 4 (23 enodes) 1554299865.472 * * [misc]simplify: iters left: 3 (28 enodes) 1554299865.481 * * [misc]simplify: iters left: 2 (30 enodes) 1554299865.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.490 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.490 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299865.490 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299865.490 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554299865.490 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554299865.490 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554299865.491 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554299865.491 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299865.491 * [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)))))) 1554299865.491 * * * * [misc]progress: [ 236 / 253 ] simplifiying candidate # 1554299865.492 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299865.492 * * [misc]simplify: iters left: 6 (10 enodes) 1554299865.497 * * [misc]simplify: iters left: 5 (33 enodes) 1554299865.507 * * [misc]simplify: iters left: 4 (38 enodes) 1554299865.518 * * [misc]simplify: iters left: 3 (40 enodes) 1554299865.531 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.531 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299865.531 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554299865.531 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554299865.531 * * [misc]simplify: Extracting #4: cost 15 inf + 0 1554299865.531 * * [misc]simplify: Extracting #5: cost 16 inf + 3 1554299865.531 * * [misc]simplify: Extracting #6: cost 12 inf + 171 1554299865.532 * * [misc]simplify: Extracting #7: cost 4 inf + 1252 1554299865.532 * * [misc]simplify: Extracting #8: cost 0 inf + 2988 1554299865.533 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299865.533 * [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))))))) 1554299865.533 * * * * [misc]progress: [ 237 / 253 ] simplifiying candidate # 1554299865.534 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299865.534 * * [misc]simplify: iters left: 6 (9 enodes) 1554299865.538 * * [misc]simplify: iters left: 5 (30 enodes) 1554299865.547 * * [misc]simplify: iters left: 4 (35 enodes) 1554299865.558 * * [misc]simplify: iters left: 3 (37 enodes) 1554299865.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.568 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299865.568 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554299865.568 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554299865.568 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554299865.568 * * [misc]simplify: Extracting #5: cost 9 inf + 253 1554299865.569 * * [misc]simplify: Extracting #6: cost 4 inf + 835 1554299865.569 * * [misc]simplify: Extracting #7: cost 0 inf + 2000 1554299865.570 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299865.570 * [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))))))) 1554299865.570 * * * * [misc]progress: [ 238 / 253 ] simplifiying candidate # 1554299865.570 * * * * [misc]progress: [ 239 / 253 ] simplifiying candidate # 1554299865.571 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1554299865.571 * * [misc]simplify: iters left: 5 (7 enodes) 1554299865.575 * * [misc]simplify: iters left: 4 (23 enodes) 1554299865.582 * * [misc]simplify: iters left: 3 (28 enodes) 1554299865.590 * * [misc]simplify: iters left: 2 (30 enodes) 1554299865.599 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.599 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.599 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299865.599 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299865.599 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554299865.600 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554299865.600 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554299865.600 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554299865.601 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1554299865.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1554299865.601 * * * * [misc]progress: [ 240 / 253 ] simplifiying candidate # 1554299865.601 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554299865.601 * * [misc]simplify: iters left: 3 (5 enodes) 1554299865.604 * * [misc]simplify: iters left: 2 (17 enodes) 1554299865.609 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.610 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.610 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299865.610 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554299865.610 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554299865.610 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299865.610 * [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))))) 1554299865.610 * * * * [misc]progress: [ 241 / 253 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))))> 1554299865.610 * * * * [misc]progress: [ 242 / 253 ] simplifiying candidate # 1554299865.611 * [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)))) 1554299865.611 * * [misc]simplify: iters left: 6 (18 enodes) 1554299865.621 * * [misc]simplify: iters left: 5 (73 enodes) 1554299865.647 * * [misc]simplify: iters left: 4 (150 enodes) 1554299865.681 * * [misc]simplify: iters left: 3 (376 enodes) 1554299865.837 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.837 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299865.838 * * [misc]simplify: Extracting #2: cost 116 inf + 0 1554299865.839 * * [misc]simplify: Extracting #3: cost 170 inf + 1013 1554299865.848 * * [misc]simplify: Extracting #4: cost 73 inf + 17952 1554299865.862 * * [misc]simplify: Extracting #5: cost 0 inf + 33943 1554299865.876 * * [misc]simplify: Extracting #6: cost 0 inf + 33104 1554299865.889 * * [misc]simplify: Extracting #7: cost 0 inf + 33023 1554299865.904 * * [misc]simplify: Extracting #8: cost 0 inf + 33022 1554299865.917 * [exit]simplify: Simplified to (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI)) 1554299865.918 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI))))) 1554299865.918 * * * * [misc]progress: [ 243 / 253 ] simplifiying candidate # 1554299865.918 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1554299865.918 * * [misc]simplify: iters left: 5 (6 enodes) 1554299865.922 * * [misc]simplify: iters left: 4 (21 enodes) 1554299865.929 * * [misc]simplify: iters left: 3 (31 enodes) 1554299865.937 * * [misc]simplify: iters left: 2 (38 enodes) 1554299865.946 * * [misc]simplify: iters left: 1 (46 enodes) 1554299865.957 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.957 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.957 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299865.957 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299865.957 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1554299865.957 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1554299865.958 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299865.958 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1554299865.958 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* k 1/2)))))) 1554299865.958 * * * * [misc]progress: [ 244 / 253 ] simplifiying candidate # 1554299865.958 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1554299865.958 * * [misc]simplify: iters left: 5 (6 enodes) 1554299865.960 * * [misc]simplify: iters left: 4 (21 enodes) 1554299865.964 * * [misc]simplify: iters left: 3 (31 enodes) 1554299865.970 * * [misc]simplify: iters left: 2 (38 enodes) 1554299865.975 * * [misc]simplify: iters left: 1 (46 enodes) 1554299865.984 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299865.984 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299865.985 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299865.985 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299865.985 * * [misc]simplify: Extracting #4: cost 7 inf + 294 1554299865.985 * * [misc]simplify: Extracting #5: cost 1 inf + 796 1554299865.986 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299865.986 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1554299865.986 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (* k 1/2)))))) 1554299865.986 * * * * [misc]progress: [ 245 / 253 ] simplifiying candidate # 1554299865.987 * [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))))) 1554299865.987 * * [misc]simplify: iters left: 6 (35 enodes) 1554299866.003 * * [misc]simplify: iters left: 5 (169 enodes) 1554299866.042 * * [misc]simplify: iters left: 4 (409 enodes) 1554299866.205 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299866.205 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1554299866.206 * * [misc]simplify: Extracting #2: cost 261 inf + 0 1554299866.208 * * [misc]simplify: Extracting #3: cost 383 inf + 200 1554299866.217 * * [misc]simplify: Extracting #4: cost 245 inf + 50540 1554299866.260 * * [misc]simplify: Extracting #5: cost 29 inf + 152241 1554299866.309 * * [misc]simplify: Extracting #6: cost 0 inf + 166465 1554299866.366 * * [misc]simplify: Extracting #7: cost 0 inf + 163415 1554299866.409 * * [misc]simplify: Extracting #8: cost 0 inf + 162855 1554299866.469 * [exit]simplify: Simplified to (+ (+ (+ (sqrt (exp (+ (log 2) (log n)))) (* (* (* 1/4 (* k k)) (* (sqrt (exp (+ (log 2) (log n)))) (log n))) (log 2))) (* (* (* k k) 1/8) (+ (* (* (log 2) (log 2)) (sqrt (exp (+ (log 2) (log n))))) (* (* (log n) (log n)) (sqrt (exp (+ (log 2) (log n)))))))) (* -1/2 (* (* (sqrt (exp (+ (log 2) (log n)))) k) (+ (log 2) (log n))))) 1554299866.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (+ (sqrt (exp (+ (log 2) (log n)))) (* (* (* 1/4 (* k k)) (* (sqrt (exp (+ (log 2) (log n)))) (log n))) (log 2))) (* (* (* k k) 1/8) (+ (* (* (log 2) (log 2)) (sqrt (exp (+ (log 2) (log n))))) (* (* (log n) (log n)) (sqrt (exp (+ (log 2) (log n)))))))) (* -1/2 (* (* (sqrt (exp (+ (log 2) (log n)))) k) (+ (log 2) (log n))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299866.470 * * * * [misc]progress: [ 246 / 253 ] simplifiying candidate # 1554299866.470 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1554299866.470 * * [misc]simplify: iters left: 6 (13 enodes) 1554299866.475 * * [misc]simplify: iters left: 5 (53 enodes) 1554299866.484 * * [misc]simplify: iters left: 4 (89 enodes) 1554299866.500 * * [misc]simplify: iters left: 3 (178 enodes) 1554299866.554 * * [misc]simplify: iters left: 2 (477 enodes) 1554299866.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299866.741 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1554299866.742 * * [misc]simplify: Extracting #2: cost 187 inf + 72 1554299866.744 * * [misc]simplify: Extracting #3: cost 251 inf + 2286 1554299866.754 * * [misc]simplify: Extracting #4: cost 100 inf + 39820 1554299866.769 * * [misc]simplify: Extracting #5: cost 12 inf + 61963 1554299866.781 * * [misc]simplify: Extracting #6: cost 0 inf + 65257 1554299866.795 * * [misc]simplify: Extracting #7: cost 0 inf + 65218 1554299866.809 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (pow (sqrt (* n 2)) k)) 1554299866.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (pow (sqrt (* n 2)) k)) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299866.809 * * * * [misc]progress: [ 247 / 253 ] simplifiying candidate # 1554299866.809 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1554299866.809 * * [misc]simplify: iters left: 6 (13 enodes) 1554299866.813 * * [misc]simplify: iters left: 5 (50 enodes) 1554299866.822 * * [misc]simplify: iters left: 4 (92 enodes) 1554299866.844 * * [misc]simplify: iters left: 3 (222 enodes) 1554299866.949 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299866.949 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299866.949 * * [misc]simplify: Extracting #2: cost 101 inf + 0 1554299866.950 * * [misc]simplify: Extracting #3: cost 191 inf + 370 1554299866.952 * * [misc]simplify: Extracting #4: cost 156 inf + 5018 1554299866.960 * * [misc]simplify: Extracting #5: cost 63 inf + 25421 1554299866.975 * * [misc]simplify: Extracting #6: cost 4 inf + 42940 1554299866.982 * * [misc]simplify: Extracting #7: cost 0 inf + 42818 1554299866.990 * * [misc]simplify: Extracting #8: cost 0 inf + 42748 1554299866.998 * [exit]simplify: Simplified to (pow (/ -2 (/ -1 n)) (- 1/2 (* 1/2 k))) 1554299866.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (/ -2 (/ -1 n)) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) 1554299866.998 * * * * [misc]progress: [ 248 / 253 ] simplifiying candidate # 1554299866.998 * [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)))))))))))))) 1554299866.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) +nan.0)) 1554299866.998 * * * * [misc]progress: [ 249 / 253 ] simplifiying candidate # 1554299866.998 * [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))))))))) 1554299866.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) +nan.0)) 1554299866.998 * * * * [misc]progress: [ 250 / 253 ] simplifiying candidate # 1554299866.999 * [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))))))))) 1554299866.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) +nan.0)) 1554299866.999 * * * * [misc]progress: [ 251 / 253 ] simplifiying candidate # 1554299866.999 * [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)))))))))))))))))))))))))))))))) 1554299866.999 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299867.000 * * * * [misc]progress: [ 252 / 253 ] simplifiying candidate # 1554299867.000 * [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)))))))) 1554299867.000 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299867.000 * * * * [misc]progress: [ 253 / 253 ] simplifiying candidate # 1554299867.000 * [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)))))))) 1554299867.000 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554299867.001 * * * [misc]progress: adding candidates to table 1554299870.126 * * [misc]progress: iteration 4 / 4 1554299870.126 * * * [misc]progress: picking best candidate 1554299870.168 * * * * [misc]pick: Picked # 1554299870.168 * * * [misc]progress: localizing error 1554299870.190 * * * [misc]progress: generating rewritten candidates 1554299870.190 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1554299870.190 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1554299870.192 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1554299870.204 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1554299870.257 * * * [misc]progress: generating series expansions 1554299870.257 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1554299870.257 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1554299870.257 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1554299870.257 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1554299870.257 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554299870.257 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554299870.257 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554299870.257 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299870.257 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.258 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.258 * [misc]taylor: Taking taylor expansion of k in k 1554299870.258 * [misc]backup-simplify: Simplify 0 into 0 1554299870.258 * [misc]backup-simplify: Simplify 1 into 1 1554299870.258 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554299870.258 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554299870.258 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.258 * [misc]backup-simplify: Simplify 2 into 2 1554299870.258 * [misc]taylor: Taking taylor expansion of n in k 1554299870.258 * [misc]backup-simplify: Simplify n into n 1554299870.258 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554299870.258 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554299870.259 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.259 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.259 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.259 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554299870.259 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554299870.259 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299870.259 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299870.259 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299870.259 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299870.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.259 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.259 * [misc]taylor: Taking taylor expansion of k in n 1554299870.259 * [misc]backup-simplify: Simplify k into k 1554299870.259 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299870.259 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299870.260 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.260 * [misc]backup-simplify: Simplify 2 into 2 1554299870.260 * [misc]taylor: Taking taylor expansion of n in n 1554299870.260 * [misc]backup-simplify: Simplify 0 into 0 1554299870.260 * [misc]backup-simplify: Simplify 1 into 1 1554299870.260 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299870.260 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299870.260 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.260 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.260 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.261 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299870.261 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.261 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299870.262 * [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)))) 1554299870.262 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.262 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.262 * [misc]taylor: Taking taylor expansion of k in n 1554299870.262 * [misc]backup-simplify: Simplify k into k 1554299870.262 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299870.262 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.262 * [misc]backup-simplify: Simplify 2 into 2 1554299870.262 * [misc]taylor: Taking taylor expansion of n in n 1554299870.262 * [misc]backup-simplify: Simplify 0 into 0 1554299870.262 * [misc]backup-simplify: Simplify 1 into 1 1554299870.262 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299870.262 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299870.263 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.263 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.263 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.263 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299870.263 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.263 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299870.264 * [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)))) 1554299870.264 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.264 * [misc]backup-simplify: Simplify 2 into 2 1554299870.264 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.264 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of n in k 1554299870.264 * [misc]backup-simplify: Simplify n into n 1554299870.264 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.264 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.264 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.264 * [misc]taylor: Taking taylor expansion of k in k 1554299870.264 * [misc]backup-simplify: Simplify 0 into 0 1554299870.265 * [misc]backup-simplify: Simplify 1 into 1 1554299870.265 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554299870.265 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.265 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.265 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.266 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554299870.266 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299870.266 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299870.266 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.269 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.269 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299870.269 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.269 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.270 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.270 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554299870.271 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.271 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.271 * [misc]backup-simplify: Simplify 0 into 0 1554299870.271 * [misc]backup-simplify: Simplify 0 into 0 1554299870.272 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299870.272 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.272 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.274 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.275 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299870.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.276 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554299870.277 * [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))))) 1554299870.277 * [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))))) 1554299870.278 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299870.282 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.282 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299870.282 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.282 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.283 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.283 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554299870.285 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299870.285 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.285 * [misc]backup-simplify: Simplify 0 into 0 1554299870.285 * [misc]backup-simplify: Simplify 0 into 0 1554299870.285 * [misc]backup-simplify: Simplify 0 into 0 1554299870.285 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.285 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.286 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.289 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.291 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299870.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.291 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554299870.293 * [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))))) 1554299870.294 * [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))))) 1554299870.297 * [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))))) 1554299870.297 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299870.297 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1554299870.297 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299870.297 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554299870.297 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554299870.297 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299870.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.297 * [misc]taylor: Taking taylor expansion of k in k 1554299870.297 * [misc]backup-simplify: Simplify 0 into 0 1554299870.297 * [misc]backup-simplify: Simplify 1 into 1 1554299870.298 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.298 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554299870.298 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554299870.298 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.298 * [misc]backup-simplify: Simplify 2 into 2 1554299870.298 * [misc]taylor: Taking taylor expansion of n in k 1554299870.298 * [misc]backup-simplify: Simplify n into n 1554299870.298 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554299870.298 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554299870.298 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.298 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.298 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.298 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554299870.299 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299870.299 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of k in n 1554299870.299 * [misc]backup-simplify: Simplify k into k 1554299870.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.299 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299870.299 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.299 * [misc]backup-simplify: Simplify 2 into 2 1554299870.299 * [misc]taylor: Taking taylor expansion of n in n 1554299870.299 * [misc]backup-simplify: Simplify 0 into 0 1554299870.299 * [misc]backup-simplify: Simplify 1 into 1 1554299870.299 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299870.299 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.300 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.300 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.300 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299870.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.300 * [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))) 1554299870.301 * [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)))) 1554299870.301 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of k in n 1554299870.301 * [misc]backup-simplify: Simplify k into k 1554299870.301 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.301 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299870.301 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.301 * [misc]backup-simplify: Simplify 2 into 2 1554299870.301 * [misc]taylor: Taking taylor expansion of n in n 1554299870.301 * [misc]backup-simplify: Simplify 0 into 0 1554299870.301 * [misc]backup-simplify: Simplify 1 into 1 1554299870.302 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299870.302 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.302 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.302 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.302 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299870.302 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.303 * [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))) 1554299870.303 * [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)))) 1554299870.303 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554299870.303 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554299870.303 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299870.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.303 * [misc]taylor: Taking taylor expansion of k in k 1554299870.303 * [misc]backup-simplify: Simplify 0 into 0 1554299870.303 * [misc]backup-simplify: Simplify 1 into 1 1554299870.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.304 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554299870.304 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299870.304 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.304 * [misc]backup-simplify: Simplify 2 into 2 1554299870.304 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.304 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.304 * [misc]taylor: Taking taylor expansion of n in k 1554299870.304 * [misc]backup-simplify: Simplify n into n 1554299870.304 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.304 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.304 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.305 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.305 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299870.305 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554299870.305 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554299870.305 * [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)))) 1554299870.306 * [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)))) 1554299870.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554299870.309 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.310 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.310 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.310 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554299870.312 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.312 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.312 * [misc]backup-simplify: Simplify 0 into 0 1554299870.312 * [misc]backup-simplify: Simplify 0 into 0 1554299870.312 * [misc]backup-simplify: Simplify 0 into 0 1554299870.312 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.316 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.317 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.317 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.318 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.318 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554299870.320 * [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 1554299870.320 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.320 * [misc]backup-simplify: Simplify 0 into 0 1554299870.320 * [misc]backup-simplify: Simplify 0 into 0 1554299870.320 * [misc]backup-simplify: Simplify 0 into 0 1554299870.320 * [misc]backup-simplify: Simplify 0 into 0 1554299870.321 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.327 * [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 1554299870.328 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.328 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299870.328 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.329 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.330 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554299870.333 * [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 1554299870.333 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.333 * [misc]backup-simplify: Simplify 0 into 0 1554299870.333 * [misc]backup-simplify: Simplify 0 into 0 1554299870.334 * [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)))) 1554299870.334 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299870.334 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1554299870.334 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of k in k 1554299870.334 * [misc]backup-simplify: Simplify 0 into 0 1554299870.334 * [misc]backup-simplify: Simplify 1 into 1 1554299870.334 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.334 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554299870.334 * [misc]taylor: Taking taylor expansion of -2 in k 1554299870.334 * [misc]backup-simplify: Simplify -2 into -2 1554299870.334 * [misc]taylor: Taking taylor expansion of n in k 1554299870.334 * [misc]backup-simplify: Simplify n into n 1554299870.334 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554299870.334 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554299870.334 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.334 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.334 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554299870.335 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299870.335 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of k in n 1554299870.335 * [misc]backup-simplify: Simplify k into k 1554299870.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.335 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299870.335 * [misc]taylor: Taking taylor expansion of -2 in n 1554299870.335 * [misc]backup-simplify: Simplify -2 into -2 1554299870.335 * [misc]taylor: Taking taylor expansion of n in n 1554299870.335 * [misc]backup-simplify: Simplify 0 into 0 1554299870.335 * [misc]backup-simplify: Simplify 1 into 1 1554299870.335 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299870.335 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.335 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.335 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299870.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.336 * [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))) 1554299870.336 * [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)))) 1554299870.336 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.336 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of k in n 1554299870.336 * [misc]backup-simplify: Simplify k into k 1554299870.336 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.336 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.336 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299870.336 * [misc]taylor: Taking taylor expansion of -2 in n 1554299870.336 * [misc]backup-simplify: Simplify -2 into -2 1554299870.336 * [misc]taylor: Taking taylor expansion of n in n 1554299870.336 * [misc]backup-simplify: Simplify 0 into 0 1554299870.336 * [misc]backup-simplify: Simplify 1 into 1 1554299870.336 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299870.336 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.336 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.337 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299870.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.337 * [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))) 1554299870.337 * [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)))) 1554299870.337 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554299870.337 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554299870.337 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299870.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.337 * [misc]taylor: Taking taylor expansion of k in k 1554299870.337 * [misc]backup-simplify: Simplify 0 into 0 1554299870.337 * [misc]backup-simplify: Simplify 1 into 1 1554299870.338 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.338 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.338 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554299870.338 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554299870.338 * [misc]taylor: Taking taylor expansion of -2 in k 1554299870.338 * [misc]backup-simplify: Simplify -2 into -2 1554299870.338 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.338 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.338 * [misc]taylor: Taking taylor expansion of n in k 1554299870.338 * [misc]backup-simplify: Simplify n into n 1554299870.338 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.338 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.338 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.338 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299870.338 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554299870.338 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554299870.339 * [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)))) 1554299870.339 * [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)))) 1554299870.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554299870.341 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554299870.341 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.341 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.341 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554299870.342 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.342 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.342 * [misc]backup-simplify: Simplify 0 into 0 1554299870.342 * [misc]backup-simplify: Simplify 0 into 0 1554299870.342 * [misc]backup-simplify: Simplify 0 into 0 1554299870.342 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.345 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554299870.345 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.345 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.345 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.346 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554299870.347 * [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 1554299870.347 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.347 * [misc]backup-simplify: Simplify 0 into 0 1554299870.347 * [misc]backup-simplify: Simplify 0 into 0 1554299870.347 * [misc]backup-simplify: Simplify 0 into 0 1554299870.347 * [misc]backup-simplify: Simplify 0 into 0 1554299870.347 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.351 * [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 1554299870.351 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.352 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299870.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.352 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.352 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1554299870.354 * [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 1554299870.354 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.354 * [misc]backup-simplify: Simplify 0 into 0 1554299870.354 * [misc]backup-simplify: Simplify 0 into 0 1554299870.355 * [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))))) 1554299870.355 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1554299870.355 * [misc]backup-simplify: Simplify (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) (sqrt (/ PI k))) 1554299870.355 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) (sqrt (/ PI k))) in (n k) around 0 1554299870.355 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) (sqrt (/ PI k))) in k 1554299870.355 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) in k 1554299870.355 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554299870.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554299870.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.356 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.356 * [misc]taylor: Taking taylor expansion of k in k 1554299870.356 * [misc]backup-simplify: Simplify 0 into 0 1554299870.356 * [misc]backup-simplify: Simplify 1 into 1 1554299870.356 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.356 * [misc]backup-simplify: Simplify 2 into 2 1554299870.356 * [misc]taylor: Taking taylor expansion of n in k 1554299870.356 * [misc]backup-simplify: Simplify n into n 1554299870.356 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554299870.356 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554299870.356 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.356 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.356 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.356 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554299870.356 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554299870.356 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.356 * [misc]taylor: Taking taylor expansion of k in k 1554299870.356 * [misc]backup-simplify: Simplify 0 into 0 1554299870.356 * [misc]backup-simplify: Simplify 1 into 1 1554299870.356 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299870.356 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.356 * [misc]backup-simplify: Simplify PI into PI 1554299870.357 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.357 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.357 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.357 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1554299870.357 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.359 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299870.359 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299870.359 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1554299870.360 * [misc]backup-simplify: Simplify (exp 0) into 1 1554299870.360 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1554299870.360 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1554299870.360 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.360 * [misc]backup-simplify: Simplify PI into PI 1554299870.360 * [misc]taylor: Taking taylor expansion of k in k 1554299870.360 * [misc]backup-simplify: Simplify 0 into 0 1554299870.360 * [misc]backup-simplify: Simplify 1 into 1 1554299870.360 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299870.360 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299870.360 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299870.360 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) (sqrt (/ PI k))) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.360 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.361 * [misc]taylor: Taking taylor expansion of k in n 1554299870.361 * [misc]backup-simplify: Simplify k into k 1554299870.361 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299870.361 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299870.361 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.361 * [misc]backup-simplify: Simplify 2 into 2 1554299870.361 * [misc]taylor: Taking taylor expansion of n in n 1554299870.361 * [misc]backup-simplify: Simplify 0 into 0 1554299870.361 * [misc]backup-simplify: Simplify 1 into 1 1554299870.361 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299870.361 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299870.361 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.361 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.361 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.361 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299870.361 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.362 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299870.362 * [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)))) 1554299870.362 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in n 1554299870.362 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in n 1554299870.362 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in n 1554299870.362 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1554299870.362 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.362 * [misc]taylor: Taking taylor expansion of k in n 1554299870.362 * [misc]backup-simplify: Simplify k into k 1554299870.362 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299870.362 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.362 * [misc]backup-simplify: Simplify PI into PI 1554299870.362 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.362 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.362 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.362 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (log PI)) into (* -1/2 (* (log PI) k)) 1554299870.363 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (log PI) k))) into (exp (* -1/2 (* (log PI) k))) 1554299870.363 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (/ PI k) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.363 * [misc]backup-simplify: Simplify PI into PI 1554299870.363 * [misc]taylor: Taking taylor expansion of k in n 1554299870.363 * [misc]backup-simplify: Simplify k into k 1554299870.363 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1554299870.363 * [misc]backup-simplify: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k)) 1554299870.363 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1554299870.363 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0 1554299870.363 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) (sqrt (/ PI k))) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- (* 1/2 k)))) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.363 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.363 * [misc]taylor: Taking taylor expansion of k in n 1554299870.363 * [misc]backup-simplify: Simplify k into k 1554299870.363 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299870.363 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.363 * [misc]backup-simplify: Simplify 2 into 2 1554299870.363 * [misc]taylor: Taking taylor expansion of n in n 1554299870.363 * [misc]backup-simplify: Simplify 0 into 0 1554299870.363 * [misc]backup-simplify: Simplify 1 into 1 1554299870.363 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299870.363 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299870.364 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.364 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.364 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.364 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299870.364 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.364 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299870.364 * [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)))) 1554299870.364 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in n 1554299870.364 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in n 1554299870.364 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in n 1554299870.364 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1554299870.364 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.364 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.364 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.364 * [misc]taylor: Taking taylor expansion of k in n 1554299870.364 * [misc]backup-simplify: Simplify k into k 1554299870.364 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299870.364 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.364 * [misc]backup-simplify: Simplify PI into PI 1554299870.365 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.365 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.365 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.365 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (log PI)) into (* -1/2 (* (log PI) k)) 1554299870.365 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (log PI) k))) into (exp (* -1/2 (* (log PI) k))) 1554299870.365 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in n 1554299870.365 * [misc]taylor: Taking taylor expansion of (/ PI k) in n 1554299870.365 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.365 * [misc]backup-simplify: Simplify PI into PI 1554299870.365 * [misc]taylor: Taking taylor expansion of k in n 1554299870.365 * [misc]backup-simplify: Simplify k into k 1554299870.365 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1554299870.365 * [misc]backup-simplify: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k)) 1554299870.365 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1554299870.365 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0 1554299870.366 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) 1554299870.366 * [misc]backup-simplify: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) (sqrt (/ PI k))) into (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) (sqrt (/ PI k))) 1554299870.366 * [misc]taylor: Taking taylor expansion of (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) (sqrt (/ PI k))) in k 1554299870.366 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) in k 1554299870.366 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554299870.366 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554299870.366 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554299870.366 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299870.366 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.366 * [misc]backup-simplify: Simplify 2 into 2 1554299870.367 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.367 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.367 * [misc]taylor: Taking taylor expansion of n in k 1554299870.367 * [misc]backup-simplify: Simplify n into n 1554299870.367 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.367 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299870.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.367 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.367 * [misc]taylor: Taking taylor expansion of k in k 1554299870.367 * [misc]backup-simplify: Simplify 0 into 0 1554299870.367 * [misc]backup-simplify: Simplify 1 into 1 1554299870.367 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554299870.367 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.367 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.367 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.367 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554299870.367 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299870.367 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (log PI) k))) in k 1554299870.368 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (log PI) k)) in k 1554299870.368 * [misc]taylor: Taking taylor expansion of -1/2 in k 1554299870.368 * [misc]backup-simplify: Simplify -1/2 into -1/2 1554299870.368 * [misc]taylor: Taking taylor expansion of (* (log PI) k) in k 1554299870.368 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299870.368 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.368 * [misc]backup-simplify: Simplify PI into PI 1554299870.368 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.368 * [misc]taylor: Taking taylor expansion of k in k 1554299870.368 * [misc]backup-simplify: Simplify 0 into 0 1554299870.368 * [misc]backup-simplify: Simplify 1 into 1 1554299870.368 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1554299870.368 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1554299870.370 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299870.370 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1554299870.371 * [misc]backup-simplify: Simplify (+ (* -1/2 (log PI)) (* 0 0)) into (- (* 1/2 (log PI))) 1554299870.371 * [misc]backup-simplify: Simplify (exp 0) into 1 1554299870.371 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1554299870.371 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1554299870.371 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.371 * [misc]backup-simplify: Simplify PI into PI 1554299870.371 * [misc]taylor: Taking taylor expansion of k in k 1554299870.371 * [misc]backup-simplify: Simplify 0 into 0 1554299870.371 * [misc]backup-simplify: Simplify 1 into 1 1554299870.371 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1554299870.371 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299870.372 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299870.372 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 1) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299870.372 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1554299870.372 * [misc]backup-simplify: Simplify 0 into 0 1554299870.372 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.373 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299870.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299870.374 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.374 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (log PI))) into 0 1554299870.375 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.377 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.377 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299870.377 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.380 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.380 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554299870.381 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.381 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (exp (* -1/2 (* (log PI) k))))) into 0 1554299870.381 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) 0) (* 0 (sqrt (/ PI k)))) into 0 1554299870.382 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.382 * [misc]backup-simplify: Simplify 0 into 0 1554299870.383 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (log PI)) 1554299870.383 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299870.383 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.383 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.385 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.385 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299870.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.386 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554299870.386 * [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))))) 1554299870.387 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (log PI))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1)) into (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))))) 1554299870.388 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* +nan.0 PI)) (* (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))))) 0)) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))) 1554299870.389 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))) 1554299870.389 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.389 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ PI k)))) into 0 1554299870.389 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.392 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299870.392 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299870.392 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.393 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554299870.394 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299870.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299870.397 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299870.397 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.397 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.397 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554299870.399 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299870.399 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (log PI) k)))))) into 0 1554299870.400 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ PI k))))) into 0 1554299870.400 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.400 * [misc]backup-simplify: Simplify 0 into 0 1554299870.400 * [misc]backup-simplify: Simplify 0 into 0 1554299870.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1554299870.401 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1554299870.404 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299870.404 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.405 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (log PI)) (* 0 0))) into 0 1554299870.407 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log PI) 2)) 1554299870.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.407 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.410 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.411 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299870.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.411 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554299870.412 * [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))))) 1554299870.415 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (pow (log PI) 2))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (log 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))) into (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))) 1554299870.419 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* +nan.0 (pow PI 2))) (+ (* (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))))) (* +nan.0 PI)) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))) 1554299870.420 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))) 1554299870.421 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.421 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ PI k)))) into 0 1554299870.421 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.425 * [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 1554299870.425 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.425 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554299870.425 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.426 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554299870.428 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554299870.428 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1554299870.432 * [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 1554299870.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1554299870.432 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.433 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.433 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1554299870.437 * [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 1554299870.438 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (log PI) k))))))) into 0 1554299870.439 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ PI k)))))) into 0 1554299870.439 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.439 * [misc]backup-simplify: Simplify 0 into 0 1554299870.439 * [misc]backup-simplify: Simplify 0 into 0 1554299870.439 * [misc]backup-simplify: Simplify 0 into 0 1554299870.440 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.443 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1554299870.450 * [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 1554299870.451 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299870.453 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 0)))) into 0 1554299870.458 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (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)) 1554299870.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299870.459 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.459 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.463 * [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 1554299870.464 * [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 1554299870.464 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.465 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1554299870.466 * [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)))))) 1554299870.471 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (pow (log PI) 3))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (pow (log PI) 2))) (+ (* (* (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))) (* (* -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)))))) 1)))) into (- (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n)))) (+ (* 1/16 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))) (+ (* 1/16 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)))) (+ (* 1/16 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))) (+ (* 1/16 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)))) (+ (* 1/8 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2)))) (+ (* 1/48 (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3))))))))))))) 1554299870.483 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* +nan.0 (pow PI 3))) (+ (* (- (+ (* 1/2 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))))) (* +nan.0 (pow PI 2))) (+ (* (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))) (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))) (* +nan.0 PI)) (* (- (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n)))) (+ (* 1/16 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)))) (+ (* 1/16 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)))) (+ (* 1/16 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))) (+ (* 1/16 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)))) (+ (* 1/8 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2)))) (+ (* 1/48 (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n)))))) (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3))))))))))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow PI 2)))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))))))))))))))))))))))) 1554299870.491 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow PI 2)))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow PI 2)))) (- (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))))))))))))))) 1554299870.503 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow PI 2)))) (- (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (* PI (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI k)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) k)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 3) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (pow k 2)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (pow PI 2) (pow k 2)))))))))))))))))))))))))))))))))) 1554299870.504 * [misc]backup-simplify: Simplify (/ (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (/ 1 k)) (pow PI (- (/ (/ 1 k) 2))))) into (* (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) (sqrt (* k PI))) 1554299870.504 * [misc]approximate: Taking taylor expansion of (* (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) (sqrt (* k PI))) in (n k) around 0 1554299870.504 * [misc]taylor: Taking taylor expansion of (* (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) (sqrt (* k PI))) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of k in k 1554299870.504 * [misc]backup-simplify: Simplify 0 into 0 1554299870.504 * [misc]backup-simplify: Simplify 1 into 1 1554299870.504 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.504 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554299870.504 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.504 * [misc]backup-simplify: Simplify 2 into 2 1554299870.504 * [misc]taylor: Taking taylor expansion of n in k 1554299870.504 * [misc]backup-simplify: Simplify n into n 1554299870.504 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554299870.504 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554299870.504 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.504 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.505 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.505 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554299870.505 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299870.505 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.505 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of k in k 1554299870.505 * [misc]backup-simplify: Simplify 0 into 0 1554299870.505 * [misc]backup-simplify: Simplify 1 into 1 1554299870.505 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.505 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299870.505 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.505 * [misc]backup-simplify: Simplify PI into PI 1554299870.505 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.505 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.506 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.506 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299870.506 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log PI))) into (exp (* -1/2 (/ (log PI) k))) 1554299870.506 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in k 1554299870.506 * [misc]taylor: Taking taylor expansion of (* k PI) in k 1554299870.506 * [misc]taylor: Taking taylor expansion of k in k 1554299870.506 * [misc]backup-simplify: Simplify 0 into 0 1554299870.506 * [misc]backup-simplify: Simplify 1 into 1 1554299870.506 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.506 * [misc]backup-simplify: Simplify PI into PI 1554299870.506 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299870.507 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299870.507 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299870.507 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299870.507 * [misc]taylor: Taking taylor expansion of (* (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) (sqrt (* k PI))) in n 1554299870.507 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in n 1554299870.507 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299870.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of k in n 1554299870.508 * [misc]backup-simplify: Simplify k into k 1554299870.508 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.508 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299870.508 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.508 * [misc]backup-simplify: Simplify 2 into 2 1554299870.508 * [misc]taylor: Taking taylor expansion of n in n 1554299870.508 * [misc]backup-simplify: Simplify 0 into 0 1554299870.508 * [misc]backup-simplify: Simplify 1 into 1 1554299870.508 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299870.508 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.508 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.508 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.508 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299870.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.509 * [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))) 1554299870.509 * [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)))) 1554299870.509 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in n 1554299870.509 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in n 1554299870.509 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in n 1554299870.509 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1554299870.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.509 * [misc]taylor: Taking taylor expansion of k in n 1554299870.509 * [misc]backup-simplify: Simplify k into k 1554299870.510 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.510 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299870.510 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.510 * [misc]backup-simplify: Simplify PI into PI 1554299870.510 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.510 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.510 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.510 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (log PI)) into (* -1/2 (/ (log PI) k)) 1554299870.510 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1554299870.510 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in n 1554299870.510 * [misc]taylor: Taking taylor expansion of (* k PI) in n 1554299870.510 * [misc]taylor: Taking taylor expansion of k in n 1554299870.510 * [misc]backup-simplify: Simplify k into k 1554299870.510 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.510 * [misc]backup-simplify: Simplify PI into PI 1554299870.510 * [misc]backup-simplify: Simplify (* k PI) into (* PI k) 1554299870.511 * [misc]backup-simplify: Simplify (sqrt (* PI k)) into (sqrt (* PI k)) 1554299870.511 * [misc]backup-simplify: Simplify (+ (* k 0) (* 0 PI)) into 0 1554299870.511 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0 1554299870.511 * [misc]taylor: Taking taylor expansion of (* (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) (sqrt (* k PI))) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.511 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.511 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of k in n 1554299870.511 * [misc]backup-simplify: Simplify k into k 1554299870.511 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.511 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299870.511 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.511 * [misc]backup-simplify: Simplify 2 into 2 1554299870.511 * [misc]taylor: Taking taylor expansion of n in n 1554299870.511 * [misc]backup-simplify: Simplify 0 into 0 1554299870.511 * [misc]backup-simplify: Simplify 1 into 1 1554299870.511 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299870.511 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.511 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.511 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.512 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299870.512 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.512 * [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))) 1554299870.512 * [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)))) 1554299870.512 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of k in n 1554299870.512 * [misc]backup-simplify: Simplify k into k 1554299870.512 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.512 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299870.512 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.512 * [misc]backup-simplify: Simplify PI into PI 1554299870.513 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.513 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.513 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.513 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (log PI)) into (* -1/2 (/ (log PI) k)) 1554299870.513 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1554299870.513 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in n 1554299870.513 * [misc]taylor: Taking taylor expansion of (* k PI) in n 1554299870.513 * [misc]taylor: Taking taylor expansion of k in n 1554299870.513 * [misc]backup-simplify: Simplify k into k 1554299870.513 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.513 * [misc]backup-simplify: Simplify PI into PI 1554299870.513 * [misc]backup-simplify: Simplify (* k PI) into (* PI k) 1554299870.513 * [misc]backup-simplify: Simplify (sqrt (* PI k)) into (sqrt (* PI k)) 1554299870.513 * [misc]backup-simplify: Simplify (+ (* k 0) (* 0 PI)) into 0 1554299870.513 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0 1554299870.514 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (exp (* -1/2 (/ (log PI) k)))) into (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1554299870.514 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt (* PI k))) into (* (sqrt (* k PI)) (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1554299870.514 * [misc]taylor: Taking taylor expansion of (* (sqrt (* k PI)) (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k 1554299870.514 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in k 1554299870.514 * [misc]taylor: Taking taylor expansion of (* k PI) in k 1554299870.514 * [misc]taylor: Taking taylor expansion of k in k 1554299870.514 * [misc]backup-simplify: Simplify 0 into 0 1554299870.514 * [misc]backup-simplify: Simplify 1 into 1 1554299870.514 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.514 * [misc]backup-simplify: Simplify PI into PI 1554299870.515 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1554299870.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1554299870.515 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299870.515 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1554299870.515 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1554299870.515 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log PI) k))) in k 1554299870.515 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log PI) k)) in k 1554299870.515 * [misc]taylor: Taking taylor expansion of -1/2 in k 1554299870.516 * [misc]backup-simplify: Simplify -1/2 into -1/2 1554299870.516 * [misc]taylor: Taking taylor expansion of (/ (log PI) k) in k 1554299870.516 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299870.516 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.516 * [misc]backup-simplify: Simplify PI into PI 1554299870.516 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.516 * [misc]taylor: Taking taylor expansion of k in k 1554299870.516 * [misc]backup-simplify: Simplify 0 into 0 1554299870.516 * [misc]backup-simplify: Simplify 1 into 1 1554299870.516 * [misc]backup-simplify: Simplify (/ (log PI) 1) into (log PI) 1554299870.516 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1554299870.517 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1554299870.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of k in k 1554299870.517 * [misc]backup-simplify: Simplify 0 into 0 1554299870.517 * [misc]backup-simplify: Simplify 1 into 1 1554299870.517 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.517 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.517 * [misc]backup-simplify: Simplify 2 into 2 1554299870.517 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.517 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.517 * [misc]taylor: Taking taylor expansion of n in k 1554299870.517 * [misc]backup-simplify: Simplify n into n 1554299870.517 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.517 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.517 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.517 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.517 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299870.518 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554299870.518 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554299870.518 * [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)))) 1554299870.518 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1554299870.519 * [misc]backup-simplify: Simplify (* 0 (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1554299870.519 * [misc]backup-simplify: Simplify 0 into 0 1554299870.519 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.520 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299870.520 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.520 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.520 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.521 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1554299870.522 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.522 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554299870.523 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.523 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.524 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.524 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.524 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.524 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.524 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554299870.525 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.525 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (exp (* -1/2 (/ (log PI) k))))) into 0 1554299870.526 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt (* PI k)))) into 0 1554299870.526 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.526 * [misc]backup-simplify: Simplify 0 into 0 1554299870.526 * [misc]backup-simplify: Simplify 0 into 0 1554299870.526 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log PI) k))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1554299870.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* PI (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1554299870.527 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* PI (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* PI (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1554299870.528 * [misc]backup-simplify: Simplify (+ (* k 0) (+ (* 0 0) (* 0 PI))) into 0 1554299870.528 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* PI k)))) into 0 1554299870.528 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.532 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299870.532 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.533 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.534 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554299870.536 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299870.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.540 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.540 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554299870.543 * [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 1554299870.544 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log PI) k)))))) into 0 1554299870.544 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (* PI k))))) into 0 1554299870.545 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.545 * [misc]backup-simplify: Simplify 0 into 0 1554299870.545 * [misc]backup-simplify: Simplify 0 into 0 1554299870.545 * [misc]backup-simplify: Simplify 0 into 0 1554299870.545 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log PI) k))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554299870.546 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1554299870.548 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1554299870.549 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* (pow PI 2) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1554299870.550 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* (pow PI 2) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* (pow PI 2) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1554299870.550 * [misc]backup-simplify: Simplify (+ (* k 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299870.551 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* PI k)))) into 0 1554299870.551 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.555 * [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 1554299870.555 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.555 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.555 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299870.556 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.556 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1554299870.558 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1554299870.559 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.563 * [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 1554299870.563 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.563 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299870.563 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.563 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.564 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554299870.566 * [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 1554299870.566 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log PI) k))))))) into 0 1554299870.567 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* PI k)))))) into 0 1554299870.567 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.567 * [misc]backup-simplify: Simplify 0 into 0 1554299870.567 * [misc]backup-simplify: Simplify 0 into 0 1554299870.567 * [misc]backup-simplify: Simplify 0 into 0 1554299870.567 * [misc]backup-simplify: Simplify 0 into 0 1554299870.568 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log PI) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1554299870.569 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1554299870.570 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1554299870.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (+ (* (* +nan.0 (pow PI 2)) 0) (* (* +nan.0 (pow PI 3)) (* (exp (* -1/2 (/ (log PI) k))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* (pow PI 3) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1554299870.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* (pow PI 3) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) k))) (* (pow PI 3) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1554299870.576 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) (/ 1 k)))) (* (pow PI 3) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) (/ 1 k)))) (* (pow PI 2) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1/2 (/ (log PI) (/ 1 k)))) (* PI (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (pow PI 3) (* (exp (* -1/2 (* (log PI) k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) (pow k 3))) (- (+ (* +nan.0 (/ (* PI (* (exp (* -1/2 (* (log PI) k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) k)) (- (* +nan.0 (/ (* (pow PI 2) (* (exp (* -1/2 (* (log PI) k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) (pow k 2)))))))) 1554299870.577 * [misc]backup-simplify: Simplify (/ (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (/ 1 (- k))) (pow PI (- (/ (/ 1 (- k)) 2))))) into (* (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (sqrt PI)) 1554299870.577 * [misc]approximate: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (sqrt PI)) in (n k) around 0 1554299870.577 * [misc]taylor: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (sqrt PI)) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.577 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of k in k 1554299870.577 * [misc]backup-simplify: Simplify 0 into 0 1554299870.577 * [misc]backup-simplify: Simplify 1 into 1 1554299870.577 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.577 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299870.577 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.577 * [misc]backup-simplify: Simplify PI into PI 1554299870.577 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.577 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.578 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299870.578 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log PI))) into (exp (* 1/2 (/ (log PI) k))) 1554299870.578 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of k in k 1554299870.578 * [misc]backup-simplify: Simplify 0 into 0 1554299870.578 * [misc]backup-simplify: Simplify 1 into 1 1554299870.578 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.578 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.578 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554299870.578 * [misc]taylor: Taking taylor expansion of -2 in k 1554299870.578 * [misc]backup-simplify: Simplify -2 into -2 1554299870.578 * [misc]taylor: Taking taylor expansion of n in k 1554299870.578 * [misc]backup-simplify: Simplify n into n 1554299870.578 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554299870.578 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554299870.578 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.579 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554299870.579 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299870.579 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299870.579 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299870.579 * [misc]taylor: Taking taylor expansion of -1 in k 1554299870.579 * [misc]backup-simplify: Simplify -1 into -1 1554299870.579 * [misc]taylor: Taking taylor expansion of k in k 1554299870.579 * [misc]backup-simplify: Simplify 0 into 0 1554299870.579 * [misc]backup-simplify: Simplify 1 into 1 1554299870.579 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299870.579 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299870.579 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299870.579 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (log PI) k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1554299870.580 * [misc]backup-simplify: Simplify (/ (* (exp (* 1/2 (/ (log PI) k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (/ (log PI) k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1554299870.580 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.580 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.580 * [misc]backup-simplify: Simplify PI into PI 1554299870.580 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.580 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.580 * [misc]taylor: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (sqrt PI)) in n 1554299870.580 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1554299870.580 * [misc]taylor: Taking taylor expansion of (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of k in n 1554299870.581 * [misc]backup-simplify: Simplify k into k 1554299870.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.581 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.581 * [misc]backup-simplify: Simplify PI into PI 1554299870.581 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.581 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.581 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log PI)) into (* 1/2 (/ (log PI) k)) 1554299870.581 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1554299870.581 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.581 * [misc]taylor: Taking taylor expansion of k in n 1554299870.581 * [misc]backup-simplify: Simplify k into k 1554299870.582 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.582 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299870.582 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299870.582 * [misc]taylor: Taking taylor expansion of -2 in n 1554299870.582 * [misc]backup-simplify: Simplify -2 into -2 1554299870.582 * [misc]taylor: Taking taylor expansion of n in n 1554299870.582 * [misc]backup-simplify: Simplify 0 into 0 1554299870.582 * [misc]backup-simplify: Simplify 1 into 1 1554299870.582 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299870.582 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.582 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.582 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299870.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.582 * [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))) 1554299870.583 * [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)))) 1554299870.583 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299870.583 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299870.583 * [misc]taylor: Taking taylor expansion of -1 in n 1554299870.583 * [misc]backup-simplify: Simplify -1 into -1 1554299870.583 * [misc]taylor: Taking taylor expansion of k in n 1554299870.583 * [misc]backup-simplify: Simplify k into k 1554299870.583 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299870.583 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299870.583 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299870.583 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299870.583 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) 1554299870.584 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) 1554299870.584 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.584 * [misc]backup-simplify: Simplify PI into PI 1554299870.584 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.584 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.584 * [misc]taylor: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (sqrt PI)) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of (* (pow PI (* 1/2 (/ 1 k))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.585 * [misc]taylor: Taking taylor expansion of k in n 1554299870.585 * [misc]backup-simplify: Simplify k into k 1554299870.585 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.585 * [misc]taylor: Taking taylor expansion of (log PI) in n 1554299870.585 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.585 * [misc]backup-simplify: Simplify PI into PI 1554299870.585 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.585 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.585 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log PI)) into (* 1/2 (/ (log PI) k)) 1554299870.586 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1554299870.586 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of k in n 1554299870.586 * [misc]backup-simplify: Simplify k into k 1554299870.586 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.586 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299870.586 * [misc]taylor: Taking taylor expansion of -2 in n 1554299870.586 * [misc]backup-simplify: Simplify -2 into -2 1554299870.586 * [misc]taylor: Taking taylor expansion of n in n 1554299870.586 * [misc]backup-simplify: Simplify 0 into 0 1554299870.586 * [misc]backup-simplify: Simplify 1 into 1 1554299870.586 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299870.586 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.586 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.587 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299870.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.587 * [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))) 1554299870.588 * [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)))) 1554299870.588 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1554299870.588 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1554299870.588 * [misc]taylor: Taking taylor expansion of -1 in n 1554299870.588 * [misc]backup-simplify: Simplify -1 into -1 1554299870.588 * [misc]taylor: Taking taylor expansion of k in n 1554299870.588 * [misc]backup-simplify: Simplify k into k 1554299870.588 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1554299870.588 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1554299870.588 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1554299870.588 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1554299870.589 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) 1554299870.589 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) 1554299870.589 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.589 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.589 * [misc]backup-simplify: Simplify PI into PI 1554299870.590 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.590 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.591 * [misc]backup-simplify: Simplify (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) (sqrt PI)) into (* (sqrt PI) (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k)))) 1554299870.591 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k)))) in k 1554299870.592 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.592 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.592 * [misc]backup-simplify: Simplify PI into PI 1554299870.592 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.593 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.593 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of k in k 1554299870.593 * [misc]backup-simplify: Simplify 0 into 0 1554299870.593 * [misc]backup-simplify: Simplify 1 into 1 1554299870.593 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.593 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of -2 in k 1554299870.593 * [misc]backup-simplify: Simplify -2 into -2 1554299870.593 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.593 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.593 * [misc]taylor: Taking taylor expansion of n in k 1554299870.593 * [misc]backup-simplify: Simplify n into n 1554299870.594 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.594 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.594 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.594 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299870.594 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554299870.594 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554299870.595 * [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)))) 1554299870.595 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log PI) k))) in k 1554299870.595 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log PI) k)) in k 1554299870.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.595 * [misc]taylor: Taking taylor expansion of (/ (log PI) k) in k 1554299870.595 * [misc]taylor: Taking taylor expansion of (log PI) in k 1554299870.595 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.595 * [misc]backup-simplify: Simplify PI into PI 1554299870.595 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1554299870.595 * [misc]taylor: Taking taylor expansion of k in k 1554299870.595 * [misc]backup-simplify: Simplify 0 into 0 1554299870.595 * [misc]backup-simplify: Simplify 1 into 1 1554299870.596 * [misc]backup-simplify: Simplify (/ (log PI) 1) into (log PI) 1554299870.596 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1554299870.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1554299870.596 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1554299870.596 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1554299870.597 * [misc]taylor: Taking taylor expansion of -1 in k 1554299870.597 * [misc]backup-simplify: Simplify -1 into -1 1554299870.597 * [misc]taylor: Taking taylor expansion of k in k 1554299870.597 * [misc]backup-simplify: Simplify 0 into 0 1554299870.597 * [misc]backup-simplify: Simplify 1 into 1 1554299870.597 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1554299870.597 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1554299870.597 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1554299870.598 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) 1554299870.599 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))) 1554299870.599 * [misc]backup-simplify: Simplify (* (sqrt PI) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))))) into (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI))) 1554299870.600 * [misc]backup-simplify: Simplify (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI))) into (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI))) 1554299870.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554299870.603 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554299870.603 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.603 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.604 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.604 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554299870.605 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.607 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1554299870.608 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.608 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (log PI))) into 0 1554299870.609 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.610 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log PI) k))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0 1554299870.611 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1554299870.612 * [misc]backup-simplify: Simplify (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) 0) (* 0 (sqrt PI))) into 0 1554299870.612 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.612 * [misc]backup-simplify: Simplify 0 into 0 1554299870.612 * [misc]backup-simplify: Simplify 0 into 0 1554299870.613 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (exp (* 1/2 (/ (log PI) k))))) into 0 1554299870.613 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1554299870.614 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1554299870.615 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))))) 1554299870.616 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))))) (* 0 (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))))) into (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI)))) 1554299870.617 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI)))) into (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI)))) 1554299870.619 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.623 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554299870.623 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.623 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.623 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.624 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.624 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554299870.626 * [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 1554299870.629 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1554299870.630 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.630 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.631 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1554299870.633 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299870.633 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log PI) k))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0 1554299870.633 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1554299870.634 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1554299870.635 * [misc]backup-simplify: Simplify (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1554299870.635 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.635 * [misc]backup-simplify: Simplify 0 into 0 1554299870.635 * [misc]backup-simplify: Simplify 0 into 0 1554299870.635 * [misc]backup-simplify: Simplify 0 into 0 1554299870.636 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (/ (log PI) k)))))) into 0 1554299870.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.637 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1554299870.638 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))))) 1554299870.639 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.640 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))))) (+ (* 0 (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k))))))) (* 0 (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))))))) into (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI)))) 1554299870.641 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI)))) into (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (exp (* 1/2 (/ (log PI) k)))) (sqrt PI)))) 1554299870.643 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (exp (* 1/2 (/ (log PI) (/ 1 (- k)))))) (sqrt PI)))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (exp (* 1/2 (/ (log PI) (/ 1 (- k)))))) (sqrt PI)))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (exp (* 1/2 (/ (log PI) (/ 1 (- k)))))) (sqrt PI))))) into (- (+ (* +nan.0 (* (sqrt PI) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* -1/2 (* (log PI) k)))) k))) (- (+ (* +nan.0 (* (sqrt PI) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* -1/2 (* (log PI) k)))) (pow k 2)))) (- (* +nan.0 (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* -1/2 (* (log PI) k)))) (sqrt PI)))))))) 1554299870.643 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1554299870.643 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt PI)) 1554299870.643 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt PI)) in (n k) around 0 1554299870.643 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt PI)) in k 1554299870.643 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1554299870.643 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1554299870.643 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1554299870.643 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299870.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.644 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.644 * [misc]taylor: Taking taylor expansion of k in k 1554299870.644 * [misc]backup-simplify: Simplify 0 into 0 1554299870.644 * [misc]backup-simplify: Simplify 1 into 1 1554299870.644 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1554299870.644 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1554299870.644 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.644 * [misc]backup-simplify: Simplify 2 into 2 1554299870.644 * [misc]taylor: Taking taylor expansion of n in k 1554299870.644 * [misc]backup-simplify: Simplify n into n 1554299870.644 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1554299870.644 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1554299870.644 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.644 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.644 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.644 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1554299870.644 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1554299870.644 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.644 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.644 * [misc]backup-simplify: Simplify PI into PI 1554299870.644 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.645 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.645 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt PI)) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.645 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.645 * [misc]taylor: Taking taylor expansion of k in n 1554299870.645 * [misc]backup-simplify: Simplify k into k 1554299870.645 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299870.645 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.645 * [misc]backup-simplify: Simplify 2 into 2 1554299870.645 * [misc]taylor: Taking taylor expansion of n in n 1554299870.645 * [misc]backup-simplify: Simplify 0 into 0 1554299870.645 * [misc]backup-simplify: Simplify 1 into 1 1554299870.645 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299870.645 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299870.645 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.646 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.646 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.646 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299870.646 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.646 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299870.646 * [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)))) 1554299870.646 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.646 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.646 * [misc]backup-simplify: Simplify PI into PI 1554299870.646 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.647 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.647 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt PI)) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.647 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.647 * [misc]taylor: Taking taylor expansion of k in n 1554299870.647 * [misc]backup-simplify: Simplify k into k 1554299870.647 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1554299870.647 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.647 * [misc]backup-simplify: Simplify 2 into 2 1554299870.647 * [misc]taylor: Taking taylor expansion of n in n 1554299870.647 * [misc]backup-simplify: Simplify 0 into 0 1554299870.647 * [misc]backup-simplify: Simplify 1 into 1 1554299870.647 * [misc]backup-simplify: Simplify (* 2 0) into 0 1554299870.647 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1554299870.648 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.648 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1554299870.648 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1554299870.648 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1554299870.648 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.648 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1554299870.648 * [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)))) 1554299870.648 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.648 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.648 * [misc]backup-simplify: Simplify PI into PI 1554299870.648 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.649 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.649 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt PI)) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt PI)) 1554299870.649 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt PI)) in k 1554299870.649 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1554299870.649 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1554299870.649 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1554299870.649 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299870.649 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.649 * [misc]backup-simplify: Simplify 2 into 2 1554299870.650 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.650 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.650 * [misc]taylor: Taking taylor expansion of n in k 1554299870.650 * [misc]backup-simplify: Simplify n into n 1554299870.650 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.650 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1554299870.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.650 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1554299870.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.650 * [misc]taylor: Taking taylor expansion of k in k 1554299870.650 * [misc]backup-simplify: Simplify 0 into 0 1554299870.650 * [misc]backup-simplify: Simplify 1 into 1 1554299870.650 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1554299870.650 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1554299870.650 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.650 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.650 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1554299870.651 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1554299870.651 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.651 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.651 * [misc]backup-simplify: Simplify PI into PI 1554299870.651 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.651 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.652 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) 1554299870.652 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) 1554299870.652 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.654 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1554299870.654 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.654 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.654 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1554299870.655 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.656 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt PI))) into 0 1554299870.656 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.656 * [misc]backup-simplify: Simplify 0 into 0 1554299870.656 * [misc]backup-simplify: Simplify 0 into 0 1554299870.656 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1554299870.656 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.656 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.657 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.658 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1554299870.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.658 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1554299870.659 * [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))))) 1554299870.659 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) 0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (sqrt PI))) into (- (+ (* 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))))) 1554299870.661 * [misc]backup-simplify: Simplify (- (+ (* 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))))) into (- (+ (* 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))))) 1554299870.662 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.662 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1554299870.664 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1554299870.664 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.665 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1554299870.665 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1554299870.666 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1554299870.667 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1554299870.667 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.667 * [misc]backup-simplify: Simplify 0 into 0 1554299870.667 * [misc]backup-simplify: Simplify 0 into 0 1554299870.667 * [misc]backup-simplify: Simplify 0 into 0 1554299870.668 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.668 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1554299870.668 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.671 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.672 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1554299870.672 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.672 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1554299870.673 * [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))))) 1554299870.676 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) 0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 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))))) (sqrt PI)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (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 n) 2)) (sqrt PI))))) 1554299870.678 * [misc]backup-simplify: Simplify (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (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 n) 2)) (sqrt PI))))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (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))))) 1554299870.683 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (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))))) (pow (* k 1) 2)) (+ (* (- (+ (* 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))))) (* k 1)) (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI)))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))) 1554299870.684 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ 1 (pow PI 1/2))) into (* (sqrt PI) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1554299870.684 * [misc]approximate: Taking taylor expansion of (* (sqrt PI) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1554299870.684 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1554299870.684 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.684 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.684 * [misc]backup-simplify: Simplify PI into PI 1554299870.684 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.685 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.685 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of k in k 1554299870.685 * [misc]backup-simplify: Simplify 0 into 0 1554299870.685 * [misc]backup-simplify: Simplify 1 into 1 1554299870.685 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.685 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1554299870.685 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.685 * [misc]backup-simplify: Simplify 2 into 2 1554299870.685 * [misc]taylor: Taking taylor expansion of n in k 1554299870.685 * [misc]backup-simplify: Simplify n into n 1554299870.685 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1554299870.686 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1554299870.686 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.686 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.686 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.686 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1554299870.686 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1554299870.686 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299870.686 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.686 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.686 * [misc]backup-simplify: Simplify PI into PI 1554299870.687 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.687 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.687 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299870.687 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299870.687 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299870.687 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299870.687 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.687 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.687 * [misc]taylor: Taking taylor expansion of k in n 1554299870.687 * [misc]backup-simplify: Simplify k into k 1554299870.688 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.688 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299870.688 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299870.688 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.688 * [misc]backup-simplify: Simplify 2 into 2 1554299870.688 * [misc]taylor: Taking taylor expansion of n in n 1554299870.688 * [misc]backup-simplify: Simplify 0 into 0 1554299870.688 * [misc]backup-simplify: Simplify 1 into 1 1554299870.688 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299870.688 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.688 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.688 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.688 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299870.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.689 * [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))) 1554299870.689 * [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)))) 1554299870.689 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1554299870.689 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.689 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.689 * [misc]backup-simplify: Simplify PI into PI 1554299870.689 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.690 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.690 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of k in n 1554299870.690 * [misc]backup-simplify: Simplify k into k 1554299870.690 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.690 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1554299870.690 * [misc]taylor: Taking taylor expansion of 2 in n 1554299870.690 * [misc]backup-simplify: Simplify 2 into 2 1554299870.691 * [misc]taylor: Taking taylor expansion of n in n 1554299870.691 * [misc]backup-simplify: Simplify 0 into 0 1554299870.691 * [misc]backup-simplify: Simplify 1 into 1 1554299870.691 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1554299870.691 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.691 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.691 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1554299870.691 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1554299870.691 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.692 * [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))) 1554299870.692 * [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)))) 1554299870.693 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1554299870.693 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1554299870.693 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.693 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.693 * [misc]backup-simplify: Simplify PI into PI 1554299870.693 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.694 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.695 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.695 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of k in k 1554299870.695 * [misc]backup-simplify: Simplify 0 into 0 1554299870.695 * [misc]backup-simplify: Simplify 1 into 1 1554299870.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.695 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of (log 2) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of 2 in k 1554299870.695 * [misc]backup-simplify: Simplify 2 into 2 1554299870.695 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1554299870.695 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.695 * [misc]taylor: Taking taylor expansion of n in k 1554299870.695 * [misc]backup-simplify: Simplify n into n 1554299870.695 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.695 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.696 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1554299870.696 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1554299870.696 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299870.696 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1554299870.696 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1554299870.696 * [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)))) 1554299870.697 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1554299870.697 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1554299870.698 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1554299870.700 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1554299870.700 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.700 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.700 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.701 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.701 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1554299870.702 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.703 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1554299870.703 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.703 * [misc]backup-simplify: Simplify 0 into 0 1554299870.703 * [misc]backup-simplify: Simplify 0 into 0 1554299870.704 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1554299870.704 * [misc]backup-simplify: Simplify 0 into 0 1554299870.704 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.708 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1554299870.708 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.709 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.709 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.709 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.709 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.710 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1554299870.712 * [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 1554299870.713 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.714 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554299870.714 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.714 * [misc]backup-simplify: Simplify 0 into 0 1554299870.714 * [misc]backup-simplify: Simplify 0 into 0 1554299870.714 * [misc]backup-simplify: Simplify 0 into 0 1554299870.715 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.715 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1554299870.715 * [misc]backup-simplify: Simplify 0 into 0 1554299870.716 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.719 * [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 1554299870.720 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299870.720 * [misc]backup-simplify: Simplify (- 0) into 0 1554299870.720 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.720 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1554299870.721 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1554299870.723 * [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 1554299870.723 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into 0 1554299870.724 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1554299870.724 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.724 * [misc]backup-simplify: Simplify 0 into 0 1554299870.724 * [misc]backup-simplify: Simplify 0 into 0 1554299870.725 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))) into (* (sqrt PI) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) 1554299870.725 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ 1 (pow PI 1/2))) into (* (sqrt PI) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1554299870.725 * [misc]approximate: Taking taylor expansion of (* (sqrt PI) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0 1554299870.725 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1554299870.725 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.725 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.725 * [misc]backup-simplify: Simplify PI into PI 1554299870.725 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.726 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of k in k 1554299870.726 * [misc]backup-simplify: Simplify 0 into 0 1554299870.726 * [misc]backup-simplify: Simplify 1 into 1 1554299870.726 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.726 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1554299870.726 * [misc]taylor: Taking taylor expansion of -2 in k 1554299870.726 * [misc]backup-simplify: Simplify -2 into -2 1554299870.726 * [misc]taylor: Taking taylor expansion of n in k 1554299870.726 * [misc]backup-simplify: Simplify n into n 1554299870.726 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1554299870.726 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1554299870.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.726 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.727 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1554299870.727 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1554299870.727 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.727 * [misc]backup-simplify: Simplify PI into PI 1554299870.727 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.727 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.727 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.727 * [misc]taylor: Taking taylor expansion of k in n 1554299870.728 * [misc]backup-simplify: Simplify k into k 1554299870.728 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.728 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299870.728 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299870.728 * [misc]taylor: Taking taylor expansion of -2 in n 1554299870.728 * [misc]backup-simplify: Simplify -2 into -2 1554299870.728 * [misc]taylor: Taking taylor expansion of n in n 1554299870.728 * [misc]backup-simplify: Simplify 0 into 0 1554299870.728 * [misc]backup-simplify: Simplify 1 into 1 1554299870.728 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299870.728 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.728 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299870.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.728 * [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))) 1554299870.729 * [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)))) 1554299870.729 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of PI in n 1554299870.729 * [misc]backup-simplify: Simplify PI into PI 1554299870.729 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.729 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.729 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1554299870.729 * [misc]taylor: Taking taylor expansion of k in n 1554299870.729 * [misc]backup-simplify: Simplify k into k 1554299870.729 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1554299870.730 * [misc]taylor: Taking taylor expansion of 1/2 in n 1554299870.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.730 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1554299870.730 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1554299870.730 * [misc]taylor: Taking taylor expansion of -2 in n 1554299870.730 * [misc]backup-simplify: Simplify -2 into -2 1554299870.730 * [misc]taylor: Taking taylor expansion of n in n 1554299870.730 * [misc]backup-simplify: Simplify 0 into 0 1554299870.730 * [misc]backup-simplify: Simplify 1 into 1 1554299870.730 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1554299870.730 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.730 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1554299870.730 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1554299870.730 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.730 * [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))) 1554299870.731 * [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)))) 1554299870.731 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt PI)) 1554299870.731 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt PI)) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of k in k 1554299870.731 * [misc]backup-simplify: Simplify 0 into 0 1554299870.731 * [misc]backup-simplify: Simplify 1 into 1 1554299870.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1554299870.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1554299870.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1554299870.731 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of (log -2) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of -2 in k 1554299870.731 * [misc]backup-simplify: Simplify -2 into -2 1554299870.731 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1554299870.731 * [misc]taylor: Taking taylor expansion of (log n) in k 1554299870.731 * [misc]taylor: Taking taylor expansion of n in k 1554299870.731 * [misc]backup-simplify: Simplify n into n 1554299870.732 * [misc]backup-simplify: Simplify (log n) into (log n) 1554299870.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1554299870.732 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1554299870.732 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1554299870.732 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1554299870.732 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1554299870.732 * [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)))) 1554299870.732 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1554299870.732 * [misc]taylor: Taking taylor expansion of PI in k 1554299870.732 * [misc]backup-simplify: Simplify PI into PI 1554299870.732 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1554299870.733 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1554299870.733 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt PI)) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt PI)) 1554299870.734 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt PI)) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt PI)) 1554299870.734 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1554299870.735 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1554299870.735 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1554299870.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1554299870.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.736 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.736 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1554299870.737 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1554299870.737 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0 1554299870.737 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.737 * [misc]backup-simplify: Simplify 0 into 0 1554299870.737 * [misc]backup-simplify: Simplify 0 into 0 1554299870.738 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (sqrt PI))) into 0 1554299870.738 * [misc]backup-simplify: Simplify 0 into 0 1554299870.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.740 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1554299870.740 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.741 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1554299870.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.741 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.742 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1554299870.744 * [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 1554299870.745 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.746 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0 1554299870.746 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.746 * [misc]backup-simplify: Simplify 0 into 0 1554299870.746 * [misc]backup-simplify: Simplify 0 into 0 1554299870.746 * [misc]backup-simplify: Simplify 0 into 0 1554299870.747 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1554299870.748 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1554299870.749 * [misc]backup-simplify: Simplify 0 into 0 1554299870.749 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1554299870.755 * [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 1554299870.755 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1554299870.756 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1554299870.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1554299870.757 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1554299870.757 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1554299870.760 * [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 1554299870.762 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into 0 1554299870.763 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1554299870.763 * [misc]taylor: Taking taylor expansion of 0 in k 1554299870.763 * [misc]backup-simplify: Simplify 0 into 0 1554299870.763 * [misc]backup-simplify: Simplify 0 into 0 1554299870.763 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (sqrt PI)) into (* (sqrt PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) 1554299870.764 * * * [misc]progress: simplifying candidates 1554299870.764 * * * * [misc]progress: [ 1 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 2 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 3 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 4 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 5 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 6 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 7 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 8 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 9 / 621 ] simplifiying candidate # 1554299870.764 * * * * [misc]progress: [ 10 / 621 ] simplifiying candidate #real (real->posit16 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2))))))> 1554299870.764 * * * * [misc]progress: [ 11 / 621 ] simplifiying candidate # 1554299870.765 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1554299870.765 * * [misc]simplify: iters left: 6 (9 enodes) 1554299870.770 * * [misc]simplify: iters left: 5 (34 enodes) 1554299870.780 * * [misc]simplify: iters left: 4 (56 enodes) 1554299870.799 * * [misc]simplify: iters left: 3 (110 enodes) 1554299870.836 * * [misc]simplify: iters left: 2 (237 enodes) 1554299870.887 * * [misc]simplify: iters left: 1 (435 enodes) 1554299871.010 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.010 * * [misc]simplify: Extracting #1: cost 31 inf + 0 1554299871.011 * * [misc]simplify: Extracting #2: cost 79 inf + 0 1554299871.011 * * [misc]simplify: Extracting #3: cost 97 inf + 44 1554299871.012 * * [misc]simplify: Extracting #4: cost 59 inf + 4539 1554299871.015 * * [misc]simplify: Extracting #5: cost 17 inf + 13099 1554299871.019 * * [misc]simplify: Extracting #6: cost 0 inf + 17486 1554299871.023 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1554299871.023 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.023 * * * * [misc]progress: [ 12 / 621 ] simplifiying candidate # 1554299871.023 * * * * [misc]progress: [ 13 / 621 ] simplifiying candidate # 1554299871.023 * [enter]simplify: Simplifying (* n 2) 1554299871.023 * * [misc]simplify: iters left: 2 (3 enodes) 1554299871.024 * * [misc]simplify: iters left: 1 (10 enodes) 1554299871.026 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.026 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299871.026 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1554299871.026 * * [misc]simplify: Extracting #3: cost 0 inf + 86 1554299871.026 * [exit]simplify: Simplified to (* n 2) 1554299871.026 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.027 * * * * [misc]progress: [ 14 / 621 ] simplifiying candidate # 1554299871.027 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1554299871.027 * * [misc]simplify: iters left: 3 (6 enodes) 1554299871.030 * * [misc]simplify: iters left: 2 (19 enodes) 1554299871.035 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.035 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299871.035 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299871.036 * * [misc]simplify: Extracting #3: cost 4 inf + 87 1554299871.036 * * [misc]simplify: Extracting #4: cost 0 inf + 757 1554299871.036 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1554299871.036 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.036 * * * * [misc]progress: [ 15 / 621 ] simplifiying candidate # 1554299871.036 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1554299871.037 * * [misc]simplify: iters left: 5 (6 enodes) 1554299871.040 * * [misc]simplify: iters left: 4 (20 enodes) 1554299871.046 * * [misc]simplify: iters left: 3 (25 enodes) 1554299871.053 * * [misc]simplify: iters left: 2 (27 enodes) 1554299871.060 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.061 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299871.061 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299871.061 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299871.061 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299871.061 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299871.061 * * [misc]simplify: Extracting #6: cost 1 inf + 662 1554299871.061 * * [misc]simplify: Extracting #7: cost 0 inf + 825 1554299871.062 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1554299871.062 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.062 * * * * [misc]progress: [ 16 / 621 ] simplifiying candidate # 1554299871.062 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1554299871.063 * * [misc]simplify: iters left: 5 (6 enodes) 1554299871.066 * * [misc]simplify: iters left: 4 (20 enodes) 1554299871.071 * * [misc]simplify: iters left: 3 (25 enodes) 1554299871.077 * * [misc]simplify: iters left: 2 (27 enodes) 1554299871.081 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.081 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554299871.081 * * [misc]simplify: Extracting #2: cost 7 inf + 0 1554299871.081 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299871.081 * * [misc]simplify: Extracting #4: cost 9 inf + 44 1554299871.081 * * [misc]simplify: Extracting #5: cost 5 inf + 291 1554299871.082 * * [misc]simplify: Extracting #6: cost 1 inf + 622 1554299871.082 * * [misc]simplify: Extracting #7: cost 0 inf + 745 1554299871.082 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1554299871.082 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.082 * * * * [misc]progress: [ 17 / 621 ] simplifiying candidate # 1554299871.082 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1554299871.082 * * [misc]simplify: iters left: 4 (5 enodes) 1554299871.084 * * [misc]simplify: iters left: 3 (17 enodes) 1554299871.087 * * [misc]simplify: iters left: 2 (22 enodes) 1554299871.093 * * [misc]simplify: iters left: 1 (24 enodes) 1554299871.096 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.096 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299871.096 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299871.097 * * [misc]simplify: Extracting #3: cost 1 inf + 458 1554299871.097 * * [misc]simplify: Extracting #4: cost 0 inf + 499 1554299871.097 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1554299871.097 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.097 * * * * [misc]progress: [ 18 / 621 ] simplifiying candidate # 1554299871.097 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554299871.097 * * [misc]simplify: iters left: 5 (7 enodes) 1554299871.099 * * [misc]simplify: iters left: 4 (24 enodes) 1554299871.104 * * [misc]simplify: iters left: 3 (26 enodes) 1554299871.111 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.111 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299871.111 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299871.111 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299871.111 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554299871.111 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554299871.112 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554299871.112 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554299871.112 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554299871.112 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.112 * * * * [misc]progress: [ 19 / 621 ] simplifiying candidate # 1554299871.113 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1554299871.113 * * [misc]simplify: iters left: 5 (7 enodes) 1554299871.117 * * [misc]simplify: iters left: 4 (24 enodes) 1554299871.123 * * [misc]simplify: iters left: 3 (26 enodes) 1554299871.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.128 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299871.128 * * [misc]simplify: Extracting #2: cost 10 inf + 0 1554299871.128 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299871.128 * * [misc]simplify: Extracting #4: cost 6 inf + 169 1554299871.128 * * [misc]simplify: Extracting #5: cost 3 inf + 335 1554299871.128 * * [misc]simplify: Extracting #6: cost 1 inf + 750 1554299871.128 * * [misc]simplify: Extracting #7: cost 0 inf + 1083 1554299871.128 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1554299871.128 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.128 * * * * [misc]progress: [ 20 / 621 ] simplifiying candidate # 1554299871.129 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554299871.129 * * [misc]simplify: iters left: 5 (7 enodes) 1554299871.131 * * [misc]simplify: iters left: 4 (23 enodes) 1554299871.134 * * [misc]simplify: iters left: 3 (28 enodes) 1554299871.138 * * [misc]simplify: iters left: 2 (30 enodes) 1554299871.142 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.142 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299871.142 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299871.142 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554299871.142 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554299871.142 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554299871.143 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554299871.143 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554299871.143 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299871.143 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.143 * * * * [misc]progress: [ 21 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 22 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 23 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 24 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 25 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 26 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 27 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 28 / 621 ] simplifiying candidate #real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))> 1554299871.143 * * * * [misc]progress: [ 29 / 621 ] simplifiying candidate # 1554299871.143 * * * * [misc]progress: [ 30 / 621 ] simplifiying candidate # 1554299871.144 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299871.144 * * [misc]simplify: iters left: 6 (20 enodes) 1554299871.149 * * [misc]simplify: iters left: 5 (87 enodes) 1554299871.171 * * [misc]simplify: iters left: 4 (160 enodes) 1554299871.214 * * [misc]simplify: iters left: 3 (363 enodes) 1554299871.353 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.353 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299871.354 * * [misc]simplify: Extracting #2: cost 242 inf + 0 1554299871.355 * * [misc]simplify: Extracting #3: cost 259 inf + 559 1554299871.357 * * [misc]simplify: Extracting #4: cost 213 inf + 7991 1554299871.364 * * [misc]simplify: Extracting #5: cost 143 inf + 28659 1554299871.378 * * [misc]simplify: Extracting #6: cost 23 inf + 79431 1554299871.402 * * [misc]simplify: Extracting #7: cost 0 inf + 89479 1554299871.433 * * [misc]simplify: Extracting #8: cost 0 inf + 89359 1554299871.452 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299871.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299871.452 * * * * [misc]progress: [ 31 / 621 ] simplifiying candidate # 1554299871.452 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299871.453 * * [misc]simplify: iters left: 6 (21 enodes) 1554299871.460 * * [misc]simplify: iters left: 5 (88 enodes) 1554299871.488 * * [misc]simplify: iters left: 4 (156 enodes) 1554299871.522 * * [misc]simplify: iters left: 3 (345 enodes) 1554299871.670 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.670 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299871.671 * * [misc]simplify: Extracting #2: cost 236 inf + 0 1554299871.672 * * [misc]simplify: Extracting #3: cost 254 inf + 434 1554299871.673 * * [misc]simplify: Extracting #4: cost 208 inf + 9655 1554299871.679 * * [misc]simplify: Extracting #5: cost 122 inf + 37756 1554299871.694 * * [misc]simplify: Extracting #6: cost 13 inf + 81658 1554299871.721 * * [misc]simplify: Extracting #7: cost 0 inf + 86880 1554299871.755 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299871.755 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299871.755 * * * * [misc]progress: [ 32 / 621 ] simplifiying candidate # 1554299871.756 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299871.756 * * [misc]simplify: iters left: 6 (20 enodes) 1554299871.766 * * [misc]simplify: iters left: 5 (83 enodes) 1554299871.780 * * [misc]simplify: iters left: 4 (137 enodes) 1554299871.815 * * [misc]simplify: iters left: 3 (286 enodes) 1554299871.924 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299871.924 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554299871.925 * * [misc]simplify: Extracting #2: cost 191 inf + 0 1554299871.927 * * [misc]simplify: Extracting #3: cost 217 inf + 74 1554299871.929 * * [misc]simplify: Extracting #4: cost 187 inf + 3643 1554299871.942 * * [misc]simplify: Extracting #5: cost 57 inf + 46072 1554299871.968 * * [misc]simplify: Extracting #6: cost 1 inf + 69899 1554299871.995 * * [misc]simplify: Extracting #7: cost 0 inf + 70272 1554299872.022 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* 1/2 (log PI)) (log (sqrt k)))) (* (log PI) (/ k 2))) 1554299872.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* 1/2 (log PI)) (log (sqrt k)))) (* (log PI) (/ k 2))))) 1554299872.022 * * * * [misc]progress: [ 33 / 621 ] simplifiying candidate # 1554299872.022 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299872.023 * * [misc]simplify: iters left: 6 (21 enodes) 1554299872.033 * * [misc]simplify: iters left: 5 (86 enodes) 1554299872.060 * * [misc]simplify: iters left: 4 (156 enodes) 1554299872.094 * * [misc]simplify: iters left: 3 (369 enodes) 1554299872.254 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299872.254 * * [misc]simplify: Extracting #1: cost 66 inf + 0 1554299872.255 * * [misc]simplify: Extracting #2: cost 248 inf + 0 1554299872.256 * * [misc]simplify: Extracting #3: cost 272 inf + 116 1554299872.258 * * [misc]simplify: Extracting #4: cost 228 inf + 6017 1554299872.263 * * [misc]simplify: Extracting #5: cost 129 inf + 34264 1554299872.278 * * [misc]simplify: Extracting #6: cost 14 inf + 84820 1554299872.299 * * [misc]simplify: Extracting #7: cost 0 inf + 92935 1554299872.321 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299872.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299872.322 * * * * [misc]progress: [ 34 / 621 ] simplifiying candidate # 1554299872.322 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299872.322 * * [misc]simplify: iters left: 6 (21 enodes) 1554299872.327 * * [misc]simplify: iters left: 5 (85 enodes) 1554299872.341 * * [misc]simplify: iters left: 4 (152 enodes) 1554299872.397 * * [misc]simplify: iters left: 3 (349 enodes) 1554299872.617 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299872.617 * * [misc]simplify: Extracting #1: cost 58 inf + 0 1554299872.618 * * [misc]simplify: Extracting #2: cost 232 inf + 0 1554299872.620 * * [misc]simplify: Extracting #3: cost 253 inf + 338 1554299872.625 * * [misc]simplify: Extracting #4: cost 196 inf + 10462 1554299872.648 * * [misc]simplify: Extracting #5: cost 63 inf + 57738 1554299872.681 * * [misc]simplify: Extracting #6: cost 3 inf + 83850 1554299872.714 * * [misc]simplify: Extracting #7: cost 0 inf + 85116 1554299872.748 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299872.748 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299872.748 * * * * [misc]progress: [ 35 / 621 ] simplifiying candidate # 1554299872.749 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299872.749 * * [misc]simplify: iters left: 6 (20 enodes) 1554299872.759 * * [misc]simplify: iters left: 5 (80 enodes) 1554299872.787 * * [misc]simplify: iters left: 4 (133 enodes) 1554299872.817 * * [misc]simplify: iters left: 3 (287 enodes) 1554299872.962 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299872.962 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554299872.963 * * [misc]simplify: Extracting #2: cost 191 inf + 0 1554299872.965 * * [misc]simplify: Extracting #3: cost 217 inf + 186 1554299872.968 * * [misc]simplify: Extracting #4: cost 183 inf + 5210 1554299872.981 * * [misc]simplify: Extracting #5: cost 59 inf + 47058 1554299873.007 * * [misc]simplify: Extracting #6: cost 1 inf + 70930 1554299873.036 * * [misc]simplify: Extracting #7: cost 0 inf + 69734 1554299873.055 * [exit]simplify: Simplified to (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (+ (* -1/2 (log PI)) (* (/ k 2) (log PI)))) 1554299873.056 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (+ (* -1/2 (log PI)) (* (/ k 2) (log PI)))))) 1554299873.056 * * * * [misc]progress: [ 36 / 621 ] simplifiying candidate # 1554299873.056 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299873.056 * * [misc]simplify: iters left: 6 (22 enodes) 1554299873.062 * * [misc]simplify: iters left: 5 (94 enodes) 1554299873.078 * * [misc]simplify: iters left: 4 (164 enodes) 1554299873.145 * * [misc]simplify: iters left: 3 (380 enodes) 1554299873.329 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299873.330 * * [misc]simplify: Extracting #1: cost 71 inf + 0 1554299873.331 * * [misc]simplify: Extracting #2: cost 261 inf + 0 1554299873.333 * * [misc]simplify: Extracting #3: cost 279 inf + 669 1554299873.337 * * [misc]simplify: Extracting #4: cost 235 inf + 7883 1554299873.359 * * [misc]simplify: Extracting #5: cost 98 inf + 52952 1554299873.389 * * [misc]simplify: Extracting #6: cost 0 inf + 97564 1554299873.407 * * [misc]simplify: Extracting #7: cost 0 inf + 97427 1554299873.444 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299873.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1554299873.444 * * * * [misc]progress: [ 37 / 621 ] simplifiying candidate # 1554299873.445 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299873.445 * * [misc]simplify: iters left: 6 (22 enodes) 1554299873.457 * * [misc]simplify: iters left: 5 (93 enodes) 1554299873.480 * * [misc]simplify: iters left: 4 (160 enodes) 1554299873.525 * * [misc]simplify: iters left: 3 (358 enodes) 1554299873.698 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299873.698 * * [misc]simplify: Extracting #1: cost 55 inf + 0 1554299873.698 * * [misc]simplify: Extracting #2: cost 243 inf + 0 1554299873.699 * * [misc]simplify: Extracting #3: cost 264 inf + 435 1554299873.702 * * [misc]simplify: Extracting #4: cost 211 inf + 10597 1554299873.719 * * [misc]simplify: Extracting #5: cost 81 inf + 54929 1554299873.738 * * [misc]simplify: Extracting #6: cost 8 inf + 86594 1554299873.756 * * [misc]simplify: Extracting #7: cost 0 inf + 89949 1554299873.776 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299873.776 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299873.776 * * * * [misc]progress: [ 38 / 621 ] simplifiying candidate # 1554299873.776 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299873.776 * * [misc]simplify: iters left: 6 (21 enodes) 1554299873.783 * * [misc]simplify: iters left: 5 (87 enodes) 1554299873.803 * * [misc]simplify: iters left: 4 (138 enodes) 1554299873.852 * * [misc]simplify: iters left: 3 (293 enodes) 1554299873.971 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299873.971 * * [misc]simplify: Extracting #1: cost 45 inf + 0 1554299873.972 * * [misc]simplify: Extracting #2: cost 200 inf + 0 1554299873.974 * * [misc]simplify: Extracting #3: cost 229 inf + 75 1554299873.976 * * [misc]simplify: Extracting #4: cost 194 inf + 4517 1554299873.989 * * [misc]simplify: Extracting #5: cost 93 inf + 30481 1554299874.011 * * [misc]simplify: Extracting #6: cost 14 inf + 63910 1554299874.037 * * [misc]simplify: Extracting #7: cost 0 inf + 71289 1554299874.064 * [exit]simplify: Simplified to (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- (log PI)) (- 1/2 (/ k 2)))) 1554299874.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- (log PI)) (- 1/2 (/ k 2)))))) 1554299874.065 * * * * [misc]progress: [ 39 / 621 ] simplifiying candidate # 1554299874.065 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299874.065 * * [misc]simplify: iters left: 6 (20 enodes) 1554299874.075 * * [misc]simplify: iters left: 5 (87 enodes) 1554299874.103 * * [misc]simplify: iters left: 4 (160 enodes) 1554299874.174 * * [misc]simplify: iters left: 3 (363 enodes) 1554299874.323 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299874.324 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299874.324 * * [misc]simplify: Extracting #2: cost 242 inf + 0 1554299874.325 * * [misc]simplify: Extracting #3: cost 259 inf + 559 1554299874.327 * * [misc]simplify: Extracting #4: cost 213 inf + 7991 1554299874.331 * * [misc]simplify: Extracting #5: cost 143 inf + 28659 1554299874.345 * * [misc]simplify: Extracting #6: cost 23 inf + 79431 1554299874.368 * * [misc]simplify: Extracting #7: cost 0 inf + 89479 1554299874.385 * * [misc]simplify: Extracting #8: cost 0 inf + 89359 1554299874.405 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299874.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299874.405 * * * * [misc]progress: [ 40 / 621 ] simplifiying candidate # 1554299874.405 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299874.405 * * [misc]simplify: iters left: 6 (21 enodes) 1554299874.412 * * [misc]simplify: iters left: 5 (88 enodes) 1554299874.435 * * [misc]simplify: iters left: 4 (156 enodes) 1554299874.481 * * [misc]simplify: iters left: 3 (345 enodes) 1554299874.625 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299874.625 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299874.625 * * [misc]simplify: Extracting #2: cost 236 inf + 0 1554299874.626 * * [misc]simplify: Extracting #3: cost 254 inf + 434 1554299874.628 * * [misc]simplify: Extracting #4: cost 208 inf + 9655 1554299874.638 * * [misc]simplify: Extracting #5: cost 122 inf + 37756 1554299874.659 * * [misc]simplify: Extracting #6: cost 13 inf + 81658 1554299874.676 * * [misc]simplify: Extracting #7: cost 0 inf + 86880 1554299874.692 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299874.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299874.693 * * * * [misc]progress: [ 41 / 621 ] simplifiying candidate # 1554299874.693 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299874.693 * * [misc]simplify: iters left: 6 (20 enodes) 1554299874.699 * * [misc]simplify: iters left: 5 (83 enodes) 1554299874.723 * * [misc]simplify: iters left: 4 (137 enodes) 1554299874.750 * * [misc]simplify: iters left: 3 (286 enodes) 1554299874.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299874.830 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554299874.830 * * [misc]simplify: Extracting #2: cost 191 inf + 0 1554299874.831 * * [misc]simplify: Extracting #3: cost 217 inf + 74 1554299874.832 * * [misc]simplify: Extracting #4: cost 187 inf + 3643 1554299874.839 * * [misc]simplify: Extracting #5: cost 57 inf + 46072 1554299874.851 * * [misc]simplify: Extracting #6: cost 1 inf + 69899 1554299874.872 * * [misc]simplify: Extracting #7: cost 0 inf + 70272 1554299874.895 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* 1/2 (log PI)) (log (sqrt k)))) (* (log PI) (/ k 2))) 1554299874.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* 1/2 (log PI)) (log (sqrt k)))) (* (log PI) (/ k 2))))) 1554299874.895 * * * * [misc]progress: [ 42 / 621 ] simplifiying candidate # 1554299874.896 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299874.896 * * [misc]simplify: iters left: 6 (21 enodes) 1554299874.905 * * [misc]simplify: iters left: 5 (86 enodes) 1554299874.933 * * [misc]simplify: iters left: 4 (156 enodes) 1554299874.972 * * [misc]simplify: iters left: 3 (369 enodes) 1554299875.103 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299875.104 * * [misc]simplify: Extracting #1: cost 66 inf + 0 1554299875.104 * * [misc]simplify: Extracting #2: cost 248 inf + 0 1554299875.105 * * [misc]simplify: Extracting #3: cost 272 inf + 116 1554299875.107 * * [misc]simplify: Extracting #4: cost 228 inf + 6017 1554299875.112 * * [misc]simplify: Extracting #5: cost 129 inf + 34264 1554299875.130 * * [misc]simplify: Extracting #6: cost 14 inf + 84820 1554299875.153 * * [misc]simplify: Extracting #7: cost 0 inf + 92935 1554299875.183 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299875.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299875.183 * * * * [misc]progress: [ 43 / 621 ] simplifiying candidate # 1554299875.183 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299875.183 * * [misc]simplify: iters left: 6 (21 enodes) 1554299875.189 * * [misc]simplify: iters left: 5 (85 enodes) 1554299875.202 * * [misc]simplify: iters left: 4 (152 enodes) 1554299875.260 * * [misc]simplify: iters left: 3 (349 enodes) 1554299875.418 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299875.418 * * [misc]simplify: Extracting #1: cost 58 inf + 0 1554299875.418 * * [misc]simplify: Extracting #2: cost 232 inf + 0 1554299875.419 * * [misc]simplify: Extracting #3: cost 253 inf + 338 1554299875.424 * * [misc]simplify: Extracting #4: cost 196 inf + 10462 1554299875.434 * * [misc]simplify: Extracting #5: cost 63 inf + 57738 1554299875.457 * * [misc]simplify: Extracting #6: cost 3 inf + 83850 1554299875.474 * * [misc]simplify: Extracting #7: cost 0 inf + 85116 1554299875.497 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299875.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299875.497 * * * * [misc]progress: [ 44 / 621 ] simplifiying candidate # 1554299875.497 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299875.498 * * [misc]simplify: iters left: 6 (20 enodes) 1554299875.504 * * [misc]simplify: iters left: 5 (80 enodes) 1554299875.518 * * [misc]simplify: iters left: 4 (133 enodes) 1554299875.554 * * [misc]simplify: iters left: 3 (287 enodes) 1554299875.649 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299875.650 * * [misc]simplify: Extracting #1: cost 49 inf + 0 1554299875.651 * * [misc]simplify: Extracting #2: cost 191 inf + 0 1554299875.652 * * [misc]simplify: Extracting #3: cost 217 inf + 186 1554299875.655 * * [misc]simplify: Extracting #4: cost 183 inf + 5210 1554299875.666 * * [misc]simplify: Extracting #5: cost 59 inf + 47058 1554299875.679 * * [misc]simplify: Extracting #6: cost 1 inf + 70930 1554299875.699 * * [misc]simplify: Extracting #7: cost 0 inf + 69734 1554299875.712 * [exit]simplify: Simplified to (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (+ (* -1/2 (log PI)) (* (/ k 2) (log PI)))) 1554299875.712 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (+ (* -1/2 (log PI)) (* (/ k 2) (log PI)))))) 1554299875.713 * * * * [misc]progress: [ 45 / 621 ] simplifiying candidate # 1554299875.713 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299875.713 * * [misc]simplify: iters left: 6 (22 enodes) 1554299875.719 * * [misc]simplify: iters left: 5 (94 enodes) 1554299875.742 * * [misc]simplify: iters left: 4 (164 enodes) 1554299875.787 * * [misc]simplify: iters left: 3 (380 enodes) 1554299875.952 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299875.952 * * [misc]simplify: Extracting #1: cost 71 inf + 0 1554299875.953 * * [misc]simplify: Extracting #2: cost 261 inf + 0 1554299875.954 * * [misc]simplify: Extracting #3: cost 279 inf + 669 1554299875.956 * * [misc]simplify: Extracting #4: cost 235 inf + 7883 1554299875.976 * * [misc]simplify: Extracting #5: cost 98 inf + 52952 1554299876.014 * * [misc]simplify: Extracting #6: cost 0 inf + 97564 1554299876.055 * * [misc]simplify: Extracting #7: cost 0 inf + 97427 1554299876.094 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299876.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1554299876.094 * * * * [misc]progress: [ 46 / 621 ] simplifiying candidate # 1554299876.095 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299876.095 * * [misc]simplify: iters left: 6 (22 enodes) 1554299876.102 * * [misc]simplify: iters left: 5 (93 enodes) 1554299876.119 * * [misc]simplify: iters left: 4 (160 enodes) 1554299876.172 * * [misc]simplify: iters left: 3 (358 enodes) 1554299876.322 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299876.322 * * [misc]simplify: Extracting #1: cost 55 inf + 0 1554299876.323 * * [misc]simplify: Extracting #2: cost 243 inf + 0 1554299876.325 * * [misc]simplify: Extracting #3: cost 264 inf + 435 1554299876.329 * * [misc]simplify: Extracting #4: cost 211 inf + 10597 1554299876.346 * * [misc]simplify: Extracting #5: cost 81 inf + 54929 1554299876.378 * * [misc]simplify: Extracting #6: cost 8 inf + 86594 1554299876.413 * * [misc]simplify: Extracting #7: cost 0 inf + 89949 1554299876.452 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299876.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299876.452 * * * * [misc]progress: [ 47 / 621 ] simplifiying candidate # 1554299876.453 * [enter]simplify: Simplifying (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299876.453 * * [misc]simplify: iters left: 6 (21 enodes) 1554299876.465 * * [misc]simplify: iters left: 5 (87 enodes) 1554299876.493 * * [misc]simplify: iters left: 4 (138 enodes) 1554299876.544 * * [misc]simplify: iters left: 3 (293 enodes) 1554299876.659 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299876.659 * * [misc]simplify: Extracting #1: cost 45 inf + 0 1554299876.659 * * [misc]simplify: Extracting #2: cost 200 inf + 0 1554299876.660 * * [misc]simplify: Extracting #3: cost 229 inf + 75 1554299876.662 * * [misc]simplify: Extracting #4: cost 194 inf + 4517 1554299876.669 * * [misc]simplify: Extracting #5: cost 93 inf + 30481 1554299876.680 * * [misc]simplify: Extracting #6: cost 14 inf + 63910 1554299876.697 * * [misc]simplify: Extracting #7: cost 0 inf + 71289 1554299876.723 * [exit]simplify: Simplified to (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- (log PI)) (- 1/2 (/ k 2)))) 1554299876.723 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- (log PI)) (- 1/2 (/ k 2)))))) 1554299876.723 * * * * [misc]progress: [ 48 / 621 ] simplifiying candidate # 1554299876.723 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log PI) 1/2))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299876.723 * * [misc]simplify: iters left: 6 (20 enodes) 1554299876.729 * * [misc]simplify: iters left: 5 (85 enodes) 1554299876.743 * * [misc]simplify: iters left: 4 (148 enodes) 1554299876.785 * * [misc]simplify: iters left: 3 (257 enodes) 1554299876.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299876.853 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554299876.853 * * [misc]simplify: Extracting #2: cost 144 inf + 0 1554299876.854 * * [misc]simplify: Extracting #3: cost 157 inf + 295 1554299876.855 * * [misc]simplify: Extracting #4: cost 123 inf + 4509 1554299876.860 * * [misc]simplify: Extracting #5: cost 35 inf + 30670 1554299876.869 * * [misc]simplify: Extracting #6: cost 0 inf + 46199 1554299876.878 * * [misc]simplify: Extracting #7: cost 0 inf + 46039 1554299876.887 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299876.887 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299876.887 * * * * [misc]progress: [ 49 / 621 ] simplifiying candidate # 1554299876.887 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log PI) 1/2))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299876.887 * * [misc]simplify: iters left: 6 (21 enodes) 1554299876.893 * * [misc]simplify: iters left: 5 (86 enodes) 1554299876.908 * * [misc]simplify: iters left: 4 (144 enodes) 1554299876.961 * * [misc]simplify: iters left: 3 (239 enodes) 1554299877.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299877.084 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554299877.084 * * [misc]simplify: Extracting #2: cost 143 inf + 0 1554299877.085 * * [misc]simplify: Extracting #3: cost 155 inf + 393 1554299877.087 * * [misc]simplify: Extracting #4: cost 125 inf + 4150 1554299877.094 * * [misc]simplify: Extracting #5: cost 50 inf + 25662 1554299877.103 * * [misc]simplify: Extracting #6: cost 1 inf + 45282 1554299877.112 * * [misc]simplify: Extracting #7: cost 0 inf + 45857 1554299877.120 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1554299877.121 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2)))))) 1554299877.121 * * * * [misc]progress: [ 50 / 621 ] simplifiying candidate # 1554299877.121 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log PI) 1/2))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299877.121 * * [misc]simplify: iters left: 6 (20 enodes) 1554299877.126 * * [misc]simplify: iters left: 5 (81 enodes) 1554299877.140 * * [misc]simplify: iters left: 4 (125 enodes) 1554299877.171 * * [misc]simplify: iters left: 3 (194 enodes) 1554299877.227 * * [misc]simplify: iters left: 2 (456 enodes) 1554299877.572 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299877.573 * * [misc]simplify: Extracting #1: cost 88 inf + 0 1554299877.574 * * [misc]simplify: Extracting #2: cost 357 inf + 0 1554299877.578 * * [misc]simplify: Extracting #3: cost 367 inf + 751 1554299877.593 * * [misc]simplify: Extracting #4: cost 238 inf + 39702 1554299877.631 * * [misc]simplify: Extracting #5: cost 37 inf + 123447 1554299877.665 * * [misc]simplify: Extracting #6: cost 1 inf + 140062 1554299877.711 * * [misc]simplify: Extracting #7: cost 0 inf + 140477 1554299877.742 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299877.742 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299877.743 * * * * [misc]progress: [ 51 / 621 ] simplifiying candidate # 1554299877.743 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299877.743 * * [misc]simplify: iters left: 6 (21 enodes) 1554299877.753 * * [misc]simplify: iters left: 5 (84 enodes) 1554299877.768 * * [misc]simplify: iters left: 4 (144 enodes) 1554299877.799 * * [misc]simplify: iters left: 3 (261 enodes) 1554299877.928 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299877.929 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554299877.929 * * [misc]simplify: Extracting #2: cost 145 inf + 0 1554299877.931 * * [misc]simplify: Extracting #3: cost 157 inf + 507 1554299877.932 * * [misc]simplify: Extracting #4: cost 125 inf + 4176 1554299877.938 * * [misc]simplify: Extracting #5: cost 56 inf + 25534 1554299877.947 * * [misc]simplify: Extracting #6: cost 4 inf + 45376 1554299877.956 * * [misc]simplify: Extracting #7: cost 0 inf + 46098 1554299877.965 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299877.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299877.965 * * * * [misc]progress: [ 52 / 621 ] simplifiying candidate # 1554299877.966 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299877.966 * * [misc]simplify: iters left: 6 (21 enodes) 1554299877.972 * * [misc]simplify: iters left: 5 (83 enodes) 1554299877.999 * * [misc]simplify: iters left: 4 (140 enodes) 1554299878.049 * * [misc]simplify: iters left: 3 (241 enodes) 1554299878.174 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299878.174 * * [misc]simplify: Extracting #1: cost 39 inf + 0 1554299878.175 * * [misc]simplify: Extracting #2: cost 144 inf + 0 1554299878.176 * * [misc]simplify: Extracting #3: cost 155 inf + 478 1554299878.178 * * [misc]simplify: Extracting #4: cost 131 inf + 3669 1554299878.186 * * [misc]simplify: Extracting #5: cost 60 inf + 29382 1554299878.196 * * [misc]simplify: Extracting #6: cost 8 inf + 51241 1554299878.205 * * [misc]simplify: Extracting #7: cost 0 inf + 48066 1554299878.214 * * [misc]simplify: Extracting #8: cost 0 inf + 46556 1554299878.229 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1554299878.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2)))))) 1554299878.230 * * * * [misc]progress: [ 53 / 621 ] simplifiying candidate # 1554299878.230 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299878.230 * * [misc]simplify: iters left: 6 (20 enodes) 1554299878.240 * * [misc]simplify: iters left: 5 (78 enodes) 1554299878.263 * * [misc]simplify: iters left: 4 (121 enodes) 1554299878.290 * * [misc]simplify: iters left: 3 (195 enodes) 1554299878.361 * * [misc]simplify: iters left: 2 (462 enodes) 1554299878.719 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299878.719 * * [misc]simplify: Extracting #1: cost 96 inf + 0 1554299878.721 * * [misc]simplify: Extracting #2: cost 372 inf + 0 1554299878.725 * * [misc]simplify: Extracting #3: cost 373 inf + 1923 1554299878.738 * * [misc]simplify: Extracting #4: cost 219 inf + 59488 1554299878.765 * * [misc]simplify: Extracting #5: cost 19 inf + 146136 1554299878.823 * * [misc]simplify: Extracting #6: cost 0 inf + 149677 1554299878.885 * * [misc]simplify: Extracting #7: cost 0 inf + 149597 1554299878.921 * [exit]simplify: Simplified to (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299878.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299878.921 * * * * [misc]progress: [ 54 / 621 ] simplifiying candidate # 1554299878.921 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299878.922 * * [misc]simplify: iters left: 6 (22 enodes) 1554299878.928 * * [misc]simplify: iters left: 5 (92 enodes) 1554299878.948 * * [misc]simplify: iters left: 4 (152 enodes) 1554299879.001 * * [misc]simplify: iters left: 3 (270 enodes) 1554299879.066 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299879.066 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299879.067 * * [misc]simplify: Extracting #2: cost 135 inf + 0 1554299879.067 * * [misc]simplify: Extracting #3: cost 152 inf + 313 1554299879.068 * * [misc]simplify: Extracting #4: cost 118 inf + 4466 1554299879.072 * * [misc]simplify: Extracting #5: cost 45 inf + 25316 1554299879.080 * * [misc]simplify: Extracting #6: cost 0 inf + 42448 1554299879.089 * * [misc]simplify: Extracting #7: cost 0 inf + 42058 1554299879.105 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))) 1554299879.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k))))) 1554299879.105 * * * * [misc]progress: [ 55 / 621 ] simplifiying candidate # 1554299879.106 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299879.106 * * [misc]simplify: iters left: 6 (22 enodes) 1554299879.113 * * [misc]simplify: iters left: 5 (91 enodes) 1554299879.130 * * [misc]simplify: iters left: 4 (148 enodes) 1554299879.166 * * [misc]simplify: iters left: 3 (252 enodes) 1554299879.249 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299879.250 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299879.250 * * [misc]simplify: Extracting #2: cost 143 inf + 0 1554299879.251 * * [misc]simplify: Extracting #3: cost 157 inf + 213 1554299879.251 * * [misc]simplify: Extracting #4: cost 138 inf + 2399 1554299879.255 * * [misc]simplify: Extracting #5: cost 52 inf + 26260 1554299879.264 * * [misc]simplify: Extracting #6: cost 2 inf + 44868 1554299879.277 * * [misc]simplify: Extracting #7: cost 0 inf + 45420 1554299879.295 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299879.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299879.295 * * * * [misc]progress: [ 56 / 621 ] simplifiying candidate # 1554299879.295 * [enter]simplify: Simplifying (- (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ 1 (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299879.295 * * [misc]simplify: iters left: 6 (21 enodes) 1554299879.306 * * [misc]simplify: iters left: 5 (85 enodes) 1554299879.330 * * [misc]simplify: iters left: 4 (126 enodes) 1554299879.354 * * [misc]simplify: iters left: 3 (201 enodes) 1554299879.401 * * [misc]simplify: iters left: 2 (463 enodes) 1554299879.723 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299879.723 * * [misc]simplify: Extracting #1: cost 91 inf + 0 1554299879.724 * * [misc]simplify: Extracting #2: cost 362 inf + 1 1554299879.725 * * [misc]simplify: Extracting #3: cost 372 inf + 1000 1554299879.729 * * [misc]simplify: Extracting #4: cost 276 inf + 26252 1554299879.760 * * [misc]simplify: Extracting #5: cost 73 inf + 115205 1554299879.796 * * [misc]simplify: Extracting #6: cost 0 inf + 142752 1554299879.852 * * [misc]simplify: Extracting #7: cost 0 inf + 142182 1554299879.909 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554299879.909 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (log (* n 2)) (- 1/2 (/ k 2)))))) 1554299879.909 * * * * [misc]progress: [ 57 / 621 ] simplifiying candidate # 1554299879.909 * [enter]simplify: Simplifying (- (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (* (log PI) (- (/ k 2))))) 1554299879.910 * * [misc]simplify: iters left: 6 (21 enodes) 1554299879.921 * * [misc]simplify: iters left: 5 (84 enodes) 1554299879.950 * * [misc]simplify: iters left: 4 (138 enodes) 1554299879.995 * * [misc]simplify: iters left: 3 (241 enodes) 1554299880.066 * * [misc]simplify: iters left: 2 (417 enodes) 1554299880.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299880.300 * * [misc]simplify: Extracting #1: cost 51 inf + 0 1554299880.300 * * [misc]simplify: Extracting #2: cost 209 inf + 1 1554299880.301 * * [misc]simplify: Extracting #3: cost 220 inf + 1166 1554299880.303 * * [misc]simplify: Extracting #4: cost 171 inf + 10095 1554299880.314 * * [misc]simplify: Extracting #5: cost 39 inf + 59129 1554299880.328 * * [misc]simplify: Extracting #6: cost 0 inf + 70256 1554299880.345 * * [misc]simplify: Extracting #7: cost 0 inf + 69506 1554299880.359 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299880.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1554299880.359 * * * * [misc]progress: [ 58 / 621 ] simplifiying candidate # 1554299880.359 * [enter]simplify: Simplifying (- (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (- (log (sqrt k)) (log (pow PI (- (/ k 2)))))) 1554299880.359 * * [misc]simplify: iters left: 6 (21 enodes) 1554299880.365 * * [misc]simplify: iters left: 5 (83 enodes) 1554299880.380 * * [misc]simplify: iters left: 4 (134 enodes) 1554299880.423 * * [misc]simplify: iters left: 3 (222 enodes) 1554299880.501 * * [misc]simplify: iters left: 2 (401 enodes) 1554299880.702 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299880.702 * * [misc]simplify: Extracting #1: cost 58 inf + 0 1554299880.703 * * [misc]simplify: Extracting #2: cost 229 inf + 1 1554299880.704 * * [misc]simplify: Extracting #3: cost 243 inf + 407 1554299880.706 * * [misc]simplify: Extracting #4: cost 200 inf + 8748 1554299880.716 * * [misc]simplify: Extracting #5: cost 120 inf + 34525 1554299880.743 * * [misc]simplify: Extracting #6: cost 11 inf + 73279 1554299880.773 * * [misc]simplify: Extracting #7: cost 0 inf + 76067 1554299880.804 * [exit]simplify: Simplified to (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1554299880.804 * [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)))))) 1554299880.804 * * * * [misc]progress: [ 59 / 621 ] simplifiying candidate # 1554299880.804 * [enter]simplify: Simplifying (- (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (log (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299880.805 * * [misc]simplify: iters left: 6 (20 enodes) 1554299880.814 * * [misc]simplify: iters left: 5 (77 enodes) 1554299880.837 * * [misc]simplify: iters left: 4 (114 enodes) 1554299880.874 * * [misc]simplify: iters left: 3 (179 enodes) 1554299880.911 * * [misc]simplify: iters left: 2 (317 enodes) 1554299881.049 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299881.049 * * [misc]simplify: Extracting #1: cost 52 inf + 0 1554299881.049 * * [misc]simplify: Extracting #2: cost 179 inf + 1 1554299881.050 * * [misc]simplify: Extracting #3: cost 197 inf + 313 1554299881.052 * * [misc]simplify: Extracting #4: cost 154 inf + 9545 1554299881.058 * * [misc]simplify: Extracting #5: cost 51 inf + 50951 1554299881.080 * * [misc]simplify: Extracting #6: cost 0 inf + 65776 1554299881.103 * * [misc]simplify: Extracting #7: cost 0 inf + 60389 1554299881.125 * [exit]simplify: Simplified to (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1554299881.126 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2)))))) 1554299881.126 * * * * [misc]progress: [ 60 / 621 ] simplifiying candidate # 1554299881.126 * * * * [misc]progress: [ 61 / 621 ] simplifiying candidate # 1554299881.126 * * * * [misc]progress: [ 62 / 621 ] simplifiying candidate # 1554299881.126 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ 1 (pow PI 1/2)) (/ 1 (pow PI 1/2))) (/ 1 (pow PI 1/2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299881.126 * * [misc]simplify: iters left: 6 (26 enodes) 1554299881.133 * * [misc]simplify: iters left: 5 (111 enodes) 1554299881.156 * * [misc]simplify: iters left: 4 (273 enodes) 1554299881.282 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299881.282 * * [misc]simplify: Extracting #1: cost 168 inf + 0 1554299881.284 * * [misc]simplify: Extracting #2: cost 449 inf + 1 1554299881.286 * * [misc]simplify: Extracting #3: cost 448 inf + 2525 1554299881.296 * * [misc]simplify: Extracting #4: cost 364 inf + 38343 1554299881.326 * * [misc]simplify: Extracting #5: cost 208 inf + 139759 1554299881.371 * * [misc]simplify: Extracting #6: cost 13 inf + 285298 1554299881.447 * * [misc]simplify: Extracting #7: cost 0 inf + 289174 1554299881.504 * [exit]simplify: Simplified to (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (* (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (* k (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (pow PI (- (/ k 2))))) 1554299881.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (* (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (* k (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (pow PI (- (/ k 2))))))) 1554299881.504 * * * * [misc]progress: [ 63 / 621 ] simplifiying candidate # 1554299881.504 * [enter]simplify: Simplifying (/ (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ 1 (pow PI 1/2)) (/ 1 (pow PI 1/2))) (/ 1 (pow PI 1/2)))) (* (* (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299881.505 * * [misc]simplify: iters left: 6 (24 enodes) 1554299881.511 * * [misc]simplify: iters left: 5 (105 enodes) 1554299881.530 * * [misc]simplify: iters left: 4 (238 enodes) 1554299881.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299881.641 * * [misc]simplify: Extracting #1: cost 96 inf + 0 1554299881.641 * * [misc]simplify: Extracting #2: cost 271 inf + 0 1554299881.642 * * [misc]simplify: Extracting #3: cost 286 inf + 453 1554299881.645 * * [misc]simplify: Extracting #4: cost 251 inf + 10981 1554299881.651 * * [misc]simplify: Extracting #5: cost 191 inf + 40668 1554299881.669 * * [misc]simplify: Extracting #6: cost 92 inf + 114044 1554299881.707 * * [misc]simplify: Extracting #7: cost 4 inf + 182048 1554299881.744 * * [misc]simplify: Extracting #8: cost 0 inf + 184853 1554299881.777 * [exit]simplify: Simplified to (/ (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299881.777 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299881.777 * * * * [misc]progress: [ 64 / 621 ] simplifiying candidate # 1554299881.778 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299881.778 * * [misc]simplify: iters left: 6 (24 enodes) 1554299881.791 * * [misc]simplify: iters left: 5 (99 enodes) 1554299881.826 * * [misc]simplify: iters left: 4 (245 enodes) 1554299881.965 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299881.965 * * [misc]simplify: Extracting #1: cost 147 inf + 0 1554299881.967 * * [misc]simplify: Extracting #2: cost 403 inf + 2 1554299881.968 * * [misc]simplify: Extracting #3: cost 406 inf + 2223 1554299881.977 * * [misc]simplify: Extracting #4: cost 263 inf + 81466 1554299882.035 * * [misc]simplify: Extracting #5: cost 24 inf + 248828 1554299882.114 * * [misc]simplify: Extracting #6: cost 0 inf + 266021 1554299882.167 * [exit]simplify: Simplified to (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) k) (pow PI (- (/ k 2)))))) 1554299882.167 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) k) (pow PI (- (/ k 2)))))))) 1554299882.167 * * * * [misc]progress: [ 65 / 621 ] simplifiying candidate # 1554299882.168 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (* (* (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299882.168 * * [misc]simplify: iters left: 6 (22 enodes) 1554299882.180 * * [misc]simplify: iters left: 5 (96 enodes) 1554299882.556 * * [misc]simplify: iters left: 4 (232 enodes) 1554299882.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299882.657 * * [misc]simplify: Extracting #1: cost 105 inf + 0 1554299882.658 * * [misc]simplify: Extracting #2: cost 295 inf + 2 1554299882.659 * * [misc]simplify: Extracting #3: cost 306 inf + 617 1554299882.660 * * [misc]simplify: Extracting #4: cost 282 inf + 5173 1554299882.664 * * [misc]simplify: Extracting #5: cost 231 inf + 31887 1554299882.697 * * [misc]simplify: Extracting #6: cost 79 inf + 146375 1554299882.756 * * [misc]simplify: Extracting #7: cost 0 inf + 210097 1554299882.812 * * [misc]simplify: Extracting #8: cost 0 inf + 209816 1554299882.868 * [exit]simplify: Simplified to (* (* (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ k (pow PI (/ (- k) 2)))) (pow PI (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1554299882.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ k (pow PI (/ (- k) 2)))) (pow PI (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1554299882.868 * * * * [misc]progress: [ 66 / 621 ] simplifiying candidate # 1554299882.868 * * * * [misc]progress: [ 67 / 621 ] simplifiying candidate # 1554299882.868 * * * * [misc]progress: [ 68 / 621 ] simplifiying candidate # 1554299882.868 * * * * [misc]progress: [ 69 / 621 ] simplifiying candidate # 1554299882.868 * * * * [misc]progress: [ 70 / 621 ] simplifiying candidate # 1554299882.869 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299882.869 * * [misc]simplify: iters left: 6 (22 enodes) 1554299882.880 * * [misc]simplify: iters left: 5 (81 enodes) 1554299882.901 * * [misc]simplify: iters left: 4 (102 enodes) 1554299882.926 * * [misc]simplify: iters left: 3 (116 enodes) 1554299882.953 * * [misc]simplify: iters left: 2 (120 enodes) 1554299882.979 * * [misc]simplify: iters left: 1 (122 enodes) 1554299883.005 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299883.005 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299883.005 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554299883.005 * * [misc]simplify: Extracting #3: cost 31 inf + 0 1554299883.005 * * [misc]simplify: Extracting #4: cost 42 inf + 1 1554299883.005 * * [misc]simplify: Extracting #5: cost 42 inf + 250 1554299883.006 * * [misc]simplify: Extracting #6: cost 39 inf + 375 1554299883.006 * * [misc]simplify: Extracting #7: cost 29 inf + 1792 1554299883.009 * * [misc]simplify: Extracting #8: cost 20 inf + 4980 1554299883.010 * * [misc]simplify: Extracting #9: cost 16 inf + 6554 1554299883.013 * * [misc]simplify: Extracting #10: cost 6 inf + 15008 1554299883.016 * * [misc]simplify: Extracting #11: cost 0 inf + 20586 1554299883.020 * [exit]simplify: Simplified to (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554299883.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299883.021 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299883.021 * * [misc]simplify: iters left: 6 (20 enodes) 1554299883.029 * * [misc]simplify: iters left: 5 (69 enodes) 1554299883.046 * * [misc]simplify: iters left: 4 (75 enodes) 1554299883.057 * * [misc]simplify: iters left: 3 (82 enodes) 1554299883.067 * * [misc]simplify: iters left: 2 (83 enodes) 1554299883.083 * * [misc]simplify: iters left: 1 (85 enodes) 1554299883.105 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299883.105 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299883.105 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299883.105 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299883.105 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554299883.105 * * [misc]simplify: Extracting #5: cost 32 inf + 4 1554299883.106 * * [misc]simplify: Extracting #6: cost 26 inf + 335 1554299883.106 * * [misc]simplify: Extracting #7: cost 12 inf + 2863 1554299883.108 * * [misc]simplify: Extracting #8: cost 4 inf + 5484 1554299883.109 * * [misc]simplify: Extracting #9: cost 2 inf + 6390 1554299883.110 * * [misc]simplify: Extracting #10: cost 0 inf + 8280 1554299883.111 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299883.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299883.111 * * * * [misc]progress: [ 71 / 621 ] simplifiying candidate # 1554299883.111 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299883.111 * * [misc]simplify: iters left: 6 (21 enodes) 1554299883.116 * * [misc]simplify: iters left: 5 (74 enodes) 1554299883.129 * * [misc]simplify: iters left: 4 (84 enodes) 1554299883.144 * * [misc]simplify: iters left: 3 (94 enodes) 1554299883.169 * * [misc]simplify: iters left: 2 (95 enodes) 1554299883.193 * * [misc]simplify: iters left: 1 (97 enodes) 1554299883.218 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299883.218 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299883.218 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299883.218 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1554299883.219 * * [misc]simplify: Extracting #4: cost 34 inf + 1 1554299883.219 * * [misc]simplify: Extracting #5: cost 38 inf + 4 1554299883.219 * * [misc]simplify: Extracting #6: cost 32 inf + 253 1554299883.220 * * [misc]simplify: Extracting #7: cost 20 inf + 2076 1554299883.221 * * [misc]simplify: Extracting #8: cost 11 inf + 5515 1554299883.223 * * [misc]simplify: Extracting #9: cost 9 inf + 6181 1554299883.225 * * [misc]simplify: Extracting #10: cost 2 inf + 11040 1554299883.228 * * [misc]simplify: Extracting #11: cost 0 inf + 12890 1554299883.231 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299883.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299883.231 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299883.232 * * [misc]simplify: iters left: 6 (20 enodes) 1554299883.241 * * [misc]simplify: iters left: 5 (69 enodes) 1554299883.263 * * [misc]simplify: iters left: 4 (75 enodes) 1554299883.285 * * [misc]simplify: iters left: 3 (82 enodes) 1554299883.307 * * [misc]simplify: iters left: 2 (83 enodes) 1554299883.329 * * [misc]simplify: iters left: 1 (85 enodes) 1554299883.342 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299883.342 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299883.342 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299883.343 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299883.343 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554299883.343 * * [misc]simplify: Extracting #5: cost 32 inf + 4 1554299883.343 * * [misc]simplify: Extracting #6: cost 26 inf + 335 1554299883.343 * * [misc]simplify: Extracting #7: cost 12 inf + 2863 1554299883.344 * * [misc]simplify: Extracting #8: cost 4 inf + 5484 1554299883.345 * * [misc]simplify: Extracting #9: cost 2 inf + 6310 1554299883.346 * * [misc]simplify: Extracting #10: cost 0 inf + 8120 1554299883.346 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299883.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299883.347 * * * * [misc]progress: [ 72 / 621 ] simplifiying candidate # 1554299883.347 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299883.347 * * [misc]simplify: iters left: 6 (24 enodes) 1554299883.353 * * [misc]simplify: iters left: 5 (91 enodes) 1554299883.370 * * [misc]simplify: iters left: 4 (143 enodes) 1554299883.410 * * [misc]simplify: iters left: 3 (255 enodes) 1554299883.463 * * [misc]simplify: iters left: 2 (408 enodes) 1554299883.623 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299883.624 * * [misc]simplify: Extracting #1: cost 52 inf + 0 1554299883.624 * * [misc]simplify: Extracting #2: cost 93 inf + 0 1554299883.624 * * [misc]simplify: Extracting #3: cost 104 inf + 0 1554299883.625 * * [misc]simplify: Extracting #4: cost 111 inf + 3 1554299883.625 * * [misc]simplify: Extracting #5: cost 102 inf + 784 1554299883.626 * * [misc]simplify: Extracting #6: cost 89 inf + 2851 1554299883.631 * * [misc]simplify: Extracting #7: cost 45 inf + 37528 1554299883.648 * * [misc]simplify: Extracting #8: cost 1 inf + 77858 1554299883.675 * * [misc]simplify: Extracting #9: cost 0 inf + 78473 1554299883.701 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299883.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299883.702 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299883.702 * * [misc]simplify: iters left: 6 (21 enodes) 1554299883.711 * * [misc]simplify: iters left: 5 (74 enodes) 1554299883.730 * * [misc]simplify: iters left: 4 (85 enodes) 1554299883.754 * * [misc]simplify: iters left: 3 (96 enodes) 1554299883.779 * * [misc]simplify: iters left: 2 (97 enodes) 1554299883.807 * * [misc]simplify: iters left: 1 (99 enodes) 1554299883.833 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299883.833 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299883.833 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299883.833 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299883.833 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299883.833 * * [misc]simplify: Extracting #5: cost 29 inf + 658 1554299883.834 * * [misc]simplify: Extracting #6: cost 23 inf + 990 1554299883.835 * * [misc]simplify: Extracting #7: cost 15 inf + 3108 1554299883.837 * * [misc]simplify: Extracting #8: cost 4 inf + 9418 1554299883.839 * * [misc]simplify: Extracting #9: cost 0 inf + 11882 1554299883.842 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))) 1554299883.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))))) 1554299883.842 * * * * [misc]progress: [ 73 / 621 ] simplifiying candidate # 1554299883.843 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299883.843 * * [misc]simplify: iters left: 6 (23 enodes) 1554299883.854 * * [misc]simplify: iters left: 5 (84 enodes) 1554299883.880 * * [misc]simplify: iters left: 4 (114 enodes) 1554299883.916 * * [misc]simplify: iters left: 3 (180 enodes) 1554299883.976 * * [misc]simplify: iters left: 2 (235 enodes) 1554299884.049 * * [misc]simplify: iters left: 1 (266 enodes) 1554299884.099 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299884.099 * * [misc]simplify: Extracting #1: cost 26 inf + 0 1554299884.100 * * [misc]simplify: Extracting #2: cost 53 inf + 0 1554299884.100 * * [misc]simplify: Extracting #3: cost 64 inf + 0 1554299884.100 * * [misc]simplify: Extracting #4: cost 70 inf + 165 1554299884.101 * * [misc]simplify: Extracting #5: cost 68 inf + 572 1554299884.102 * * [misc]simplify: Extracting #6: cost 57 inf + 1311 1554299884.103 * * [misc]simplify: Extracting #7: cost 45 inf + 4959 1554299884.105 * * [misc]simplify: Extracting #8: cost 37 inf + 8667 1554299884.110 * * [misc]simplify: Extracting #9: cost 23 inf + 19197 1554299884.121 * * [misc]simplify: Extracting #10: cost 2 inf + 36702 1554299884.134 * * [misc]simplify: Extracting #11: cost 0 inf + 38262 1554299884.146 * [exit]simplify: Simplified to (* (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299884.146 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299884.147 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299884.147 * * [misc]simplify: iters left: 6 (21 enodes) 1554299884.157 * * [misc]simplify: iters left: 5 (74 enodes) 1554299884.178 * * [misc]simplify: iters left: 4 (85 enodes) 1554299884.201 * * [misc]simplify: iters left: 3 (96 enodes) 1554299884.213 * * [misc]simplify: iters left: 2 (97 enodes) 1554299884.226 * * [misc]simplify: iters left: 1 (99 enodes) 1554299884.251 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299884.251 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299884.251 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299884.251 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299884.251 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299884.251 * * [misc]simplify: Extracting #5: cost 29 inf + 658 1554299884.252 * * [misc]simplify: Extracting #6: cost 23 inf + 990 1554299884.253 * * [misc]simplify: Extracting #7: cost 15 inf + 3108 1554299884.255 * * [misc]simplify: Extracting #8: cost 4 inf + 9258 1554299884.257 * * [misc]simplify: Extracting #9: cost 0 inf + 11562 1554299884.259 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))) 1554299884.260 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))))) 1554299884.260 * * * * [misc]progress: [ 74 / 621 ] simplifiying candidate # 1554299884.260 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299884.260 * * [misc]simplify: iters left: 6 (20 enodes) 1554299884.270 * * [misc]simplify: iters left: 5 (72 enodes) 1554299884.287 * * [misc]simplify: iters left: 4 (104 enodes) 1554299884.305 * * [misc]simplify: iters left: 3 (145 enodes) 1554299884.347 * * [misc]simplify: iters left: 2 (180 enodes) 1554299884.408 * * [misc]simplify: iters left: 1 (212 enodes) 1554299884.464 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299884.464 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299884.464 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554299884.464 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299884.464 * * [misc]simplify: Extracting #4: cost 44 inf + 2 1554299884.465 * * [misc]simplify: Extracting #5: cost 46 inf + 166 1554299884.465 * * [misc]simplify: Extracting #6: cost 38 inf + 1060 1554299884.465 * * [misc]simplify: Extracting #7: cost 29 inf + 2424 1554299884.466 * * [misc]simplify: Extracting #8: cost 16 inf + 7114 1554299884.469 * * [misc]simplify: Extracting #9: cost 1 inf + 16779 1554299884.476 * * [misc]simplify: Extracting #10: cost 0 inf + 17474 1554299884.483 * [exit]simplify: Simplified to (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k)))) 1554299884.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299884.484 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299884.484 * * [misc]simplify: iters left: 6 (20 enodes) 1554299884.492 * * [misc]simplify: iters left: 5 (71 enodes) 1554299884.503 * * [misc]simplify: iters left: 4 (82 enodes) 1554299884.515 * * [misc]simplify: iters left: 3 (93 enodes) 1554299884.530 * * [misc]simplify: iters left: 2 (94 enodes) 1554299884.546 * * [misc]simplify: iters left: 1 (96 enodes) 1554299884.558 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299884.558 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299884.559 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299884.559 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299884.559 * * [misc]simplify: Extracting #4: cost 33 inf + 87 1554299884.559 * * [misc]simplify: Extracting #5: cost 25 inf + 702 1554299884.559 * * [misc]simplify: Extracting #6: cost 19 inf + 1365 1554299884.560 * * [misc]simplify: Extracting #7: cost 8 inf + 4976 1554299884.561 * * [misc]simplify: Extracting #8: cost 2 inf + 9216 1554299884.562 * * [misc]simplify: Extracting #9: cost 0 inf + 10656 1554299884.563 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299884.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299884.563 * * * * [misc]progress: [ 75 / 621 ] simplifiying candidate # 1554299884.563 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299884.563 * * [misc]simplify: iters left: 6 (23 enodes) 1554299884.573 * * [misc]simplify: iters left: 5 (84 enodes) 1554299884.599 * * [misc]simplify: iters left: 4 (111 enodes) 1554299884.634 * * [misc]simplify: iters left: 3 (156 enodes) 1554299884.683 * * [misc]simplify: iters left: 2 (204 enodes) 1554299884.738 * * [misc]simplify: iters left: 1 (236 enodes) 1554299884.780 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299884.780 * * [misc]simplify: Extracting #1: cost 25 inf + 0 1554299884.781 * * [misc]simplify: Extracting #2: cost 51 inf + 0 1554299884.781 * * [misc]simplify: Extracting #3: cost 62 inf + 0 1554299884.781 * * [misc]simplify: Extracting #4: cost 68 inf + 125 1554299884.782 * * [misc]simplify: Extracting #5: cost 64 inf + 536 1554299884.783 * * [misc]simplify: Extracting #6: cost 58 inf + 827 1554299884.784 * * [misc]simplify: Extracting #7: cost 51 inf + 1996 1554299884.787 * * [misc]simplify: Extracting #8: cost 27 inf + 17369 1554299884.797 * * [misc]simplify: Extracting #9: cost 2 inf + 37518 1554299884.809 * * [misc]simplify: Extracting #10: cost 0 inf + 39528 1554299884.821 * [exit]simplify: Simplified to (* (/ (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (pow PI (/ (- k) 2)))) (sqrt (sqrt k))) (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (pow PI (/ (- k) 2))))) 1554299884.821 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (pow PI (/ (- k) 2)))) (sqrt (sqrt k))) (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (pow PI (/ (- k) 2))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299884.821 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299884.822 * * [misc]simplify: iters left: 6 (21 enodes) 1554299884.831 * * [misc]simplify: iters left: 5 (74 enodes) 1554299884.852 * * [misc]simplify: iters left: 4 (85 enodes) 1554299884.864 * * [misc]simplify: iters left: 3 (96 enodes) 1554299884.879 * * [misc]simplify: iters left: 2 (97 enodes) 1554299884.900 * * [misc]simplify: iters left: 1 (99 enodes) 1554299884.913 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299884.913 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299884.913 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299884.913 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299884.913 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299884.913 * * [misc]simplify: Extracting #5: cost 29 inf + 578 1554299884.914 * * [misc]simplify: Extracting #6: cost 23 inf + 910 1554299884.914 * * [misc]simplify: Extracting #7: cost 15 inf + 3028 1554299884.915 * * [misc]simplify: Extracting #8: cost 4 inf + 9218 1554299884.916 * * [misc]simplify: Extracting #9: cost 0 inf + 11562 1554299884.918 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) 1554299884.918 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))))) 1554299884.918 * * * * [misc]progress: [ 76 / 621 ] simplifiying candidate # 1554299884.918 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299884.918 * * [misc]simplify: iters left: 6 (22 enodes) 1554299884.923 * * [misc]simplify: iters left: 5 (79 enodes) 1554299884.935 * * [misc]simplify: iters left: 4 (98 enodes) 1554299884.952 * * [misc]simplify: iters left: 3 (124 enodes) 1554299884.975 * * [misc]simplify: iters left: 2 (138 enodes) 1554299884.993 * * [misc]simplify: iters left: 1 (145 enodes) 1554299885.030 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.030 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299885.030 * * [misc]simplify: Extracting #2: cost 34 inf + 0 1554299885.031 * * [misc]simplify: Extracting #3: cost 45 inf + 0 1554299885.031 * * [misc]simplify: Extracting #4: cost 53 inf + 3 1554299885.031 * * [misc]simplify: Extracting #5: cost 50 inf + 332 1554299885.032 * * [misc]simplify: Extracting #6: cost 41 inf + 868 1554299885.032 * * [misc]simplify: Extracting #7: cost 34 inf + 1996 1554299885.035 * * [misc]simplify: Extracting #8: cost 15 inf + 11888 1554299885.040 * * [misc]simplify: Extracting #9: cost 1 inf + 23178 1554299885.046 * * [misc]simplify: Extracting #10: cost 0 inf + 24043 1554299885.053 * [exit]simplify: Simplified to (* (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k)))) 1554299885.053 * [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))) (sqrt PI)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299885.053 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299885.053 * * [misc]simplify: iters left: 6 (21 enodes) 1554299885.063 * * [misc]simplify: iters left: 5 (74 enodes) 1554299885.085 * * [misc]simplify: iters left: 4 (85 enodes) 1554299885.110 * * [misc]simplify: iters left: 3 (96 enodes) 1554299885.135 * * [misc]simplify: iters left: 2 (97 enodes) 1554299885.159 * * [misc]simplify: iters left: 1 (99 enodes) 1554299885.171 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.171 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299885.171 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299885.171 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299885.171 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299885.171 * * [misc]simplify: Extracting #5: cost 29 inf + 578 1554299885.172 * * [misc]simplify: Extracting #6: cost 23 inf + 910 1554299885.172 * * [misc]simplify: Extracting #7: cost 15 inf + 3028 1554299885.173 * * [misc]simplify: Extracting #8: cost 4 inf + 9058 1554299885.174 * * [misc]simplify: Extracting #9: cost 0 inf + 11242 1554299885.176 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) 1554299885.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))))) 1554299885.176 * * * * [misc]progress: [ 77 / 621 ] simplifiying candidate # 1554299885.176 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299885.176 * * [misc]simplify: iters left: 6 (19 enodes) 1554299885.181 * * [misc]simplify: iters left: 5 (67 enodes) 1554299885.201 * * [misc]simplify: iters left: 4 (81 enodes) 1554299885.223 * * [misc]simplify: iters left: 3 (100 enodes) 1554299885.238 * * [misc]simplify: iters left: 2 (108 enodes) 1554299885.254 * * [misc]simplify: iters left: 1 (115 enodes) 1554299885.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.275 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299885.275 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299885.275 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554299885.275 * * [misc]simplify: Extracting #4: cost 30 inf + 2 1554299885.275 * * [misc]simplify: Extracting #5: cost 31 inf + 167 1554299885.275 * * [misc]simplify: Extracting #6: cost 26 inf + 579 1554299885.276 * * [misc]simplify: Extracting #7: cost 15 inf + 2905 1554299885.276 * * [misc]simplify: Extracting #8: cost 6 inf + 6734 1554299885.278 * * [misc]simplify: Extracting #9: cost 1 inf + 9809 1554299885.280 * * [misc]simplify: Extracting #10: cost 0 inf + 10464 1554299885.281 * [exit]simplify: Simplified to (/ (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) 1554299885.281 * [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))) (sqrt PI)))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299885.281 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299885.282 * * [misc]simplify: iters left: 6 (20 enodes) 1554299885.286 * * [misc]simplify: iters left: 5 (71 enodes) 1554299885.299 * * [misc]simplify: iters left: 4 (82 enodes) 1554299885.318 * * [misc]simplify: iters left: 3 (93 enodes) 1554299885.331 * * [misc]simplify: iters left: 2 (94 enodes) 1554299885.344 * * [misc]simplify: iters left: 1 (96 enodes) 1554299885.367 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.367 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299885.367 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299885.368 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299885.368 * * [misc]simplify: Extracting #4: cost 33 inf + 87 1554299885.368 * * [misc]simplify: Extracting #5: cost 25 inf + 662 1554299885.369 * * [misc]simplify: Extracting #6: cost 19 inf + 1285 1554299885.369 * * [misc]simplify: Extracting #7: cost 8 inf + 4816 1554299885.370 * * [misc]simplify: Extracting #8: cost 2 inf + 8936 1554299885.371 * * [misc]simplify: Extracting #9: cost 0 inf + 10336 1554299885.372 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299885.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299885.373 * * * * [misc]progress: [ 78 / 621 ] simplifiying candidate # 1554299885.373 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299885.373 * * [misc]simplify: iters left: 6 (21 enodes) 1554299885.378 * * [misc]simplify: iters left: 5 (78 enodes) 1554299885.390 * * [misc]simplify: iters left: 4 (101 enodes) 1554299885.408 * * [misc]simplify: iters left: 3 (155 enodes) 1554299885.452 * * [misc]simplify: iters left: 2 (199 enodes) 1554299885.510 * * [misc]simplify: iters left: 1 (287 enodes) 1554299885.639 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.640 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299885.640 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554299885.640 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554299885.640 * * [misc]simplify: Extracting #4: cost 50 inf + 2 1554299885.641 * * [misc]simplify: Extracting #5: cost 50 inf + 250 1554299885.641 * * [misc]simplify: Extracting #6: cost 42 inf + 876 1554299885.642 * * [misc]simplify: Extracting #7: cost 33 inf + 2498 1554299885.644 * * [misc]simplify: Extracting #8: cost 18 inf + 10631 1554299885.651 * * [misc]simplify: Extracting #9: cost 2 inf + 22122 1554299885.659 * * [misc]simplify: Extracting #10: cost 0 inf + 24014 1554299885.667 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299885.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299885.668 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299885.669 * * [misc]simplify: iters left: 6 (20 enodes) 1554299885.678 * * [misc]simplify: iters left: 5 (71 enodes) 1554299885.698 * * [misc]simplify: iters left: 4 (82 enodes) 1554299885.721 * * [misc]simplify: iters left: 3 (93 enodes) 1554299885.748 * * [misc]simplify: iters left: 2 (94 enodes) 1554299885.761 * * [misc]simplify: iters left: 1 (96 enodes) 1554299885.776 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.776 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299885.776 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299885.776 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299885.776 * * [misc]simplify: Extracting #4: cost 32 inf + 85 1554299885.777 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299885.777 * * [misc]simplify: Extracting #6: cost 22 inf + 1041 1554299885.778 * * [misc]simplify: Extracting #7: cost 11 inf + 4201 1554299885.780 * * [misc]simplify: Extracting #8: cost 4 inf + 7830 1554299885.782 * * [misc]simplify: Extracting #9: cost 0 inf + 11160 1554299885.785 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)) 1554299885.785 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)))) 1554299885.785 * * * * [misc]progress: [ 79 / 621 ] simplifiying candidate # 1554299885.786 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299885.786 * * [misc]simplify: iters left: 6 (20 enodes) 1554299885.796 * * [misc]simplify: iters left: 5 (73 enodes) 1554299885.818 * * [misc]simplify: iters left: 4 (88 enodes) 1554299885.831 * * [misc]simplify: iters left: 3 (121 enodes) 1554299885.852 * * [misc]simplify: iters left: 2 (135 enodes) 1554299885.871 * * [misc]simplify: iters left: 1 (167 enodes) 1554299885.901 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299885.901 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299885.902 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299885.902 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299885.902 * * [misc]simplify: Extracting #4: cost 38 inf + 2 1554299885.902 * * [misc]simplify: Extracting #5: cost 38 inf + 250 1554299885.903 * * [misc]simplify: Extracting #6: cost 36 inf + 252 1554299885.903 * * [misc]simplify: Extracting #7: cost 26 inf + 1252 1554299885.904 * * [misc]simplify: Extracting #8: cost 18 inf + 4035 1554299885.907 * * [misc]simplify: Extracting #9: cost 5 inf + 10888 1554299885.911 * * [misc]simplify: Extracting #10: cost 0 inf + 14716 1554299885.916 * [exit]simplify: Simplified to (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (* (sqrt (pow PI (/ (- k) 2))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299885.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (* (sqrt (pow PI (/ (- k) 2))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299885.916 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299885.917 * * [misc]simplify: iters left: 6 (20 enodes) 1554299885.926 * * [misc]simplify: iters left: 5 (71 enodes) 1554299885.946 * * [misc]simplify: iters left: 4 (82 enodes) 1554299885.959 * * [misc]simplify: iters left: 3 (93 enodes) 1554299885.972 * * [misc]simplify: iters left: 2 (94 enodes) 1554299885.986 * * [misc]simplify: iters left: 1 (96 enodes) 1554299886.011 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.011 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299886.011 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299886.011 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299886.011 * * [misc]simplify: Extracting #4: cost 32 inf + 85 1554299886.011 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299886.012 * * [misc]simplify: Extracting #6: cost 22 inf + 1041 1554299886.013 * * [misc]simplify: Extracting #7: cost 11 inf + 4161 1554299886.015 * * [misc]simplify: Extracting #8: cost 4 inf + 7630 1554299886.017 * * [misc]simplify: Extracting #9: cost 0 inf + 10840 1554299886.019 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)) 1554299886.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)))) 1554299886.020 * * * * [misc]progress: [ 80 / 621 ] simplifiying candidate # 1554299886.020 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299886.020 * * [misc]simplify: iters left: 6 (17 enodes) 1554299886.029 * * [misc]simplify: iters left: 5 (59 enodes) 1554299886.046 * * [misc]simplify: iters left: 4 (71 enodes) 1554299886.065 * * [misc]simplify: iters left: 3 (83 enodes) 1554299886.079 * * [misc]simplify: iters left: 2 (85 enodes) 1554299886.089 * * [misc]simplify: iters left: 1 (87 enodes) 1554299886.099 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.100 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299886.100 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299886.100 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554299886.100 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554299886.100 * * [misc]simplify: Extracting #5: cost 24 inf + 3 1554299886.100 * * [misc]simplify: Extracting #6: cost 23 inf + 169 1554299886.100 * * [misc]simplify: Extracting #7: cost 17 inf + 501 1554299886.100 * * [misc]simplify: Extracting #8: cost 8 inf + 2451 1554299886.101 * * [misc]simplify: Extracting #9: cost 2 inf + 5141 1554299886.102 * * [misc]simplify: Extracting #10: cost 0 inf + 6212 1554299886.103 * [exit]simplify: Simplified to (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) 1554299886.103 * [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))) (sqrt PI)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299886.103 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299886.103 * * [misc]simplify: iters left: 6 (19 enodes) 1554299886.108 * * [misc]simplify: iters left: 5 (68 enodes) 1554299886.118 * * [misc]simplify: iters left: 4 (79 enodes) 1554299886.129 * * [misc]simplify: iters left: 3 (90 enodes) 1554299886.141 * * [misc]simplify: iters left: 2 (91 enodes) 1554299886.154 * * [misc]simplify: iters left: 1 (93 enodes) 1554299886.173 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.173 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299886.173 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299886.173 * * [misc]simplify: Extracting #3: cost 24 inf + 84 1554299886.173 * * [misc]simplify: Extracting #4: cost 28 inf + 210 1554299886.174 * * [misc]simplify: Extracting #5: cost 21 inf + 1039 1554299886.174 * * [misc]simplify: Extracting #6: cost 16 inf + 2162 1554299886.175 * * [misc]simplify: Extracting #7: cost 9 inf + 4199 1554299886.177 * * [misc]simplify: Extracting #8: cost 2 inf + 8494 1554299886.179 * * [misc]simplify: Extracting #9: cost 0 inf + 9934 1554299886.181 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299886.181 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ 1 1)) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299886.182 * * * * [misc]progress: [ 81 / 621 ] simplifiying candidate # 1554299886.182 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) 1) 1554299886.182 * * [misc]simplify: iters left: 6 (16 enodes) 1554299886.190 * * [misc]simplify: iters left: 5 (56 enodes) 1554299886.199 * * [misc]simplify: iters left: 4 (72 enodes) 1554299886.209 * * [misc]simplify: iters left: 3 (79 enodes) 1554299886.221 * * [misc]simplify: iters left: 2 (80 enodes) 1554299886.232 * * [misc]simplify: iters left: 1 (82 enodes) 1554299886.254 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.254 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299886.255 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299886.255 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554299886.255 * * [misc]simplify: Extracting #4: cost 20 inf + 1 1554299886.255 * * [misc]simplify: Extracting #5: cost 24 inf + 3 1554299886.255 * * [misc]simplify: Extracting #6: cost 22 inf + 251 1554299886.255 * * [misc]simplify: Extracting #7: cost 19 inf + 378 1554299886.256 * * [misc]simplify: Extracting #8: cost 6 inf + 3200 1554299886.258 * * [misc]simplify: Extracting #9: cost 0 inf + 6212 1554299886.259 * [exit]simplify: Simplified to (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) 1554299886.259 * [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))) (sqrt PI)))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299886.260 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299886.260 * * [misc]simplify: iters left: 6 (19 enodes) 1554299886.267 * * [misc]simplify: iters left: 5 (68 enodes) 1554299886.278 * * [misc]simplify: iters left: 4 (79 enodes) 1554299886.289 * * [misc]simplify: iters left: 3 (90 enodes) 1554299886.304 * * [misc]simplify: iters left: 2 (91 enodes) 1554299886.328 * * [misc]simplify: iters left: 1 (93 enodes) 1554299886.348 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.348 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299886.349 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299886.349 * * [misc]simplify: Extracting #3: cost 24 inf + 84 1554299886.349 * * [misc]simplify: Extracting #4: cost 28 inf + 210 1554299886.349 * * [misc]simplify: Extracting #5: cost 21 inf + 1039 1554299886.349 * * [misc]simplify: Extracting #6: cost 16 inf + 2162 1554299886.350 * * [misc]simplify: Extracting #7: cost 9 inf + 4199 1554299886.351 * * [misc]simplify: Extracting #8: cost 2 inf + 8494 1554299886.352 * * [misc]simplify: Extracting #9: cost 0 inf + 9934 1554299886.353 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299886.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) 1) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299886.353 * * * * [misc]progress: [ 82 / 621 ] simplifiying candidate # 1554299886.353 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299886.353 * * [misc]simplify: iters left: 6 (17 enodes) 1554299886.358 * * [misc]simplify: iters left: 5 (61 enodes) 1554299886.368 * * [misc]simplify: iters left: 4 (73 enodes) 1554299886.379 * * [misc]simplify: iters left: 3 (85 enodes) 1554299886.402 * * [misc]simplify: iters left: 2 (86 enodes) 1554299886.424 * * [misc]simplify: iters left: 1 (88 enodes) 1554299886.446 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.446 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299886.446 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554299886.446 * * [misc]simplify: Extracting #3: cost 18 inf + 42 1554299886.446 * * [misc]simplify: Extracting #4: cost 24 inf + 84 1554299886.447 * * [misc]simplify: Extracting #5: cost 28 inf + 86 1554299886.447 * * [misc]simplify: Extracting #6: cost 24 inf + 376 1554299886.448 * * [misc]simplify: Extracting #7: cost 13 inf + 2492 1554299886.449 * * [misc]simplify: Extracting #8: cost 2 inf + 7562 1554299886.451 * * [misc]simplify: Extracting #9: cost 0 inf + 8752 1554299886.453 * [exit]simplify: Simplified to (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k))) 1554299886.453 * [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))) (sqrt PI))) (sqrt k))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299886.454 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299886.454 * * [misc]simplify: iters left: 6 (18 enodes) 1554299886.463 * * [misc]simplify: iters left: 5 (65 enodes) 1554299886.482 * * [misc]simplify: iters left: 4 (72 enodes) 1554299886.502 * * [misc]simplify: iters left: 3 (85 enodes) 1554299886.514 * * [misc]simplify: iters left: 2 (87 enodes) 1554299886.526 * * [misc]simplify: iters left: 1 (91 enodes) 1554299886.539 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.539 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299886.539 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299886.539 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554299886.539 * * [misc]simplify: Extracting #4: cost 28 inf + 126 1554299886.539 * * [misc]simplify: Extracting #5: cost 24 inf + 375 1554299886.539 * * [misc]simplify: Extracting #6: cost 16 inf + 1375 1554299886.540 * * [misc]simplify: Extracting #7: cost 9 inf + 3330 1554299886.541 * * [misc]simplify: Extracting #8: cost 1 inf + 7430 1554299886.542 * * [misc]simplify: Extracting #9: cost 0 inf + 7966 1554299886.543 * [exit]simplify: Simplified to (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (- (/ k 2)))) 1554299886.543 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (sqrt k)) (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (- (/ k 2)))))) 1554299886.543 * * * * [misc]progress: [ 83 / 621 ] simplifiying candidate # 1554299886.543 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299886.543 * * [misc]simplify: iters left: 6 (18 enodes) 1554299886.548 * * [misc]simplify: iters left: 5 (64 enodes) 1554299886.565 * * [misc]simplify: iters left: 4 (78 enodes) 1554299886.588 * * [misc]simplify: iters left: 3 (97 enodes) 1554299886.617 * * [misc]simplify: iters left: 2 (105 enodes) 1554299886.644 * * [misc]simplify: iters left: 1 (112 enodes) 1554299886.672 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.673 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299886.673 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299886.673 * * [misc]simplify: Extracting #3: cost 19 inf + 43 1554299886.673 * * [misc]simplify: Extracting #4: cost 26 inf + 84 1554299886.673 * * [misc]simplify: Extracting #5: cost 30 inf + 86 1554299886.673 * * [misc]simplify: Extracting #6: cost 27 inf + 294 1554299886.674 * * [misc]simplify: Extracting #7: cost 15 inf + 2492 1554299886.676 * * [misc]simplify: Extracting #8: cost 2 inf + 8832 1554299886.679 * * [misc]simplify: Extracting #9: cost 0 inf + 9982 1554299886.682 * [exit]simplify: Simplified to (/ (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)) 1554299886.682 * [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))) (sqrt PI)))) (sqrt k)) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299886.683 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299886.683 * * [misc]simplify: iters left: 6 (16 enodes) 1554299886.691 * * [misc]simplify: iters left: 5 (56 enodes) 1554299886.708 * * [misc]simplify: iters left: 4 (64 enodes) 1554299886.718 * * [misc]simplify: iters left: 3 (73 enodes) 1554299886.728 * * [misc]simplify: iters left: 2 (74 enodes) 1554299886.740 * * [misc]simplify: iters left: 1 (76 enodes) 1554299886.754 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.754 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299886.754 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299886.754 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299886.754 * * [misc]simplify: Extracting #4: cost 17 inf + 211 1554299886.754 * * [misc]simplify: Extracting #5: cost 16 inf + 841 1554299886.755 * * [misc]simplify: Extracting #6: cost 14 inf + 1090 1554299886.756 * * [misc]simplify: Extracting #7: cost 7 inf + 2875 1554299886.757 * * [misc]simplify: Extracting #8: cost 0 inf + 6066 1554299886.759 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))) 1554299886.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))))) 1554299886.759 * * * * [misc]progress: [ 84 / 621 ] simplifiying candidate # 1554299886.759 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299886.760 * * [misc]simplify: iters left: 6 (20 enodes) 1554299886.770 * * [misc]simplify: iters left: 5 (69 enodes) 1554299886.789 * * [misc]simplify: iters left: 4 (79 enodes) 1554299886.811 * * [misc]simplify: iters left: 3 (99 enodes) 1554299886.836 * * [misc]simplify: iters left: 2 (107 enodes) 1554299886.864 * * [misc]simplify: iters left: 1 (114 enodes) 1554299886.895 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.895 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299886.895 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299886.895 * * [misc]simplify: Extracting #3: cost 19 inf + 43 1554299886.896 * * [misc]simplify: Extracting #4: cost 26 inf + 84 1554299886.896 * * [misc]simplify: Extracting #5: cost 30 inf + 86 1554299886.896 * * [misc]simplify: Extracting #6: cost 27 inf + 335 1554299886.897 * * [misc]simplify: Extracting #7: cost 15 inf + 2863 1554299886.899 * * [misc]simplify: Extracting #8: cost 5 inf + 7027 1554299886.902 * * [misc]simplify: Extracting #9: cost 0 inf + 9982 1554299886.905 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299886.905 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299886.905 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299886.905 * * [misc]simplify: iters left: 6 (16 enodes) 1554299886.914 * * [misc]simplify: iters left: 5 (56 enodes) 1554299886.931 * * [misc]simplify: iters left: 4 (64 enodes) 1554299886.949 * * [misc]simplify: iters left: 3 (73 enodes) 1554299886.961 * * [misc]simplify: iters left: 2 (74 enodes) 1554299886.972 * * [misc]simplify: iters left: 1 (76 enodes) 1554299886.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299886.981 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299886.982 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299886.982 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299886.982 * * [misc]simplify: Extracting #4: cost 17 inf + 211 1554299886.982 * * [misc]simplify: Extracting #5: cost 16 inf + 841 1554299886.982 * * [misc]simplify: Extracting #6: cost 14 inf + 1090 1554299886.982 * * [misc]simplify: Extracting #7: cost 7 inf + 2875 1554299886.983 * * [misc]simplify: Extracting #8: cost 0 inf + 6066 1554299886.984 * [exit]simplify: Simplified to (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))) 1554299886.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))))) 1554299886.984 * * * * [misc]progress: [ 85 / 621 ] simplifiying candidate # 1554299886.984 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299886.984 * * [misc]simplify: iters left: 6 (21 enodes) 1554299886.990 * * [misc]simplify: iters left: 5 (74 enodes) 1554299887.013 * * [misc]simplify: iters left: 4 (82 enodes) 1554299887.027 * * [misc]simplify: iters left: 3 (89 enodes) 1554299887.040 * * [misc]simplify: iters left: 2 (90 enodes) 1554299887.053 * * [misc]simplify: iters left: 1 (92 enodes) 1554299887.077 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.077 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299887.077 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554299887.077 * * [misc]simplify: Extracting #3: cost 21 inf + 0 1554299887.077 * * [misc]simplify: Extracting #4: cost 32 inf + 1 1554299887.078 * * [misc]simplify: Extracting #5: cost 36 inf + 4 1554299887.078 * * [misc]simplify: Extracting #6: cost 28 inf + 417 1554299887.079 * * [misc]simplify: Extracting #7: cost 14 inf + 3161 1554299887.080 * * [misc]simplify: Extracting #8: cost 9 inf + 5031 1554299887.082 * * [misc]simplify: Extracting #9: cost 4 inf + 8612 1554299887.084 * * [misc]simplify: Extracting #10: cost 0 inf + 10996 1554299887.086 * [exit]simplify: Simplified to (/ (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.086 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299887.087 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.087 * * [misc]simplify: iters left: 6 (20 enodes) 1554299887.097 * * [misc]simplify: iters left: 5 (69 enodes) 1554299887.117 * * [misc]simplify: iters left: 4 (75 enodes) 1554299887.141 * * [misc]simplify: iters left: 3 (82 enodes) 1554299887.158 * * [misc]simplify: iters left: 2 (83 enodes) 1554299887.169 * * [misc]simplify: iters left: 1 (85 enodes) 1554299887.187 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.187 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299887.187 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299887.187 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299887.187 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554299887.187 * * [misc]simplify: Extracting #5: cost 32 inf + 4 1554299887.187 * * [misc]simplify: Extracting #6: cost 26 inf + 335 1554299887.188 * * [misc]simplify: Extracting #7: cost 12 inf + 2783 1554299887.189 * * [misc]simplify: Extracting #8: cost 4 inf + 5404 1554299887.190 * * [misc]simplify: Extracting #9: cost 2 inf + 6310 1554299887.191 * * [misc]simplify: Extracting #10: cost 0 inf + 8120 1554299887.191 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299887.192 * * * * [misc]progress: [ 86 / 621 ] simplifiying candidate # 1554299887.192 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.192 * * [misc]simplify: iters left: 6 (20 enodes) 1554299887.197 * * [misc]simplify: iters left: 5 (69 enodes) 1554299887.206 * * [misc]simplify: iters left: 4 (75 enodes) 1554299887.220 * * [misc]simplify: iters left: 3 (82 enodes) 1554299887.243 * * [misc]simplify: iters left: 2 (83 enodes) 1554299887.254 * * [misc]simplify: iters left: 1 (85 enodes) 1554299887.265 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.265 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299887.265 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299887.265 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299887.266 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554299887.266 * * [misc]simplify: Extracting #5: cost 32 inf + 4 1554299887.266 * * [misc]simplify: Extracting #6: cost 26 inf + 335 1554299887.266 * * [misc]simplify: Extracting #7: cost 12 inf + 2783 1554299887.267 * * [misc]simplify: Extracting #8: cost 4 inf + 5404 1554299887.267 * * [misc]simplify: Extracting #9: cost 2 inf + 6230 1554299887.268 * * [misc]simplify: Extracting #10: cost 0 inf + 7960 1554299887.270 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299887.270 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.271 * * [misc]simplify: iters left: 6 (20 enodes) 1554299887.280 * * [misc]simplify: iters left: 5 (69 enodes) 1554299887.297 * * [misc]simplify: iters left: 4 (75 enodes) 1554299887.307 * * [misc]simplify: iters left: 3 (82 enodes) 1554299887.319 * * [misc]simplify: iters left: 2 (83 enodes) 1554299887.329 * * [misc]simplify: iters left: 1 (85 enodes) 1554299887.342 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.342 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299887.342 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299887.342 * * [misc]simplify: Extracting #3: cost 17 inf + 0 1554299887.342 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554299887.342 * * [misc]simplify: Extracting #5: cost 32 inf + 4 1554299887.342 * * [misc]simplify: Extracting #6: cost 26 inf + 335 1554299887.343 * * [misc]simplify: Extracting #7: cost 12 inf + 2783 1554299887.343 * * [misc]simplify: Extracting #8: cost 4 inf + 5404 1554299887.344 * * [misc]simplify: Extracting #9: cost 2 inf + 6230 1554299887.345 * * [misc]simplify: Extracting #10: cost 0 inf + 7960 1554299887.347 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299887.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299887.347 * * * * [misc]progress: [ 87 / 621 ] simplifiying candidate # 1554299887.348 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299887.348 * * [misc]simplify: iters left: 6 (23 enodes) 1554299887.359 * * [misc]simplify: iters left: 5 (86 enodes) 1554299887.386 * * [misc]simplify: iters left: 4 (121 enodes) 1554299887.424 * * [misc]simplify: iters left: 3 (165 enodes) 1554299887.476 * * [misc]simplify: iters left: 2 (196 enodes) 1554299887.508 * * [misc]simplify: iters left: 1 (231 enodes) 1554299887.560 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.560 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554299887.560 * * [misc]simplify: Extracting #2: cost 54 inf + 0 1554299887.560 * * [misc]simplify: Extracting #3: cost 65 inf + 0 1554299887.561 * * [misc]simplify: Extracting #4: cost 70 inf + 326 1554299887.561 * * [misc]simplify: Extracting #5: cost 65 inf + 938 1554299887.561 * * [misc]simplify: Extracting #6: cost 59 inf + 1229 1554299887.562 * * [misc]simplify: Extracting #7: cost 52 inf + 2398 1554299887.564 * * [misc]simplify: Extracting #8: cost 21 inf + 22324 1554299887.571 * * [misc]simplify: Extracting #9: cost 2 inf + 36015 1554299887.576 * * [misc]simplify: Extracting #10: cost 0 inf + 37735 1554299887.583 * [exit]simplify: Simplified to (/ (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))) 1554299887.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299887.584 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299887.584 * * [misc]simplify: iters left: 6 (21 enodes) 1554299887.593 * * [misc]simplify: iters left: 5 (74 enodes) 1554299887.614 * * [misc]simplify: iters left: 4 (85 enodes) 1554299887.639 * * [misc]simplify: iters left: 3 (96 enodes) 1554299887.665 * * [misc]simplify: iters left: 2 (97 enodes) 1554299887.690 * * [misc]simplify: iters left: 1 (99 enodes) 1554299887.715 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.715 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299887.715 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299887.715 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299887.715 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299887.716 * * [misc]simplify: Extracting #5: cost 29 inf + 658 1554299887.716 * * [misc]simplify: Extracting #6: cost 23 inf + 990 1554299887.717 * * [misc]simplify: Extracting #7: cost 15 inf + 3068 1554299887.719 * * [misc]simplify: Extracting #8: cost 4 inf + 9138 1554299887.721 * * [misc]simplify: Extracting #9: cost 0 inf + 11562 1554299887.724 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))) 1554299887.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))))) 1554299887.724 * * * * [misc]progress: [ 88 / 621 ] simplifiying candidate # 1554299887.725 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299887.725 * * [misc]simplify: iters left: 6 (22 enodes) 1554299887.735 * * [misc]simplify: iters left: 5 (79 enodes) 1554299887.754 * * [misc]simplify: iters left: 4 (97 enodes) 1554299887.767 * * [misc]simplify: iters left: 3 (123 enodes) 1554299887.789 * * [misc]simplify: iters left: 2 (130 enodes) 1554299887.805 * * [misc]simplify: iters left: 1 (140 enodes) 1554299887.824 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.824 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299887.824 * * [misc]simplify: Extracting #2: cost 32 inf + 0 1554299887.824 * * [misc]simplify: Extracting #3: cost 43 inf + 0 1554299887.824 * * [misc]simplify: Extracting #4: cost 51 inf + 3 1554299887.824 * * [misc]simplify: Extracting #5: cost 46 inf + 574 1554299887.825 * * [misc]simplify: Extracting #6: cost 36 inf + 1352 1554299887.825 * * [misc]simplify: Extracting #7: cost 30 inf + 2398 1554299887.826 * * [misc]simplify: Extracting #8: cost 13 inf + 11340 1554299887.828 * * [misc]simplify: Extracting #9: cost 3 inf + 18236 1554299887.831 * * [misc]simplify: Extracting #10: cost 0 inf + 20331 1554299887.833 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299887.834 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299887.834 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299887.834 * * [misc]simplify: iters left: 6 (21 enodes) 1554299887.842 * * [misc]simplify: iters left: 5 (74 enodes) 1554299887.862 * * [misc]simplify: iters left: 4 (85 enodes) 1554299887.874 * * [misc]simplify: iters left: 3 (96 enodes) 1554299887.886 * * [misc]simplify: iters left: 2 (97 enodes) 1554299887.906 * * [misc]simplify: iters left: 1 (99 enodes) 1554299887.931 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299887.931 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299887.931 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299887.931 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299887.931 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299887.932 * * [misc]simplify: Extracting #5: cost 29 inf + 658 1554299887.932 * * [misc]simplify: Extracting #6: cost 23 inf + 990 1554299887.933 * * [misc]simplify: Extracting #7: cost 15 inf + 3068 1554299887.935 * * [misc]simplify: Extracting #8: cost 4 inf + 8978 1554299887.937 * * [misc]simplify: Extracting #9: cost 0 inf + 11242 1554299887.940 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))) 1554299887.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (cbrt (sqrt k))))) 1554299887.940 * * * * [misc]progress: [ 89 / 621 ] simplifiying candidate # 1554299887.941 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299887.941 * * [misc]simplify: iters left: 6 (19 enodes) 1554299887.951 * * [misc]simplify: iters left: 5 (67 enodes) 1554299887.971 * * [misc]simplify: iters left: 4 (88 enodes) 1554299887.997 * * [misc]simplify: iters left: 3 (105 enodes) 1554299888.026 * * [misc]simplify: iters left: 2 (113 enodes) 1554299888.059 * * [misc]simplify: iters left: 1 (128 enodes) 1554299888.097 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.097 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299888.097 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299888.098 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299888.098 * * [misc]simplify: Extracting #4: cost 35 inf + 2 1554299888.098 * * [misc]simplify: Extracting #5: cost 36 inf + 287 1554299888.099 * * [misc]simplify: Extracting #6: cost 27 inf + 1346 1554299888.100 * * [misc]simplify: Extracting #7: cost 13 inf + 3825 1554299888.101 * * [misc]simplify: Extracting #8: cost 8 inf + 5566 1554299888.102 * * [misc]simplify: Extracting #9: cost 2 inf + 9376 1554299888.104 * * [misc]simplify: Extracting #10: cost 0 inf + 10646 1554299888.106 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299888.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299888.106 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299888.106 * * [misc]simplify: iters left: 6 (20 enodes) 1554299888.111 * * [misc]simplify: iters left: 5 (71 enodes) 1554299888.122 * * [misc]simplify: iters left: 4 (82 enodes) 1554299888.138 * * [misc]simplify: iters left: 3 (93 enodes) 1554299888.162 * * [misc]simplify: iters left: 2 (94 enodes) 1554299888.176 * * [misc]simplify: iters left: 1 (96 enodes) 1554299888.189 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.189 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299888.189 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299888.189 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299888.189 * * [misc]simplify: Extracting #4: cost 33 inf + 87 1554299888.190 * * [misc]simplify: Extracting #5: cost 25 inf + 702 1554299888.190 * * [misc]simplify: Extracting #6: cost 19 inf + 1365 1554299888.190 * * [misc]simplify: Extracting #7: cost 8 inf + 4936 1554299888.191 * * [misc]simplify: Extracting #8: cost 2 inf + 8976 1554299888.192 * * [misc]simplify: Extracting #9: cost 0 inf + 10336 1554299888.195 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299888.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299888.195 * * * * [misc]progress: [ 90 / 621 ] simplifiying candidate # 1554299888.195 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299888.196 * * [misc]simplify: iters left: 6 (22 enodes) 1554299888.208 * * [misc]simplify: iters left: 5 (79 enodes) 1554299888.231 * * [misc]simplify: iters left: 4 (96 enodes) 1554299888.259 * * [misc]simplify: iters left: 3 (115 enodes) 1554299888.283 * * [misc]simplify: iters left: 2 (124 enodes) 1554299888.301 * * [misc]simplify: iters left: 1 (132 enodes) 1554299888.317 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.317 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299888.317 * * [misc]simplify: Extracting #2: cost 29 inf + 0 1554299888.317 * * [misc]simplify: Extracting #3: cost 40 inf + 0 1554299888.317 * * [misc]simplify: Extracting #4: cost 47 inf + 44 1554299888.317 * * [misc]simplify: Extracting #5: cost 44 inf + 373 1554299888.318 * * [misc]simplify: Extracting #6: cost 36 inf + 868 1554299888.318 * * [misc]simplify: Extracting #7: cost 29 inf + 1996 1554299888.319 * * [misc]simplify: Extracting #8: cost 17 inf + 8401 1554299888.321 * * [misc]simplify: Extracting #9: cost 0 inf + 20274 1554299888.323 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt k)) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) 1554299888.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt k)) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299888.324 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299888.324 * * [misc]simplify: iters left: 6 (21 enodes) 1554299888.328 * * [misc]simplify: iters left: 5 (74 enodes) 1554299888.341 * * [misc]simplify: iters left: 4 (85 enodes) 1554299888.364 * * [misc]simplify: iters left: 3 (96 enodes) 1554299888.377 * * [misc]simplify: iters left: 2 (97 enodes) 1554299888.391 * * [misc]simplify: iters left: 1 (99 enodes) 1554299888.413 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.413 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299888.413 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299888.414 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299888.414 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299888.414 * * [misc]simplify: Extracting #5: cost 29 inf + 578 1554299888.415 * * [misc]simplify: Extracting #6: cost 23 inf + 910 1554299888.415 * * [misc]simplify: Extracting #7: cost 15 inf + 2988 1554299888.417 * * [misc]simplify: Extracting #8: cost 4 inf + 8938 1554299888.420 * * [misc]simplify: Extracting #9: cost 0 inf + 11242 1554299888.422 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) 1554299888.422 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))))) 1554299888.423 * * * * [misc]progress: [ 91 / 621 ] simplifiying candidate # 1554299888.423 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299888.423 * * [misc]simplify: iters left: 6 (21 enodes) 1554299888.433 * * [misc]simplify: iters left: 5 (74 enodes) 1554299888.452 * * [misc]simplify: iters left: 4 (85 enodes) 1554299888.464 * * [misc]simplify: iters left: 3 (96 enodes) 1554299888.477 * * [misc]simplify: iters left: 2 (97 enodes) 1554299888.503 * * [misc]simplify: iters left: 1 (99 enodes) 1554299888.527 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.528 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299888.528 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299888.528 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299888.528 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299888.528 * * [misc]simplify: Extracting #5: cost 29 inf + 578 1554299888.529 * * [misc]simplify: Extracting #6: cost 23 inf + 910 1554299888.530 * * [misc]simplify: Extracting #7: cost 15 inf + 2988 1554299888.531 * * [misc]simplify: Extracting #8: cost 4 inf + 8778 1554299888.534 * * [misc]simplify: Extracting #9: cost 0 inf + 10922 1554299888.536 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) 1554299888.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299888.537 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299888.537 * * [misc]simplify: iters left: 6 (21 enodes) 1554299888.542 * * [misc]simplify: iters left: 5 (74 enodes) 1554299888.552 * * [misc]simplify: iters left: 4 (85 enodes) 1554299888.565 * * [misc]simplify: iters left: 3 (96 enodes) 1554299888.580 * * [misc]simplify: iters left: 2 (97 enodes) 1554299888.603 * * [misc]simplify: iters left: 1 (99 enodes) 1554299888.619 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.619 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299888.619 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299888.619 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554299888.619 * * [misc]simplify: Extracting #4: cost 36 inf + 3 1554299888.619 * * [misc]simplify: Extracting #5: cost 29 inf + 578 1554299888.619 * * [misc]simplify: Extracting #6: cost 23 inf + 910 1554299888.620 * * [misc]simplify: Extracting #7: cost 15 inf + 2988 1554299888.621 * * [misc]simplify: Extracting #8: cost 4 inf + 8778 1554299888.622 * * [misc]simplify: Extracting #9: cost 0 inf + 10922 1554299888.623 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))) 1554299888.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt (sqrt k))))) 1554299888.623 * * * * [misc]progress: [ 92 / 621 ] simplifiying candidate # 1554299888.624 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299888.624 * * [misc]simplify: iters left: 6 (18 enodes) 1554299888.628 * * [misc]simplify: iters left: 5 (62 enodes) 1554299888.638 * * [misc]simplify: iters left: 4 (72 enodes) 1554299888.659 * * [misc]simplify: iters left: 3 (83 enodes) 1554299888.681 * * [misc]simplify: iters left: 2 (85 enodes) 1554299888.703 * * [misc]simplify: iters left: 1 (89 enodes) 1554299888.725 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.725 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299888.725 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554299888.725 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299888.725 * * [misc]simplify: Extracting #4: cost 24 inf + 2 1554299888.725 * * [misc]simplify: Extracting #5: cost 24 inf + 248 1554299888.726 * * [misc]simplify: Extracting #6: cost 20 inf + 538 1554299888.726 * * [misc]simplify: Extracting #7: cost 9 inf + 2453 1554299888.727 * * [misc]simplify: Extracting #8: cost 5 inf + 3779 1554299888.727 * * [misc]simplify: Extracting #9: cost 1 inf + 5959 1554299888.728 * * [misc]simplify: Extracting #10: cost 0 inf + 6534 1554299888.730 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (sqrt k))) 1554299888.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299888.730 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299888.730 * * [misc]simplify: iters left: 6 (20 enodes) 1554299888.737 * * [misc]simplify: iters left: 5 (71 enodes) 1554299888.747 * * [misc]simplify: iters left: 4 (82 enodes) 1554299888.759 * * [misc]simplify: iters left: 3 (93 enodes) 1554299888.772 * * [misc]simplify: iters left: 2 (94 enodes) 1554299888.784 * * [misc]simplify: iters left: 1 (96 enodes) 1554299888.799 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.799 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299888.799 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299888.799 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299888.799 * * [misc]simplify: Extracting #4: cost 33 inf + 87 1554299888.799 * * [misc]simplify: Extracting #5: cost 25 inf + 662 1554299888.800 * * [misc]simplify: Extracting #6: cost 19 inf + 1285 1554299888.801 * * [misc]simplify: Extracting #7: cost 8 inf + 4776 1554299888.803 * * [misc]simplify: Extracting #8: cost 2 inf + 8696 1554299888.805 * * [misc]simplify: Extracting #9: cost 0 inf + 10016 1554299888.807 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299888.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299888.808 * * * * [misc]progress: [ 93 / 621 ] simplifiying candidate # 1554299888.808 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299888.808 * * [misc]simplify: iters left: 6 (20 enodes) 1554299888.818 * * [misc]simplify: iters left: 5 (73 enodes) 1554299888.835 * * [misc]simplify: iters left: 4 (86 enodes) 1554299888.848 * * [misc]simplify: iters left: 3 (107 enodes) 1554299888.867 * * [misc]simplify: iters left: 2 (117 enodes) 1554299888.899 * * [misc]simplify: iters left: 1 (143 enodes) 1554299888.927 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299888.927 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299888.927 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299888.927 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299888.927 * * [misc]simplify: Extracting #4: cost 38 inf + 2 1554299888.927 * * [misc]simplify: Extracting #5: cost 38 inf + 250 1554299888.927 * * [misc]simplify: Extracting #6: cost 34 inf + 336 1554299888.928 * * [misc]simplify: Extracting #7: cost 13 inf + 6064 1554299888.931 * * [misc]simplify: Extracting #8: cost 2 inf + 12749 1554299888.933 * * [misc]simplify: Extracting #9: cost 0 inf + 13988 1554299888.935 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) 1554299888.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299888.935 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299888.935 * * [misc]simplify: iters left: 6 (20 enodes) 1554299888.944 * * [misc]simplify: iters left: 5 (71 enodes) 1554299888.964 * * [misc]simplify: iters left: 4 (82 enodes) 1554299888.977 * * [misc]simplify: iters left: 3 (93 enodes) 1554299888.989 * * [misc]simplify: iters left: 2 (94 enodes) 1554299889.004 * * [misc]simplify: iters left: 1 (96 enodes) 1554299889.027 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.027 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299889.027 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299889.027 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299889.027 * * [misc]simplify: Extracting #4: cost 32 inf + 85 1554299889.027 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299889.028 * * [misc]simplify: Extracting #6: cost 22 inf + 1041 1554299889.029 * * [misc]simplify: Extracting #7: cost 11 inf + 4161 1554299889.031 * * [misc]simplify: Extracting #8: cost 4 inf + 7670 1554299889.033 * * [misc]simplify: Extracting #9: cost 0 inf + 10840 1554299889.035 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)) 1554299889.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)))) 1554299889.036 * * * * [misc]progress: [ 94 / 621 ] simplifiying candidate # 1554299889.036 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299889.036 * * [misc]simplify: iters left: 6 (19 enodes) 1554299889.047 * * [misc]simplify: iters left: 5 (68 enodes) 1554299889.066 * * [misc]simplify: iters left: 4 (75 enodes) 1554299889.083 * * [misc]simplify: iters left: 3 (88 enodes) 1554299889.094 * * [misc]simplify: iters left: 2 (90 enodes) 1554299889.106 * * [misc]simplify: iters left: 1 (94 enodes) 1554299889.128 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.129 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299889.129 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299889.129 * * [misc]simplify: Extracting #3: cost 20 inf + 1 1554299889.129 * * [misc]simplify: Extracting #4: cost 29 inf + 43 1554299889.129 * * [misc]simplify: Extracting #5: cost 30 inf + 250 1554299889.129 * * [misc]simplify: Extracting #6: cost 27 inf + 294 1554299889.130 * * [misc]simplify: Extracting #7: cost 11 inf + 3209 1554299889.132 * * [misc]simplify: Extracting #8: cost 4 inf + 6031 1554299889.134 * * [misc]simplify: Extracting #9: cost 1 inf + 7767 1554299889.136 * * [misc]simplify: Extracting #10: cost 0 inf + 8552 1554299889.138 * [exit]simplify: Simplified to (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (pow PI (- (/ k 2))))) 1554299889.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299889.139 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299889.139 * * [misc]simplify: iters left: 6 (20 enodes) 1554299889.147 * * [misc]simplify: iters left: 5 (71 enodes) 1554299889.158 * * [misc]simplify: iters left: 4 (82 enodes) 1554299889.170 * * [misc]simplify: iters left: 3 (93 enodes) 1554299889.187 * * [misc]simplify: iters left: 2 (94 enodes) 1554299889.208 * * [misc]simplify: iters left: 1 (96 enodes) 1554299889.220 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.220 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299889.220 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299889.220 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554299889.220 * * [misc]simplify: Extracting #4: cost 32 inf + 85 1554299889.220 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299889.221 * * [misc]simplify: Extracting #6: cost 22 inf + 1041 1554299889.221 * * [misc]simplify: Extracting #7: cost 11 inf + 4121 1554299889.222 * * [misc]simplify: Extracting #8: cost 4 inf + 7470 1554299889.223 * * [misc]simplify: Extracting #9: cost 0 inf + 10520 1554299889.224 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)) 1554299889.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) (sqrt k)))) 1554299889.224 * * * * [misc]progress: [ 95 / 621 ] simplifiying candidate # 1554299889.225 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299889.225 * * [misc]simplify: iters left: 6 (16 enodes) 1554299889.229 * * [misc]simplify: iters left: 5 (54 enodes) 1554299889.237 * * [misc]simplify: iters left: 4 (62 enodes) 1554299889.246 * * [misc]simplify: iters left: 3 (72 enodes) 1554299889.258 * * [misc]simplify: iters left: 2 (73 enodes) 1554299889.268 * * [misc]simplify: iters left: 1 (75 enodes) 1554299889.284 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.284 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299889.284 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299889.284 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554299889.284 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554299889.284 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554299889.284 * * [misc]simplify: Extracting #6: cost 13 inf + 461 1554299889.284 * * [misc]simplify: Extracting #7: cost 5 inf + 2208 1554299889.285 * * [misc]simplify: Extracting #8: cost 1 inf + 3535 1554299889.285 * * [misc]simplify: Extracting #9: cost 0 inf + 3990 1554299889.286 * [exit]simplify: Simplified to (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) 1554299889.286 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299889.286 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299889.286 * * [misc]simplify: iters left: 6 (19 enodes) 1554299889.291 * * [misc]simplify: iters left: 5 (68 enodes) 1554299889.301 * * [misc]simplify: iters left: 4 (79 enodes) 1554299889.315 * * [misc]simplify: iters left: 3 (90 enodes) 1554299889.338 * * [misc]simplify: iters left: 2 (91 enodes) 1554299889.355 * * [misc]simplify: iters left: 1 (93 enodes) 1554299889.366 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.366 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299889.366 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299889.366 * * [misc]simplify: Extracting #3: cost 24 inf + 84 1554299889.366 * * [misc]simplify: Extracting #4: cost 28 inf + 210 1554299889.366 * * [misc]simplify: Extracting #5: cost 21 inf + 1039 1554299889.367 * * [misc]simplify: Extracting #6: cost 16 inf + 2162 1554299889.367 * * [misc]simplify: Extracting #7: cost 9 inf + 4159 1554299889.368 * * [misc]simplify: Extracting #8: cost 2 inf + 8254 1554299889.369 * * [misc]simplify: Extracting #9: cost 0 inf + 9614 1554299889.370 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299889.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 1)) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299889.371 * * * * [misc]progress: [ 96 / 621 ] simplifiying candidate # 1554299889.371 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) 1) 1554299889.371 * * [misc]simplify: iters left: 6 (15 enodes) 1554299889.375 * * [misc]simplify: iters left: 5 (51 enodes) 1554299889.383 * * [misc]simplify: iters left: 4 (59 enodes) 1554299889.400 * * [misc]simplify: iters left: 3 (68 enodes) 1554299889.417 * * [misc]simplify: iters left: 2 (69 enodes) 1554299889.435 * * [misc]simplify: iters left: 1 (71 enodes) 1554299889.447 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.447 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299889.447 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299889.447 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554299889.447 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554299889.447 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554299889.447 * * [misc]simplify: Extracting #6: cost 15 inf + 378 1554299889.448 * * [misc]simplify: Extracting #7: cost 5 inf + 2582 1554299889.448 * * [misc]simplify: Extracting #8: cost 0 inf + 3990 1554299889.449 * [exit]simplify: Simplified to (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) 1554299889.449 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299889.449 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299889.449 * * [misc]simplify: iters left: 6 (19 enodes) 1554299889.454 * * [misc]simplify: iters left: 5 (68 enodes) 1554299889.465 * * [misc]simplify: iters left: 4 (79 enodes) 1554299889.487 * * [misc]simplify: iters left: 3 (90 enodes) 1554299889.499 * * [misc]simplify: iters left: 2 (91 enodes) 1554299889.511 * * [misc]simplify: iters left: 1 (93 enodes) 1554299889.523 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.523 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299889.523 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299889.523 * * [misc]simplify: Extracting #3: cost 24 inf + 84 1554299889.523 * * [misc]simplify: Extracting #4: cost 28 inf + 210 1554299889.523 * * [misc]simplify: Extracting #5: cost 21 inf + 1039 1554299889.524 * * [misc]simplify: Extracting #6: cost 16 inf + 2162 1554299889.524 * * [misc]simplify: Extracting #7: cost 9 inf + 4159 1554299889.525 * * [misc]simplify: Extracting #8: cost 2 inf + 8254 1554299889.526 * * [misc]simplify: Extracting #9: cost 0 inf + 9614 1554299889.527 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299889.527 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) 1) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299889.527 * * * * [misc]progress: [ 97 / 621 ] simplifiying candidate # 1554299889.527 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299889.527 * * [misc]simplify: iters left: 6 (16 enodes) 1554299889.534 * * [misc]simplify: iters left: 5 (56 enodes) 1554299889.550 * * [misc]simplify: iters left: 4 (64 enodes) 1554299889.571 * * [misc]simplify: iters left: 3 (73 enodes) 1554299889.589 * * [misc]simplify: iters left: 2 (74 enodes) 1554299889.598 * * [misc]simplify: iters left: 1 (76 enodes) 1554299889.608 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.608 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299889.608 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554299889.608 * * [misc]simplify: Extracting #3: cost 12 inf + 42 1554299889.609 * * [misc]simplify: Extracting #4: cost 18 inf + 84 1554299889.609 * * [misc]simplify: Extracting #5: cost 22 inf + 86 1554299889.609 * * [misc]simplify: Extracting #6: cost 18 inf + 376 1554299889.609 * * [misc]simplify: Extracting #7: cost 7 inf + 2411 1554299889.610 * * [misc]simplify: Extracting #8: cost 0 inf + 5142 1554299889.610 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) 1554299889.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299889.611 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299889.611 * * [misc]simplify: iters left: 6 (18 enodes) 1554299889.617 * * [misc]simplify: iters left: 5 (65 enodes) 1554299889.637 * * [misc]simplify: iters left: 4 (72 enodes) 1554299889.656 * * [misc]simplify: iters left: 3 (85 enodes) 1554299889.680 * * [misc]simplify: iters left: 2 (87 enodes) 1554299889.704 * * [misc]simplify: iters left: 1 (91 enodes) 1554299889.727 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.727 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299889.727 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299889.727 * * [misc]simplify: Extracting #3: cost 21 inf + 2 1554299889.728 * * [misc]simplify: Extracting #4: cost 28 inf + 126 1554299889.728 * * [misc]simplify: Extracting #5: cost 24 inf + 375 1554299889.728 * * [misc]simplify: Extracting #6: cost 16 inf + 1375 1554299889.729 * * [misc]simplify: Extracting #7: cost 9 inf + 3290 1554299889.731 * * [misc]simplify: Extracting #8: cost 1 inf + 7230 1554299889.732 * * [misc]simplify: Extracting #9: cost 0 inf + 7726 1554299889.734 * [exit]simplify: Simplified to (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (- (/ k 2)))) 1554299889.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (sqrt k)) (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (- (/ k 2)))))) 1554299889.734 * * * * [misc]progress: [ 98 / 621 ] simplifiying candidate # 1554299889.735 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299889.735 * * [misc]simplify: iters left: 6 (17 enodes) 1554299889.743 * * [misc]simplify: iters left: 5 (59 enodes) 1554299889.760 * * [misc]simplify: iters left: 4 (69 enodes) 1554299889.779 * * [misc]simplify: iters left: 3 (80 enodes) 1554299889.789 * * [misc]simplify: iters left: 2 (82 enodes) 1554299889.799 * * [misc]simplify: iters left: 1 (86 enodes) 1554299889.813 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.813 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299889.813 * * [misc]simplify: Extracting #2: cost 10 inf + 1 1554299889.814 * * [misc]simplify: Extracting #3: cost 13 inf + 43 1554299889.814 * * [misc]simplify: Extracting #4: cost 20 inf + 84 1554299889.814 * * [misc]simplify: Extracting #5: cost 24 inf + 86 1554299889.814 * * [misc]simplify: Extracting #6: cost 20 inf + 376 1554299889.815 * * [misc]simplify: Extracting #7: cost 10 inf + 2329 1554299889.816 * * [misc]simplify: Extracting #8: cost 2 inf + 5142 1554299889.818 * * [misc]simplify: Extracting #9: cost 0 inf + 6212 1554299889.820 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) 1554299889.820 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299889.820 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299889.820 * * [misc]simplify: iters left: 6 (16 enodes) 1554299889.831 * * [misc]simplify: iters left: 5 (56 enodes) 1554299889.846 * * [misc]simplify: iters left: 4 (64 enodes) 1554299889.857 * * [misc]simplify: iters left: 3 (73 enodes) 1554299889.867 * * [misc]simplify: iters left: 2 (74 enodes) 1554299889.877 * * [misc]simplify: iters left: 1 (76 enodes) 1554299889.897 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299889.898 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299889.898 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299889.898 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299889.898 * * [misc]simplify: Extracting #4: cost 17 inf + 211 1554299889.898 * * [misc]simplify: Extracting #5: cost 16 inf + 841 1554299889.899 * * [misc]simplify: Extracting #6: cost 14 inf + 1090 1554299889.899 * * [misc]simplify: Extracting #7: cost 7 inf + 2835 1554299889.901 * * [misc]simplify: Extracting #8: cost 0 inf + 5906 1554299889.902 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))) 1554299889.902 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))))) 1554299889.903 * * * * [misc]progress: [ 99 / 621 ] simplifiying candidate # 1554299889.903 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299889.903 * * [misc]simplify: iters left: 6 (19 enodes) 1554299889.912 * * [misc]simplify: iters left: 5 (64 enodes) 1554299889.931 * * [misc]simplify: iters left: 4 (70 enodes) 1554299889.949 * * [misc]simplify: iters left: 3 (81 enodes) 1554299889.972 * * [misc]simplify: iters left: 2 (85 enodes) 1554299889.993 * * [misc]simplify: iters left: 1 (89 enodes) 1554299890.014 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.014 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299890.014 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299890.015 * * [misc]simplify: Extracting #3: cost 12 inf + 2 1554299890.015 * * [misc]simplify: Extracting #4: cost 18 inf + 84 1554299890.015 * * [misc]simplify: Extracting #5: cost 22 inf + 86 1554299890.015 * * [misc]simplify: Extracting #6: cost 18 inf + 376 1554299890.015 * * [misc]simplify: Extracting #7: cost 7 inf + 2744 1554299890.016 * * [misc]simplify: Extracting #8: cost 0 inf + 5142 1554299890.017 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) 1554299890.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299890.017 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299890.017 * * [misc]simplify: iters left: 6 (16 enodes) 1554299890.021 * * [misc]simplify: iters left: 5 (56 enodes) 1554299890.030 * * [misc]simplify: iters left: 4 (64 enodes) 1554299890.039 * * [misc]simplify: iters left: 3 (73 enodes) 1554299890.049 * * [misc]simplify: iters left: 2 (74 enodes) 1554299890.069 * * [misc]simplify: iters left: 1 (76 enodes) 1554299890.090 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.090 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299890.090 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554299890.091 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299890.091 * * [misc]simplify: Extracting #4: cost 17 inf + 211 1554299890.091 * * [misc]simplify: Extracting #5: cost 16 inf + 841 1554299890.091 * * [misc]simplify: Extracting #6: cost 14 inf + 1090 1554299890.092 * * [misc]simplify: Extracting #7: cost 7 inf + 2835 1554299890.093 * * [misc]simplify: Extracting #8: cost 0 inf + 5906 1554299890.095 * [exit]simplify: Simplified to (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))) 1554299890.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (sqrt k)) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (pow PI (/ k 2))))) 1554299890.095 * * * * [misc]progress: [ 100 / 621 ] simplifiying candidate # 1554299890.096 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299890.096 * * [misc]simplify: iters left: 6 (21 enodes) 1554299890.106 * * [misc]simplify: iters left: 5 (76 enodes) 1554299890.128 * * [misc]simplify: iters left: 4 (97 enodes) 1554299890.150 * * [misc]simplify: iters left: 3 (124 enodes) 1554299890.168 * * [misc]simplify: iters left: 2 (137 enodes) 1554299890.195 * * [misc]simplify: iters left: 1 (139 enodes) 1554299890.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.228 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299890.229 * * [misc]simplify: Extracting #2: cost 38 inf + 0 1554299890.229 * * [misc]simplify: Extracting #3: cost 46 inf + 1 1554299890.229 * * [misc]simplify: Extracting #4: cost 49 inf + 4 1554299890.230 * * [misc]simplify: Extracting #5: cost 40 inf + 703 1554299890.230 * * [misc]simplify: Extracting #6: cost 30 inf + 2984 1554299890.231 * * [misc]simplify: Extracting #7: cost 25 inf + 3815 1554299890.234 * * [misc]simplify: Extracting #8: cost 15 inf + 9833 1554299890.239 * * [misc]simplify: Extracting #9: cost 1 inf + 19754 1554299890.244 * * [misc]simplify: Extracting #10: cost 0 inf + 20368 1554299890.250 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299890.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299890.251 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299890.251 * * [misc]simplify: iters left: 6 (19 enodes) 1554299890.260 * * [misc]simplify: iters left: 5 (65 enodes) 1554299890.280 * * [misc]simplify: iters left: 4 (74 enodes) 1554299890.299 * * [misc]simplify: iters left: 3 (76 enodes) 1554299890.320 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.320 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299890.320 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299890.320 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299890.320 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299890.321 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299890.321 * * [misc]simplify: Extracting #6: cost 15 inf + 2613 1554299890.322 * * [misc]simplify: Extracting #7: cost 5 inf + 5991 1554299890.325 * * [misc]simplify: Extracting #8: cost 0 inf + 9732 1554299890.327 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))) 1554299890.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))))) 1554299890.327 * * * * [misc]progress: [ 101 / 621 ] simplifiying candidate # 1554299890.327 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299890.327 * * [misc]simplify: iters left: 6 (20 enodes) 1554299890.338 * * [misc]simplify: iters left: 5 (71 enodes) 1554299890.361 * * [misc]simplify: iters left: 4 (85 enodes) 1554299890.385 * * [misc]simplify: iters left: 3 (97 enodes) 1554299890.402 * * [misc]simplify: iters left: 2 (99 enodes) 1554299890.416 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.416 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299890.416 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554299890.416 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554299890.416 * * [misc]simplify: Extracting #4: cost 37 inf + 4 1554299890.416 * * [misc]simplify: Extracting #5: cost 30 inf + 539 1554299890.417 * * [misc]simplify: Extracting #6: cost 18 inf + 2984 1554299890.417 * * [misc]simplify: Extracting #7: cost 13 inf + 3815 1554299890.418 * * [misc]simplify: Extracting #8: cost 6 inf + 7430 1554299890.420 * * [misc]simplify: Extracting #9: cost 0 inf + 11638 1554299890.421 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299890.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299890.422 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299890.422 * * [misc]simplify: iters left: 6 (19 enodes) 1554299890.426 * * [misc]simplify: iters left: 5 (65 enodes) 1554299890.438 * * [misc]simplify: iters left: 4 (74 enodes) 1554299890.457 * * [misc]simplify: iters left: 3 (76 enodes) 1554299890.469 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.469 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299890.469 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299890.469 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299890.469 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299890.469 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299890.469 * * [misc]simplify: Extracting #6: cost 15 inf + 2613 1554299890.470 * * [misc]simplify: Extracting #7: cost 5 inf + 5871 1554299890.471 * * [misc]simplify: Extracting #8: cost 0 inf + 9412 1554299890.472 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))) 1554299890.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))))) 1554299890.472 * * * * [misc]progress: [ 102 / 621 ] simplifiying candidate # 1554299890.472 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299890.472 * * [misc]simplify: iters left: 6 (23 enodes) 1554299890.478 * * [misc]simplify: iters left: 5 (88 enodes) 1554299890.502 * * [misc]simplify: iters left: 4 (142 enodes) 1554299890.551 * * [misc]simplify: iters left: 3 (285 enodes) 1554299890.660 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.661 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554299890.661 * * [misc]simplify: Extracting #2: cost 165 inf + 0 1554299890.663 * * [misc]simplify: Extracting #3: cost 176 inf + 1 1554299890.664 * * [misc]simplify: Extracting #4: cost 169 inf + 457 1554299890.666 * * [misc]simplify: Extracting #5: cost 145 inf + 6818 1554299890.678 * * [misc]simplify: Extracting #6: cost 95 inf + 33489 1554299890.697 * * [misc]simplify: Extracting #7: cost 16 inf + 90949 1554299890.714 * * [misc]simplify: Extracting #8: cost 0 inf + 102412 1554299890.731 * * [misc]simplify: Extracting #9: cost 0 inf + 102292 1554299890.758 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299890.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299890.759 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299890.759 * * [misc]simplify: iters left: 6 (20 enodes) 1554299890.764 * * [misc]simplify: iters left: 5 (70 enodes) 1554299890.774 * * [misc]simplify: iters left: 4 (87 enodes) 1554299890.792 * * [misc]simplify: iters left: 3 (107 enodes) 1554299890.821 * * [misc]simplify: iters left: 2 (126 enodes) 1554299890.855 * * [misc]simplify: iters left: 1 (145 enodes) 1554299890.876 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299890.876 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299890.877 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299890.877 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299890.877 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299890.877 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299890.878 * * [misc]simplify: Extracting #6: cost 26 inf + 7573 1554299890.880 * * [misc]simplify: Extracting #7: cost 3 inf + 22233 1554299890.883 * * [misc]simplify: Extracting #8: cost 0 inf + 24435 1554299890.887 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299890.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299890.887 * * * * [misc]progress: [ 103 / 621 ] simplifiying candidate # 1554299890.888 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299890.888 * * [misc]simplify: iters left: 6 (22 enodes) 1554299890.898 * * [misc]simplify: iters left: 5 (81 enodes) 1554299890.911 * * [misc]simplify: iters left: 4 (114 enodes) 1554299890.933 * * [misc]simplify: iters left: 3 (195 enodes) 1554299890.983 * * [misc]simplify: iters left: 2 (371 enodes) 1554299891.107 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299891.107 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1554299891.107 * * [misc]simplify: Extracting #2: cost 131 inf + 0 1554299891.108 * * [misc]simplify: Extracting #3: cost 143 inf + 1 1554299891.108 * * [misc]simplify: Extracting #4: cost 134 inf + 580 1554299891.110 * * [misc]simplify: Extracting #5: cost 100 inf + 11375 1554299891.114 * * [misc]simplify: Extracting #6: cost 74 inf + 20767 1554299891.124 * * [misc]simplify: Extracting #7: cost 54 inf + 34092 1554299891.147 * * [misc]simplify: Extracting #8: cost 5 inf + 66744 1554299891.173 * * [misc]simplify: Extracting #9: cost 0 inf + 69693 1554299891.195 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI))))))) 1554299891.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299891.196 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299891.196 * * [misc]simplify: iters left: 6 (20 enodes) 1554299891.205 * * [misc]simplify: iters left: 5 (70 enodes) 1554299891.223 * * [misc]simplify: iters left: 4 (87 enodes) 1554299891.246 * * [misc]simplify: iters left: 3 (107 enodes) 1554299891.273 * * [misc]simplify: iters left: 2 (126 enodes) 1554299891.307 * * [misc]simplify: iters left: 1 (145 enodes) 1554299891.344 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299891.344 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299891.345 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299891.345 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299891.345 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299891.346 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299891.347 * * [misc]simplify: Extracting #6: cost 26 inf + 7533 1554299891.351 * * [misc]simplify: Extracting #7: cost 3 inf + 21473 1554299891.356 * * [misc]simplify: Extracting #8: cost 0 inf + 23555 1554299891.361 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299891.361 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299891.361 * * * * [misc]progress: [ 104 / 621 ] simplifiying candidate # 1554299891.362 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299891.362 * * [misc]simplify: iters left: 6 (18 enodes) 1554299891.370 * * [misc]simplify: iters left: 5 (65 enodes) 1554299891.387 * * [misc]simplify: iters left: 4 (94 enodes) 1554299891.414 * * [misc]simplify: iters left: 3 (154 enodes) 1554299891.453 * * [misc]simplify: iters left: 2 (279 enodes) 1554299891.615 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299891.616 * * [misc]simplify: Extracting #1: cost 46 inf + 0 1554299891.616 * * [misc]simplify: Extracting #2: cost 91 inf + 1 1554299891.616 * * [misc]simplify: Extracting #3: cost 97 inf + 2 1554299891.617 * * [misc]simplify: Extracting #4: cost 93 inf + 171 1554299891.617 * * [misc]simplify: Extracting #5: cost 78 inf + 2361 1554299891.620 * * [misc]simplify: Extracting #6: cost 21 inf + 22108 1554299891.627 * * [misc]simplify: Extracting #7: cost 0 inf + 30554 1554299891.634 * * [misc]simplify: Extracting #8: cost 0 inf + 30514 1554299891.645 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) 1554299891.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299891.646 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299891.646 * * [misc]simplify: iters left: 6 (19 enodes) 1554299891.655 * * [misc]simplify: iters left: 5 (67 enodes) 1554299891.674 * * [misc]simplify: iters left: 4 (84 enodes) 1554299891.686 * * [misc]simplify: iters left: 3 (104 enodes) 1554299891.700 * * [misc]simplify: iters left: 2 (123 enodes) 1554299891.738 * * [misc]simplify: iters left: 1 (142 enodes) 1554299891.779 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299891.779 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299891.779 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299891.779 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299891.779 * * [misc]simplify: Extracting #4: cost 51 inf + 290 1554299891.780 * * [misc]simplify: Extracting #5: cost 31 inf + 4157 1554299891.781 * * [misc]simplify: Extracting #6: cost 9 inf + 16484 1554299891.784 * * [misc]simplify: Extracting #7: cost 0 inf + 22089 1554299891.786 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299891.786 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299891.787 * * * * [misc]progress: [ 105 / 621 ] simplifiying candidate # 1554299891.787 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299891.787 * * [misc]simplify: iters left: 6 (22 enodes) 1554299891.792 * * [misc]simplify: iters left: 5 (81 enodes) 1554299891.804 * * [misc]simplify: iters left: 4 (113 enodes) 1554299891.829 * * [misc]simplify: iters left: 3 (184 enodes) 1554299891.868 * * [misc]simplify: iters left: 2 (349 enodes) 1554299892.005 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299892.005 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299892.006 * * [misc]simplify: Extracting #2: cost 133 inf + 0 1554299892.007 * * [misc]simplify: Extracting #3: cost 144 inf + 1 1554299892.008 * * [misc]simplify: Extracting #4: cost 132 inf + 783 1554299892.011 * * [misc]simplify: Extracting #5: cost 109 inf + 7022 1554299892.018 * * [misc]simplify: Extracting #6: cost 79 inf + 23195 1554299892.036 * * [misc]simplify: Extracting #7: cost 22 inf + 61446 1554299892.062 * * [misc]simplify: Extracting #8: cost 0 inf + 75311 1554299892.084 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))))) 1554299892.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299892.085 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299892.085 * * [misc]simplify: iters left: 6 (20 enodes) 1554299892.090 * * [misc]simplify: iters left: 5 (70 enodes) 1554299892.100 * * [misc]simplify: iters left: 4 (87 enodes) 1554299892.123 * * [misc]simplify: iters left: 3 (107 enodes) 1554299892.155 * * [misc]simplify: iters left: 2 (126 enodes) 1554299892.187 * * [misc]simplify: iters left: 1 (145 enodes) 1554299892.228 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299892.228 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299892.229 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299892.229 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299892.229 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299892.230 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299892.231 * * [misc]simplify: Extracting #6: cost 26 inf + 7253 1554299892.235 * * [misc]simplify: Extracting #7: cost 3 inf + 21393 1554299892.241 * * [misc]simplify: Extracting #8: cost 0 inf + 23475 1554299892.247 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299892.247 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299892.247 * * * * [misc]progress: [ 106 / 621 ] simplifiying candidate # 1554299892.248 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299892.248 * * [misc]simplify: iters left: 6 (21 enodes) 1554299892.258 * * [misc]simplify: iters left: 5 (76 enodes) 1554299892.278 * * [misc]simplify: iters left: 4 (100 enodes) 1554299892.296 * * [misc]simplify: iters left: 3 (142 enodes) 1554299892.317 * * [misc]simplify: iters left: 2 (194 enodes) 1554299892.346 * * [misc]simplify: iters left: 1 (257 enodes) 1554299892.418 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299892.418 * * [misc]simplify: Extracting #1: cost 36 inf + 0 1554299892.419 * * [misc]simplify: Extracting #2: cost 71 inf + 0 1554299892.419 * * [misc]simplify: Extracting #3: cost 82 inf + 1 1554299892.420 * * [misc]simplify: Extracting #4: cost 75 inf + 454 1554299892.421 * * [misc]simplify: Extracting #5: cost 55 inf + 4349 1554299892.424 * * [misc]simplify: Extracting #6: cost 37 inf + 9627 1554299892.430 * * [misc]simplify: Extracting #7: cost 15 inf + 21829 1554299892.441 * * [misc]simplify: Extracting #8: cost 0 inf + 30598 1554299892.453 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (* n 2)))) (cbrt (/ 1 (sqrt PI)))) 1554299892.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (* n 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299892.454 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299892.454 * * [misc]simplify: iters left: 6 (20 enodes) 1554299892.464 * * [misc]simplify: iters left: 5 (70 enodes) 1554299892.485 * * [misc]simplify: iters left: 4 (87 enodes) 1554299892.513 * * [misc]simplify: iters left: 3 (107 enodes) 1554299892.544 * * [misc]simplify: iters left: 2 (126 enodes) 1554299892.576 * * [misc]simplify: iters left: 1 (145 enodes) 1554299892.615 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299892.615 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299892.615 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299892.616 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299892.616 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299892.617 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299892.618 * * [misc]simplify: Extracting #6: cost 26 inf + 7213 1554299892.622 * * [misc]simplify: Extracting #7: cost 3 inf + 20633 1554299892.626 * * [misc]simplify: Extracting #8: cost 0 inf + 22595 1554299892.629 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299892.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299892.629 * * * * [misc]progress: [ 107 / 621 ] simplifiying candidate # 1554299892.629 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299892.629 * * [misc]simplify: iters left: 6 (17 enodes) 1554299892.635 * * [misc]simplify: iters left: 5 (60 enodes) 1554299892.643 * * [misc]simplify: iters left: 4 (74 enodes) 1554299892.654 * * [misc]simplify: iters left: 3 (99 enodes) 1554299892.682 * * [misc]simplify: iters left: 2 (134 enodes) 1554299892.707 * * [misc]simplify: iters left: 1 (206 enodes) 1554299892.784 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299892.784 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299892.784 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1554299892.784 * * [misc]simplify: Extracting #3: cost 53 inf + 2 1554299892.784 * * [misc]simplify: Extracting #4: cost 49 inf + 168 1554299892.785 * * [misc]simplify: Extracting #5: cost 36 inf + 1514 1554299892.786 * * [misc]simplify: Extracting #6: cost 13 inf + 7710 1554299892.789 * * [misc]simplify: Extracting #7: cost 2 inf + 11553 1554299892.792 * * [misc]simplify: Extracting #8: cost 0 inf + 12240 1554299892.795 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299892.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299892.796 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299892.796 * * [misc]simplify: iters left: 6 (19 enodes) 1554299892.800 * * [misc]simplify: iters left: 5 (67 enodes) 1554299892.820 * * [misc]simplify: iters left: 4 (84 enodes) 1554299892.833 * * [misc]simplify: iters left: 3 (104 enodes) 1554299892.847 * * [misc]simplify: iters left: 2 (123 enodes) 1554299892.871 * * [misc]simplify: iters left: 1 (142 enodes) 1554299892.898 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299892.898 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299892.898 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299892.899 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299892.899 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554299892.899 * * [misc]simplify: Extracting #5: cost 31 inf + 3957 1554299892.901 * * [misc]simplify: Extracting #6: cost 9 inf + 15764 1554299892.903 * * [misc]simplify: Extracting #7: cost 0 inf + 21129 1554299892.906 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299892.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299892.906 * * * * [misc]progress: [ 108 / 621 ] simplifiying candidate # 1554299892.906 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299892.906 * * [misc]simplify: iters left: 6 (20 enodes) 1554299892.912 * * [misc]simplify: iters left: 5 (75 enodes) 1554299892.926 * * [misc]simplify: iters left: 4 (103 enodes) 1554299892.954 * * [misc]simplify: iters left: 3 (158 enodes) 1554299892.988 * * [misc]simplify: iters left: 2 (307 enodes) 1554299893.086 * * [misc]simplify: iters left: 1 (466 enodes) 1554299893.250 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.250 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1554299893.251 * * [misc]simplify: Extracting #2: cost 92 inf + 1 1554299893.252 * * [misc]simplify: Extracting #3: cost 99 inf + 2 1554299893.252 * * [misc]simplify: Extracting #4: cost 93 inf + 579 1554299893.254 * * [misc]simplify: Extracting #5: cost 81 inf + 3945 1554299893.257 * * [misc]simplify: Extracting #6: cost 53 inf + 14881 1554299893.267 * * [misc]simplify: Extracting #7: cost 6 inf + 42899 1554299893.275 * * [misc]simplify: Extracting #8: cost 0 inf + 46866 1554299893.284 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))))) 1554299893.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299893.284 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299893.284 * * [misc]simplify: iters left: 6 (19 enodes) 1554299893.291 * * [misc]simplify: iters left: 5 (67 enodes) 1554299893.301 * * [misc]simplify: iters left: 4 (84 enodes) 1554299893.313 * * [misc]simplify: iters left: 3 (104 enodes) 1554299893.337 * * [misc]simplify: iters left: 2 (123 enodes) 1554299893.366 * * [misc]simplify: iters left: 1 (142 enodes) 1554299893.387 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.387 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299893.387 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299893.387 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299893.387 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299893.388 * * [misc]simplify: Extracting #5: cost 32 inf + 4248 1554299893.390 * * [misc]simplify: Extracting #6: cost 8 inf + 17081 1554299893.395 * * [misc]simplify: Extracting #7: cost 0 inf + 22433 1554299893.401 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299893.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299893.401 * * * * [misc]progress: [ 109 / 621 ] simplifiying candidate # 1554299893.402 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299893.402 * * [misc]simplify: iters left: 6 (19 enodes) 1554299893.409 * * [misc]simplify: iters left: 5 (70 enodes) 1554299893.420 * * [misc]simplify: iters left: 4 (90 enodes) 1554299893.433 * * [misc]simplify: iters left: 3 (117 enodes) 1554299893.467 * * [misc]simplify: iters left: 2 (165 enodes) 1554299893.515 * * [misc]simplify: iters left: 1 (192 enodes) 1554299893.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.540 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299893.541 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299893.541 * * [misc]simplify: Extracting #3: cost 53 inf + 2 1554299893.541 * * [misc]simplify: Extracting #4: cost 51 inf + 290 1554299893.541 * * [misc]simplify: Extracting #5: cost 40 inf + 2365 1554299893.542 * * [misc]simplify: Extracting #6: cost 29 inf + 4446 1554299893.544 * * [misc]simplify: Extracting #7: cost 3 inf + 17470 1554299893.550 * * [misc]simplify: Extracting #8: cost 0 inf + 18832 1554299893.555 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) 1554299893.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299893.556 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299893.556 * * [misc]simplify: iters left: 6 (19 enodes) 1554299893.565 * * [misc]simplify: iters left: 5 (67 enodes) 1554299893.585 * * [misc]simplify: iters left: 4 (84 enodes) 1554299893.608 * * [misc]simplify: iters left: 3 (104 enodes) 1554299893.623 * * [misc]simplify: iters left: 2 (123 enodes) 1554299893.650 * * [misc]simplify: iters left: 1 (142 enodes) 1554299893.687 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.687 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299893.687 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299893.687 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299893.687 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299893.688 * * [misc]simplify: Extracting #5: cost 32 inf + 4208 1554299893.689 * * [misc]simplify: Extracting #6: cost 8 inf + 16521 1554299893.692 * * [misc]simplify: Extracting #7: cost 0 inf + 21553 1554299893.695 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299893.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299893.695 * * * * [misc]progress: [ 110 / 621 ] simplifiying candidate # 1554299893.695 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299893.695 * * [misc]simplify: iters left: 6 (14 enodes) 1554299893.699 * * [misc]simplify: iters left: 5 (49 enodes) 1554299893.707 * * [misc]simplify: iters left: 4 (58 enodes) 1554299893.723 * * [misc]simplify: iters left: 3 (63 enodes) 1554299893.734 * * [misc]simplify: iters left: 2 (64 enodes) 1554299893.742 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.742 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299893.742 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299893.742 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554299893.742 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299893.742 * * [misc]simplify: Extracting #5: cost 11 inf + 294 1554299893.742 * * [misc]simplify: Extracting #6: cost 6 inf + 863 1554299893.742 * * [misc]simplify: Extracting #7: cost 2 inf + 1835 1554299893.743 * * [misc]simplify: Extracting #8: cost 0 inf + 2443 1554299893.743 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299893.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299893.744 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299893.744 * * [misc]simplify: iters left: 6 (18 enodes) 1554299893.749 * * [misc]simplify: iters left: 5 (64 enodes) 1554299893.759 * * [misc]simplify: iters left: 4 (81 enodes) 1554299893.771 * * [misc]simplify: iters left: 3 (101 enodes) 1554299893.785 * * [misc]simplify: iters left: 2 (120 enodes) 1554299893.819 * * [misc]simplify: iters left: 1 (139 enodes) 1554299893.858 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.858 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299893.858 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299893.859 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299893.859 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299893.860 * * [misc]simplify: Extracting #5: cost 20 inf + 9517 1554299893.865 * * [misc]simplify: Extracting #6: cost 2 inf + 18767 1554299893.870 * * [misc]simplify: Extracting #7: cost 0 inf + 20087 1554299893.874 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299893.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299893.875 * * * * [misc]progress: [ 111 / 621 ] simplifiying candidate # 1554299893.875 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) 1554299893.875 * * [misc]simplify: iters left: 6 (13 enodes) 1554299893.883 * * [misc]simplify: iters left: 5 (46 enodes) 1554299893.897 * * [misc]simplify: iters left: 4 (56 enodes) 1554299893.914 * * [misc]simplify: iters left: 3 (63 enodes) 1554299893.925 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299893.926 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299893.926 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299893.926 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554299893.926 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299893.926 * * [misc]simplify: Extracting #5: cost 10 inf + 335 1554299893.926 * * [misc]simplify: Extracting #6: cost 8 inf + 579 1554299893.926 * * [misc]simplify: Extracting #7: cost 0 inf + 2443 1554299893.927 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299893.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299893.927 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299893.927 * * [misc]simplify: iters left: 6 (18 enodes) 1554299893.932 * * [misc]simplify: iters left: 5 (64 enodes) 1554299893.941 * * [misc]simplify: iters left: 4 (81 enodes) 1554299893.954 * * [misc]simplify: iters left: 3 (101 enodes) 1554299893.968 * * [misc]simplify: iters left: 2 (120 enodes) 1554299893.983 * * [misc]simplify: iters left: 1 (139 enodes) 1554299894.002 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.002 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299894.002 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299894.003 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299894.003 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299894.003 * * [misc]simplify: Extracting #5: cost 20 inf + 9517 1554299894.006 * * [misc]simplify: Extracting #6: cost 2 inf + 18767 1554299894.008 * * [misc]simplify: Extracting #7: cost 0 inf + 20087 1554299894.010 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299894.010 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299894.011 * * * * [misc]progress: [ 112 / 621 ] simplifiying candidate # 1554299894.011 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299894.011 * * [misc]simplify: iters left: 6 (15 enodes) 1554299894.015 * * [misc]simplify: iters left: 5 (54 enodes) 1554299894.024 * * [misc]simplify: iters left: 4 (66 enodes) 1554299894.033 * * [misc]simplify: iters left: 3 (78 enodes) 1554299894.043 * * [misc]simplify: iters left: 2 (80 enodes) 1554299894.053 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.053 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299894.054 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554299894.054 * * [misc]simplify: Extracting #3: cost 29 inf + 43 1554299894.054 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299894.054 * * [misc]simplify: Extracting #5: cost 19 inf + 580 1554299894.054 * * [misc]simplify: Extracting #6: cost 6 inf + 3580 1554299894.055 * * [misc]simplify: Extracting #7: cost 0 inf + 5444 1554299894.056 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) 1554299894.056 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299894.056 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299894.056 * * [misc]simplify: iters left: 6 (17 enodes) 1554299894.061 * * [misc]simplify: iters left: 5 (61 enodes) 1554299894.071 * * [misc]simplify: iters left: 4 (74 enodes) 1554299894.091 * * [misc]simplify: iters left: 3 (85 enodes) 1554299894.120 * * [misc]simplify: iters left: 2 (110 enodes) 1554299894.152 * * [misc]simplify: iters left: 1 (127 enodes) 1554299894.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.186 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299894.186 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299894.186 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299894.186 * * [misc]simplify: Extracting #4: cost 33 inf + 289 1554299894.187 * * [misc]simplify: Extracting #5: cost 21 inf + 908 1554299894.188 * * [misc]simplify: Extracting #6: cost 7 inf + 6912 1554299894.191 * * [misc]simplify: Extracting #7: cost 0 inf + 10512 1554299894.193 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))) 1554299894.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))))) 1554299894.194 * * * * [misc]progress: [ 113 / 621 ] simplifiying candidate # 1554299894.194 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299894.194 * * [misc]simplify: iters left: 6 (16 enodes) 1554299894.202 * * [misc]simplify: iters left: 5 (57 enodes) 1554299894.219 * * [misc]simplify: iters left: 4 (71 enodes) 1554299894.241 * * [misc]simplify: iters left: 3 (96 enodes) 1554299894.274 * * [misc]simplify: iters left: 2 (131 enodes) 1554299894.320 * * [misc]simplify: iters left: 1 (203 enodes) 1554299894.393 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.393 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299894.393 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299894.394 * * [misc]simplify: Extracting #3: cost 48 inf + 44 1554299894.394 * * [misc]simplify: Extracting #4: cost 46 inf + 169 1554299894.394 * * [misc]simplify: Extracting #5: cost 35 inf + 1031 1554299894.395 * * [misc]simplify: Extracting #6: cost 14 inf + 6704 1554299894.398 * * [misc]simplify: Extracting #7: cost 0 inf + 10833 1554299894.401 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299894.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299894.402 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299894.402 * * [misc]simplify: iters left: 6 (16 enodes) 1554299894.410 * * [misc]simplify: iters left: 5 (56 enodes) 1554299894.423 * * [misc]simplify: iters left: 4 (65 enodes) 1554299894.434 * * [misc]simplify: iters left: 3 (67 enodes) 1554299894.443 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.443 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299894.443 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299894.443 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299894.443 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299894.443 * * [misc]simplify: Extracting #5: cost 13 inf + 908 1554299894.444 * * [misc]simplify: Extracting #6: cost 2 inf + 5889 1554299894.445 * * [misc]simplify: Extracting #7: cost 0 inf + 6878 1554299894.445 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554299894.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))))) 1554299894.445 * * * * [misc]progress: [ 114 / 621 ] simplifiying candidate # 1554299894.446 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299894.446 * * [misc]simplify: iters left: 6 (18 enodes) 1554299894.451 * * [misc]simplify: iters left: 5 (62 enodes) 1554299894.460 * * [misc]simplify: iters left: 4 (72 enodes) 1554299894.472 * * [misc]simplify: iters left: 3 (97 enodes) 1554299894.487 * * [misc]simplify: iters left: 2 (129 enodes) 1554299894.531 * * [misc]simplify: iters left: 1 (202 enodes) 1554299894.591 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.591 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299894.592 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299894.592 * * [misc]simplify: Extracting #3: cost 45 inf + 85 1554299894.592 * * [misc]simplify: Extracting #4: cost 43 inf + 251 1554299894.593 * * [misc]simplify: Extracting #5: cost 30 inf + 1397 1554299894.595 * * [misc]simplify: Extracting #6: cost 8 inf + 7755 1554299894.599 * * [misc]simplify: Extracting #7: cost 0 inf + 10144 1554299894.605 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) 1554299894.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299894.605 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299894.606 * * [misc]simplify: iters left: 6 (16 enodes) 1554299894.614 * * [misc]simplify: iters left: 5 (56 enodes) 1554299894.630 * * [misc]simplify: iters left: 4 (65 enodes) 1554299894.645 * * [misc]simplify: iters left: 3 (67 enodes) 1554299894.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.654 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299894.654 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299894.654 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299894.654 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299894.655 * * [misc]simplify: Extracting #5: cost 13 inf + 908 1554299894.655 * * [misc]simplify: Extracting #6: cost 2 inf + 5889 1554299894.656 * * [misc]simplify: Extracting #7: cost 0 inf + 6878 1554299894.656 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554299894.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))))) 1554299894.656 * * * * [misc]progress: [ 115 / 621 ] simplifiying candidate # 1554299894.658 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299894.658 * * [misc]simplify: iters left: 6 (20 enodes) 1554299894.664 * * [misc]simplify: iters left: 5 (71 enodes) 1554299894.685 * * [misc]simplify: iters left: 4 (85 enodes) 1554299894.708 * * [misc]simplify: iters left: 3 (94 enodes) 1554299894.733 * * [misc]simplify: iters left: 2 (97 enodes) 1554299894.759 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.759 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299894.759 * * [misc]simplify: Extracting #2: cost 24 inf + 0 1554299894.759 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554299894.759 * * [misc]simplify: Extracting #4: cost 37 inf + 4 1554299894.760 * * [misc]simplify: Extracting #5: cost 30 inf + 499 1554299894.760 * * [misc]simplify: Extracting #6: cost 24 inf + 1397 1554299894.761 * * [misc]simplify: Extracting #7: cost 18 inf + 2310 1554299894.762 * * [misc]simplify: Extracting #8: cost 15 inf + 3429 1554299894.764 * * [misc]simplify: Extracting #9: cost 3 inf + 10596 1554299894.767 * * [misc]simplify: Extracting #10: cost 0 inf + 12800 1554299894.770 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299894.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299894.771 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299894.771 * * [misc]simplify: iters left: 6 (19 enodes) 1554299894.780 * * [misc]simplify: iters left: 5 (65 enodes) 1554299894.798 * * [misc]simplify: iters left: 4 (74 enodes) 1554299894.809 * * [misc]simplify: iters left: 3 (76 enodes) 1554299894.819 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.819 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299894.819 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299894.819 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299894.819 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299894.820 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299894.820 * * [misc]simplify: Extracting #6: cost 15 inf + 2533 1554299894.821 * * [misc]simplify: Extracting #7: cost 5 inf + 5791 1554299894.821 * * [misc]simplify: Extracting #8: cost 0 inf + 9412 1554299894.822 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299894.822 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))))) 1554299894.823 * * * * [misc]progress: [ 116 / 621 ] simplifiying candidate # 1554299894.823 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299894.823 * * [misc]simplify: iters left: 6 (19 enodes) 1554299894.828 * * [misc]simplify: iters left: 5 (66 enodes) 1554299894.838 * * [misc]simplify: iters left: 4 (75 enodes) 1554299894.854 * * [misc]simplify: iters left: 3 (77 enodes) 1554299894.875 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.875 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299894.875 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299894.875 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299894.875 * * [misc]simplify: Extracting #4: cost 29 inf + 4 1554299894.876 * * [misc]simplify: Extracting #5: cost 21 inf + 581 1554299894.876 * * [misc]simplify: Extracting #6: cost 11 inf + 2600 1554299894.877 * * [misc]simplify: Extracting #7: cost 5 inf + 4537 1554299894.879 * * [misc]simplify: Extracting #8: cost 0 inf + 7408 1554299894.881 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (sqrt (/ 1 (sqrt PI)))) 1554299894.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299894.881 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299894.882 * * [misc]simplify: iters left: 6 (19 enodes) 1554299894.891 * * [misc]simplify: iters left: 5 (65 enodes) 1554299894.911 * * [misc]simplify: iters left: 4 (74 enodes) 1554299894.932 * * [misc]simplify: iters left: 3 (76 enodes) 1554299894.953 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299894.954 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299894.954 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299894.954 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299894.954 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299894.954 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299894.955 * * [misc]simplify: Extracting #6: cost 15 inf + 2533 1554299894.956 * * [misc]simplify: Extracting #7: cost 5 inf + 5671 1554299894.958 * * [misc]simplify: Extracting #8: cost 0 inf + 9092 1554299894.960 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299894.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))))) 1554299894.960 * * * * [misc]progress: [ 117 / 621 ] simplifiying candidate # 1554299894.960 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299894.961 * * [misc]simplify: iters left: 6 (22 enodes) 1554299894.972 * * [misc]simplify: iters left: 5 (83 enodes) 1554299894.998 * * [misc]simplify: iters left: 4 (130 enodes) 1554299895.041 * * [misc]simplify: iters left: 3 (233 enodes) 1554299895.115 * * [misc]simplify: iters left: 2 (425 enodes) 1554299895.263 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299895.263 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1554299895.264 * * [misc]simplify: Extracting #2: cost 124 inf + 0 1554299895.265 * * [misc]simplify: Extracting #3: cost 135 inf + 1 1554299895.266 * * [misc]simplify: Extracting #4: cost 122 inf + 1588 1554299895.270 * * [misc]simplify: Extracting #5: cost 93 inf + 9327 1554299895.274 * * [misc]simplify: Extracting #6: cost 81 inf + 14611 1554299895.291 * * [misc]simplify: Extracting #7: cost 20 inf + 54545 1554299895.316 * * [misc]simplify: Extracting #8: cost 0 inf + 68587 1554299895.340 * * [misc]simplify: Extracting #9: cost 0 inf + 68507 1554299895.365 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI))))) 1554299895.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299895.365 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299895.366 * * [misc]simplify: iters left: 6 (20 enodes) 1554299895.372 * * [misc]simplify: iters left: 5 (70 enodes) 1554299895.384 * * [misc]simplify: iters left: 4 (87 enodes) 1554299895.397 * * [misc]simplify: iters left: 3 (107 enodes) 1554299895.421 * * [misc]simplify: iters left: 2 (126 enodes) 1554299895.443 * * [misc]simplify: iters left: 1 (145 enodes) 1554299895.465 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299895.465 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299895.465 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299895.465 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299895.466 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299895.466 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299895.468 * * [misc]simplify: Extracting #6: cost 26 inf + 7293 1554299895.470 * * [misc]simplify: Extracting #7: cost 3 inf + 21433 1554299895.473 * * [misc]simplify: Extracting #8: cost 0 inf + 23515 1554299895.477 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299895.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299895.477 * * * * [misc]progress: [ 118 / 621 ] simplifiying candidate # 1554299895.477 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299895.477 * * [misc]simplify: iters left: 6 (21 enodes) 1554299895.482 * * [misc]simplify: iters left: 5 (76 enodes) 1554299895.494 * * [misc]simplify: iters left: 4 (102 enodes) 1554299895.517 * * [misc]simplify: iters left: 3 (155 enodes) 1554299895.552 * * [misc]simplify: iters left: 2 (235 enodes) 1554299895.599 * * [misc]simplify: iters left: 1 (291 enodes) 1554299895.661 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299895.661 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1554299895.661 * * [misc]simplify: Extracting #2: cost 70 inf + 0 1554299895.662 * * [misc]simplify: Extracting #3: cost 81 inf + 1 1554299895.662 * * [misc]simplify: Extracting #4: cost 74 inf + 532 1554299895.664 * * [misc]simplify: Extracting #5: cost 58 inf + 3091 1554299895.667 * * [misc]simplify: Extracting #6: cost 37 inf + 8864 1554299895.673 * * [misc]simplify: Extracting #7: cost 17 inf + 20475 1554299895.684 * * [misc]simplify: Extracting #8: cost 0 inf + 30029 1554299895.695 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554299895.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299895.695 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299895.695 * * [misc]simplify: iters left: 6 (20 enodes) 1554299895.705 * * [misc]simplify: iters left: 5 (70 enodes) 1554299895.725 * * [misc]simplify: iters left: 4 (87 enodes) 1554299895.741 * * [misc]simplify: iters left: 3 (107 enodes) 1554299895.757 * * [misc]simplify: iters left: 2 (126 enodes) 1554299895.792 * * [misc]simplify: iters left: 1 (145 enodes) 1554299895.818 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299895.818 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299895.819 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299895.819 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299895.819 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299895.819 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299895.820 * * [misc]simplify: Extracting #6: cost 26 inf + 7253 1554299895.822 * * [misc]simplify: Extracting #7: cost 3 inf + 20673 1554299895.825 * * [misc]simplify: Extracting #8: cost 0 inf + 22635 1554299895.827 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299895.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299895.828 * * * * [misc]progress: [ 119 / 621 ] simplifiying candidate # 1554299895.828 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299895.828 * * [misc]simplify: iters left: 6 (17 enodes) 1554299895.836 * * [misc]simplify: iters left: 5 (60 enodes) 1554299895.854 * * [misc]simplify: iters left: 4 (84 enodes) 1554299895.870 * * [misc]simplify: iters left: 3 (122 enodes) 1554299895.893 * * [misc]simplify: iters left: 2 (169 enodes) 1554299895.955 * * [misc]simplify: iters left: 1 (236 enodes) 1554299896.034 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.034 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299896.034 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299896.035 * * [misc]simplify: Extracting #3: cost 52 inf + 2 1554299896.035 * * [misc]simplify: Extracting #4: cost 46 inf + 490 1554299896.036 * * [misc]simplify: Extracting #5: cost 29 inf + 2885 1554299896.041 * * [misc]simplify: Extracting #6: cost 8 inf + 8675 1554299896.047 * * [misc]simplify: Extracting #7: cost 0 inf + 11705 1554299896.053 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299896.053 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299896.054 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299896.054 * * [misc]simplify: iters left: 6 (19 enodes) 1554299896.062 * * [misc]simplify: iters left: 5 (67 enodes) 1554299896.076 * * [misc]simplify: iters left: 4 (84 enodes) 1554299896.091 * * [misc]simplify: iters left: 3 (104 enodes) 1554299896.112 * * [misc]simplify: iters left: 2 (123 enodes) 1554299896.128 * * [misc]simplify: iters left: 1 (142 enodes) 1554299896.153 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.153 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299896.153 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299896.153 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299896.154 * * [misc]simplify: Extracting #4: cost 51 inf + 290 1554299896.155 * * [misc]simplify: Extracting #5: cost 31 inf + 3997 1554299896.158 * * [misc]simplify: Extracting #6: cost 9 inf + 15724 1554299896.163 * * [misc]simplify: Extracting #7: cost 0 inf + 21169 1554299896.168 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299896.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299896.169 * * * * [misc]progress: [ 120 / 621 ] simplifiying candidate # 1554299896.169 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299896.169 * * [misc]simplify: iters left: 6 (21 enodes) 1554299896.179 * * [misc]simplify: iters left: 5 (76 enodes) 1554299896.204 * * [misc]simplify: iters left: 4 (101 enodes) 1554299896.222 * * [misc]simplify: iters left: 3 (144 enodes) 1554299896.245 * * [misc]simplify: iters left: 2 (217 enodes) 1554299896.286 * * [misc]simplify: iters left: 1 (282 enodes) 1554299896.342 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.342 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299896.343 * * [misc]simplify: Extracting #2: cost 79 inf + 0 1554299896.343 * * [misc]simplify: Extracting #3: cost 91 inf + 1 1554299896.344 * * [misc]simplify: Extracting #4: cost 83 inf + 536 1554299896.346 * * [misc]simplify: Extracting #5: cost 60 inf + 8371 1554299896.359 * * [misc]simplify: Extracting #6: cost 3 inf + 38626 1554299896.372 * * [misc]simplify: Extracting #7: cost 0 inf + 39938 1554299896.385 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (sqrt (/ 1 (sqrt PI)))) 1554299896.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299896.385 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299896.386 * * [misc]simplify: iters left: 6 (20 enodes) 1554299896.395 * * [misc]simplify: iters left: 5 (70 enodes) 1554299896.416 * * [misc]simplify: iters left: 4 (87 enodes) 1554299896.440 * * [misc]simplify: iters left: 3 (107 enodes) 1554299896.469 * * [misc]simplify: iters left: 2 (126 enodes) 1554299896.498 * * [misc]simplify: iters left: 1 (145 enodes) 1554299896.519 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.519 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299896.519 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299896.519 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299896.519 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299896.519 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299896.520 * * [misc]simplify: Extracting #6: cost 26 inf + 6973 1554299896.523 * * [misc]simplify: Extracting #7: cost 3 inf + 20593 1554299896.529 * * [misc]simplify: Extracting #8: cost 0 inf + 22555 1554299896.535 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299896.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299896.535 * * * * [misc]progress: [ 121 / 621 ] simplifiying candidate # 1554299896.536 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299896.536 * * [misc]simplify: iters left: 6 (20 enodes) 1554299896.545 * * [misc]simplify: iters left: 5 (71 enodes) 1554299896.566 * * [misc]simplify: iters left: 4 (88 enodes) 1554299896.591 * * [misc]simplify: iters left: 3 (108 enodes) 1554299896.622 * * [misc]simplify: iters left: 2 (127 enodes) 1554299896.657 * * [misc]simplify: iters left: 1 (146 enodes) 1554299896.697 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.698 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299896.698 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299896.698 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299896.698 * * [misc]simplify: Extracting #4: cost 50 inf + 373 1554299896.699 * * [misc]simplify: Extracting #5: cost 35 inf + 2379 1554299896.701 * * [misc]simplify: Extracting #6: cost 22 inf + 5362 1554299896.705 * * [misc]simplify: Extracting #7: cost 4 inf + 14925 1554299896.710 * * [misc]simplify: Extracting #8: cost 0 inf + 17060 1554299896.715 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) 1554299896.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299896.715 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299896.716 * * [misc]simplify: iters left: 6 (20 enodes) 1554299896.726 * * [misc]simplify: iters left: 5 (70 enodes) 1554299896.736 * * [misc]simplify: iters left: 4 (87 enodes) 1554299896.749 * * [misc]simplify: iters left: 3 (107 enodes) 1554299896.765 * * [misc]simplify: iters left: 2 (126 enodes) 1554299896.782 * * [misc]simplify: iters left: 1 (145 enodes) 1554299896.803 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.803 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299896.803 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299896.803 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299896.803 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299896.803 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299896.804 * * [misc]simplify: Extracting #6: cost 26 inf + 6933 1554299896.806 * * [misc]simplify: Extracting #7: cost 3 inf + 19833 1554299896.809 * * [misc]simplify: Extracting #8: cost 0 inf + 21675 1554299896.812 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299896.812 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299896.812 * * * * [misc]progress: [ 122 / 621 ] simplifiying candidate # 1554299896.812 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299896.812 * * [misc]simplify: iters left: 6 (16 enodes) 1554299896.816 * * [misc]simplify: iters left: 5 (55 enodes) 1554299896.825 * * [misc]simplify: iters left: 4 (64 enodes) 1554299896.836 * * [misc]simplify: iters left: 3 (75 enodes) 1554299896.854 * * [misc]simplify: iters left: 2 (87 enodes) 1554299896.869 * * [misc]simplify: iters left: 1 (113 enodes) 1554299896.888 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299896.888 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299896.888 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299896.888 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299896.888 * * [misc]simplify: Extracting #4: cost 31 inf + 46 1554299896.888 * * [misc]simplify: Extracting #5: cost 19 inf + 1026 1554299896.889 * * [misc]simplify: Extracting #6: cost 3 inf + 4235 1554299896.891 * * [misc]simplify: Extracting #7: cost 0 inf + 5046 1554299896.892 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) 1554299896.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299896.892 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299896.892 * * [misc]simplify: iters left: 6 (19 enodes) 1554299896.897 * * [misc]simplify: iters left: 5 (67 enodes) 1554299896.917 * * [misc]simplify: iters left: 4 (84 enodes) 1554299896.944 * * [misc]simplify: iters left: 3 (104 enodes) 1554299896.972 * * [misc]simplify: iters left: 2 (123 enodes) 1554299896.993 * * [misc]simplify: iters left: 1 (142 enodes) 1554299897.013 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.013 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299897.013 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299897.013 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299897.013 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554299897.014 * * [misc]simplify: Extracting #5: cost 31 inf + 3797 1554299897.015 * * [misc]simplify: Extracting #6: cost 9 inf + 15004 1554299897.018 * * [misc]simplify: Extracting #7: cost 0 inf + 20209 1554299897.020 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299897.021 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299897.021 * * * * [misc]progress: [ 123 / 621 ] simplifiying candidate # 1554299897.021 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299897.021 * * [misc]simplify: iters left: 6 (19 enodes) 1554299897.031 * * [misc]simplify: iters left: 5 (70 enodes) 1554299897.054 * * [misc]simplify: iters left: 4 (91 enodes) 1554299897.072 * * [misc]simplify: iters left: 3 (123 enodes) 1554299897.100 * * [misc]simplify: iters left: 2 (199 enodes) 1554299897.180 * * [misc]simplify: iters left: 1 (249 enodes) 1554299897.232 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.233 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299897.233 * * [misc]simplify: Extracting #2: cost 56 inf + 1 1554299897.233 * * [misc]simplify: Extracting #3: cost 63 inf + 2 1554299897.234 * * [misc]simplify: Extracting #4: cost 61 inf + 250 1554299897.235 * * [misc]simplify: Extracting #5: cost 55 inf + 1231 1554299897.236 * * [misc]simplify: Extracting #6: cost 48 inf + 1968 1554299897.238 * * [misc]simplify: Extracting #7: cost 36 inf + 6177 1554299897.244 * * [misc]simplify: Extracting #8: cost 0 inf + 25356 1554299897.248 * [exit]simplify: Simplified to (* (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2)))))) 1554299897.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299897.249 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299897.249 * * [misc]simplify: iters left: 6 (19 enodes) 1554299897.255 * * [misc]simplify: iters left: 5 (67 enodes) 1554299897.265 * * [misc]simplify: iters left: 4 (84 enodes) 1554299897.279 * * [misc]simplify: iters left: 3 (104 enodes) 1554299897.306 * * [misc]simplify: iters left: 2 (123 enodes) 1554299897.339 * * [misc]simplify: iters left: 1 (142 enodes) 1554299897.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.374 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299897.374 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299897.374 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299897.374 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299897.375 * * [misc]simplify: Extracting #5: cost 32 inf + 4048 1554299897.377 * * [misc]simplify: Extracting #6: cost 8 inf + 16321 1554299897.379 * * [misc]simplify: Extracting #7: cost 0 inf + 21513 1554299897.382 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299897.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2)))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299897.382 * * * * [misc]progress: [ 124 / 621 ] simplifiying candidate # 1554299897.382 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299897.382 * * [misc]simplify: iters left: 6 (18 enodes) 1554299897.387 * * [misc]simplify: iters left: 5 (65 enodes) 1554299897.398 * * [misc]simplify: iters left: 4 (78 enodes) 1554299897.415 * * [misc]simplify: iters left: 3 (89 enodes) 1554299897.428 * * [misc]simplify: iters left: 2 (114 enodes) 1554299897.449 * * [misc]simplify: iters left: 1 (122 enodes) 1554299897.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.473 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299897.473 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299897.473 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299897.473 * * [misc]simplify: Extracting #4: cost 31 inf + 250 1554299897.473 * * [misc]simplify: Extracting #5: cost 27 inf + 743 1554299897.474 * * [misc]simplify: Extracting #6: cost 17 inf + 2049 1554299897.474 * * [misc]simplify: Extracting #7: cost 7 inf + 5273 1554299897.476 * * [misc]simplify: Extracting #8: cost 1 inf + 7916 1554299897.477 * * [misc]simplify: Extracting #9: cost 0 inf + 8410 1554299897.479 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299897.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299897.479 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299897.479 * * [misc]simplify: iters left: 6 (19 enodes) 1554299897.484 * * [misc]simplify: iters left: 5 (67 enodes) 1554299897.499 * * [misc]simplify: iters left: 4 (84 enodes) 1554299897.523 * * [misc]simplify: iters left: 3 (104 enodes) 1554299897.550 * * [misc]simplify: iters left: 2 (123 enodes) 1554299897.584 * * [misc]simplify: iters left: 1 (142 enodes) 1554299897.625 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.625 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299897.626 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299897.626 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299897.626 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299897.627 * * [misc]simplify: Extracting #5: cost 32 inf + 4008 1554299897.630 * * [misc]simplify: Extracting #6: cost 8 inf + 15761 1554299897.634 * * [misc]simplify: Extracting #7: cost 0 inf + 20633 1554299897.637 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299897.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299897.637 * * * * [misc]progress: [ 125 / 621 ] simplifiying candidate # 1554299897.637 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299897.637 * * [misc]simplify: iters left: 6 (13 enodes) 1554299897.641 * * [misc]simplify: iters left: 5 (44 enodes) 1554299897.647 * * [misc]simplify: iters left: 4 (49 enodes) 1554299897.654 * * [misc]simplify: iters left: 3 (52 enodes) 1554299897.662 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.662 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299897.662 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299897.662 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554299897.663 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554299897.663 * * [misc]simplify: Extracting #5: cost 7 inf + 294 1554299897.663 * * [misc]simplify: Extracting #6: cost 3 inf + 621 1554299897.663 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554299897.664 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554299897.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299897.664 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299897.665 * * [misc]simplify: iters left: 6 (18 enodes) 1554299897.673 * * [misc]simplify: iters left: 5 (64 enodes) 1554299897.692 * * [misc]simplify: iters left: 4 (81 enodes) 1554299897.704 * * [misc]simplify: iters left: 3 (101 enodes) 1554299897.719 * * [misc]simplify: iters left: 2 (120 enodes) 1554299897.748 * * [misc]simplify: iters left: 1 (139 enodes) 1554299897.786 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.786 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299897.786 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299897.787 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299897.787 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299897.789 * * [misc]simplify: Extracting #5: cost 20 inf + 8997 1554299897.793 * * [misc]simplify: Extracting #6: cost 2 inf + 17927 1554299897.798 * * [misc]simplify: Extracting #7: cost 0 inf + 19167 1554299897.803 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299897.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299897.804 * * * * [misc]progress: [ 126 / 621 ] simplifiying candidate # 1554299897.804 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) 1) 1554299897.804 * * [misc]simplify: iters left: 6 (12 enodes) 1554299897.811 * * [misc]simplify: iters left: 5 (41 enodes) 1554299897.825 * * [misc]simplify: iters left: 4 (46 enodes) 1554299897.838 * * [misc]simplify: iters left: 3 (49 enodes) 1554299897.853 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.853 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299897.853 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299897.853 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554299897.853 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554299897.854 * * [misc]simplify: Extracting #5: cost 6 inf + 335 1554299897.854 * * [misc]simplify: Extracting #6: cost 2 inf + 865 1554299897.854 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554299897.855 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554299897.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299897.855 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299897.855 * * [misc]simplify: iters left: 6 (18 enodes) 1554299897.862 * * [misc]simplify: iters left: 5 (64 enodes) 1554299897.872 * * [misc]simplify: iters left: 4 (81 enodes) 1554299897.885 * * [misc]simplify: iters left: 3 (101 enodes) 1554299897.906 * * [misc]simplify: iters left: 2 (120 enodes) 1554299897.922 * * [misc]simplify: iters left: 1 (139 enodes) 1554299897.950 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299897.950 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299897.950 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299897.950 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299897.951 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299897.952 * * [misc]simplify: Extracting #5: cost 20 inf + 8997 1554299897.957 * * [misc]simplify: Extracting #6: cost 2 inf + 17927 1554299897.961 * * [misc]simplify: Extracting #7: cost 0 inf + 19167 1554299897.967 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299897.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299897.967 * * * * [misc]progress: [ 127 / 621 ] simplifiying candidate # 1554299897.968 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299897.968 * * [misc]simplify: iters left: 6 (14 enodes) 1554299897.975 * * [misc]simplify: iters left: 5 (49 enodes) 1554299897.991 * * [misc]simplify: iters left: 4 (56 enodes) 1554299898.006 * * [misc]simplify: iters left: 3 (58 enodes) 1554299898.022 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.022 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299898.022 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299898.022 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554299898.023 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554299898.023 * * [misc]simplify: Extracting #5: cost 11 inf + 540 1554299898.024 * * [misc]simplify: Extracting #6: cost 1 inf + 2371 1554299898.025 * * [misc]simplify: Extracting #7: cost 0 inf + 2696 1554299898.026 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299898.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299898.026 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299898.026 * * [misc]simplify: iters left: 6 (17 enodes) 1554299898.035 * * [misc]simplify: iters left: 5 (61 enodes) 1554299898.047 * * [misc]simplify: iters left: 4 (74 enodes) 1554299898.058 * * [misc]simplify: iters left: 3 (85 enodes) 1554299898.072 * * [misc]simplify: iters left: 2 (110 enodes) 1554299898.088 * * [misc]simplify: iters left: 1 (127 enodes) 1554299898.118 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.118 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299898.119 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299898.119 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299898.119 * * [misc]simplify: Extracting #4: cost 33 inf + 249 1554299898.119 * * [misc]simplify: Extracting #5: cost 21 inf + 828 1554299898.120 * * [misc]simplify: Extracting #6: cost 7 inf + 6592 1554299898.123 * * [misc]simplify: Extracting #7: cost 0 inf + 10032 1554299898.125 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))) 1554299898.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))))) 1554299898.126 * * * * [misc]progress: [ 128 / 621 ] simplifiying candidate # 1554299898.126 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299898.126 * * [misc]simplify: iters left: 6 (15 enodes) 1554299898.134 * * [misc]simplify: iters left: 5 (52 enodes) 1554299898.150 * * [misc]simplify: iters left: 4 (61 enodes) 1554299898.168 * * [misc]simplify: iters left: 3 (72 enodes) 1554299898.189 * * [misc]simplify: iters left: 2 (84 enodes) 1554299898.217 * * [misc]simplify: iters left: 1 (110 enodes) 1554299898.236 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.236 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299898.236 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299898.236 * * [misc]simplify: Extracting #3: cost 28 inf + 85 1554299898.237 * * [misc]simplify: Extracting #4: cost 26 inf + 251 1554299898.237 * * [misc]simplify: Extracting #5: cost 16 inf + 908 1554299898.237 * * [misc]simplify: Extracting #6: cost 1 inf + 4160 1554299898.239 * * [misc]simplify: Extracting #7: cost 0 inf + 4404 1554299898.240 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299898.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299898.240 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299898.240 * * [misc]simplify: iters left: 6 (16 enodes) 1554299898.244 * * [misc]simplify: iters left: 5 (56 enodes) 1554299898.252 * * [misc]simplify: iters left: 4 (65 enodes) 1554299898.270 * * [misc]simplify: iters left: 3 (67 enodes) 1554299898.288 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.288 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299898.288 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299898.288 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299898.288 * * [misc]simplify: Extracting #4: cost 23 inf + 332 1554299898.289 * * [misc]simplify: Extracting #5: cost 13 inf + 828 1554299898.290 * * [misc]simplify: Extracting #6: cost 2 inf + 5649 1554299898.291 * * [misc]simplify: Extracting #7: cost 0 inf + 6558 1554299898.292 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554299898.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))))) 1554299898.293 * * * * [misc]progress: [ 129 / 621 ] simplifiying candidate # 1554299898.293 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299898.293 * * [misc]simplify: iters left: 6 (17 enodes) 1554299898.302 * * [misc]simplify: iters left: 5 (57 enodes) 1554299898.318 * * [misc]simplify: iters left: 4 (62 enodes) 1554299898.338 * * [misc]simplify: iters left: 3 (74 enodes) 1554299898.359 * * [misc]simplify: iters left: 2 (86 enodes) 1554299898.372 * * [misc]simplify: iters left: 1 (114 enodes) 1554299898.391 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.391 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299898.391 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299898.391 * * [misc]simplify: Extracting #3: cost 29 inf + 126 1554299898.392 * * [misc]simplify: Extracting #4: cost 27 inf + 251 1554299898.392 * * [misc]simplify: Extracting #5: cost 20 inf + 663 1554299898.393 * * [misc]simplify: Extracting #6: cost 3 inf + 3754 1554299898.394 * * [misc]simplify: Extracting #7: cost 0 inf + 4648 1554299898.395 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) 1554299898.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299898.395 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299898.396 * * [misc]simplify: iters left: 6 (16 enodes) 1554299898.402 * * [misc]simplify: iters left: 5 (56 enodes) 1554299898.418 * * [misc]simplify: iters left: 4 (65 enodes) 1554299898.430 * * [misc]simplify: iters left: 3 (67 enodes) 1554299898.439 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.439 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299898.439 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299898.439 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299898.439 * * [misc]simplify: Extracting #4: cost 23 inf + 332 1554299898.440 * * [misc]simplify: Extracting #5: cost 13 inf + 828 1554299898.440 * * [misc]simplify: Extracting #6: cost 2 inf + 5649 1554299898.441 * * [misc]simplify: Extracting #7: cost 0 inf + 6558 1554299898.441 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554299898.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))))) 1554299898.442 * * * * [misc]progress: [ 130 / 621 ] simplifiying candidate # 1554299898.442 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299898.442 * * [misc]simplify: iters left: 6 (17 enodes) 1554299898.446 * * [misc]simplify: iters left: 5 (59 enodes) 1554299898.455 * * [misc]simplify: iters left: 4 (72 enodes) 1554299898.474 * * [misc]simplify: iters left: 3 (75 enodes) 1554299898.493 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.493 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299898.493 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299898.493 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299898.493 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299898.493 * * [misc]simplify: Extracting #5: cost 17 inf + 295 1554299898.494 * * [misc]simplify: Extracting #6: cost 12 inf + 1249 1554299898.495 * * [misc]simplify: Extracting #7: cost 2 inf + 5199 1554299898.496 * * [misc]simplify: Extracting #8: cost 0 inf + 6266 1554299898.498 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299898.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299898.499 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299898.499 * * [misc]simplify: iters left: 6 (18 enodes) 1554299898.508 * * [misc]simplify: iters left: 5 (64 enodes) 1554299898.521 * * [misc]simplify: iters left: 4 (78 enodes) 1554299898.532 * * [misc]simplify: iters left: 3 (94 enodes) 1554299898.552 * * [misc]simplify: iters left: 2 (102 enodes) 1554299898.568 * * [misc]simplify: iters left: 1 (114 enodes) 1554299898.583 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.583 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299898.583 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299898.583 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299898.583 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299898.583 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299898.584 * * [misc]simplify: Extracting #6: cost 12 inf + 4481 1554299898.585 * * [misc]simplify: Extracting #7: cost 3 inf + 9883 1554299898.588 * * [misc]simplify: Extracting #8: cost 0 inf + 11984 1554299898.591 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299898.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299898.592 * * * * [misc]progress: [ 131 / 621 ] simplifiying candidate # 1554299898.592 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299898.592 * * [misc]simplify: iters left: 6 (16 enodes) 1554299898.600 * * [misc]simplify: iters left: 5 (54 enodes) 1554299898.608 * * [misc]simplify: iters left: 4 (62 enodes) 1554299898.617 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.617 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299898.617 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299898.617 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299898.617 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299898.617 * * [misc]simplify: Extracting #5: cost 14 inf + 254 1554299898.617 * * [misc]simplify: Extracting #6: cost 8 inf + 1581 1554299898.618 * * [misc]simplify: Extracting #7: cost 1 inf + 3358 1554299898.618 * * [misc]simplify: Extracting #8: cost 0 inf + 3892 1554299898.618 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299898.619 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299898.619 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299898.619 * * [misc]simplify: iters left: 6 (18 enodes) 1554299898.623 * * [misc]simplify: iters left: 5 (64 enodes) 1554299898.638 * * [misc]simplify: iters left: 4 (78 enodes) 1554299898.658 * * [misc]simplify: iters left: 3 (94 enodes) 1554299898.686 * * [misc]simplify: iters left: 2 (102 enodes) 1554299898.713 * * [misc]simplify: iters left: 1 (114 enodes) 1554299898.743 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299898.743 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299898.743 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299898.743 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299898.743 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299898.744 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299898.745 * * [misc]simplify: Extracting #6: cost 12 inf + 4401 1554299898.747 * * [misc]simplify: Extracting #7: cost 3 inf + 9523 1554299898.750 * * [misc]simplify: Extracting #8: cost 0 inf + 11504 1554299898.753 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299898.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299898.753 * * * * [misc]progress: [ 132 / 621 ] simplifiying candidate # 1554299898.754 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299898.754 * * [misc]simplify: iters left: 6 (19 enodes) 1554299898.763 * * [misc]simplify: iters left: 5 (71 enodes) 1554299898.789 * * [misc]simplify: iters left: 4 (112 enodes) 1554299898.826 * * [misc]simplify: iters left: 3 (177 enodes) 1554299898.877 * * [misc]simplify: iters left: 2 (300 enodes) 1554299898.973 * * [misc]simplify: iters left: 1 (453 enodes) 1554299899.145 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299899.145 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299899.145 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299899.145 * * [misc]simplify: Extracting #3: cost 74 inf + 2 1554299899.146 * * [misc]simplify: Extracting #4: cost 72 inf + 47 1554299899.147 * * [misc]simplify: Extracting #5: cost 49 inf + 6348 1554299899.151 * * [misc]simplify: Extracting #6: cost 8 inf + 25998 1554299899.162 * * [misc]simplify: Extracting #7: cost 0 inf + 30389 1554299899.175 * * [misc]simplify: Extracting #8: cost 0 inf + 30349 1554299899.192 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) 1554299899.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299899.192 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299899.192 * * [misc]simplify: iters left: 6 (19 enodes) 1554299899.202 * * [misc]simplify: iters left: 5 (69 enodes) 1554299899.223 * * [misc]simplify: iters left: 4 (93 enodes) 1554299899.251 * * [misc]simplify: iters left: 3 (146 enodes) 1554299899.299 * * [misc]simplify: iters left: 2 (211 enodes) 1554299899.378 * * [misc]simplify: iters left: 1 (309 enodes) 1554299899.479 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299899.479 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299899.479 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299899.479 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299899.480 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299899.480 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299899.483 * * [misc]simplify: Extracting #6: cost 11 inf + 24660 1554299899.492 * * [misc]simplify: Extracting #7: cost 0 inf + 31595 1554299899.503 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299899.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299899.503 * * * * [misc]progress: [ 133 / 621 ] simplifiying candidate # 1554299899.504 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299899.504 * * [misc]simplify: iters left: 6 (18 enodes) 1554299899.514 * * [misc]simplify: iters left: 5 (64 enodes) 1554299899.524 * * [misc]simplify: iters left: 4 (88 enodes) 1554299899.537 * * [misc]simplify: iters left: 3 (122 enodes) 1554299899.567 * * [misc]simplify: iters left: 2 (163 enodes) 1554299899.617 * * [misc]simplify: iters left: 1 (204 enodes) 1554299899.668 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299899.668 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299899.668 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554299899.668 * * [misc]simplify: Extracting #3: cost 45 inf + 2 1554299899.668 * * [misc]simplify: Extracting #4: cost 41 inf + 209 1554299899.669 * * [misc]simplify: Extracting #5: cost 24 inf + 4555 1554299899.671 * * [misc]simplify: Extracting #6: cost 2 inf + 12271 1554299899.673 * * [misc]simplify: Extracting #7: cost 0 inf + 13128 1554299899.675 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1554299899.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299899.676 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299899.676 * * [misc]simplify: iters left: 6 (19 enodes) 1554299899.681 * * [misc]simplify: iters left: 5 (69 enodes) 1554299899.692 * * [misc]simplify: iters left: 4 (93 enodes) 1554299899.713 * * [misc]simplify: iters left: 3 (146 enodes) 1554299899.757 * * [misc]simplify: iters left: 2 (211 enodes) 1554299899.825 * * [misc]simplify: iters left: 1 (309 enodes) 1554299899.926 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299899.927 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299899.927 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299899.928 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299899.928 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299899.930 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299899.936 * * [misc]simplify: Extracting #6: cost 11 inf + 23740 1554299899.947 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299899.958 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299899.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299899.959 * * * * [misc]progress: [ 134 / 621 ] simplifiying candidate # 1554299899.959 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299899.959 * * [misc]simplify: iters left: 6 (13 enodes) 1554299899.966 * * [misc]simplify: iters left: 5 (45 enodes) 1554299899.983 * * [misc]simplify: iters left: 4 (66 enodes) 1554299900.005 * * [misc]simplify: iters left: 3 (93 enodes) 1554299900.043 * * [misc]simplify: iters left: 2 (117 enodes) 1554299900.075 * * [misc]simplify: iters left: 1 (140 enodes) 1554299900.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299900.109 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299900.109 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554299900.109 * * [misc]simplify: Extracting #3: cost 27 inf + 2 1554299900.109 * * [misc]simplify: Extracting #4: cost 22 inf + 167 1554299900.109 * * [misc]simplify: Extracting #5: cost 12 inf + 1266 1554299900.110 * * [misc]simplify: Extracting #6: cost 1 inf + 3775 1554299900.111 * * [misc]simplify: Extracting #7: cost 0 inf + 3977 1554299900.112 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299900.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299900.113 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299900.113 * * [misc]simplify: iters left: 6 (18 enodes) 1554299900.122 * * [misc]simplify: iters left: 5 (66 enodes) 1554299900.135 * * [misc]simplify: iters left: 4 (90 enodes) 1554299900.152 * * [misc]simplify: iters left: 3 (143 enodes) 1554299900.177 * * [misc]simplify: iters left: 2 (208 enodes) 1554299900.248 * * [misc]simplify: iters left: 1 (306 enodes) 1554299900.333 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299900.333 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299900.334 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299900.334 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299900.335 * * [misc]simplify: Extracting #4: cost 62 inf + 778 1554299900.337 * * [misc]simplify: Extracting #5: cost 41 inf + 7034 1554299900.343 * * [misc]simplify: Extracting #6: cost 6 inf + 25006 1554299900.348 * * [misc]simplify: Extracting #7: cost 0 inf + 28449 1554299900.353 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299900.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299900.353 * * * * [misc]progress: [ 135 / 621 ] simplifiying candidate # 1554299900.353 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299900.353 * * [misc]simplify: iters left: 6 (18 enodes) 1554299900.358 * * [misc]simplify: iters left: 5 (64 enodes) 1554299900.378 * * [misc]simplify: iters left: 4 (86 enodes) 1554299900.397 * * [misc]simplify: iters left: 3 (117 enodes) 1554299900.416 * * [misc]simplify: iters left: 2 (169 enodes) 1554299900.467 * * [misc]simplify: iters left: 1 (234 enodes) 1554299900.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299900.536 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299900.536 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554299900.537 * * [misc]simplify: Extracting #3: cost 50 inf + 2 1554299900.537 * * [misc]simplify: Extracting #4: cost 46 inf + 169 1554299900.537 * * [misc]simplify: Extracting #5: cost 30 inf + 5306 1554299900.540 * * [misc]simplify: Extracting #6: cost 5 inf + 14677 1554299900.543 * * [misc]simplify: Extracting #7: cost 0 inf + 17349 1554299900.546 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554299900.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299900.547 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299900.547 * * [misc]simplify: iters left: 6 (19 enodes) 1554299900.553 * * [misc]simplify: iters left: 5 (69 enodes) 1554299900.564 * * [misc]simplify: iters left: 4 (93 enodes) 1554299900.591 * * [misc]simplify: iters left: 3 (146 enodes) 1554299900.628 * * [misc]simplify: iters left: 2 (211 enodes) 1554299900.669 * * [misc]simplify: iters left: 1 (309 enodes) 1554299900.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299900.817 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299900.818 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299900.818 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299900.819 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299900.820 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299900.826 * * [misc]simplify: Extracting #6: cost 11 inf + 23540 1554299900.837 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299900.848 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299900.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299900.849 * * * * [misc]progress: [ 136 / 621 ] simplifiying candidate # 1554299900.849 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299900.849 * * [misc]simplify: iters left: 6 (17 enodes) 1554299900.857 * * [misc]simplify: iters left: 5 (59 enodes) 1554299900.875 * * [misc]simplify: iters left: 4 (75 enodes) 1554299900.897 * * [misc]simplify: iters left: 3 (90 enodes) 1554299900.926 * * [misc]simplify: iters left: 2 (106 enodes) 1554299900.954 * * [misc]simplify: iters left: 1 (124 enodes) 1554299900.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299900.981 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299900.981 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299900.981 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299900.981 * * [misc]simplify: Extracting #4: cost 31 inf + 128 1554299900.982 * * [misc]simplify: Extracting #5: cost 23 inf + 956 1554299900.982 * * [misc]simplify: Extracting #6: cost 7 inf + 5442 1554299900.984 * * [misc]simplify: Extracting #7: cost 0 inf + 8248 1554299900.985 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) 1554299900.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299900.985 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299900.985 * * [misc]simplify: iters left: 6 (19 enodes) 1554299900.990 * * [misc]simplify: iters left: 5 (69 enodes) 1554299901.000 * * [misc]simplify: iters left: 4 (93 enodes) 1554299901.028 * * [misc]simplify: iters left: 3 (146 enodes) 1554299901.082 * * [misc]simplify: iters left: 2 (211 enodes) 1554299901.131 * * [misc]simplify: iters left: 1 (309 enodes) 1554299901.259 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299901.259 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299901.260 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299901.260 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299901.261 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299901.262 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299901.268 * * [misc]simplify: Extracting #6: cost 11 inf + 22620 1554299901.280 * * [misc]simplify: Extracting #7: cost 0 inf + 29035 1554299901.291 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299901.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299901.292 * * * * [misc]progress: [ 137 / 621 ] simplifiying candidate # 1554299901.292 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) 1)) 1554299901.292 * * [misc]simplify: iters left: 6 (12 enodes) 1554299901.300 * * [misc]simplify: iters left: 5 (40 enodes) 1554299901.312 * * [misc]simplify: iters left: 4 (48 enodes) 1554299901.327 * * [misc]simplify: iters left: 3 (56 enodes) 1554299901.343 * * [misc]simplify: iters left: 2 (67 enodes) 1554299901.360 * * [misc]simplify: iters left: 1 (77 enodes) 1554299901.386 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299901.386 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299901.387 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299901.387 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299901.387 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299901.387 * * [misc]simplify: Extracting #5: cost 9 inf + 540 1554299901.388 * * [misc]simplify: Extracting #6: cost 3 inf + 1190 1554299901.389 * * [misc]simplify: Extracting #7: cost 0 inf + 1799 1554299901.390 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554299901.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299901.390 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299901.391 * * [misc]simplify: iters left: 6 (18 enodes) 1554299901.400 * * [misc]simplify: iters left: 5 (66 enodes) 1554299901.421 * * [misc]simplify: iters left: 4 (90 enodes) 1554299901.445 * * [misc]simplify: iters left: 3 (143 enodes) 1554299901.470 * * [misc]simplify: iters left: 2 (208 enodes) 1554299901.533 * * [misc]simplify: iters left: 1 (306 enodes) 1554299901.672 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299901.672 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299901.672 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299901.673 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299901.674 * * [misc]simplify: Extracting #4: cost 62 inf + 658 1554299901.676 * * [misc]simplify: Extracting #5: cost 41 inf + 6514 1554299901.684 * * [misc]simplify: Extracting #6: cost 6 inf + 23806 1554299901.695 * * [misc]simplify: Extracting #7: cost 0 inf + 27169 1554299901.705 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299901.706 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299901.706 * * * * [misc]progress: [ 138 / 621 ] simplifiying candidate # 1554299901.706 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299901.706 * * [misc]simplify: iters left: 6 (16 enodes) 1554299901.712 * * [misc]simplify: iters left: 5 (58 enodes) 1554299901.722 * * [misc]simplify: iters left: 4 (73 enodes) 1554299901.732 * * [misc]simplify: iters left: 3 (82 enodes) 1554299901.746 * * [misc]simplify: iters left: 2 (92 enodes) 1554299901.772 * * [misc]simplify: iters left: 1 (110 enodes) 1554299901.804 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299901.804 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299901.804 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299901.804 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299901.804 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554299901.805 * * [misc]simplify: Extracting #5: cost 24 inf + 376 1554299901.805 * * [misc]simplify: Extracting #6: cost 20 inf + 584 1554299901.806 * * [misc]simplify: Extracting #7: cost 12 inf + 2363 1554299901.807 * * [misc]simplify: Extracting #8: cost 4 inf + 5873 1554299901.809 * * [misc]simplify: Extracting #9: cost 0 inf + 7850 1554299901.810 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) 1554299901.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299901.811 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299901.811 * * [misc]simplify: iters left: 6 (18 enodes) 1554299901.815 * * [misc]simplify: iters left: 5 (66 enodes) 1554299901.827 * * [misc]simplify: iters left: 4 (90 enodes) 1554299901.844 * * [misc]simplify: iters left: 3 (143 enodes) 1554299901.894 * * [misc]simplify: iters left: 2 (208 enodes) 1554299901.976 * * [misc]simplify: iters left: 1 (307 enodes) 1554299902.084 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.084 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299902.084 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299902.084 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299902.085 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299902.086 * * [misc]simplify: Extracting #5: cost 44 inf + 6069 1554299902.089 * * [misc]simplify: Extracting #6: cost 6 inf + 25481 1554299902.094 * * [misc]simplify: Extracting #7: cost 0 inf + 28953 1554299902.102 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) 1554299902.102 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299902.103 * * * * [misc]progress: [ 139 / 621 ] simplifiying candidate # 1554299902.103 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299902.103 * * [misc]simplify: iters left: 6 (15 enodes) 1554299902.111 * * [misc]simplify: iters left: 5 (53 enodes) 1554299902.127 * * [misc]simplify: iters left: 4 (62 enodes) 1554299902.145 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.146 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299902.146 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299902.146 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1554299902.146 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299902.146 * * [misc]simplify: Extracting #5: cost 17 inf + 89 1554299902.146 * * [misc]simplify: Extracting #6: cost 14 inf + 214 1554299902.147 * * [misc]simplify: Extracting #7: cost 4 inf + 2169 1554299902.147 * * [misc]simplify: Extracting #8: cost 0 inf + 3492 1554299902.148 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) 1554299902.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299902.149 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299902.149 * * [misc]simplify: iters left: 6 (18 enodes) 1554299902.157 * * [misc]simplify: iters left: 5 (66 enodes) 1554299902.176 * * [misc]simplify: iters left: 4 (90 enodes) 1554299902.206 * * [misc]simplify: iters left: 3 (143 enodes) 1554299902.254 * * [misc]simplify: iters left: 2 (208 enodes) 1554299902.326 * * [misc]simplify: iters left: 1 (307 enodes) 1554299902.421 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.422 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299902.422 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299902.422 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299902.422 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299902.423 * * [misc]simplify: Extracting #5: cost 44 inf + 5869 1554299902.427 * * [misc]simplify: Extracting #6: cost 6 inf + 24401 1554299902.432 * * [misc]simplify: Extracting #7: cost 0 inf + 27673 1554299902.438 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))) 1554299902.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))))) 1554299902.438 * * * * [misc]progress: [ 140 / 621 ] simplifiying candidate # 1554299902.438 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 1)) 1554299902.439 * * [misc]simplify: iters left: 6 (9 enodes) 1554299902.448 * * [misc]simplify: iters left: 5 (27 enodes) 1554299902.455 * * [misc]simplify: iters left: 4 (29 enodes) 1554299902.462 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.462 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299902.462 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299902.462 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299902.462 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299902.462 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299902.462 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299902.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299902.462 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299902.463 * * [misc]simplify: iters left: 6 (17 enodes) 1554299902.467 * * [misc]simplify: iters left: 5 (63 enodes) 1554299902.476 * * [misc]simplify: iters left: 4 (87 enodes) 1554299902.490 * * [misc]simplify: iters left: 3 (140 enodes) 1554299902.530 * * [misc]simplify: iters left: 2 (205 enodes) 1554299902.587 * * [misc]simplify: iters left: 1 (302 enodes) 1554299902.679 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.679 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299902.679 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299902.679 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299902.680 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299902.681 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299902.684 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299902.693 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299902.702 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299902.702 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299902.702 * * * * [misc]progress: [ 141 / 621 ] simplifiying candidate # 1554299902.702 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554299902.702 * * [misc]simplify: iters left: 6 (8 enodes) 1554299902.705 * * [misc]simplify: iters left: 5 (26 enodes) 1554299902.711 * * [misc]simplify: iters left: 4 (28 enodes) 1554299902.715 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.715 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299902.715 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299902.715 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299902.715 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299902.715 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299902.715 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299902.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299902.715 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299902.715 * * [misc]simplify: iters left: 6 (17 enodes) 1554299902.720 * * [misc]simplify: iters left: 5 (63 enodes) 1554299902.729 * * [misc]simplify: iters left: 4 (87 enodes) 1554299902.757 * * [misc]simplify: iters left: 3 (140 enodes) 1554299902.796 * * [misc]simplify: iters left: 2 (205 enodes) 1554299902.840 * * [misc]simplify: iters left: 1 (302 enodes) 1554299902.966 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299902.966 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299902.966 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299902.967 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299902.968 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299902.969 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299902.976 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299902.986 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299902.996 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299902.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299902.996 * * * * [misc]progress: [ 142 / 621 ] simplifiying candidate # 1554299902.996 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt k)) 1554299902.996 * * [misc]simplify: iters left: 6 (10 enodes) 1554299903.002 * * [misc]simplify: iters left: 5 (34 enodes) 1554299903.015 * * [misc]simplify: iters left: 4 (40 enodes) 1554299903.025 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.025 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299903.026 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299903.026 * * [misc]simplify: Extracting #3: cost 8 inf + 85 1554299903.026 * * [misc]simplify: Extracting #4: cost 6 inf + 87 1554299903.026 * * [misc]simplify: Extracting #5: cost 2 inf + 456 1554299903.026 * * [misc]simplify: Extracting #6: cost 0 inf + 661 1554299903.027 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299903.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554299903.027 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299903.027 * * [misc]simplify: iters left: 6 (16 enodes) 1554299903.035 * * [misc]simplify: iters left: 5 (60 enodes) 1554299903.049 * * [misc]simplify: iters left: 4 (75 enodes) 1554299903.060 * * [misc]simplify: iters left: 3 (93 enodes) 1554299903.081 * * [misc]simplify: iters left: 2 (116 enodes) 1554299903.116 * * [misc]simplify: iters left: 1 (131 enodes) 1554299903.155 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.155 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299903.155 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299903.155 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299903.156 * * [misc]simplify: Extracting #4: cost 29 inf + 251 1554299903.156 * * [misc]simplify: Extracting #5: cost 22 inf + 795 1554299903.158 * * [misc]simplify: Extracting #6: cost 4 inf + 7315 1554299903.161 * * [misc]simplify: Extracting #7: cost 0 inf + 9142 1554299903.163 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))) 1554299903.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))))) 1554299903.164 * * * * [misc]progress: [ 143 / 621 ] simplifiying candidate # 1554299903.164 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) 1)) 1554299903.164 * * [misc]simplify: iters left: 6 (11 enodes) 1554299903.170 * * [misc]simplify: iters left: 5 (37 enodes) 1554299903.181 * * [misc]simplify: iters left: 4 (45 enodes) 1554299903.188 * * [misc]simplify: iters left: 3 (53 enodes) 1554299903.196 * * [misc]simplify: iters left: 2 (64 enodes) 1554299903.204 * * [misc]simplify: iters left: 1 (74 enodes) 1554299903.225 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.225 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299903.225 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299903.225 * * [misc]simplify: Extracting #3: cost 13 inf + 167 1554299903.226 * * [misc]simplify: Extracting #4: cost 10 inf + 251 1554299903.226 * * [misc]simplify: Extracting #5: cost 2 inf + 1111 1554299903.227 * * [misc]simplify: Extracting #6: cost 0 inf + 1397 1554299903.228 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299903.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299903.228 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299903.229 * * [misc]simplify: iters left: 6 (15 enodes) 1554299903.236 * * [misc]simplify: iters left: 5 (55 enodes) 1554299903.252 * * [misc]simplify: iters left: 4 (69 enodes) 1554299903.274 * * [misc]simplify: iters left: 3 (85 enodes) 1554299903.298 * * [misc]simplify: iters left: 2 (93 enodes) 1554299903.324 * * [misc]simplify: iters left: 1 (105 enodes) 1554299903.352 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.352 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299903.352 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299903.353 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299903.353 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299903.353 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299903.355 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299903.357 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299903.359 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299903.359 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299903.359 * * * * [misc]progress: [ 144 / 621 ] simplifiying candidate # 1554299903.359 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) (pow PI 0))) 1554299903.360 * * [misc]simplify: iters left: 6 (14 enodes) 1554299903.367 * * [misc]simplify: iters left: 5 (45 enodes) 1554299903.379 * * [misc]simplify: iters left: 4 (49 enodes) 1554299903.386 * * [misc]simplify: iters left: 3 (56 enodes) 1554299903.395 * * [misc]simplify: iters left: 2 (64 enodes) 1554299903.403 * * [misc]simplify: iters left: 1 (71 enodes) 1554299903.422 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.422 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299903.422 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299903.422 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1554299903.423 * * [misc]simplify: Extracting #4: cost 12 inf + 87 1554299903.423 * * [misc]simplify: Extracting #5: cost 8 inf + 335 1554299903.424 * * [misc]simplify: Extracting #6: cost 2 inf + 1071 1554299903.425 * * [misc]simplify: Extracting #7: cost 0 inf + 1397 1554299903.426 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299903.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299903.426 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299903.426 * * [misc]simplify: iters left: 6 (15 enodes) 1554299903.435 * * [misc]simplify: iters left: 5 (55 enodes) 1554299903.448 * * [misc]simplify: iters left: 4 (69 enodes) 1554299903.458 * * [misc]simplify: iters left: 3 (85 enodes) 1554299903.470 * * [misc]simplify: iters left: 2 (93 enodes) 1554299903.483 * * [misc]simplify: iters left: 1 (105 enodes) 1554299903.498 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.498 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299903.498 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299903.498 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299903.498 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299903.499 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299903.499 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299903.500 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299903.501 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299903.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299903.502 * * * * [misc]progress: [ 145 / 621 ] simplifiying candidate # 1554299903.502 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299903.502 * * [misc]simplify: iters left: 6 (17 enodes) 1554299903.506 * * [misc]simplify: iters left: 5 (59 enodes) 1554299903.515 * * [misc]simplify: iters left: 4 (72 enodes) 1554299903.525 * * [misc]simplify: iters left: 3 (75 enodes) 1554299903.534 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.534 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299903.534 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299903.534 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299903.534 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299903.534 * * [misc]simplify: Extracting #5: cost 17 inf + 295 1554299903.534 * * [misc]simplify: Extracting #6: cost 12 inf + 1249 1554299903.535 * * [misc]simplify: Extracting #7: cost 2 inf + 5199 1554299903.536 * * [misc]simplify: Extracting #8: cost 0 inf + 6266 1554299903.537 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299903.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299903.537 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299903.537 * * [misc]simplify: iters left: 6 (18 enodes) 1554299903.541 * * [misc]simplify: iters left: 5 (64 enodes) 1554299903.550 * * [misc]simplify: iters left: 4 (78 enodes) 1554299903.562 * * [misc]simplify: iters left: 3 (94 enodes) 1554299903.583 * * [misc]simplify: iters left: 2 (102 enodes) 1554299903.610 * * [misc]simplify: iters left: 1 (114 enodes) 1554299903.628 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.628 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299903.629 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299903.629 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299903.629 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299903.629 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299903.629 * * [misc]simplify: Extracting #6: cost 12 inf + 4481 1554299903.631 * * [misc]simplify: Extracting #7: cost 3 inf + 9883 1554299903.632 * * [misc]simplify: Extracting #8: cost 0 inf + 11984 1554299903.634 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299903.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299903.634 * * * * [misc]progress: [ 146 / 621 ] simplifiying candidate # 1554299903.634 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299903.634 * * [misc]simplify: iters left: 6 (16 enodes) 1554299903.638 * * [misc]simplify: iters left: 5 (54 enodes) 1554299903.646 * * [misc]simplify: iters left: 4 (62 enodes) 1554299903.660 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.660 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299903.660 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299903.660 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299903.660 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299903.660 * * [misc]simplify: Extracting #5: cost 14 inf + 254 1554299903.661 * * [misc]simplify: Extracting #6: cost 8 inf + 1581 1554299903.661 * * [misc]simplify: Extracting #7: cost 1 inf + 3358 1554299903.661 * * [misc]simplify: Extracting #8: cost 0 inf + 3892 1554299903.662 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299903.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299903.662 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299903.662 * * [misc]simplify: iters left: 6 (18 enodes) 1554299903.667 * * [misc]simplify: iters left: 5 (64 enodes) 1554299903.677 * * [misc]simplify: iters left: 4 (78 enodes) 1554299903.689 * * [misc]simplify: iters left: 3 (94 enodes) 1554299903.710 * * [misc]simplify: iters left: 2 (102 enodes) 1554299903.729 * * [misc]simplify: iters left: 1 (114 enodes) 1554299903.744 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299903.744 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299903.744 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299903.744 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299903.745 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299903.745 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299903.745 * * [misc]simplify: Extracting #6: cost 12 inf + 4401 1554299903.746 * * [misc]simplify: Extracting #7: cost 3 inf + 9523 1554299903.748 * * [misc]simplify: Extracting #8: cost 0 inf + 11504 1554299903.749 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299903.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299903.750 * * * * [misc]progress: [ 147 / 621 ] simplifiying candidate # 1554299903.750 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299903.750 * * [misc]simplify: iters left: 6 (19 enodes) 1554299903.756 * * [misc]simplify: iters left: 5 (71 enodes) 1554299903.781 * * [misc]simplify: iters left: 4 (112 enodes) 1554299903.819 * * [misc]simplify: iters left: 3 (177 enodes) 1554299903.880 * * [misc]simplify: iters left: 2 (300 enodes) 1554299903.975 * * [misc]simplify: iters left: 1 (453 enodes) 1554299904.197 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299904.197 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299904.198 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299904.199 * * [misc]simplify: Extracting #3: cost 74 inf + 2 1554299904.199 * * [misc]simplify: Extracting #4: cost 72 inf + 47 1554299904.201 * * [misc]simplify: Extracting #5: cost 49 inf + 6348 1554299904.210 * * [misc]simplify: Extracting #6: cost 8 inf + 25998 1554299904.218 * * [misc]simplify: Extracting #7: cost 0 inf + 30389 1554299904.224 * * [misc]simplify: Extracting #8: cost 0 inf + 30349 1554299904.232 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) 1554299904.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299904.232 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299904.232 * * [misc]simplify: iters left: 6 (19 enodes) 1554299904.237 * * [misc]simplify: iters left: 5 (69 enodes) 1554299904.249 * * [misc]simplify: iters left: 4 (93 enodes) 1554299904.278 * * [misc]simplify: iters left: 3 (146 enodes) 1554299904.326 * * [misc]simplify: iters left: 2 (211 enodes) 1554299904.382 * * [misc]simplify: iters left: 1 (309 enodes) 1554299904.501 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299904.502 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299904.502 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299904.503 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299904.503 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299904.505 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299904.511 * * [misc]simplify: Extracting #6: cost 11 inf + 24660 1554299904.522 * * [misc]simplify: Extracting #7: cost 0 inf + 31595 1554299904.533 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299904.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299904.533 * * * * [misc]progress: [ 148 / 621 ] simplifiying candidate # 1554299904.533 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299904.534 * * [misc]simplify: iters left: 6 (18 enodes) 1554299904.545 * * [misc]simplify: iters left: 5 (64 enodes) 1554299904.564 * * [misc]simplify: iters left: 4 (88 enodes) 1554299904.591 * * [misc]simplify: iters left: 3 (122 enodes) 1554299904.629 * * [misc]simplify: iters left: 2 (163 enodes) 1554299904.679 * * [misc]simplify: iters left: 1 (204 enodes) 1554299904.733 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299904.733 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299904.733 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554299904.734 * * [misc]simplify: Extracting #3: cost 45 inf + 2 1554299904.734 * * [misc]simplify: Extracting #4: cost 41 inf + 209 1554299904.734 * * [misc]simplify: Extracting #5: cost 24 inf + 4555 1554299904.736 * * [misc]simplify: Extracting #6: cost 2 inf + 12271 1554299904.739 * * [misc]simplify: Extracting #7: cost 0 inf + 13128 1554299904.741 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1554299904.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299904.741 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299904.741 * * [misc]simplify: iters left: 6 (19 enodes) 1554299904.746 * * [misc]simplify: iters left: 5 (69 enodes) 1554299904.758 * * [misc]simplify: iters left: 4 (93 enodes) 1554299904.774 * * [misc]simplify: iters left: 3 (146 enodes) 1554299904.807 * * [misc]simplify: iters left: 2 (211 enodes) 1554299904.865 * * [misc]simplify: iters left: 1 (309 enodes) 1554299904.979 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299904.979 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299904.979 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299904.980 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299904.980 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299904.982 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299904.988 * * [misc]simplify: Extracting #6: cost 11 inf + 23740 1554299904.994 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299904.999 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299904.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299904.999 * * * * [misc]progress: [ 149 / 621 ] simplifiying candidate # 1554299904.999 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299905.000 * * [misc]simplify: iters left: 6 (13 enodes) 1554299905.004 * * [misc]simplify: iters left: 5 (45 enodes) 1554299905.011 * * [misc]simplify: iters left: 4 (66 enodes) 1554299905.023 * * [misc]simplify: iters left: 3 (93 enodes) 1554299905.043 * * [misc]simplify: iters left: 2 (117 enodes) 1554299905.061 * * [misc]simplify: iters left: 1 (140 enodes) 1554299905.109 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299905.109 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299905.109 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554299905.109 * * [misc]simplify: Extracting #3: cost 27 inf + 2 1554299905.109 * * [misc]simplify: Extracting #4: cost 22 inf + 167 1554299905.110 * * [misc]simplify: Extracting #5: cost 12 inf + 1266 1554299905.112 * * [misc]simplify: Extracting #6: cost 1 inf + 3775 1554299905.114 * * [misc]simplify: Extracting #7: cost 0 inf + 3977 1554299905.116 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299905.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299905.116 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299905.116 * * [misc]simplify: iters left: 6 (18 enodes) 1554299905.125 * * [misc]simplify: iters left: 5 (66 enodes) 1554299905.146 * * [misc]simplify: iters left: 4 (90 enodes) 1554299905.168 * * [misc]simplify: iters left: 3 (143 enodes) 1554299905.200 * * [misc]simplify: iters left: 2 (208 enodes) 1554299905.268 * * [misc]simplify: iters left: 1 (306 enodes) 1554299905.393 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299905.393 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299905.394 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299905.394 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299905.395 * * [misc]simplify: Extracting #4: cost 62 inf + 778 1554299905.397 * * [misc]simplify: Extracting #5: cost 41 inf + 7034 1554299905.405 * * [misc]simplify: Extracting #6: cost 6 inf + 25006 1554299905.412 * * [misc]simplify: Extracting #7: cost 0 inf + 28449 1554299905.420 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299905.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299905.421 * * * * [misc]progress: [ 150 / 621 ] simplifiying candidate # 1554299905.421 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299905.422 * * [misc]simplify: iters left: 6 (18 enodes) 1554299905.429 * * [misc]simplify: iters left: 5 (64 enodes) 1554299905.445 * * [misc]simplify: iters left: 4 (86 enodes) 1554299905.470 * * [misc]simplify: iters left: 3 (117 enodes) 1554299905.501 * * [misc]simplify: iters left: 2 (169 enodes) 1554299905.538 * * [misc]simplify: iters left: 1 (234 enodes) 1554299905.596 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299905.596 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299905.596 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554299905.596 * * [misc]simplify: Extracting #3: cost 50 inf + 2 1554299905.597 * * [misc]simplify: Extracting #4: cost 46 inf + 169 1554299905.597 * * [misc]simplify: Extracting #5: cost 30 inf + 5306 1554299905.599 * * [misc]simplify: Extracting #6: cost 5 inf + 14677 1554299905.603 * * [misc]simplify: Extracting #7: cost 0 inf + 17349 1554299905.608 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554299905.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299905.609 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299905.609 * * [misc]simplify: iters left: 6 (19 enodes) 1554299905.617 * * [misc]simplify: iters left: 5 (69 enodes) 1554299905.629 * * [misc]simplify: iters left: 4 (93 enodes) 1554299905.646 * * [misc]simplify: iters left: 3 (146 enodes) 1554299905.670 * * [misc]simplify: iters left: 2 (211 enodes) 1554299905.724 * * [misc]simplify: iters left: 1 (309 enodes) 1554299905.825 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299905.825 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299905.825 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299905.826 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299905.826 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299905.827 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299905.830 * * [misc]simplify: Extracting #6: cost 11 inf + 23540 1554299905.835 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299905.841 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299905.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299905.841 * * * * [misc]progress: [ 151 / 621 ] simplifiying candidate # 1554299905.841 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299905.841 * * [misc]simplify: iters left: 6 (17 enodes) 1554299905.845 * * [misc]simplify: iters left: 5 (59 enodes) 1554299905.855 * * [misc]simplify: iters left: 4 (75 enodes) 1554299905.866 * * [misc]simplify: iters left: 3 (90 enodes) 1554299905.883 * * [misc]simplify: iters left: 2 (106 enodes) 1554299905.907 * * [misc]simplify: iters left: 1 (124 enodes) 1554299905.930 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299905.930 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299905.930 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299905.931 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299905.931 * * [misc]simplify: Extracting #4: cost 31 inf + 128 1554299905.931 * * [misc]simplify: Extracting #5: cost 23 inf + 956 1554299905.932 * * [misc]simplify: Extracting #6: cost 7 inf + 5442 1554299905.933 * * [misc]simplify: Extracting #7: cost 0 inf + 8248 1554299905.935 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) 1554299905.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299905.935 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299905.936 * * [misc]simplify: iters left: 6 (19 enodes) 1554299905.943 * * [misc]simplify: iters left: 5 (69 enodes) 1554299905.960 * * [misc]simplify: iters left: 4 (93 enodes) 1554299905.981 * * [misc]simplify: iters left: 3 (146 enodes) 1554299906.008 * * [misc]simplify: iters left: 2 (211 enodes) 1554299906.058 * * [misc]simplify: iters left: 1 (309 enodes) 1554299906.143 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299906.143 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299906.143 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299906.144 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299906.144 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299906.145 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299906.148 * * [misc]simplify: Extracting #6: cost 11 inf + 22620 1554299906.153 * * [misc]simplify: Extracting #7: cost 0 inf + 29035 1554299906.159 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299906.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299906.159 * * * * [misc]progress: [ 152 / 621 ] simplifiying candidate # 1554299906.160 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) 1)) 1554299906.160 * * [misc]simplify: iters left: 6 (12 enodes) 1554299906.164 * * [misc]simplify: iters left: 5 (40 enodes) 1554299906.173 * * [misc]simplify: iters left: 4 (48 enodes) 1554299906.180 * * [misc]simplify: iters left: 3 (56 enodes) 1554299906.188 * * [misc]simplify: iters left: 2 (67 enodes) 1554299906.197 * * [misc]simplify: iters left: 1 (77 enodes) 1554299906.211 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299906.211 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299906.211 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299906.211 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299906.211 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299906.211 * * [misc]simplify: Extracting #5: cost 9 inf + 540 1554299906.212 * * [misc]simplify: Extracting #6: cost 3 inf + 1190 1554299906.213 * * [misc]simplify: Extracting #7: cost 0 inf + 1799 1554299906.214 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554299906.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299906.214 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299906.214 * * [misc]simplify: iters left: 6 (18 enodes) 1554299906.221 * * [misc]simplify: iters left: 5 (66 enodes) 1554299906.239 * * [misc]simplify: iters left: 4 (90 enodes) 1554299906.254 * * [misc]simplify: iters left: 3 (143 enodes) 1554299906.277 * * [misc]simplify: iters left: 2 (208 enodes) 1554299906.332 * * [misc]simplify: iters left: 1 (306 enodes) 1554299906.411 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299906.411 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299906.411 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299906.411 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299906.412 * * [misc]simplify: Extracting #4: cost 62 inf + 658 1554299906.413 * * [misc]simplify: Extracting #5: cost 41 inf + 6514 1554299906.417 * * [misc]simplify: Extracting #6: cost 6 inf + 23806 1554299906.422 * * [misc]simplify: Extracting #7: cost 0 inf + 27169 1554299906.427 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299906.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299906.427 * * * * [misc]progress: [ 153 / 621 ] simplifiying candidate # 1554299906.427 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299906.427 * * [misc]simplify: iters left: 6 (16 enodes) 1554299906.434 * * [misc]simplify: iters left: 5 (58 enodes) 1554299906.443 * * [misc]simplify: iters left: 4 (73 enodes) 1554299906.453 * * [misc]simplify: iters left: 3 (82 enodes) 1554299906.464 * * [misc]simplify: iters left: 2 (92 enodes) 1554299906.480 * * [misc]simplify: iters left: 1 (110 enodes) 1554299906.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299906.503 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299906.503 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299906.503 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299906.503 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554299906.503 * * [misc]simplify: Extracting #5: cost 24 inf + 376 1554299906.504 * * [misc]simplify: Extracting #6: cost 20 inf + 584 1554299906.504 * * [misc]simplify: Extracting #7: cost 12 inf + 2363 1554299906.506 * * [misc]simplify: Extracting #8: cost 4 inf + 5873 1554299906.508 * * [misc]simplify: Extracting #9: cost 0 inf + 7850 1554299906.510 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) 1554299906.510 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299906.511 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299906.511 * * [misc]simplify: iters left: 6 (18 enodes) 1554299906.519 * * [misc]simplify: iters left: 5 (66 enodes) 1554299906.538 * * [misc]simplify: iters left: 4 (90 enodes) 1554299906.565 * * [misc]simplify: iters left: 3 (143 enodes) 1554299906.592 * * [misc]simplify: iters left: 2 (208 enodes) 1554299906.632 * * [misc]simplify: iters left: 1 (307 enodes) 1554299906.731 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299906.731 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299906.731 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299906.732 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299906.732 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299906.733 * * [misc]simplify: Extracting #5: cost 44 inf + 6069 1554299906.741 * * [misc]simplify: Extracting #6: cost 6 inf + 25481 1554299906.751 * * [misc]simplify: Extracting #7: cost 0 inf + 28953 1554299906.762 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) 1554299906.762 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299906.762 * * * * [misc]progress: [ 154 / 621 ] simplifiying candidate # 1554299906.762 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299906.762 * * [misc]simplify: iters left: 6 (15 enodes) 1554299906.770 * * [misc]simplify: iters left: 5 (53 enodes) 1554299906.780 * * [misc]simplify: iters left: 4 (62 enodes) 1554299906.789 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299906.790 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299906.790 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299906.790 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1554299906.790 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299906.790 * * [misc]simplify: Extracting #5: cost 17 inf + 89 1554299906.790 * * [misc]simplify: Extracting #6: cost 14 inf + 214 1554299906.790 * * [misc]simplify: Extracting #7: cost 4 inf + 2169 1554299906.790 * * [misc]simplify: Extracting #8: cost 0 inf + 3492 1554299906.791 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) 1554299906.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299906.791 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299906.791 * * [misc]simplify: iters left: 6 (18 enodes) 1554299906.796 * * [misc]simplify: iters left: 5 (66 enodes) 1554299906.809 * * [misc]simplify: iters left: 4 (90 enodes) 1554299906.839 * * [misc]simplify: iters left: 3 (143 enodes) 1554299906.876 * * [misc]simplify: iters left: 2 (208 enodes) 1554299906.924 * * [misc]simplify: iters left: 1 (307 enodes) 1554299907.036 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.036 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299907.036 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299907.037 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299907.037 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299907.039 * * [misc]simplify: Extracting #5: cost 44 inf + 5869 1554299907.045 * * [misc]simplify: Extracting #6: cost 6 inf + 24401 1554299907.053 * * [misc]simplify: Extracting #7: cost 0 inf + 27673 1554299907.060 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))) 1554299907.060 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))))) 1554299907.060 * * * * [misc]progress: [ 155 / 621 ] simplifiying candidate # 1554299907.060 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 1)) 1554299907.060 * * [misc]simplify: iters left: 6 (9 enodes) 1554299907.063 * * [misc]simplify: iters left: 5 (27 enodes) 1554299907.068 * * [misc]simplify: iters left: 4 (29 enodes) 1554299907.072 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.072 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299907.072 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299907.072 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299907.072 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299907.072 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299907.072 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299907.072 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299907.073 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299907.073 * * [misc]simplify: iters left: 6 (17 enodes) 1554299907.077 * * [misc]simplify: iters left: 5 (63 enodes) 1554299907.086 * * [misc]simplify: iters left: 4 (87 enodes) 1554299907.100 * * [misc]simplify: iters left: 3 (140 enodes) 1554299907.135 * * [misc]simplify: iters left: 2 (205 enodes) 1554299907.194 * * [misc]simplify: iters left: 1 (302 enodes) 1554299907.302 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.302 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299907.302 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299907.303 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299907.303 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299907.304 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299907.307 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299907.312 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299907.317 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299907.317 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299907.317 * * * * [misc]progress: [ 156 / 621 ] simplifiying candidate # 1554299907.317 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554299907.317 * * [misc]simplify: iters left: 6 (8 enodes) 1554299907.320 * * [misc]simplify: iters left: 5 (26 enodes) 1554299907.325 * * [misc]simplify: iters left: 4 (28 enodes) 1554299907.329 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.329 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299907.329 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299907.329 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299907.329 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299907.329 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299907.329 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299907.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299907.330 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299907.330 * * [misc]simplify: iters left: 6 (17 enodes) 1554299907.334 * * [misc]simplify: iters left: 5 (63 enodes) 1554299907.343 * * [misc]simplify: iters left: 4 (87 enodes) 1554299907.363 * * [misc]simplify: iters left: 3 (140 enodes) 1554299907.401 * * [misc]simplify: iters left: 2 (205 enodes) 1554299907.460 * * [misc]simplify: iters left: 1 (302 enodes) 1554299907.541 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.541 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299907.541 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299907.542 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299907.542 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299907.543 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299907.546 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299907.551 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299907.557 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299907.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299907.557 * * * * [misc]progress: [ 157 / 621 ] simplifiying candidate # 1554299907.558 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt k)) 1554299907.558 * * [misc]simplify: iters left: 6 (10 enodes) 1554299907.562 * * [misc]simplify: iters left: 5 (34 enodes) 1554299907.573 * * [misc]simplify: iters left: 4 (40 enodes) 1554299907.578 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.578 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299907.578 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299907.579 * * [misc]simplify: Extracting #3: cost 8 inf + 85 1554299907.579 * * [misc]simplify: Extracting #4: cost 6 inf + 87 1554299907.579 * * [misc]simplify: Extracting #5: cost 2 inf + 456 1554299907.579 * * [misc]simplify: Extracting #6: cost 0 inf + 661 1554299907.579 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299907.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554299907.579 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299907.579 * * [misc]simplify: iters left: 6 (16 enodes) 1554299907.583 * * [misc]simplify: iters left: 5 (60 enodes) 1554299907.592 * * [misc]simplify: iters left: 4 (75 enodes) 1554299907.603 * * [misc]simplify: iters left: 3 (93 enodes) 1554299907.616 * * [misc]simplify: iters left: 2 (116 enodes) 1554299907.635 * * [misc]simplify: iters left: 1 (131 enodes) 1554299907.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.654 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299907.654 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299907.654 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299907.654 * * [misc]simplify: Extracting #4: cost 29 inf + 251 1554299907.654 * * [misc]simplify: Extracting #5: cost 22 inf + 795 1554299907.655 * * [misc]simplify: Extracting #6: cost 4 inf + 7315 1554299907.656 * * [misc]simplify: Extracting #7: cost 0 inf + 9142 1554299907.658 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))) 1554299907.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))))) 1554299907.658 * * * * [misc]progress: [ 158 / 621 ] simplifiying candidate # 1554299907.658 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) 1)) 1554299907.658 * * [misc]simplify: iters left: 6 (11 enodes) 1554299907.661 * * [misc]simplify: iters left: 5 (37 enodes) 1554299907.669 * * [misc]simplify: iters left: 4 (45 enodes) 1554299907.677 * * [misc]simplify: iters left: 3 (53 enodes) 1554299907.684 * * [misc]simplify: iters left: 2 (64 enodes) 1554299907.693 * * [misc]simplify: iters left: 1 (74 enodes) 1554299907.708 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.708 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299907.708 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299907.708 * * [misc]simplify: Extracting #3: cost 13 inf + 167 1554299907.708 * * [misc]simplify: Extracting #4: cost 10 inf + 251 1554299907.709 * * [misc]simplify: Extracting #5: cost 2 inf + 1111 1554299907.710 * * [misc]simplify: Extracting #6: cost 0 inf + 1397 1554299907.710 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299907.710 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299907.711 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299907.711 * * [misc]simplify: iters left: 6 (15 enodes) 1554299907.717 * * [misc]simplify: iters left: 5 (55 enodes) 1554299907.730 * * [misc]simplify: iters left: 4 (69 enodes) 1554299907.749 * * [misc]simplify: iters left: 3 (85 enodes) 1554299907.769 * * [misc]simplify: iters left: 2 (93 enodes) 1554299907.789 * * [misc]simplify: iters left: 1 (105 enodes) 1554299907.813 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.813 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299907.813 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299907.813 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299907.814 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299907.814 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299907.815 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299907.817 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299907.819 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299907.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299907.820 * * * * [misc]progress: [ 159 / 621 ] simplifiying candidate # 1554299907.820 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) (pow PI 0))) 1554299907.820 * * [misc]simplify: iters left: 6 (14 enodes) 1554299907.827 * * [misc]simplify: iters left: 5 (45 enodes) 1554299907.839 * * [misc]simplify: iters left: 4 (49 enodes) 1554299907.850 * * [misc]simplify: iters left: 3 (56 enodes) 1554299907.858 * * [misc]simplify: iters left: 2 (64 enodes) 1554299907.867 * * [misc]simplify: iters left: 1 (71 enodes) 1554299907.877 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.877 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299907.877 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299907.877 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1554299907.877 * * [misc]simplify: Extracting #4: cost 12 inf + 87 1554299907.877 * * [misc]simplify: Extracting #5: cost 8 inf + 335 1554299907.877 * * [misc]simplify: Extracting #6: cost 2 inf + 1071 1554299907.878 * * [misc]simplify: Extracting #7: cost 0 inf + 1397 1554299907.878 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299907.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299907.879 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299907.879 * * [misc]simplify: iters left: 6 (15 enodes) 1554299907.883 * * [misc]simplify: iters left: 5 (55 enodes) 1554299907.895 * * [misc]simplify: iters left: 4 (69 enodes) 1554299907.910 * * [misc]simplify: iters left: 3 (85 enodes) 1554299907.924 * * [misc]simplify: iters left: 2 (93 enodes) 1554299907.937 * * [misc]simplify: iters left: 1 (105 enodes) 1554299907.959 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299907.959 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299907.959 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299907.960 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299907.960 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299907.960 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299907.961 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299907.964 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299907.966 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299907.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299907.966 * * * * [misc]progress: [ 160 / 621 ] simplifiying candidate # 1554299907.966 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299907.967 * * [misc]simplify: iters left: 6 (21 enodes) 1554299907.973 * * [misc]simplify: iters left: 5 (76 enodes) 1554299907.984 * * [misc]simplify: iters left: 4 (97 enodes) 1554299907.998 * * [misc]simplify: iters left: 3 (124 enodes) 1554299908.021 * * [misc]simplify: iters left: 2 (137 enodes) 1554299908.045 * * [misc]simplify: iters left: 1 (139 enodes) 1554299908.072 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.072 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299908.073 * * [misc]simplify: Extracting #2: cost 38 inf + 0 1554299908.073 * * [misc]simplify: Extracting #3: cost 46 inf + 1 1554299908.073 * * [misc]simplify: Extracting #4: cost 49 inf + 4 1554299908.073 * * [misc]simplify: Extracting #5: cost 40 inf + 703 1554299908.073 * * [misc]simplify: Extracting #6: cost 30 inf + 2984 1554299908.074 * * [misc]simplify: Extracting #7: cost 25 inf + 3815 1554299908.075 * * [misc]simplify: Extracting #8: cost 15 inf + 9833 1554299908.077 * * [misc]simplify: Extracting #9: cost 1 inf + 19754 1554299908.080 * * [misc]simplify: Extracting #10: cost 0 inf + 20368 1554299908.083 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299908.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299908.083 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299908.084 * * [misc]simplify: iters left: 6 (19 enodes) 1554299908.088 * * [misc]simplify: iters left: 5 (65 enodes) 1554299908.097 * * [misc]simplify: iters left: 4 (74 enodes) 1554299908.108 * * [misc]simplify: iters left: 3 (76 enodes) 1554299908.121 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.121 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299908.122 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299908.122 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299908.122 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299908.122 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299908.122 * * [misc]simplify: Extracting #6: cost 15 inf + 2613 1554299908.123 * * [misc]simplify: Extracting #7: cost 5 inf + 5991 1554299908.124 * * [misc]simplify: Extracting #8: cost 0 inf + 9732 1554299908.124 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))) 1554299908.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))))) 1554299908.125 * * * * [misc]progress: [ 161 / 621 ] simplifiying candidate # 1554299908.125 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299908.125 * * [misc]simplify: iters left: 6 (20 enodes) 1554299908.130 * * [misc]simplify: iters left: 5 (71 enodes) 1554299908.144 * * [misc]simplify: iters left: 4 (85 enodes) 1554299908.156 * * [misc]simplify: iters left: 3 (97 enodes) 1554299908.171 * * [misc]simplify: iters left: 2 (99 enodes) 1554299908.184 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.184 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299908.184 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554299908.184 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554299908.184 * * [misc]simplify: Extracting #4: cost 37 inf + 4 1554299908.184 * * [misc]simplify: Extracting #5: cost 30 inf + 539 1554299908.185 * * [misc]simplify: Extracting #6: cost 18 inf + 2984 1554299908.185 * * [misc]simplify: Extracting #7: cost 13 inf + 3815 1554299908.186 * * [misc]simplify: Extracting #8: cost 6 inf + 7430 1554299908.187 * * [misc]simplify: Extracting #9: cost 0 inf + 11638 1554299908.189 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299908.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299908.189 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299908.189 * * [misc]simplify: iters left: 6 (19 enodes) 1554299908.194 * * [misc]simplify: iters left: 5 (65 enodes) 1554299908.203 * * [misc]simplify: iters left: 4 (74 enodes) 1554299908.213 * * [misc]simplify: iters left: 3 (76 enodes) 1554299908.224 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.224 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299908.224 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299908.224 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299908.225 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299908.225 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299908.225 * * [misc]simplify: Extracting #6: cost 15 inf + 2613 1554299908.226 * * [misc]simplify: Extracting #7: cost 5 inf + 5871 1554299908.226 * * [misc]simplify: Extracting #8: cost 0 inf + 9412 1554299908.227 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))) 1554299908.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ 1 (sqrt PI)))))) 1554299908.228 * * * * [misc]progress: [ 162 / 621 ] simplifiying candidate # 1554299908.228 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299908.228 * * [misc]simplify: iters left: 6 (23 enodes) 1554299908.233 * * [misc]simplify: iters left: 5 (88 enodes) 1554299908.248 * * [misc]simplify: iters left: 4 (142 enodes) 1554299908.273 * * [misc]simplify: iters left: 3 (285 enodes) 1554299908.356 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.356 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554299908.357 * * [misc]simplify: Extracting #2: cost 165 inf + 0 1554299908.358 * * [misc]simplify: Extracting #3: cost 176 inf + 1 1554299908.359 * * [misc]simplify: Extracting #4: cost 169 inf + 457 1554299908.364 * * [misc]simplify: Extracting #5: cost 145 inf + 6818 1554299908.368 * * [misc]simplify: Extracting #6: cost 95 inf + 33489 1554299908.386 * * [misc]simplify: Extracting #7: cost 16 inf + 90949 1554299908.412 * * [misc]simplify: Extracting #8: cost 0 inf + 102412 1554299908.439 * * [misc]simplify: Extracting #9: cost 0 inf + 102292 1554299908.465 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299908.465 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299908.466 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299908.466 * * [misc]simplify: iters left: 6 (20 enodes) 1554299908.474 * * [misc]simplify: iters left: 5 (70 enodes) 1554299908.487 * * [misc]simplify: iters left: 4 (87 enodes) 1554299908.499 * * [misc]simplify: iters left: 3 (107 enodes) 1554299908.513 * * [misc]simplify: iters left: 2 (126 enodes) 1554299908.529 * * [misc]simplify: iters left: 1 (145 enodes) 1554299908.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.555 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299908.555 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299908.556 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299908.556 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299908.557 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299908.558 * * [misc]simplify: Extracting #6: cost 26 inf + 7573 1554299908.561 * * [misc]simplify: Extracting #7: cost 3 inf + 22233 1554299908.566 * * [misc]simplify: Extracting #8: cost 0 inf + 24435 1554299908.570 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299908.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299908.570 * * * * [misc]progress: [ 163 / 621 ] simplifiying candidate # 1554299908.571 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299908.571 * * [misc]simplify: iters left: 6 (22 enodes) 1554299908.577 * * [misc]simplify: iters left: 5 (81 enodes) 1554299908.591 * * [misc]simplify: iters left: 4 (114 enodes) 1554299908.612 * * [misc]simplify: iters left: 3 (195 enodes) 1554299908.653 * * [misc]simplify: iters left: 2 (371 enodes) 1554299908.769 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.769 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1554299908.769 * * [misc]simplify: Extracting #2: cost 131 inf + 0 1554299908.770 * * [misc]simplify: Extracting #3: cost 143 inf + 1 1554299908.770 * * [misc]simplify: Extracting #4: cost 134 inf + 580 1554299908.772 * * [misc]simplify: Extracting #5: cost 100 inf + 11375 1554299908.775 * * [misc]simplify: Extracting #6: cost 74 inf + 20767 1554299908.780 * * [misc]simplify: Extracting #7: cost 54 inf + 34092 1554299908.798 * * [misc]simplify: Extracting #8: cost 5 inf + 66744 1554299908.810 * * [misc]simplify: Extracting #9: cost 0 inf + 69693 1554299908.833 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI))))))) 1554299908.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299908.834 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299908.834 * * [misc]simplify: iters left: 6 (20 enodes) 1554299908.843 * * [misc]simplify: iters left: 5 (70 enodes) 1554299908.854 * * [misc]simplify: iters left: 4 (87 enodes) 1554299908.874 * * [misc]simplify: iters left: 3 (107 enodes) 1554299908.902 * * [misc]simplify: iters left: 2 (126 enodes) 1554299908.935 * * [misc]simplify: iters left: 1 (145 enodes) 1554299908.972 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299908.972 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299908.972 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299908.972 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299908.973 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299908.973 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299908.975 * * [misc]simplify: Extracting #6: cost 26 inf + 7533 1554299908.979 * * [misc]simplify: Extracting #7: cost 3 inf + 21473 1554299908.985 * * [misc]simplify: Extracting #8: cost 0 inf + 23555 1554299908.990 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299908.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299908.991 * * * * [misc]progress: [ 164 / 621 ] simplifiying candidate # 1554299908.991 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299908.991 * * [misc]simplify: iters left: 6 (18 enodes) 1554299909.000 * * [misc]simplify: iters left: 5 (65 enodes) 1554299909.019 * * [misc]simplify: iters left: 4 (94 enodes) 1554299909.046 * * [misc]simplify: iters left: 3 (154 enodes) 1554299909.089 * * [misc]simplify: iters left: 2 (279 enodes) 1554299909.246 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299909.246 * * [misc]simplify: Extracting #1: cost 46 inf + 0 1554299909.246 * * [misc]simplify: Extracting #2: cost 91 inf + 1 1554299909.247 * * [misc]simplify: Extracting #3: cost 97 inf + 2 1554299909.248 * * [misc]simplify: Extracting #4: cost 93 inf + 171 1554299909.249 * * [misc]simplify: Extracting #5: cost 78 inf + 2361 1554299909.254 * * [misc]simplify: Extracting #6: cost 21 inf + 22108 1554299909.266 * * [misc]simplify: Extracting #7: cost 0 inf + 30554 1554299909.277 * * [misc]simplify: Extracting #8: cost 0 inf + 30514 1554299909.288 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) 1554299909.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299909.289 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299909.289 * * [misc]simplify: iters left: 6 (19 enodes) 1554299909.297 * * [misc]simplify: iters left: 5 (67 enodes) 1554299909.313 * * [misc]simplify: iters left: 4 (84 enodes) 1554299909.333 * * [misc]simplify: iters left: 3 (104 enodes) 1554299909.358 * * [misc]simplify: iters left: 2 (123 enodes) 1554299909.387 * * [misc]simplify: iters left: 1 (142 enodes) 1554299909.406 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299909.407 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299909.407 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299909.407 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299909.407 * * [misc]simplify: Extracting #4: cost 51 inf + 290 1554299909.407 * * [misc]simplify: Extracting #5: cost 31 inf + 4157 1554299909.409 * * [misc]simplify: Extracting #6: cost 9 inf + 16484 1554299909.411 * * [misc]simplify: Extracting #7: cost 0 inf + 22089 1554299909.414 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299909.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299909.414 * * * * [misc]progress: [ 165 / 621 ] simplifiying candidate # 1554299909.414 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299909.415 * * [misc]simplify: iters left: 6 (22 enodes) 1554299909.420 * * [misc]simplify: iters left: 5 (81 enodes) 1554299909.433 * * [misc]simplify: iters left: 4 (113 enodes) 1554299909.459 * * [misc]simplify: iters left: 3 (184 enodes) 1554299909.498 * * [misc]simplify: iters left: 2 (349 enodes) 1554299909.637 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299909.637 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299909.638 * * [misc]simplify: Extracting #2: cost 133 inf + 0 1554299909.639 * * [misc]simplify: Extracting #3: cost 144 inf + 1 1554299909.640 * * [misc]simplify: Extracting #4: cost 132 inf + 783 1554299909.642 * * [misc]simplify: Extracting #5: cost 109 inf + 7022 1554299909.646 * * [misc]simplify: Extracting #6: cost 79 inf + 23195 1554299909.656 * * [misc]simplify: Extracting #7: cost 22 inf + 61446 1554299909.675 * * [misc]simplify: Extracting #8: cost 0 inf + 75311 1554299909.696 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))))) 1554299909.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299909.697 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299909.697 * * [misc]simplify: iters left: 6 (20 enodes) 1554299909.706 * * [misc]simplify: iters left: 5 (70 enodes) 1554299909.720 * * [misc]simplify: iters left: 4 (87 enodes) 1554299909.733 * * [misc]simplify: iters left: 3 (107 enodes) 1554299909.760 * * [misc]simplify: iters left: 2 (126 enodes) 1554299909.787 * * [misc]simplify: iters left: 1 (145 enodes) 1554299909.807 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299909.807 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299909.807 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299909.808 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299909.808 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299909.808 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299909.809 * * [misc]simplify: Extracting #6: cost 26 inf + 7253 1554299909.811 * * [misc]simplify: Extracting #7: cost 3 inf + 21393 1554299909.813 * * [misc]simplify: Extracting #8: cost 0 inf + 23475 1554299909.816 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299909.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299909.816 * * * * [misc]progress: [ 166 / 621 ] simplifiying candidate # 1554299909.816 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299909.817 * * [misc]simplify: iters left: 6 (21 enodes) 1554299909.822 * * [misc]simplify: iters left: 5 (76 enodes) 1554299909.834 * * [misc]simplify: iters left: 4 (100 enodes) 1554299909.851 * * [misc]simplify: iters left: 3 (142 enodes) 1554299909.874 * * [misc]simplify: iters left: 2 (194 enodes) 1554299909.918 * * [misc]simplify: iters left: 1 (257 enodes) 1554299909.985 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299909.985 * * [misc]simplify: Extracting #1: cost 36 inf + 0 1554299909.986 * * [misc]simplify: Extracting #2: cost 71 inf + 0 1554299909.986 * * [misc]simplify: Extracting #3: cost 82 inf + 1 1554299909.986 * * [misc]simplify: Extracting #4: cost 75 inf + 454 1554299909.987 * * [misc]simplify: Extracting #5: cost 55 inf + 4349 1554299909.988 * * [misc]simplify: Extracting #6: cost 37 inf + 9627 1554299909.992 * * [misc]simplify: Extracting #7: cost 15 inf + 21829 1554299909.997 * * [misc]simplify: Extracting #8: cost 0 inf + 30598 1554299910.003 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (* n 2)))) (cbrt (/ 1 (sqrt PI)))) 1554299910.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (* n 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299910.003 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299910.003 * * [misc]simplify: iters left: 6 (20 enodes) 1554299910.008 * * [misc]simplify: iters left: 5 (70 enodes) 1554299910.020 * * [misc]simplify: iters left: 4 (87 enodes) 1554299910.034 * * [misc]simplify: iters left: 3 (107 enodes) 1554299910.049 * * [misc]simplify: iters left: 2 (126 enodes) 1554299910.067 * * [misc]simplify: iters left: 1 (145 enodes) 1554299910.090 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299910.090 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299910.091 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299910.091 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299910.091 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299910.092 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299910.093 * * [misc]simplify: Extracting #6: cost 26 inf + 7213 1554299910.097 * * [misc]simplify: Extracting #7: cost 3 inf + 20633 1554299910.101 * * [misc]simplify: Extracting #8: cost 0 inf + 22595 1554299910.105 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299910.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299910.106 * * * * [misc]progress: [ 167 / 621 ] simplifiying candidate # 1554299910.106 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299910.106 * * [misc]simplify: iters left: 6 (17 enodes) 1554299910.110 * * [misc]simplify: iters left: 5 (60 enodes) 1554299910.119 * * [misc]simplify: iters left: 4 (74 enodes) 1554299910.130 * * [misc]simplify: iters left: 3 (99 enodes) 1554299910.145 * * [misc]simplify: iters left: 2 (134 enodes) 1554299910.169 * * [misc]simplify: iters left: 1 (206 enodes) 1554299910.233 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299910.233 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299910.233 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1554299910.234 * * [misc]simplify: Extracting #3: cost 53 inf + 2 1554299910.234 * * [misc]simplify: Extracting #4: cost 49 inf + 168 1554299910.235 * * [misc]simplify: Extracting #5: cost 36 inf + 1514 1554299910.238 * * [misc]simplify: Extracting #6: cost 13 inf + 7710 1554299910.243 * * [misc]simplify: Extracting #7: cost 2 inf + 11553 1554299910.248 * * [misc]simplify: Extracting #8: cost 0 inf + 12240 1554299910.253 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299910.253 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299910.254 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299910.254 * * [misc]simplify: iters left: 6 (19 enodes) 1554299910.262 * * [misc]simplify: iters left: 5 (67 enodes) 1554299910.283 * * [misc]simplify: iters left: 4 (84 enodes) 1554299910.300 * * [misc]simplify: iters left: 3 (104 enodes) 1554299910.315 * * [misc]simplify: iters left: 2 (123 enodes) 1554299910.333 * * [misc]simplify: iters left: 1 (142 enodes) 1554299910.357 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299910.357 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299910.357 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299910.358 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299910.358 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554299910.358 * * [misc]simplify: Extracting #5: cost 31 inf + 3957 1554299910.360 * * [misc]simplify: Extracting #6: cost 9 inf + 15764 1554299910.362 * * [misc]simplify: Extracting #7: cost 0 inf + 21129 1554299910.366 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299910.366 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299910.366 * * * * [misc]progress: [ 168 / 621 ] simplifiying candidate # 1554299910.366 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299910.367 * * [misc]simplify: iters left: 6 (20 enodes) 1554299910.372 * * [misc]simplify: iters left: 5 (75 enodes) 1554299910.389 * * [misc]simplify: iters left: 4 (103 enodes) 1554299910.421 * * [misc]simplify: iters left: 3 (158 enodes) 1554299910.475 * * [misc]simplify: iters left: 2 (307 enodes) 1554299910.623 * * [misc]simplify: iters left: 1 (466 enodes) 1554299910.826 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299910.826 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1554299910.827 * * [misc]simplify: Extracting #2: cost 92 inf + 1 1554299910.827 * * [misc]simplify: Extracting #3: cost 99 inf + 2 1554299910.828 * * [misc]simplify: Extracting #4: cost 93 inf + 579 1554299910.830 * * [misc]simplify: Extracting #5: cost 81 inf + 3945 1554299910.832 * * [misc]simplify: Extracting #6: cost 53 inf + 14881 1554299910.839 * * [misc]simplify: Extracting #7: cost 6 inf + 42899 1554299910.847 * * [misc]simplify: Extracting #8: cost 0 inf + 46866 1554299910.859 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))))) 1554299910.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299910.859 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299910.860 * * [misc]simplify: iters left: 6 (19 enodes) 1554299910.871 * * [misc]simplify: iters left: 5 (67 enodes) 1554299910.884 * * [misc]simplify: iters left: 4 (84 enodes) 1554299910.896 * * [misc]simplify: iters left: 3 (104 enodes) 1554299910.914 * * [misc]simplify: iters left: 2 (123 enodes) 1554299910.940 * * [misc]simplify: iters left: 1 (142 enodes) 1554299910.961 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299910.961 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299910.961 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299910.961 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299910.962 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299910.963 * * [misc]simplify: Extracting #5: cost 32 inf + 4248 1554299910.965 * * [misc]simplify: Extracting #6: cost 8 inf + 17081 1554299910.970 * * [misc]simplify: Extracting #7: cost 0 inf + 22433 1554299910.974 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299910.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299910.974 * * * * [misc]progress: [ 169 / 621 ] simplifiying candidate # 1554299910.975 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299910.975 * * [misc]simplify: iters left: 6 (19 enodes) 1554299910.983 * * [misc]simplify: iters left: 5 (70 enodes) 1554299911.001 * * [misc]simplify: iters left: 4 (90 enodes) 1554299911.023 * * [misc]simplify: iters left: 3 (117 enodes) 1554299911.056 * * [misc]simplify: iters left: 2 (165 enodes) 1554299911.102 * * [misc]simplify: iters left: 1 (192 enodes) 1554299911.127 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.128 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299911.128 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299911.128 * * [misc]simplify: Extracting #3: cost 53 inf + 2 1554299911.128 * * [misc]simplify: Extracting #4: cost 51 inf + 290 1554299911.128 * * [misc]simplify: Extracting #5: cost 40 inf + 2365 1554299911.129 * * [misc]simplify: Extracting #6: cost 29 inf + 4446 1554299911.131 * * [misc]simplify: Extracting #7: cost 3 inf + 17470 1554299911.134 * * [misc]simplify: Extracting #8: cost 0 inf + 18832 1554299911.137 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) 1554299911.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299911.137 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299911.137 * * [misc]simplify: iters left: 6 (19 enodes) 1554299911.142 * * [misc]simplify: iters left: 5 (67 enodes) 1554299911.153 * * [misc]simplify: iters left: 4 (84 enodes) 1554299911.167 * * [misc]simplify: iters left: 3 (104 enodes) 1554299911.189 * * [misc]simplify: iters left: 2 (123 enodes) 1554299911.216 * * [misc]simplify: iters left: 1 (142 enodes) 1554299911.238 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.238 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299911.238 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299911.239 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299911.239 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299911.239 * * [misc]simplify: Extracting #5: cost 32 inf + 4208 1554299911.241 * * [misc]simplify: Extracting #6: cost 8 inf + 16521 1554299911.243 * * [misc]simplify: Extracting #7: cost 0 inf + 21553 1554299911.246 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299911.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299911.246 * * * * [misc]progress: [ 170 / 621 ] simplifiying candidate # 1554299911.246 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299911.246 * * [misc]simplify: iters left: 6 (14 enodes) 1554299911.250 * * [misc]simplify: iters left: 5 (49 enodes) 1554299911.257 * * [misc]simplify: iters left: 4 (58 enodes) 1554299911.268 * * [misc]simplify: iters left: 3 (63 enodes) 1554299911.278 * * [misc]simplify: iters left: 2 (64 enodes) 1554299911.289 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.289 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299911.289 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299911.289 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554299911.290 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299911.290 * * [misc]simplify: Extracting #5: cost 11 inf + 294 1554299911.290 * * [misc]simplify: Extracting #6: cost 6 inf + 863 1554299911.290 * * [misc]simplify: Extracting #7: cost 2 inf + 1835 1554299911.291 * * [misc]simplify: Extracting #8: cost 0 inf + 2443 1554299911.291 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299911.291 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299911.292 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299911.292 * * [misc]simplify: iters left: 6 (18 enodes) 1554299911.297 * * [misc]simplify: iters left: 5 (64 enodes) 1554299911.309 * * [misc]simplify: iters left: 4 (81 enodes) 1554299911.320 * * [misc]simplify: iters left: 3 (101 enodes) 1554299911.334 * * [misc]simplify: iters left: 2 (120 enodes) 1554299911.353 * * [misc]simplify: iters left: 1 (139 enodes) 1554299911.384 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.384 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299911.384 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299911.384 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299911.385 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299911.386 * * [misc]simplify: Extracting #5: cost 20 inf + 9517 1554299911.389 * * [misc]simplify: Extracting #6: cost 2 inf + 18767 1554299911.393 * * [misc]simplify: Extracting #7: cost 0 inf + 20087 1554299911.397 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299911.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299911.398 * * * * [misc]progress: [ 171 / 621 ] simplifiying candidate # 1554299911.398 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) 1554299911.398 * * [misc]simplify: iters left: 6 (13 enodes) 1554299911.404 * * [misc]simplify: iters left: 5 (46 enodes) 1554299911.412 * * [misc]simplify: iters left: 4 (56 enodes) 1554299911.424 * * [misc]simplify: iters left: 3 (63 enodes) 1554299911.432 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.432 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299911.432 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299911.432 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554299911.432 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299911.432 * * [misc]simplify: Extracting #5: cost 10 inf + 335 1554299911.433 * * [misc]simplify: Extracting #6: cost 8 inf + 579 1554299911.433 * * [misc]simplify: Extracting #7: cost 0 inf + 2443 1554299911.433 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299911.433 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299911.434 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299911.434 * * [misc]simplify: iters left: 6 (18 enodes) 1554299911.440 * * [misc]simplify: iters left: 5 (64 enodes) 1554299911.457 * * [misc]simplify: iters left: 4 (81 enodes) 1554299911.474 * * [misc]simplify: iters left: 3 (101 enodes) 1554299911.487 * * [misc]simplify: iters left: 2 (120 enodes) 1554299911.504 * * [misc]simplify: iters left: 1 (139 enodes) 1554299911.531 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.531 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299911.531 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299911.531 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299911.532 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299911.533 * * [misc]simplify: Extracting #5: cost 20 inf + 9517 1554299911.536 * * [misc]simplify: Extracting #6: cost 2 inf + 18767 1554299911.540 * * [misc]simplify: Extracting #7: cost 0 inf + 20087 1554299911.544 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299911.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (* (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299911.545 * * * * [misc]progress: [ 172 / 621 ] simplifiying candidate # 1554299911.545 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299911.545 * * [misc]simplify: iters left: 6 (15 enodes) 1554299911.553 * * [misc]simplify: iters left: 5 (54 enodes) 1554299911.566 * * [misc]simplify: iters left: 4 (66 enodes) 1554299911.581 * * [misc]simplify: iters left: 3 (78 enodes) 1554299911.599 * * [misc]simplify: iters left: 2 (80 enodes) 1554299911.615 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.615 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299911.615 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554299911.615 * * [misc]simplify: Extracting #3: cost 29 inf + 43 1554299911.616 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299911.616 * * [misc]simplify: Extracting #5: cost 19 inf + 580 1554299911.617 * * [misc]simplify: Extracting #6: cost 6 inf + 3580 1554299911.618 * * [misc]simplify: Extracting #7: cost 0 inf + 5444 1554299911.620 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) 1554299911.620 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299911.620 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299911.620 * * [misc]simplify: iters left: 6 (17 enodes) 1554299911.627 * * [misc]simplify: iters left: 5 (61 enodes) 1554299911.642 * * [misc]simplify: iters left: 4 (74 enodes) 1554299911.659 * * [misc]simplify: iters left: 3 (85 enodes) 1554299911.682 * * [misc]simplify: iters left: 2 (110 enodes) 1554299911.707 * * [misc]simplify: iters left: 1 (127 enodes) 1554299911.728 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.729 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299911.729 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299911.729 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299911.729 * * [misc]simplify: Extracting #4: cost 33 inf + 289 1554299911.729 * * [misc]simplify: Extracting #5: cost 21 inf + 908 1554299911.730 * * [misc]simplify: Extracting #6: cost 7 inf + 6912 1554299911.731 * * [misc]simplify: Extracting #7: cost 0 inf + 10512 1554299911.733 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))) 1554299911.733 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))))) 1554299911.733 * * * * [misc]progress: [ 173 / 621 ] simplifiying candidate # 1554299911.733 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299911.733 * * [misc]simplify: iters left: 6 (16 enodes) 1554299911.737 * * [misc]simplify: iters left: 5 (57 enodes) 1554299911.745 * * [misc]simplify: iters left: 4 (71 enodes) 1554299911.756 * * [misc]simplify: iters left: 3 (96 enodes) 1554299911.772 * * [misc]simplify: iters left: 2 (131 enodes) 1554299911.796 * * [misc]simplify: iters left: 1 (203 enodes) 1554299911.856 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.857 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299911.857 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299911.857 * * [misc]simplify: Extracting #3: cost 48 inf + 44 1554299911.857 * * [misc]simplify: Extracting #4: cost 46 inf + 169 1554299911.858 * * [misc]simplify: Extracting #5: cost 35 inf + 1031 1554299911.859 * * [misc]simplify: Extracting #6: cost 14 inf + 6704 1554299911.863 * * [misc]simplify: Extracting #7: cost 0 inf + 10833 1554299911.867 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299911.867 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299911.868 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299911.868 * * [misc]simplify: iters left: 6 (16 enodes) 1554299911.874 * * [misc]simplify: iters left: 5 (56 enodes) 1554299911.888 * * [misc]simplify: iters left: 4 (65 enodes) 1554299911.902 * * [misc]simplify: iters left: 3 (67 enodes) 1554299911.916 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299911.916 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299911.916 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299911.917 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299911.917 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299911.917 * * [misc]simplify: Extracting #5: cost 13 inf + 908 1554299911.918 * * [misc]simplify: Extracting #6: cost 2 inf + 5889 1554299911.919 * * [misc]simplify: Extracting #7: cost 0 inf + 6878 1554299911.920 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554299911.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))))) 1554299911.920 * * * * [misc]progress: [ 174 / 621 ] simplifiying candidate # 1554299911.920 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299911.921 * * [misc]simplify: iters left: 6 (18 enodes) 1554299911.928 * * [misc]simplify: iters left: 5 (62 enodes) 1554299911.943 * * [misc]simplify: iters left: 4 (72 enodes) 1554299911.961 * * [misc]simplify: iters left: 3 (97 enodes) 1554299911.985 * * [misc]simplify: iters left: 2 (129 enodes) 1554299912.016 * * [misc]simplify: iters left: 1 (202 enodes) 1554299912.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.083 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299912.084 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299912.084 * * [misc]simplify: Extracting #3: cost 45 inf + 85 1554299912.084 * * [misc]simplify: Extracting #4: cost 43 inf + 251 1554299912.085 * * [misc]simplify: Extracting #5: cost 30 inf + 1397 1554299912.088 * * [misc]simplify: Extracting #6: cost 8 inf + 7755 1554299912.092 * * [misc]simplify: Extracting #7: cost 0 inf + 10144 1554299912.097 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) 1554299912.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299912.097 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299912.097 * * [misc]simplify: iters left: 6 (16 enodes) 1554299912.104 * * [misc]simplify: iters left: 5 (56 enodes) 1554299912.117 * * [misc]simplify: iters left: 4 (65 enodes) 1554299912.131 * * [misc]simplify: iters left: 3 (67 enodes) 1554299912.146 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.146 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299912.146 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299912.146 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299912.146 * * [misc]simplify: Extracting #4: cost 23 inf + 372 1554299912.146 * * [misc]simplify: Extracting #5: cost 13 inf + 908 1554299912.147 * * [misc]simplify: Extracting #6: cost 2 inf + 5889 1554299912.148 * * [misc]simplify: Extracting #7: cost 0 inf + 6878 1554299912.149 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554299912.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (cbrt (/ 1 (sqrt PI)))))) 1554299912.150 * * * * [misc]progress: [ 175 / 621 ] simplifiying candidate # 1554299912.150 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299912.150 * * [misc]simplify: iters left: 6 (20 enodes) 1554299912.160 * * [misc]simplify: iters left: 5 (71 enodes) 1554299912.176 * * [misc]simplify: iters left: 4 (85 enodes) 1554299912.195 * * [misc]simplify: iters left: 3 (94 enodes) 1554299912.215 * * [misc]simplify: iters left: 2 (97 enodes) 1554299912.235 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.235 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299912.235 * * [misc]simplify: Extracting #2: cost 24 inf + 0 1554299912.235 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554299912.235 * * [misc]simplify: Extracting #4: cost 37 inf + 4 1554299912.236 * * [misc]simplify: Extracting #5: cost 30 inf + 499 1554299912.236 * * [misc]simplify: Extracting #6: cost 24 inf + 1397 1554299912.237 * * [misc]simplify: Extracting #7: cost 18 inf + 2310 1554299912.237 * * [misc]simplify: Extracting #8: cost 15 inf + 3429 1554299912.239 * * [misc]simplify: Extracting #9: cost 3 inf + 10596 1554299912.242 * * [misc]simplify: Extracting #10: cost 0 inf + 12800 1554299912.245 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299912.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299912.245 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299912.246 * * [misc]simplify: iters left: 6 (19 enodes) 1554299912.253 * * [misc]simplify: iters left: 5 (65 enodes) 1554299912.267 * * [misc]simplify: iters left: 4 (74 enodes) 1554299912.286 * * [misc]simplify: iters left: 3 (76 enodes) 1554299912.298 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.298 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299912.298 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299912.298 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299912.298 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299912.299 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299912.299 * * [misc]simplify: Extracting #6: cost 15 inf + 2533 1554299912.300 * * [misc]simplify: Extracting #7: cost 5 inf + 5791 1554299912.301 * * [misc]simplify: Extracting #8: cost 0 inf + 9412 1554299912.303 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299912.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))))) 1554299912.303 * * * * [misc]progress: [ 176 / 621 ] simplifiying candidate # 1554299912.304 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299912.304 * * [misc]simplify: iters left: 6 (19 enodes) 1554299912.309 * * [misc]simplify: iters left: 5 (66 enodes) 1554299912.318 * * [misc]simplify: iters left: 4 (75 enodes) 1554299912.329 * * [misc]simplify: iters left: 3 (77 enodes) 1554299912.340 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.340 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299912.340 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299912.340 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299912.340 * * [misc]simplify: Extracting #4: cost 29 inf + 4 1554299912.341 * * [misc]simplify: Extracting #5: cost 21 inf + 581 1554299912.341 * * [misc]simplify: Extracting #6: cost 11 inf + 2600 1554299912.342 * * [misc]simplify: Extracting #7: cost 5 inf + 4537 1554299912.343 * * [misc]simplify: Extracting #8: cost 0 inf + 7408 1554299912.345 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (sqrt (/ 1 (sqrt PI)))) 1554299912.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299912.345 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299912.345 * * [misc]simplify: iters left: 6 (19 enodes) 1554299912.352 * * [misc]simplify: iters left: 5 (65 enodes) 1554299912.366 * * [misc]simplify: iters left: 4 (74 enodes) 1554299912.380 * * [misc]simplify: iters left: 3 (76 enodes) 1554299912.390 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.390 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299912.390 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299912.390 * * [misc]simplify: Extracting #3: cost 30 inf + 0 1554299912.390 * * [misc]simplify: Extracting #4: cost 35 inf + 3 1554299912.391 * * [misc]simplify: Extracting #5: cost 26 inf + 296 1554299912.391 * * [misc]simplify: Extracting #6: cost 15 inf + 2533 1554299912.392 * * [misc]simplify: Extracting #7: cost 5 inf + 5671 1554299912.393 * * [misc]simplify: Extracting #8: cost 0 inf + 9092 1554299912.394 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299912.394 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))))) 1554299912.394 * * * * [misc]progress: [ 177 / 621 ] simplifiying candidate # 1554299912.394 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299912.394 * * [misc]simplify: iters left: 6 (22 enodes) 1554299912.399 * * [misc]simplify: iters left: 5 (83 enodes) 1554299912.412 * * [misc]simplify: iters left: 4 (130 enodes) 1554299912.436 * * [misc]simplify: iters left: 3 (233 enodes) 1554299912.512 * * [misc]simplify: iters left: 2 (425 enodes) 1554299912.638 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.638 * * [misc]simplify: Extracting #1: cost 56 inf + 0 1554299912.639 * * [misc]simplify: Extracting #2: cost 124 inf + 0 1554299912.639 * * [misc]simplify: Extracting #3: cost 135 inf + 1 1554299912.640 * * [misc]simplify: Extracting #4: cost 122 inf + 1588 1554299912.641 * * [misc]simplify: Extracting #5: cost 93 inf + 9327 1554299912.644 * * [misc]simplify: Extracting #6: cost 81 inf + 14611 1554299912.654 * * [misc]simplify: Extracting #7: cost 20 inf + 54545 1554299912.675 * * [misc]simplify: Extracting #8: cost 0 inf + 68587 1554299912.697 * * [misc]simplify: Extracting #9: cost 0 inf + 68507 1554299912.718 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI))))) 1554299912.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299912.719 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299912.719 * * [misc]simplify: iters left: 6 (20 enodes) 1554299912.727 * * [misc]simplify: iters left: 5 (70 enodes) 1554299912.745 * * [misc]simplify: iters left: 4 (87 enodes) 1554299912.757 * * [misc]simplify: iters left: 3 (107 enodes) 1554299912.773 * * [misc]simplify: iters left: 2 (126 enodes) 1554299912.799 * * [misc]simplify: iters left: 1 (145 enodes) 1554299912.830 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299912.830 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299912.831 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299912.831 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299912.831 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299912.832 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299912.833 * * [misc]simplify: Extracting #6: cost 26 inf + 7293 1554299912.837 * * [misc]simplify: Extracting #7: cost 3 inf + 21433 1554299912.841 * * [misc]simplify: Extracting #8: cost 0 inf + 23515 1554299912.844 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299912.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (sqrt (/ 1 (sqrt PI))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299912.844 * * * * [misc]progress: [ 178 / 621 ] simplifiying candidate # 1554299912.844 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299912.844 * * [misc]simplify: iters left: 6 (21 enodes) 1554299912.849 * * [misc]simplify: iters left: 5 (76 enodes) 1554299912.861 * * [misc]simplify: iters left: 4 (102 enodes) 1554299912.877 * * [misc]simplify: iters left: 3 (155 enodes) 1554299912.919 * * [misc]simplify: iters left: 2 (235 enodes) 1554299912.981 * * [misc]simplify: iters left: 1 (291 enodes) 1554299913.052 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.052 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1554299913.052 * * [misc]simplify: Extracting #2: cost 70 inf + 0 1554299913.053 * * [misc]simplify: Extracting #3: cost 81 inf + 1 1554299913.053 * * [misc]simplify: Extracting #4: cost 74 inf + 532 1554299913.054 * * [misc]simplify: Extracting #5: cost 58 inf + 3091 1554299913.057 * * [misc]simplify: Extracting #6: cost 37 inf + 8864 1554299913.064 * * [misc]simplify: Extracting #7: cost 17 inf + 20475 1554299913.070 * * [misc]simplify: Extracting #8: cost 0 inf + 30029 1554299913.075 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554299913.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299913.076 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299913.076 * * [misc]simplify: iters left: 6 (20 enodes) 1554299913.080 * * [misc]simplify: iters left: 5 (70 enodes) 1554299913.091 * * [misc]simplify: iters left: 4 (87 enodes) 1554299913.107 * * [misc]simplify: iters left: 3 (107 enodes) 1554299913.121 * * [misc]simplify: iters left: 2 (126 enodes) 1554299913.144 * * [misc]simplify: iters left: 1 (145 enodes) 1554299913.174 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.174 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299913.175 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299913.175 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299913.175 * * [misc]simplify: Extracting #4: cost 55 inf + 208 1554299913.175 * * [misc]simplify: Extracting #5: cost 40 inf + 2237 1554299913.176 * * [misc]simplify: Extracting #6: cost 26 inf + 7253 1554299913.178 * * [misc]simplify: Extracting #7: cost 3 inf + 20673 1554299913.180 * * [misc]simplify: Extracting #8: cost 0 inf + 22635 1554299913.183 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299913.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299913.183 * * * * [misc]progress: [ 179 / 621 ] simplifiying candidate # 1554299913.184 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299913.184 * * [misc]simplify: iters left: 6 (17 enodes) 1554299913.188 * * [misc]simplify: iters left: 5 (60 enodes) 1554299913.200 * * [misc]simplify: iters left: 4 (84 enodes) 1554299913.223 * * [misc]simplify: iters left: 3 (122 enodes) 1554299913.247 * * [misc]simplify: iters left: 2 (169 enodes) 1554299913.278 * * [misc]simplify: iters left: 1 (236 enodes) 1554299913.354 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.354 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299913.354 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299913.355 * * [misc]simplify: Extracting #3: cost 52 inf + 2 1554299913.355 * * [misc]simplify: Extracting #4: cost 46 inf + 490 1554299913.356 * * [misc]simplify: Extracting #5: cost 29 inf + 2885 1554299913.361 * * [misc]simplify: Extracting #6: cost 8 inf + 8675 1554299913.367 * * [misc]simplify: Extracting #7: cost 0 inf + 11705 1554299913.373 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299913.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299913.374 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299913.374 * * [misc]simplify: iters left: 6 (19 enodes) 1554299913.383 * * [misc]simplify: iters left: 5 (67 enodes) 1554299913.401 * * [misc]simplify: iters left: 4 (84 enodes) 1554299913.419 * * [misc]simplify: iters left: 3 (104 enodes) 1554299913.433 * * [misc]simplify: iters left: 2 (123 enodes) 1554299913.461 * * [misc]simplify: iters left: 1 (142 enodes) 1554299913.498 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.498 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299913.498 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299913.499 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299913.499 * * [misc]simplify: Extracting #4: cost 51 inf + 290 1554299913.500 * * [misc]simplify: Extracting #5: cost 31 inf + 3997 1554299913.503 * * [misc]simplify: Extracting #6: cost 9 inf + 15724 1554299913.508 * * [misc]simplify: Extracting #7: cost 0 inf + 21169 1554299913.513 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299913.513 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299913.514 * * * * [misc]progress: [ 180 / 621 ] simplifiying candidate # 1554299913.514 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299913.514 * * [misc]simplify: iters left: 6 (21 enodes) 1554299913.524 * * [misc]simplify: iters left: 5 (76 enodes) 1554299913.547 * * [misc]simplify: iters left: 4 (101 enodes) 1554299913.576 * * [misc]simplify: iters left: 3 (144 enodes) 1554299913.619 * * [misc]simplify: iters left: 2 (217 enodes) 1554299913.661 * * [misc]simplify: iters left: 1 (282 enodes) 1554299913.723 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.723 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299913.724 * * [misc]simplify: Extracting #2: cost 79 inf + 0 1554299913.724 * * [misc]simplify: Extracting #3: cost 91 inf + 1 1554299913.725 * * [misc]simplify: Extracting #4: cost 83 inf + 536 1554299913.727 * * [misc]simplify: Extracting #5: cost 60 inf + 8371 1554299913.737 * * [misc]simplify: Extracting #6: cost 3 inf + 38626 1554299913.745 * * [misc]simplify: Extracting #7: cost 0 inf + 39938 1554299913.754 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (sqrt (/ 1 (sqrt PI)))) 1554299913.754 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299913.754 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299913.754 * * [misc]simplify: iters left: 6 (20 enodes) 1554299913.762 * * [misc]simplify: iters left: 5 (70 enodes) 1554299913.777 * * [misc]simplify: iters left: 4 (87 enodes) 1554299913.791 * * [misc]simplify: iters left: 3 (107 enodes) 1554299913.805 * * [misc]simplify: iters left: 2 (126 enodes) 1554299913.822 * * [misc]simplify: iters left: 1 (145 enodes) 1554299913.845 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.845 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299913.846 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299913.846 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299913.846 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299913.847 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299913.848 * * [misc]simplify: Extracting #6: cost 26 inf + 6973 1554299913.851 * * [misc]simplify: Extracting #7: cost 3 inf + 20593 1554299913.855 * * [misc]simplify: Extracting #8: cost 0 inf + 22555 1554299913.860 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299913.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299913.860 * * * * [misc]progress: [ 181 / 621 ] simplifiying candidate # 1554299913.860 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299913.861 * * [misc]simplify: iters left: 6 (20 enodes) 1554299913.868 * * [misc]simplify: iters left: 5 (71 enodes) 1554299913.880 * * [misc]simplify: iters left: 4 (88 enodes) 1554299913.899 * * [misc]simplify: iters left: 3 (108 enodes) 1554299913.914 * * [misc]simplify: iters left: 2 (127 enodes) 1554299913.932 * * [misc]simplify: iters left: 1 (146 enodes) 1554299913.959 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299913.959 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299913.959 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299913.960 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299913.960 * * [misc]simplify: Extracting #4: cost 50 inf + 373 1554299913.961 * * [misc]simplify: Extracting #5: cost 35 inf + 2379 1554299913.962 * * [misc]simplify: Extracting #6: cost 22 inf + 5362 1554299913.965 * * [misc]simplify: Extracting #7: cost 4 inf + 14925 1554299913.970 * * [misc]simplify: Extracting #8: cost 0 inf + 17060 1554299913.974 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) 1554299913.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299913.975 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299913.975 * * [misc]simplify: iters left: 6 (20 enodes) 1554299913.983 * * [misc]simplify: iters left: 5 (70 enodes) 1554299914.000 * * [misc]simplify: iters left: 4 (87 enodes) 1554299914.017 * * [misc]simplify: iters left: 3 (107 enodes) 1554299914.032 * * [misc]simplify: iters left: 2 (126 enodes) 1554299914.048 * * [misc]simplify: iters left: 1 (145 enodes) 1554299914.068 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.068 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299914.068 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299914.068 * * [misc]simplify: Extracting #3: cost 59 inf + 0 1554299914.068 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299914.069 * * [misc]simplify: Extracting #5: cost 40 inf + 2117 1554299914.069 * * [misc]simplify: Extracting #6: cost 26 inf + 6933 1554299914.071 * * [misc]simplify: Extracting #7: cost 3 inf + 19833 1554299914.074 * * [misc]simplify: Extracting #8: cost 0 inf + 21675 1554299914.077 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299914.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299914.077 * * * * [misc]progress: [ 182 / 621 ] simplifiying candidate # 1554299914.077 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299914.077 * * [misc]simplify: iters left: 6 (16 enodes) 1554299914.081 * * [misc]simplify: iters left: 5 (55 enodes) 1554299914.089 * * [misc]simplify: iters left: 4 (64 enodes) 1554299914.105 * * [misc]simplify: iters left: 3 (75 enodes) 1554299914.122 * * [misc]simplify: iters left: 2 (87 enodes) 1554299914.144 * * [misc]simplify: iters left: 1 (113 enodes) 1554299914.174 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.174 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299914.174 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299914.175 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299914.175 * * [misc]simplify: Extracting #4: cost 31 inf + 46 1554299914.175 * * [misc]simplify: Extracting #5: cost 19 inf + 1026 1554299914.177 * * [misc]simplify: Extracting #6: cost 3 inf + 4235 1554299914.179 * * [misc]simplify: Extracting #7: cost 0 inf + 5046 1554299914.181 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) 1554299914.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299914.182 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299914.182 * * [misc]simplify: iters left: 6 (19 enodes) 1554299914.189 * * [misc]simplify: iters left: 5 (67 enodes) 1554299914.205 * * [misc]simplify: iters left: 4 (84 enodes) 1554299914.227 * * [misc]simplify: iters left: 3 (104 enodes) 1554299914.251 * * [misc]simplify: iters left: 2 (123 enodes) 1554299914.276 * * [misc]simplify: iters left: 1 (142 enodes) 1554299914.297 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.297 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299914.297 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299914.297 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299914.297 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554299914.298 * * [misc]simplify: Extracting #5: cost 31 inf + 3797 1554299914.301 * * [misc]simplify: Extracting #6: cost 9 inf + 15004 1554299914.305 * * [misc]simplify: Extracting #7: cost 0 inf + 20209 1554299914.309 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299914.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299914.310 * * * * [misc]progress: [ 183 / 621 ] simplifiying candidate # 1554299914.310 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299914.310 * * [misc]simplify: iters left: 6 (19 enodes) 1554299914.318 * * [misc]simplify: iters left: 5 (70 enodes) 1554299914.337 * * [misc]simplify: iters left: 4 (91 enodes) 1554299914.354 * * [misc]simplify: iters left: 3 (123 enodes) 1554299914.377 * * [misc]simplify: iters left: 2 (199 enodes) 1554299914.435 * * [misc]simplify: iters left: 1 (249 enodes) 1554299914.501 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.501 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299914.501 * * [misc]simplify: Extracting #2: cost 56 inf + 1 1554299914.501 * * [misc]simplify: Extracting #3: cost 63 inf + 2 1554299914.502 * * [misc]simplify: Extracting #4: cost 61 inf + 250 1554299914.502 * * [misc]simplify: Extracting #5: cost 55 inf + 1231 1554299914.503 * * [misc]simplify: Extracting #6: cost 48 inf + 1968 1554299914.505 * * [misc]simplify: Extracting #7: cost 36 inf + 6177 1554299914.510 * * [misc]simplify: Extracting #8: cost 0 inf + 25356 1554299914.517 * [exit]simplify: Simplified to (* (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2)))))) 1554299914.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299914.517 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299914.518 * * [misc]simplify: iters left: 6 (19 enodes) 1554299914.527 * * [misc]simplify: iters left: 5 (67 enodes) 1554299914.542 * * [misc]simplify: iters left: 4 (84 enodes) 1554299914.560 * * [misc]simplify: iters left: 3 (104 enodes) 1554299914.584 * * [misc]simplify: iters left: 2 (123 enodes) 1554299914.610 * * [misc]simplify: iters left: 1 (142 enodes) 1554299914.644 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.644 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299914.644 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299914.644 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299914.645 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299914.645 * * [misc]simplify: Extracting #5: cost 32 inf + 4048 1554299914.648 * * [misc]simplify: Extracting #6: cost 8 inf + 16321 1554299914.653 * * [misc]simplify: Extracting #7: cost 0 inf + 21513 1554299914.657 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299914.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2)))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299914.657 * * * * [misc]progress: [ 184 / 621 ] simplifiying candidate # 1554299914.657 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299914.658 * * [misc]simplify: iters left: 6 (18 enodes) 1554299914.665 * * [misc]simplify: iters left: 5 (65 enodes) 1554299914.680 * * [misc]simplify: iters left: 4 (78 enodes) 1554299914.698 * * [misc]simplify: iters left: 3 (89 enodes) 1554299914.721 * * [misc]simplify: iters left: 2 (114 enodes) 1554299914.742 * * [misc]simplify: iters left: 1 (122 enodes) 1554299914.758 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.758 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299914.758 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299914.758 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299914.758 * * [misc]simplify: Extracting #4: cost 31 inf + 250 1554299914.758 * * [misc]simplify: Extracting #5: cost 27 inf + 743 1554299914.759 * * [misc]simplify: Extracting #6: cost 17 inf + 2049 1554299914.759 * * [misc]simplify: Extracting #7: cost 7 inf + 5273 1554299914.761 * * [misc]simplify: Extracting #8: cost 1 inf + 7916 1554299914.762 * * [misc]simplify: Extracting #9: cost 0 inf + 8410 1554299914.763 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299914.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299914.764 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299914.764 * * [misc]simplify: iters left: 6 (19 enodes) 1554299914.768 * * [misc]simplify: iters left: 5 (67 enodes) 1554299914.778 * * [misc]simplify: iters left: 4 (84 enodes) 1554299914.797 * * [misc]simplify: iters left: 3 (104 enodes) 1554299914.821 * * [misc]simplify: iters left: 2 (123 enodes) 1554299914.847 * * [misc]simplify: iters left: 1 (142 enodes) 1554299914.871 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.871 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299914.871 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299914.871 * * [misc]simplify: Extracting #3: cost 54 inf + 83 1554299914.871 * * [misc]simplify: Extracting #4: cost 53 inf + 128 1554299914.872 * * [misc]simplify: Extracting #5: cost 32 inf + 4008 1554299914.873 * * [misc]simplify: Extracting #6: cost 8 inf + 15761 1554299914.876 * * [misc]simplify: Extracting #7: cost 0 inf + 20633 1554299914.878 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299914.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) (* (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299914.879 * * * * [misc]progress: [ 185 / 621 ] simplifiying candidate # 1554299914.879 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299914.879 * * [misc]simplify: iters left: 6 (13 enodes) 1554299914.882 * * [misc]simplify: iters left: 5 (44 enodes) 1554299914.893 * * [misc]simplify: iters left: 4 (49 enodes) 1554299914.904 * * [misc]simplify: iters left: 3 (52 enodes) 1554299914.914 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.914 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299914.914 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299914.914 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554299914.914 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554299914.914 * * [misc]simplify: Extracting #5: cost 7 inf + 294 1554299914.914 * * [misc]simplify: Extracting #6: cost 3 inf + 621 1554299914.915 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554299914.915 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554299914.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299914.916 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299914.916 * * [misc]simplify: iters left: 6 (18 enodes) 1554299914.920 * * [misc]simplify: iters left: 5 (64 enodes) 1554299914.929 * * [misc]simplify: iters left: 4 (81 enodes) 1554299914.941 * * [misc]simplify: iters left: 3 (101 enodes) 1554299914.955 * * [misc]simplify: iters left: 2 (120 enodes) 1554299914.970 * * [misc]simplify: iters left: 1 (139 enodes) 1554299914.989 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299914.989 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299914.990 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299914.990 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299914.990 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299914.991 * * [misc]simplify: Extracting #5: cost 20 inf + 8997 1554299914.993 * * [misc]simplify: Extracting #6: cost 2 inf + 17927 1554299914.995 * * [misc]simplify: Extracting #7: cost 0 inf + 19167 1554299914.997 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299914.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299914.998 * * * * [misc]progress: [ 186 / 621 ] simplifiying candidate # 1554299914.998 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) 1) 1554299914.998 * * [misc]simplify: iters left: 6 (12 enodes) 1554299915.001 * * [misc]simplify: iters left: 5 (41 enodes) 1554299915.011 * * [misc]simplify: iters left: 4 (46 enodes) 1554299915.022 * * [misc]simplify: iters left: 3 (49 enodes) 1554299915.034 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.034 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299915.034 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299915.034 * * [misc]simplify: Extracting #3: cost 13 inf + 2 1554299915.034 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554299915.034 * * [misc]simplify: Extracting #5: cost 6 inf + 335 1554299915.034 * * [misc]simplify: Extracting #6: cost 2 inf + 865 1554299915.035 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554299915.035 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554299915.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299915.036 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299915.036 * * [misc]simplify: iters left: 6 (18 enodes) 1554299915.043 * * [misc]simplify: iters left: 5 (64 enodes) 1554299915.058 * * [misc]simplify: iters left: 4 (81 enodes) 1554299915.071 * * [misc]simplify: iters left: 3 (101 enodes) 1554299915.085 * * [misc]simplify: iters left: 2 (120 enodes) 1554299915.101 * * [misc]simplify: iters left: 1 (139 enodes) 1554299915.126 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.126 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299915.126 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299915.126 * * [misc]simplify: Extracting #3: cost 52 inf + 43 1554299915.127 * * [misc]simplify: Extracting #4: cost 50 inf + 169 1554299915.128 * * [misc]simplify: Extracting #5: cost 20 inf + 8997 1554299915.132 * * [misc]simplify: Extracting #6: cost 2 inf + 17927 1554299915.136 * * [misc]simplify: Extracting #7: cost 0 inf + 19167 1554299915.141 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299915.141 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (* (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299915.141 * * * * [misc]progress: [ 187 / 621 ] simplifiying candidate # 1554299915.141 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299915.141 * * [misc]simplify: iters left: 6 (14 enodes) 1554299915.147 * * [misc]simplify: iters left: 5 (49 enodes) 1554299915.157 * * [misc]simplify: iters left: 4 (56 enodes) 1554299915.169 * * [misc]simplify: iters left: 3 (58 enodes) 1554299915.182 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.182 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299915.182 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299915.182 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554299915.182 * * [misc]simplify: Extracting #4: cost 20 inf + 46 1554299915.182 * * [misc]simplify: Extracting #5: cost 11 inf + 540 1554299915.182 * * [misc]simplify: Extracting #6: cost 1 inf + 2371 1554299915.183 * * [misc]simplify: Extracting #7: cost 0 inf + 2696 1554299915.183 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299915.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299915.184 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299915.184 * * [misc]simplify: iters left: 6 (17 enodes) 1554299915.188 * * [misc]simplify: iters left: 5 (61 enodes) 1554299915.197 * * [misc]simplify: iters left: 4 (74 enodes) 1554299915.209 * * [misc]simplify: iters left: 3 (85 enodes) 1554299915.229 * * [misc]simplify: iters left: 2 (110 enodes) 1554299915.255 * * [misc]simplify: iters left: 1 (127 enodes) 1554299915.284 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.284 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299915.284 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299915.284 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299915.285 * * [misc]simplify: Extracting #4: cost 33 inf + 249 1554299915.285 * * [misc]simplify: Extracting #5: cost 21 inf + 828 1554299915.286 * * [misc]simplify: Extracting #6: cost 7 inf + 6592 1554299915.289 * * [misc]simplify: Extracting #7: cost 0 inf + 10032 1554299915.291 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))) 1554299915.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- (/ k 2))))))) 1554299915.291 * * * * [misc]progress: [ 188 / 621 ] simplifiying candidate # 1554299915.292 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299915.292 * * [misc]simplify: iters left: 6 (15 enodes) 1554299915.296 * * [misc]simplify: iters left: 5 (52 enodes) 1554299915.303 * * [misc]simplify: iters left: 4 (61 enodes) 1554299915.312 * * [misc]simplify: iters left: 3 (72 enodes) 1554299915.322 * * [misc]simplify: iters left: 2 (84 enodes) 1554299915.337 * * [misc]simplify: iters left: 1 (110 enodes) 1554299915.354 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.354 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299915.354 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299915.354 * * [misc]simplify: Extracting #3: cost 28 inf + 85 1554299915.354 * * [misc]simplify: Extracting #4: cost 26 inf + 251 1554299915.354 * * [misc]simplify: Extracting #5: cost 16 inf + 908 1554299915.355 * * [misc]simplify: Extracting #6: cost 1 inf + 4160 1554299915.356 * * [misc]simplify: Extracting #7: cost 0 inf + 4404 1554299915.357 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299915.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299915.358 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299915.358 * * [misc]simplify: iters left: 6 (16 enodes) 1554299915.362 * * [misc]simplify: iters left: 5 (56 enodes) 1554299915.370 * * [misc]simplify: iters left: 4 (65 enodes) 1554299915.380 * * [misc]simplify: iters left: 3 (67 enodes) 1554299915.389 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.390 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299915.390 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299915.390 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299915.390 * * [misc]simplify: Extracting #4: cost 23 inf + 332 1554299915.390 * * [misc]simplify: Extracting #5: cost 13 inf + 828 1554299915.390 * * [misc]simplify: Extracting #6: cost 2 inf + 5649 1554299915.391 * * [misc]simplify: Extracting #7: cost 0 inf + 6558 1554299915.392 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554299915.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))))) 1554299915.392 * * * * [misc]progress: [ 189 / 621 ] simplifiying candidate # 1554299915.392 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299915.392 * * [misc]simplify: iters left: 6 (17 enodes) 1554299915.397 * * [misc]simplify: iters left: 5 (57 enodes) 1554299915.410 * * [misc]simplify: iters left: 4 (62 enodes) 1554299915.426 * * [misc]simplify: iters left: 3 (74 enodes) 1554299915.438 * * [misc]simplify: iters left: 2 (86 enodes) 1554299915.450 * * [misc]simplify: iters left: 1 (114 enodes) 1554299915.474 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.474 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299915.475 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299915.475 * * [misc]simplify: Extracting #3: cost 29 inf + 126 1554299915.475 * * [misc]simplify: Extracting #4: cost 27 inf + 251 1554299915.476 * * [misc]simplify: Extracting #5: cost 20 inf + 663 1554299915.477 * * [misc]simplify: Extracting #6: cost 3 inf + 3754 1554299915.480 * * [misc]simplify: Extracting #7: cost 0 inf + 4648 1554299915.481 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) 1554299915.481 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299915.482 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299915.482 * * [misc]simplify: iters left: 6 (16 enodes) 1554299915.486 * * [misc]simplify: iters left: 5 (56 enodes) 1554299915.494 * * [misc]simplify: iters left: 4 (65 enodes) 1554299915.505 * * [misc]simplify: iters left: 3 (67 enodes) 1554299915.514 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.514 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299915.514 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299915.514 * * [misc]simplify: Extracting #3: cost 28 inf + 1 1554299915.515 * * [misc]simplify: Extracting #4: cost 23 inf + 332 1554299915.515 * * [misc]simplify: Extracting #5: cost 13 inf + 828 1554299915.516 * * [misc]simplify: Extracting #6: cost 2 inf + 5649 1554299915.517 * * [misc]simplify: Extracting #7: cost 0 inf + 6558 1554299915.518 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554299915.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (pow PI (/ k 2))) (sqrt (/ 1 (sqrt PI)))))) 1554299915.518 * * * * [misc]progress: [ 190 / 621 ] simplifiying candidate # 1554299915.518 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299915.518 * * [misc]simplify: iters left: 6 (17 enodes) 1554299915.522 * * [misc]simplify: iters left: 5 (59 enodes) 1554299915.531 * * [misc]simplify: iters left: 4 (72 enodes) 1554299915.541 * * [misc]simplify: iters left: 3 (75 enodes) 1554299915.554 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.555 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299915.555 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299915.555 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299915.555 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299915.555 * * [misc]simplify: Extracting #5: cost 17 inf + 295 1554299915.555 * * [misc]simplify: Extracting #6: cost 12 inf + 1249 1554299915.556 * * [misc]simplify: Extracting #7: cost 2 inf + 5199 1554299915.558 * * [misc]simplify: Extracting #8: cost 0 inf + 6266 1554299915.559 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299915.559 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299915.560 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299915.560 * * [misc]simplify: iters left: 6 (18 enodes) 1554299915.568 * * [misc]simplify: iters left: 5 (64 enodes) 1554299915.580 * * [misc]simplify: iters left: 4 (78 enodes) 1554299915.591 * * [misc]simplify: iters left: 3 (94 enodes) 1554299915.606 * * [misc]simplify: iters left: 2 (102 enodes) 1554299915.622 * * [misc]simplify: iters left: 1 (114 enodes) 1554299915.648 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.648 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299915.648 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299915.648 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299915.648 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299915.649 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299915.649 * * [misc]simplify: Extracting #6: cost 12 inf + 4481 1554299915.650 * * [misc]simplify: Extracting #7: cost 3 inf + 9883 1554299915.652 * * [misc]simplify: Extracting #8: cost 0 inf + 11984 1554299915.653 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299915.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299915.653 * * * * [misc]progress: [ 191 / 621 ] simplifiying candidate # 1554299915.653 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299915.654 * * [misc]simplify: iters left: 6 (16 enodes) 1554299915.657 * * [misc]simplify: iters left: 5 (54 enodes) 1554299915.666 * * [misc]simplify: iters left: 4 (62 enodes) 1554299915.681 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.681 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299915.681 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299915.681 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299915.681 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299915.682 * * [misc]simplify: Extracting #5: cost 14 inf + 254 1554299915.682 * * [misc]simplify: Extracting #6: cost 8 inf + 1581 1554299915.682 * * [misc]simplify: Extracting #7: cost 1 inf + 3358 1554299915.683 * * [misc]simplify: Extracting #8: cost 0 inf + 3892 1554299915.683 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299915.683 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299915.683 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299915.683 * * [misc]simplify: iters left: 6 (18 enodes) 1554299915.688 * * [misc]simplify: iters left: 5 (64 enodes) 1554299915.700 * * [misc]simplify: iters left: 4 (78 enodes) 1554299915.713 * * [misc]simplify: iters left: 3 (94 enodes) 1554299915.738 * * [misc]simplify: iters left: 2 (102 enodes) 1554299915.755 * * [misc]simplify: iters left: 1 (114 enodes) 1554299915.770 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299915.770 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299915.770 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299915.770 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299915.770 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299915.770 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299915.771 * * [misc]simplify: Extracting #6: cost 12 inf + 4401 1554299915.772 * * [misc]simplify: Extracting #7: cost 3 inf + 9523 1554299915.773 * * [misc]simplify: Extracting #8: cost 0 inf + 11504 1554299915.775 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299915.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299915.775 * * * * [misc]progress: [ 192 / 621 ] simplifiying candidate # 1554299915.775 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299915.775 * * [misc]simplify: iters left: 6 (19 enodes) 1554299915.780 * * [misc]simplify: iters left: 5 (71 enodes) 1554299915.799 * * [misc]simplify: iters left: 4 (112 enodes) 1554299915.833 * * [misc]simplify: iters left: 3 (177 enodes) 1554299915.882 * * [misc]simplify: iters left: 2 (300 enodes) 1554299915.973 * * [misc]simplify: iters left: 1 (453 enodes) 1554299916.162 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299916.162 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299916.162 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299916.163 * * [misc]simplify: Extracting #3: cost 74 inf + 2 1554299916.163 * * [misc]simplify: Extracting #4: cost 72 inf + 47 1554299916.164 * * [misc]simplify: Extracting #5: cost 49 inf + 6348 1554299916.168 * * [misc]simplify: Extracting #6: cost 8 inf + 25998 1554299916.174 * * [misc]simplify: Extracting #7: cost 0 inf + 30389 1554299916.182 * * [misc]simplify: Extracting #8: cost 0 inf + 30349 1554299916.188 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) 1554299916.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299916.188 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299916.189 * * [misc]simplify: iters left: 6 (19 enodes) 1554299916.193 * * [misc]simplify: iters left: 5 (69 enodes) 1554299916.211 * * [misc]simplify: iters left: 4 (93 enodes) 1554299916.235 * * [misc]simplify: iters left: 3 (146 enodes) 1554299916.276 * * [misc]simplify: iters left: 2 (211 enodes) 1554299916.344 * * [misc]simplify: iters left: 1 (309 enodes) 1554299916.470 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299916.470 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299916.471 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299916.471 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299916.472 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299916.473 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299916.478 * * [misc]simplify: Extracting #6: cost 11 inf + 24660 1554299916.487 * * [misc]simplify: Extracting #7: cost 0 inf + 31595 1554299916.498 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299916.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299916.498 * * * * [misc]progress: [ 193 / 621 ] simplifiying candidate # 1554299916.499 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299916.499 * * [misc]simplify: iters left: 6 (18 enodes) 1554299916.507 * * [misc]simplify: iters left: 5 (64 enodes) 1554299916.524 * * [misc]simplify: iters left: 4 (88 enodes) 1554299916.539 * * [misc]simplify: iters left: 3 (122 enodes) 1554299916.563 * * [misc]simplify: iters left: 2 (163 enodes) 1554299916.605 * * [misc]simplify: iters left: 1 (204 enodes) 1554299916.660 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299916.660 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299916.660 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554299916.661 * * [misc]simplify: Extracting #3: cost 45 inf + 2 1554299916.661 * * [misc]simplify: Extracting #4: cost 41 inf + 209 1554299916.662 * * [misc]simplify: Extracting #5: cost 24 inf + 4555 1554299916.665 * * [misc]simplify: Extracting #6: cost 2 inf + 12271 1554299916.669 * * [misc]simplify: Extracting #7: cost 0 inf + 13128 1554299916.673 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1554299916.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299916.674 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299916.674 * * [misc]simplify: iters left: 6 (19 enodes) 1554299916.681 * * [misc]simplify: iters left: 5 (69 enodes) 1554299916.698 * * [misc]simplify: iters left: 4 (93 enodes) 1554299916.724 * * [misc]simplify: iters left: 3 (146 enodes) 1554299916.748 * * [misc]simplify: iters left: 2 (211 enodes) 1554299916.787 * * [misc]simplify: iters left: 1 (309 enodes) 1554299916.885 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299916.885 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299916.886 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299916.886 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299916.887 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299916.888 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299916.893 * * [misc]simplify: Extracting #6: cost 11 inf + 23740 1554299916.902 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299916.911 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299916.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299916.911 * * * * [misc]progress: [ 194 / 621 ] simplifiying candidate # 1554299916.911 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299916.911 * * [misc]simplify: iters left: 6 (13 enodes) 1554299916.915 * * [misc]simplify: iters left: 5 (45 enodes) 1554299916.923 * * [misc]simplify: iters left: 4 (66 enodes) 1554299916.935 * * [misc]simplify: iters left: 3 (93 enodes) 1554299916.952 * * [misc]simplify: iters left: 2 (117 enodes) 1554299916.968 * * [misc]simplify: iters left: 1 (140 enodes) 1554299916.992 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299916.992 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299916.993 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554299916.993 * * [misc]simplify: Extracting #3: cost 27 inf + 2 1554299916.993 * * [misc]simplify: Extracting #4: cost 22 inf + 167 1554299916.993 * * [misc]simplify: Extracting #5: cost 12 inf + 1266 1554299916.994 * * [misc]simplify: Extracting #6: cost 1 inf + 3775 1554299916.995 * * [misc]simplify: Extracting #7: cost 0 inf + 3977 1554299916.996 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299916.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299916.996 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299916.997 * * [misc]simplify: iters left: 6 (18 enodes) 1554299917.001 * * [misc]simplify: iters left: 5 (66 enodes) 1554299917.014 * * [misc]simplify: iters left: 4 (90 enodes) 1554299917.039 * * [misc]simplify: iters left: 3 (143 enodes) 1554299917.079 * * [misc]simplify: iters left: 2 (208 enodes) 1554299917.142 * * [misc]simplify: iters left: 1 (306 enodes) 1554299917.268 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299917.268 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299917.268 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299917.269 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299917.270 * * [misc]simplify: Extracting #4: cost 62 inf + 778 1554299917.271 * * [misc]simplify: Extracting #5: cost 41 inf + 7034 1554299917.278 * * [misc]simplify: Extracting #6: cost 6 inf + 25006 1554299917.287 * * [misc]simplify: Extracting #7: cost 0 inf + 28449 1554299917.294 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299917.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299917.294 * * * * [misc]progress: [ 195 / 621 ] simplifiying candidate # 1554299917.295 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299917.295 * * [misc]simplify: iters left: 6 (18 enodes) 1554299917.303 * * [misc]simplify: iters left: 5 (64 enodes) 1554299917.319 * * [misc]simplify: iters left: 4 (86 enodes) 1554299917.338 * * [misc]simplify: iters left: 3 (117 enodes) 1554299917.356 * * [misc]simplify: iters left: 2 (169 enodes) 1554299917.386 * * [misc]simplify: iters left: 1 (234 enodes) 1554299917.440 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299917.440 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299917.440 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554299917.441 * * [misc]simplify: Extracting #3: cost 50 inf + 2 1554299917.441 * * [misc]simplify: Extracting #4: cost 46 inf + 169 1554299917.442 * * [misc]simplify: Extracting #5: cost 30 inf + 5306 1554299917.446 * * [misc]simplify: Extracting #6: cost 5 inf + 14677 1554299917.452 * * [misc]simplify: Extracting #7: cost 0 inf + 17349 1554299917.458 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554299917.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299917.459 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299917.459 * * [misc]simplify: iters left: 6 (19 enodes) 1554299917.464 * * [misc]simplify: iters left: 5 (69 enodes) 1554299917.477 * * [misc]simplify: iters left: 4 (93 enodes) 1554299917.494 * * [misc]simplify: iters left: 3 (146 enodes) 1554299917.518 * * [misc]simplify: iters left: 2 (211 enodes) 1554299917.558 * * [misc]simplify: iters left: 1 (309 enodes) 1554299917.638 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299917.638 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299917.639 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299917.639 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299917.639 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299917.640 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299917.643 * * [misc]simplify: Extracting #6: cost 11 inf + 23540 1554299917.648 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299917.654 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299917.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299917.654 * * * * [misc]progress: [ 196 / 621 ] simplifiying candidate # 1554299917.654 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299917.654 * * [misc]simplify: iters left: 6 (17 enodes) 1554299917.659 * * [misc]simplify: iters left: 5 (59 enodes) 1554299917.669 * * [misc]simplify: iters left: 4 (75 enodes) 1554299917.682 * * [misc]simplify: iters left: 3 (90 enodes) 1554299917.697 * * [misc]simplify: iters left: 2 (106 enodes) 1554299917.711 * * [misc]simplify: iters left: 1 (124 enodes) 1554299917.731 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299917.731 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299917.731 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299917.731 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299917.731 * * [misc]simplify: Extracting #4: cost 31 inf + 128 1554299917.732 * * [misc]simplify: Extracting #5: cost 23 inf + 956 1554299917.733 * * [misc]simplify: Extracting #6: cost 7 inf + 5442 1554299917.736 * * [misc]simplify: Extracting #7: cost 0 inf + 8248 1554299917.738 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) 1554299917.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299917.739 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299917.739 * * [misc]simplify: iters left: 6 (19 enodes) 1554299917.748 * * [misc]simplify: iters left: 5 (69 enodes) 1554299917.760 * * [misc]simplify: iters left: 4 (93 enodes) 1554299917.775 * * [misc]simplify: iters left: 3 (146 enodes) 1554299917.807 * * [misc]simplify: iters left: 2 (211 enodes) 1554299917.859 * * [misc]simplify: iters left: 1 (309 enodes) 1554299917.977 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299917.977 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299917.977 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299917.978 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299917.979 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299917.980 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299917.986 * * [misc]simplify: Extracting #6: cost 11 inf + 22620 1554299917.997 * * [misc]simplify: Extracting #7: cost 0 inf + 29035 1554299918.008 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299918.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299918.008 * * * * [misc]progress: [ 197 / 621 ] simplifiying candidate # 1554299918.009 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) 1)) 1554299918.009 * * [misc]simplify: iters left: 6 (12 enodes) 1554299918.015 * * [misc]simplify: iters left: 5 (40 enodes) 1554299918.027 * * [misc]simplify: iters left: 4 (48 enodes) 1554299918.040 * * [misc]simplify: iters left: 3 (56 enodes) 1554299918.055 * * [misc]simplify: iters left: 2 (67 enodes) 1554299918.071 * * [misc]simplify: iters left: 1 (77 enodes) 1554299918.084 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.084 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299918.084 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299918.084 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299918.084 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299918.085 * * [misc]simplify: Extracting #5: cost 9 inf + 540 1554299918.085 * * [misc]simplify: Extracting #6: cost 3 inf + 1190 1554299918.085 * * [misc]simplify: Extracting #7: cost 0 inf + 1799 1554299918.086 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554299918.086 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299918.086 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299918.086 * * [misc]simplify: iters left: 6 (18 enodes) 1554299918.091 * * [misc]simplify: iters left: 5 (66 enodes) 1554299918.104 * * [misc]simplify: iters left: 4 (90 enodes) 1554299918.132 * * [misc]simplify: iters left: 3 (143 enodes) 1554299918.165 * * [misc]simplify: iters left: 2 (208 enodes) 1554299918.221 * * [misc]simplify: iters left: 1 (306 enodes) 1554299918.305 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.306 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299918.306 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299918.307 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299918.307 * * [misc]simplify: Extracting #4: cost 62 inf + 658 1554299918.309 * * [misc]simplify: Extracting #5: cost 41 inf + 6514 1554299918.316 * * [misc]simplify: Extracting #6: cost 6 inf + 23806 1554299918.325 * * [misc]simplify: Extracting #7: cost 0 inf + 27169 1554299918.334 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299918.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299918.335 * * * * [misc]progress: [ 198 / 621 ] simplifiying candidate # 1554299918.335 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299918.335 * * [misc]simplify: iters left: 6 (16 enodes) 1554299918.345 * * [misc]simplify: iters left: 5 (58 enodes) 1554299918.358 * * [misc]simplify: iters left: 4 (73 enodes) 1554299918.371 * * [misc]simplify: iters left: 3 (82 enodes) 1554299918.383 * * [misc]simplify: iters left: 2 (92 enodes) 1554299918.398 * * [misc]simplify: iters left: 1 (110 enodes) 1554299918.424 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.424 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299918.424 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299918.424 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299918.425 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554299918.425 * * [misc]simplify: Extracting #5: cost 24 inf + 376 1554299918.425 * * [misc]simplify: Extracting #6: cost 20 inf + 584 1554299918.426 * * [misc]simplify: Extracting #7: cost 12 inf + 2363 1554299918.427 * * [misc]simplify: Extracting #8: cost 4 inf + 5873 1554299918.429 * * [misc]simplify: Extracting #9: cost 0 inf + 7850 1554299918.431 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) 1554299918.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299918.431 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299918.431 * * [misc]simplify: iters left: 6 (18 enodes) 1554299918.439 * * [misc]simplify: iters left: 5 (66 enodes) 1554299918.457 * * [misc]simplify: iters left: 4 (90 enodes) 1554299918.481 * * [misc]simplify: iters left: 3 (143 enodes) 1554299918.522 * * [misc]simplify: iters left: 2 (208 enodes) 1554299918.582 * * [misc]simplify: iters left: 1 (307 enodes) 1554299918.658 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.658 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299918.659 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299918.659 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299918.659 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299918.660 * * [misc]simplify: Extracting #5: cost 44 inf + 6069 1554299918.664 * * [misc]simplify: Extracting #6: cost 6 inf + 25481 1554299918.669 * * [misc]simplify: Extracting #7: cost 0 inf + 28953 1554299918.674 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) 1554299918.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299918.675 * * * * [misc]progress: [ 199 / 621 ] simplifiying candidate # 1554299918.675 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299918.675 * * [misc]simplify: iters left: 6 (15 enodes) 1554299918.679 * * [misc]simplify: iters left: 5 (53 enodes) 1554299918.687 * * [misc]simplify: iters left: 4 (62 enodes) 1554299918.697 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.697 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299918.697 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299918.698 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1554299918.698 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299918.698 * * [misc]simplify: Extracting #5: cost 17 inf + 89 1554299918.698 * * [misc]simplify: Extracting #6: cost 14 inf + 214 1554299918.698 * * [misc]simplify: Extracting #7: cost 4 inf + 2169 1554299918.698 * * [misc]simplify: Extracting #8: cost 0 inf + 3492 1554299918.699 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) 1554299918.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299918.699 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299918.699 * * [misc]simplify: iters left: 6 (18 enodes) 1554299918.703 * * [misc]simplify: iters left: 5 (66 enodes) 1554299918.716 * * [misc]simplify: iters left: 4 (90 enodes) 1554299918.730 * * [misc]simplify: iters left: 3 (143 enodes) 1554299918.756 * * [misc]simplify: iters left: 2 (208 enodes) 1554299918.811 * * [misc]simplify: iters left: 1 (307 enodes) 1554299918.930 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.930 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299918.930 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299918.931 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299918.932 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299918.933 * * [misc]simplify: Extracting #5: cost 44 inf + 5869 1554299918.938 * * [misc]simplify: Extracting #6: cost 6 inf + 24401 1554299918.943 * * [misc]simplify: Extracting #7: cost 0 inf + 27673 1554299918.950 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))) 1554299918.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))))) 1554299918.950 * * * * [misc]progress: [ 200 / 621 ] simplifiying candidate # 1554299918.951 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 1)) 1554299918.951 * * [misc]simplify: iters left: 6 (9 enodes) 1554299918.958 * * [misc]simplify: iters left: 5 (27 enodes) 1554299918.964 * * [misc]simplify: iters left: 4 (29 enodes) 1554299918.969 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299918.970 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299918.970 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299918.970 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299918.970 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299918.970 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299918.970 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299918.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299918.970 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299918.970 * * [misc]simplify: iters left: 6 (17 enodes) 1554299918.974 * * [misc]simplify: iters left: 5 (63 enodes) 1554299918.984 * * [misc]simplify: iters left: 4 (87 enodes) 1554299918.997 * * [misc]simplify: iters left: 3 (140 enodes) 1554299919.022 * * [misc]simplify: iters left: 2 (205 enodes) 1554299919.082 * * [misc]simplify: iters left: 1 (302 enodes) 1554299919.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.186 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299919.186 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299919.187 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299919.187 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299919.189 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299919.195 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299919.202 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299919.210 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299919.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299919.210 * * * * [misc]progress: [ 201 / 621 ] simplifiying candidate # 1554299919.211 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554299919.211 * * [misc]simplify: iters left: 6 (8 enodes) 1554299919.218 * * [misc]simplify: iters left: 5 (26 enodes) 1554299919.223 * * [misc]simplify: iters left: 4 (28 enodes) 1554299919.230 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.230 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299919.230 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299919.230 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299919.230 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299919.230 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299919.231 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299919.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299919.231 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299919.231 * * [misc]simplify: iters left: 6 (17 enodes) 1554299919.238 * * [misc]simplify: iters left: 5 (63 enodes) 1554299919.254 * * [misc]simplify: iters left: 4 (87 enodes) 1554299919.268 * * [misc]simplify: iters left: 3 (140 enodes) 1554299919.298 * * [misc]simplify: iters left: 2 (205 enodes) 1554299919.341 * * [misc]simplify: iters left: 1 (302 enodes) 1554299919.446 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.446 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299919.447 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299919.447 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299919.447 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299919.448 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299919.452 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299919.460 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299919.468 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299919.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299919.468 * * * * [misc]progress: [ 202 / 621 ] simplifiying candidate # 1554299919.468 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt k)) 1554299919.468 * * [misc]simplify: iters left: 6 (10 enodes) 1554299919.474 * * [misc]simplify: iters left: 5 (34 enodes) 1554299919.480 * * [misc]simplify: iters left: 4 (40 enodes) 1554299919.485 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.486 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299919.486 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299919.486 * * [misc]simplify: Extracting #3: cost 8 inf + 85 1554299919.486 * * [misc]simplify: Extracting #4: cost 6 inf + 87 1554299919.486 * * [misc]simplify: Extracting #5: cost 2 inf + 456 1554299919.486 * * [misc]simplify: Extracting #6: cost 0 inf + 661 1554299919.486 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299919.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554299919.487 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299919.487 * * [misc]simplify: iters left: 6 (16 enodes) 1554299919.491 * * [misc]simplify: iters left: 5 (60 enodes) 1554299919.500 * * [misc]simplify: iters left: 4 (75 enodes) 1554299919.511 * * [misc]simplify: iters left: 3 (93 enodes) 1554299919.524 * * [misc]simplify: iters left: 2 (116 enodes) 1554299919.542 * * [misc]simplify: iters left: 1 (131 enodes) 1554299919.561 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.561 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299919.561 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299919.561 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299919.561 * * [misc]simplify: Extracting #4: cost 29 inf + 251 1554299919.561 * * [misc]simplify: Extracting #5: cost 22 inf + 795 1554299919.562 * * [misc]simplify: Extracting #6: cost 4 inf + 7315 1554299919.563 * * [misc]simplify: Extracting #7: cost 0 inf + 9142 1554299919.565 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))) 1554299919.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))))) 1554299919.565 * * * * [misc]progress: [ 203 / 621 ] simplifiying candidate # 1554299919.565 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) 1)) 1554299919.565 * * [misc]simplify: iters left: 6 (11 enodes) 1554299919.569 * * [misc]simplify: iters left: 5 (37 enodes) 1554299919.575 * * [misc]simplify: iters left: 4 (45 enodes) 1554299919.585 * * [misc]simplify: iters left: 3 (53 enodes) 1554299919.592 * * [misc]simplify: iters left: 2 (64 enodes) 1554299919.600 * * [misc]simplify: iters left: 1 (74 enodes) 1554299919.611 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.611 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299919.611 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299919.612 * * [misc]simplify: Extracting #3: cost 13 inf + 167 1554299919.612 * * [misc]simplify: Extracting #4: cost 10 inf + 251 1554299919.612 * * [misc]simplify: Extracting #5: cost 2 inf + 1111 1554299919.612 * * [misc]simplify: Extracting #6: cost 0 inf + 1397 1554299919.613 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299919.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299919.613 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299919.613 * * [misc]simplify: iters left: 6 (15 enodes) 1554299919.617 * * [misc]simplify: iters left: 5 (55 enodes) 1554299919.626 * * [misc]simplify: iters left: 4 (69 enodes) 1554299919.636 * * [misc]simplify: iters left: 3 (85 enodes) 1554299919.648 * * [misc]simplify: iters left: 2 (93 enodes) 1554299919.660 * * [misc]simplify: iters left: 1 (105 enodes) 1554299919.674 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.674 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299919.674 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299919.674 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299919.674 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299919.675 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299919.675 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299919.676 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299919.677 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299919.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299919.677 * * * * [misc]progress: [ 204 / 621 ] simplifiying candidate # 1554299919.678 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) (pow PI 0))) 1554299919.678 * * [misc]simplify: iters left: 6 (14 enodes) 1554299919.682 * * [misc]simplify: iters left: 5 (45 enodes) 1554299919.689 * * [misc]simplify: iters left: 4 (49 enodes) 1554299919.695 * * [misc]simplify: iters left: 3 (56 enodes) 1554299919.705 * * [misc]simplify: iters left: 2 (64 enodes) 1554299919.714 * * [misc]simplify: iters left: 1 (71 enodes) 1554299919.724 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.724 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299919.724 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299919.724 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1554299919.724 * * [misc]simplify: Extracting #4: cost 12 inf + 87 1554299919.724 * * [misc]simplify: Extracting #5: cost 8 inf + 335 1554299919.725 * * [misc]simplify: Extracting #6: cost 2 inf + 1071 1554299919.725 * * [misc]simplify: Extracting #7: cost 0 inf + 1397 1554299919.726 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299919.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299919.727 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299919.727 * * [misc]simplify: iters left: 6 (15 enodes) 1554299919.733 * * [misc]simplify: iters left: 5 (55 enodes) 1554299919.747 * * [misc]simplify: iters left: 4 (69 enodes) 1554299919.763 * * [misc]simplify: iters left: 3 (85 enodes) 1554299919.781 * * [misc]simplify: iters left: 2 (93 enodes) 1554299919.802 * * [misc]simplify: iters left: 1 (105 enodes) 1554299919.827 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.827 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299919.827 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299919.827 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299919.827 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299919.828 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299919.829 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299919.831 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299919.833 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299919.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299919.833 * * * * [misc]progress: [ 205 / 621 ] simplifiying candidate # 1554299919.833 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299919.833 * * [misc]simplify: iters left: 6 (17 enodes) 1554299919.840 * * [misc]simplify: iters left: 5 (59 enodes) 1554299919.855 * * [misc]simplify: iters left: 4 (72 enodes) 1554299919.869 * * [misc]simplify: iters left: 3 (75 enodes) 1554299919.878 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.878 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299919.878 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299919.878 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299919.878 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299919.878 * * [misc]simplify: Extracting #5: cost 17 inf + 295 1554299919.878 * * [misc]simplify: Extracting #6: cost 12 inf + 1249 1554299919.879 * * [misc]simplify: Extracting #7: cost 2 inf + 5199 1554299919.880 * * [misc]simplify: Extracting #8: cost 0 inf + 6266 1554299919.880 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299919.880 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299919.881 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299919.881 * * [misc]simplify: iters left: 6 (18 enodes) 1554299919.885 * * [misc]simplify: iters left: 5 (64 enodes) 1554299919.894 * * [misc]simplify: iters left: 4 (78 enodes) 1554299919.914 * * [misc]simplify: iters left: 3 (94 enodes) 1554299919.937 * * [misc]simplify: iters left: 2 (102 enodes) 1554299919.961 * * [misc]simplify: iters left: 1 (114 enodes) 1554299919.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299919.981 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299919.981 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299919.981 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299919.981 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299919.981 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299919.982 * * [misc]simplify: Extracting #6: cost 12 inf + 4481 1554299919.983 * * [misc]simplify: Extracting #7: cost 3 inf + 9883 1554299919.984 * * [misc]simplify: Extracting #8: cost 0 inf + 11984 1554299919.986 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299919.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299919.986 * * * * [misc]progress: [ 206 / 621 ] simplifiying candidate # 1554299919.986 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299919.986 * * [misc]simplify: iters left: 6 (16 enodes) 1554299919.990 * * [misc]simplify: iters left: 5 (54 enodes) 1554299919.998 * * [misc]simplify: iters left: 4 (62 enodes) 1554299920.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299920.007 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299920.007 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299920.007 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299920.007 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554299920.007 * * [misc]simplify: Extracting #5: cost 14 inf + 254 1554299920.007 * * [misc]simplify: Extracting #6: cost 8 inf + 1581 1554299920.008 * * [misc]simplify: Extracting #7: cost 1 inf + 3358 1554299920.008 * * [misc]simplify: Extracting #8: cost 0 inf + 3892 1554299920.008 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299920.009 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299920.009 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299920.009 * * [misc]simplify: iters left: 6 (18 enodes) 1554299920.013 * * [misc]simplify: iters left: 5 (64 enodes) 1554299920.023 * * [misc]simplify: iters left: 4 (78 enodes) 1554299920.034 * * [misc]simplify: iters left: 3 (94 enodes) 1554299920.047 * * [misc]simplify: iters left: 2 (102 enodes) 1554299920.067 * * [misc]simplify: iters left: 1 (114 enodes) 1554299920.092 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299920.092 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299920.092 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299920.093 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299920.093 * * [misc]simplify: Extracting #4: cost 33 inf + 251 1554299920.093 * * [misc]simplify: Extracting #5: cost 25 inf + 583 1554299920.094 * * [misc]simplify: Extracting #6: cost 12 inf + 4401 1554299920.096 * * [misc]simplify: Extracting #7: cost 3 inf + 9523 1554299920.098 * * [misc]simplify: Extracting #8: cost 0 inf + 11504 1554299920.101 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))) 1554299920.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (pow (* n 2) (/ (- k) 2))))) 1554299920.101 * * * * [misc]progress: [ 207 / 621 ] simplifiying candidate # 1554299920.101 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299920.102 * * [misc]simplify: iters left: 6 (19 enodes) 1554299920.110 * * [misc]simplify: iters left: 5 (71 enodes) 1554299920.130 * * [misc]simplify: iters left: 4 (112 enodes) 1554299920.162 * * [misc]simplify: iters left: 3 (177 enodes) 1554299920.223 * * [misc]simplify: iters left: 2 (300 enodes) 1554299920.329 * * [misc]simplify: iters left: 1 (453 enodes) 1554299920.531 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299920.531 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299920.531 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299920.532 * * [misc]simplify: Extracting #3: cost 74 inf + 2 1554299920.532 * * [misc]simplify: Extracting #4: cost 72 inf + 47 1554299920.533 * * [misc]simplify: Extracting #5: cost 49 inf + 6348 1554299920.537 * * [misc]simplify: Extracting #6: cost 8 inf + 25998 1554299920.544 * * [misc]simplify: Extracting #7: cost 0 inf + 30389 1554299920.558 * * [misc]simplify: Extracting #8: cost 0 inf + 30349 1554299920.571 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) 1554299920.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299920.572 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299920.572 * * [misc]simplify: iters left: 6 (19 enodes) 1554299920.579 * * [misc]simplify: iters left: 5 (69 enodes) 1554299920.590 * * [misc]simplify: iters left: 4 (93 enodes) 1554299920.604 * * [misc]simplify: iters left: 3 (146 enodes) 1554299920.631 * * [misc]simplify: iters left: 2 (211 enodes) 1554299920.679 * * [misc]simplify: iters left: 1 (309 enodes) 1554299920.791 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299920.791 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299920.792 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299920.792 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299920.793 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299920.794 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299920.800 * * [misc]simplify: Extracting #6: cost 11 inf + 24660 1554299920.811 * * [misc]simplify: Extracting #7: cost 0 inf + 31595 1554299920.821 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299920.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299920.821 * * * * [misc]progress: [ 208 / 621 ] simplifiying candidate # 1554299920.821 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299920.821 * * [misc]simplify: iters left: 6 (18 enodes) 1554299920.826 * * [misc]simplify: iters left: 5 (64 enodes) 1554299920.836 * * [misc]simplify: iters left: 4 (88 enodes) 1554299920.850 * * [misc]simplify: iters left: 3 (122 enodes) 1554299920.871 * * [misc]simplify: iters left: 2 (163 enodes) 1554299920.923 * * [misc]simplify: iters left: 1 (204 enodes) 1554299920.961 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299920.961 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299920.962 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554299920.962 * * [misc]simplify: Extracting #3: cost 45 inf + 2 1554299920.962 * * [misc]simplify: Extracting #4: cost 41 inf + 209 1554299920.962 * * [misc]simplify: Extracting #5: cost 24 inf + 4555 1554299920.964 * * [misc]simplify: Extracting #6: cost 2 inf + 12271 1554299920.966 * * [misc]simplify: Extracting #7: cost 0 inf + 13128 1554299920.969 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1554299920.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299920.969 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299920.969 * * [misc]simplify: iters left: 6 (19 enodes) 1554299920.974 * * [misc]simplify: iters left: 5 (69 enodes) 1554299920.985 * * [misc]simplify: iters left: 4 (93 enodes) 1554299921.001 * * [misc]simplify: iters left: 3 (146 enodes) 1554299921.029 * * [misc]simplify: iters left: 2 (211 enodes) 1554299921.083 * * [misc]simplify: iters left: 1 (309 enodes) 1554299921.158 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299921.158 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299921.158 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299921.158 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299921.159 * * [misc]simplify: Extracting #4: cost 67 inf + 414 1554299921.159 * * [misc]simplify: Extracting #5: cost 48 inf + 4197 1554299921.162 * * [misc]simplify: Extracting #6: cost 11 inf + 23740 1554299921.168 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299921.173 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))) 1554299921.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1554299921.174 * * * * [misc]progress: [ 209 / 621 ] simplifiying candidate # 1554299921.174 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299921.174 * * [misc]simplify: iters left: 6 (13 enodes) 1554299921.177 * * [misc]simplify: iters left: 5 (45 enodes) 1554299921.185 * * [misc]simplify: iters left: 4 (66 enodes) 1554299921.197 * * [misc]simplify: iters left: 3 (93 enodes) 1554299921.219 * * [misc]simplify: iters left: 2 (117 enodes) 1554299921.250 * * [misc]simplify: iters left: 1 (140 enodes) 1554299921.300 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299921.300 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299921.300 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554299921.300 * * [misc]simplify: Extracting #3: cost 27 inf + 2 1554299921.301 * * [misc]simplify: Extracting #4: cost 22 inf + 167 1554299921.301 * * [misc]simplify: Extracting #5: cost 12 inf + 1266 1554299921.303 * * [misc]simplify: Extracting #6: cost 1 inf + 3775 1554299921.306 * * [misc]simplify: Extracting #7: cost 0 inf + 3977 1554299921.308 * [exit]simplify: Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299921.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299921.309 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299921.309 * * [misc]simplify: iters left: 6 (18 enodes) 1554299921.316 * * [misc]simplify: iters left: 5 (66 enodes) 1554299921.327 * * [misc]simplify: iters left: 4 (90 enodes) 1554299921.343 * * [misc]simplify: iters left: 3 (143 enodes) 1554299921.378 * * [misc]simplify: iters left: 2 (208 enodes) 1554299921.435 * * [misc]simplify: iters left: 1 (306 enodes) 1554299921.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299921.563 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299921.563 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299921.563 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299921.564 * * [misc]simplify: Extracting #4: cost 62 inf + 778 1554299921.565 * * [misc]simplify: Extracting #5: cost 41 inf + 7034 1554299921.568 * * [misc]simplify: Extracting #6: cost 6 inf + 25006 1554299921.574 * * [misc]simplify: Extracting #7: cost 0 inf + 28449 1554299921.584 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299921.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299921.584 * * * * [misc]progress: [ 210 / 621 ] simplifiying candidate # 1554299921.585 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299921.585 * * [misc]simplify: iters left: 6 (18 enodes) 1554299921.594 * * [misc]simplify: iters left: 5 (64 enodes) 1554299921.614 * * [misc]simplify: iters left: 4 (86 enodes) 1554299921.636 * * [misc]simplify: iters left: 3 (117 enodes) 1554299921.654 * * [misc]simplify: iters left: 2 (169 enodes) 1554299921.699 * * [misc]simplify: iters left: 1 (234 enodes) 1554299921.775 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299921.776 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299921.776 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554299921.776 * * [misc]simplify: Extracting #3: cost 50 inf + 2 1554299921.776 * * [misc]simplify: Extracting #4: cost 46 inf + 169 1554299921.777 * * [misc]simplify: Extracting #5: cost 30 inf + 5306 1554299921.779 * * [misc]simplify: Extracting #6: cost 5 inf + 14677 1554299921.782 * * [misc]simplify: Extracting #7: cost 0 inf + 17349 1554299921.786 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1554299921.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299921.786 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299921.786 * * [misc]simplify: iters left: 6 (19 enodes) 1554299921.791 * * [misc]simplify: iters left: 5 (69 enodes) 1554299921.804 * * [misc]simplify: iters left: 4 (93 enodes) 1554299921.836 * * [misc]simplify: iters left: 3 (146 enodes) 1554299921.868 * * [misc]simplify: iters left: 2 (211 enodes) 1554299921.916 * * [misc]simplify: iters left: 1 (309 enodes) 1554299922.037 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299922.037 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299922.037 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299922.038 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299922.038 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299922.039 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299922.042 * * [misc]simplify: Extracting #6: cost 11 inf + 23540 1554299922.047 * * [misc]simplify: Extracting #7: cost 0 inf + 30315 1554299922.053 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299922.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (pow (* n 2) (- (/ k 2))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299922.053 * * * * [misc]progress: [ 211 / 621 ] simplifiying candidate # 1554299922.053 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299922.053 * * [misc]simplify: iters left: 6 (17 enodes) 1554299922.057 * * [misc]simplify: iters left: 5 (59 enodes) 1554299922.068 * * [misc]simplify: iters left: 4 (75 enodes) 1554299922.085 * * [misc]simplify: iters left: 3 (90 enodes) 1554299922.100 * * [misc]simplify: iters left: 2 (106 enodes) 1554299922.117 * * [misc]simplify: iters left: 1 (124 enodes) 1554299922.151 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299922.151 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299922.151 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299922.151 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299922.151 * * [misc]simplify: Extracting #4: cost 31 inf + 128 1554299922.152 * * [misc]simplify: Extracting #5: cost 23 inf + 956 1554299922.153 * * [misc]simplify: Extracting #6: cost 7 inf + 5442 1554299922.155 * * [misc]simplify: Extracting #7: cost 0 inf + 8248 1554299922.158 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) 1554299922.158 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299922.158 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299922.159 * * [misc]simplify: iters left: 6 (19 enodes) 1554299922.167 * * [misc]simplify: iters left: 5 (69 enodes) 1554299922.186 * * [misc]simplify: iters left: 4 (93 enodes) 1554299922.212 * * [misc]simplify: iters left: 3 (146 enodes) 1554299922.243 * * [misc]simplify: iters left: 2 (211 enodes) 1554299922.312 * * [misc]simplify: iters left: 1 (309 enodes) 1554299922.450 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299922.450 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299922.451 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299922.451 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299922.451 * * [misc]simplify: Extracting #4: cost 67 inf + 374 1554299922.452 * * [misc]simplify: Extracting #5: cost 48 inf + 3877 1554299922.455 * * [misc]simplify: Extracting #6: cost 11 inf + 22620 1554299922.460 * * [misc]simplify: Extracting #7: cost 0 inf + 29035 1554299922.466 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1554299922.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (* n 2))) (* (* (pow (* n 2) (- (/ k 2))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1554299922.466 * * * * [misc]progress: [ 212 / 621 ] simplifiying candidate # 1554299922.467 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt (sqrt k)) 1)) 1554299922.467 * * [misc]simplify: iters left: 6 (12 enodes) 1554299922.471 * * [misc]simplify: iters left: 5 (40 enodes) 1554299922.478 * * [misc]simplify: iters left: 4 (48 enodes) 1554299922.485 * * [misc]simplify: iters left: 3 (56 enodes) 1554299922.494 * * [misc]simplify: iters left: 2 (67 enodes) 1554299922.504 * * [misc]simplify: iters left: 1 (77 enodes) 1554299922.518 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299922.518 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299922.518 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299922.518 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299922.518 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299922.518 * * [misc]simplify: Extracting #5: cost 9 inf + 540 1554299922.518 * * [misc]simplify: Extracting #6: cost 3 inf + 1190 1554299922.519 * * [misc]simplify: Extracting #7: cost 0 inf + 1799 1554299922.519 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1554299922.519 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299922.520 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299922.520 * * [misc]simplify: iters left: 6 (18 enodes) 1554299922.524 * * [misc]simplify: iters left: 5 (66 enodes) 1554299922.535 * * [misc]simplify: iters left: 4 (90 enodes) 1554299922.550 * * [misc]simplify: iters left: 3 (143 enodes) 1554299922.584 * * [misc]simplify: iters left: 2 (208 enodes) 1554299922.630 * * [misc]simplify: iters left: 1 (306 enodes) 1554299922.720 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299922.720 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299922.721 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299922.721 * * [misc]simplify: Extracting #3: cost 72 inf + 3 1554299922.721 * * [misc]simplify: Extracting #4: cost 62 inf + 658 1554299922.722 * * [misc]simplify: Extracting #5: cost 41 inf + 6514 1554299922.726 * * [misc]simplify: Extracting #6: cost 6 inf + 23806 1554299922.731 * * [misc]simplify: Extracting #7: cost 0 inf + 27169 1554299922.737 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))) 1554299922.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) (pow PI (- (/ k 2)))))) 1554299922.737 * * * * [misc]progress: [ 213 / 621 ] simplifiying candidate # 1554299922.737 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299922.737 * * [misc]simplify: iters left: 6 (16 enodes) 1554299922.743 * * [misc]simplify: iters left: 5 (58 enodes) 1554299922.753 * * [misc]simplify: iters left: 4 (73 enodes) 1554299922.765 * * [misc]simplify: iters left: 3 (82 enodes) 1554299922.787 * * [misc]simplify: iters left: 2 (92 enodes) 1554299922.801 * * [misc]simplify: iters left: 1 (110 enodes) 1554299922.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299922.817 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299922.817 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299922.817 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299922.817 * * [misc]simplify: Extracting #4: cost 26 inf + 5 1554299922.817 * * [misc]simplify: Extracting #5: cost 24 inf + 376 1554299922.818 * * [misc]simplify: Extracting #6: cost 20 inf + 584 1554299922.818 * * [misc]simplify: Extracting #7: cost 12 inf + 2363 1554299922.819 * * [misc]simplify: Extracting #8: cost 4 inf + 5873 1554299922.820 * * [misc]simplify: Extracting #9: cost 0 inf + 7850 1554299922.821 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) 1554299922.821 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299922.822 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299922.822 * * [misc]simplify: iters left: 6 (18 enodes) 1554299922.830 * * [misc]simplify: iters left: 5 (66 enodes) 1554299922.847 * * [misc]simplify: iters left: 4 (90 enodes) 1554299922.862 * * [misc]simplify: iters left: 3 (143 enodes) 1554299922.889 * * [misc]simplify: iters left: 2 (208 enodes) 1554299922.941 * * [misc]simplify: iters left: 1 (307 enodes) 1554299923.018 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.018 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299923.018 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299923.018 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299923.019 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299923.019 * * [misc]simplify: Extracting #5: cost 44 inf + 6069 1554299923.023 * * [misc]simplify: Extracting #6: cost 6 inf + 25481 1554299923.029 * * [misc]simplify: Extracting #7: cost 0 inf + 28953 1554299923.034 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) 1554299923.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (* n 2))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299923.034 * * * * [misc]progress: [ 214 / 621 ] simplifiying candidate # 1554299923.034 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299923.034 * * [misc]simplify: iters left: 6 (15 enodes) 1554299923.038 * * [misc]simplify: iters left: 5 (53 enodes) 1554299923.048 * * [misc]simplify: iters left: 4 (62 enodes) 1554299923.059 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.059 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299923.059 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299923.059 * * [misc]simplify: Extracting #3: cost 16 inf + 2 1554299923.059 * * [misc]simplify: Extracting #4: cost 16 inf + 5 1554299923.059 * * [misc]simplify: Extracting #5: cost 17 inf + 89 1554299923.059 * * [misc]simplify: Extracting #6: cost 14 inf + 214 1554299923.059 * * [misc]simplify: Extracting #7: cost 4 inf + 2169 1554299923.060 * * [misc]simplify: Extracting #8: cost 0 inf + 3492 1554299923.060 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) 1554299923.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299923.060 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299923.061 * * [misc]simplify: iters left: 6 (18 enodes) 1554299923.065 * * [misc]simplify: iters left: 5 (66 enodes) 1554299923.075 * * [misc]simplify: iters left: 4 (90 enodes) 1554299923.090 * * [misc]simplify: iters left: 3 (143 enodes) 1554299923.127 * * [misc]simplify: iters left: 2 (208 enodes) 1554299923.170 * * [misc]simplify: iters left: 1 (307 enodes) 1554299923.259 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.259 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299923.259 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299923.259 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554299923.260 * * [misc]simplify: Extracting #4: cost 64 inf + 415 1554299923.260 * * [misc]simplify: Extracting #5: cost 44 inf + 5869 1554299923.264 * * [misc]simplify: Extracting #6: cost 6 inf + 24401 1554299923.269 * * [misc]simplify: Extracting #7: cost 0 inf + 27673 1554299923.274 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))) 1554299923.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- (/ k 2))))) (* (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- (/ k 2))))))) 1554299923.275 * * * * [misc]progress: [ 215 / 621 ] simplifiying candidate # 1554299923.275 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ 1 1)) 1554299923.275 * * [misc]simplify: iters left: 6 (9 enodes) 1554299923.280 * * [misc]simplify: iters left: 5 (27 enodes) 1554299923.286 * * [misc]simplify: iters left: 4 (29 enodes) 1554299923.291 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.291 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299923.291 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299923.292 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299923.292 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299923.292 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299923.292 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299923.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299923.292 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299923.292 * * [misc]simplify: iters left: 6 (17 enodes) 1554299923.297 * * [misc]simplify: iters left: 5 (63 enodes) 1554299923.311 * * [misc]simplify: iters left: 4 (87 enodes) 1554299923.335 * * [misc]simplify: iters left: 3 (140 enodes) 1554299923.372 * * [misc]simplify: iters left: 2 (205 enodes) 1554299923.417 * * [misc]simplify: iters left: 1 (302 enodes) 1554299923.525 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.526 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299923.526 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299923.526 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299923.527 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299923.527 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299923.531 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299923.536 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299923.541 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299923.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299923.541 * * * * [misc]progress: [ 216 / 621 ] simplifiying candidate # 1554299923.542 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) 1) 1554299923.542 * * [misc]simplify: iters left: 6 (8 enodes) 1554299923.547 * * [misc]simplify: iters left: 5 (26 enodes) 1554299923.551 * * [misc]simplify: iters left: 4 (28 enodes) 1554299923.555 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.555 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299923.555 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554299923.555 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554299923.555 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554299923.555 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554299923.555 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554299923.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299923.555 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299923.556 * * [misc]simplify: iters left: 6 (17 enodes) 1554299923.560 * * [misc]simplify: iters left: 5 (63 enodes) 1554299923.577 * * [misc]simplify: iters left: 4 (87 enodes) 1554299923.592 * * [misc]simplify: iters left: 3 (140 enodes) 1554299923.622 * * [misc]simplify: iters left: 2 (205 enodes) 1554299923.662 * * [misc]simplify: iters left: 1 (302 enodes) 1554299923.759 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.759 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299923.760 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299923.760 * * [misc]simplify: Extracting #3: cost 67 inf + 86 1554299923.760 * * [misc]simplify: Extracting #4: cost 59 inf + 741 1554299923.761 * * [misc]simplify: Extracting #5: cost 41 inf + 4929 1554299923.765 * * [misc]simplify: Extracting #6: cost 5 inf + 22205 1554299923.770 * * [misc]simplify: Extracting #7: cost 0 inf + 25436 1554299923.776 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)) 1554299923.776 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (/ (pow (* n 2) (- (/ k 2))) (/ (sqrt k) (pow PI (- (/ k 2))))) (sqrt PI)))) 1554299923.776 * * * * [misc]progress: [ 217 / 621 ] simplifiying candidate # 1554299923.776 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (sqrt k)) 1554299923.776 * * [misc]simplify: iters left: 6 (10 enodes) 1554299923.779 * * [misc]simplify: iters left: 5 (34 enodes) 1554299923.787 * * [misc]simplify: iters left: 4 (40 enodes) 1554299923.792 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.792 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299923.792 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299923.792 * * [misc]simplify: Extracting #3: cost 8 inf + 85 1554299923.793 * * [misc]simplify: Extracting #4: cost 6 inf + 87 1554299923.793 * * [misc]simplify: Extracting #5: cost 2 inf + 456 1554299923.793 * * [misc]simplify: Extracting #6: cost 0 inf + 661 1554299923.793 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299923.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554299923.793 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299923.793 * * [misc]simplify: iters left: 6 (16 enodes) 1554299923.797 * * [misc]simplify: iters left: 5 (60 enodes) 1554299923.806 * * [misc]simplify: iters left: 4 (75 enodes) 1554299923.817 * * [misc]simplify: iters left: 3 (93 enodes) 1554299923.830 * * [misc]simplify: iters left: 2 (116 enodes) 1554299923.848 * * [misc]simplify: iters left: 1 (131 enodes) 1554299923.867 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.867 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299923.867 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299923.867 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299923.868 * * [misc]simplify: Extracting #4: cost 29 inf + 251 1554299923.868 * * [misc]simplify: Extracting #5: cost 22 inf + 795 1554299923.869 * * [misc]simplify: Extracting #6: cost 4 inf + 7315 1554299923.872 * * [misc]simplify: Extracting #7: cost 0 inf + 9142 1554299923.874 * [exit]simplify: Simplified to (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))) 1554299923.874 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (* (sqrt PI) (pow PI (- (/ k 2))))))) 1554299923.875 * * * * [misc]progress: [ 218 / 621 ] simplifiying candidate # 1554299923.875 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) 1)) 1554299923.875 * * [misc]simplify: iters left: 6 (11 enodes) 1554299923.881 * * [misc]simplify: iters left: 5 (37 enodes) 1554299923.892 * * [misc]simplify: iters left: 4 (45 enodes) 1554299923.901 * * [misc]simplify: iters left: 3 (53 enodes) 1554299923.909 * * [misc]simplify: iters left: 2 (64 enodes) 1554299923.917 * * [misc]simplify: iters left: 1 (74 enodes) 1554299923.928 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299923.928 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299923.929 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299923.929 * * [misc]simplify: Extracting #3: cost 13 inf + 167 1554299923.929 * * [misc]simplify: Extracting #4: cost 10 inf + 251 1554299923.929 * * [misc]simplify: Extracting #5: cost 2 inf + 1111 1554299923.929 * * [misc]simplify: Extracting #6: cost 0 inf + 1397 1554299923.930 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299923.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299923.930 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299923.930 * * [misc]simplify: iters left: 6 (15 enodes) 1554299923.935 * * [misc]simplify: iters left: 5 (55 enodes) 1554299923.944 * * [misc]simplify: iters left: 4 (69 enodes) 1554299923.956 * * [misc]simplify: iters left: 3 (85 enodes) 1554299923.968 * * [misc]simplify: iters left: 2 (93 enodes) 1554299923.992 * * [misc]simplify: iters left: 1 (105 enodes) 1554299924.006 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.006 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299924.007 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299924.007 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299924.007 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299924.007 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299924.008 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299924.009 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299924.010 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299924.010 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299924.010 * * * * [misc]progress: [ 219 / 621 ] simplifiying candidate # 1554299924.010 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) 1/2) 1) (/ (sqrt k) (pow PI 0))) 1554299924.010 * * [misc]simplify: iters left: 6 (14 enodes) 1554299924.015 * * [misc]simplify: iters left: 5 (45 enodes) 1554299924.022 * * [misc]simplify: iters left: 4 (49 enodes) 1554299924.030 * * [misc]simplify: iters left: 3 (56 enodes) 1554299924.046 * * [misc]simplify: iters left: 2 (64 enodes) 1554299924.063 * * [misc]simplify: iters left: 1 (71 enodes) 1554299924.082 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.082 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299924.082 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299924.083 * * [misc]simplify: Extracting #3: cost 16 inf + 3 1554299924.083 * * [misc]simplify: Extracting #4: cost 12 inf + 87 1554299924.083 * * [misc]simplify: Extracting #5: cost 8 inf + 335 1554299924.084 * * [misc]simplify: Extracting #6: cost 2 inf + 1071 1554299924.085 * * [misc]simplify: Extracting #7: cost 0 inf + 1397 1554299924.085 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1554299924.085 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554299924.086 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299924.086 * * [misc]simplify: iters left: 6 (15 enodes) 1554299924.093 * * [misc]simplify: iters left: 5 (55 enodes) 1554299924.109 * * [misc]simplify: iters left: 4 (69 enodes) 1554299924.129 * * [misc]simplify: iters left: 3 (85 enodes) 1554299924.152 * * [misc]simplify: iters left: 2 (93 enodes) 1554299924.178 * * [misc]simplify: iters left: 1 (105 enodes) 1554299924.209 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.209 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299924.209 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299924.209 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299924.209 * * [misc]simplify: Extracting #4: cost 27 inf + 170 1554299924.210 * * [misc]simplify: Extracting #5: cost 19 inf + 795 1554299924.211 * * [misc]simplify: Extracting #6: cost 4 inf + 6534 1554299924.213 * * [misc]simplify: Extracting #7: cost 0 inf + 8650 1554299924.214 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))) 1554299924.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (pow PI (/ k 2)))))) 1554299924.214 * * * * [misc]progress: [ 220 / 621 ] simplifiying candidate # 1554299924.215 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299924.215 * * [misc]simplify: iters left: 6 (21 enodes) 1554299924.220 * * [misc]simplify: iters left: 5 (75 enodes) 1554299924.232 * * [misc]simplify: iters left: 4 (97 enodes) 1554299924.249 * * [misc]simplify: iters left: 3 (124 enodes) 1554299924.283 * * [misc]simplify: iters left: 2 (137 enodes) 1554299924.719 * * [misc]simplify: iters left: 1 (139 enodes) 1554299924.751 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.751 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299924.751 * * [misc]simplify: Extracting #2: cost 38 inf + 0 1554299924.751 * * [misc]simplify: Extracting #3: cost 47 inf + 1 1554299924.752 * * [misc]simplify: Extracting #4: cost 54 inf + 3 1554299924.752 * * [misc]simplify: Extracting #5: cost 43 inf + 1006 1554299924.752 * * [misc]simplify: Extracting #6: cost 26 inf + 4673 1554299924.754 * * [misc]simplify: Extracting #7: cost 11 inf + 15593 1554299924.757 * * [misc]simplify: Extracting #8: cost 1 inf + 22788 1554299924.760 * * [misc]simplify: Extracting #9: cost 0 inf + 23774 1554299924.763 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299924.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299924.763 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299924.763 * * [misc]simplify: iters left: 6 (18 enodes) 1554299924.768 * * [misc]simplify: iters left: 5 (62 enodes) 1554299924.777 * * [misc]simplify: iters left: 4 (72 enodes) 1554299924.791 * * [misc]simplify: iters left: 3 (74 enodes) 1554299924.801 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.801 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299924.801 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299924.801 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299924.801 * * [misc]simplify: Extracting #4: cost 33 inf + 3 1554299924.801 * * [misc]simplify: Extracting #5: cost 23 inf + 752 1554299924.802 * * [misc]simplify: Extracting #6: cost 8 inf + 4843 1554299924.802 * * [misc]simplify: Extracting #7: cost 1 inf + 8828 1554299924.803 * * [misc]simplify: Extracting #8: cost 0 inf + 9813 1554299924.804 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299924.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299924.805 * * * * [misc]progress: [ 221 / 621 ] simplifiying candidate # 1554299924.805 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299924.805 * * [misc]simplify: iters left: 6 (20 enodes) 1554299924.810 * * [misc]simplify: iters left: 5 (70 enodes) 1554299924.831 * * [misc]simplify: iters left: 4 (85 enodes) 1554299924.843 * * [misc]simplify: iters left: 3 (97 enodes) 1554299924.856 * * [misc]simplify: iters left: 2 (99 enodes) 1554299924.868 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.868 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299924.869 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554299924.869 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554299924.869 * * [misc]simplify: Extracting #4: cost 42 inf + 3 1554299924.869 * * [misc]simplify: Extracting #5: cost 35 inf + 254 1554299924.869 * * [misc]simplify: Extracting #6: cost 20 inf + 2691 1554299924.870 * * [misc]simplify: Extracting #7: cost 13 inf + 5169 1554299924.871 * * [misc]simplify: Extracting #8: cost 8 inf + 7979 1554299924.872 * * [misc]simplify: Extracting #9: cost 0 inf + 14018 1554299924.874 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299924.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299924.874 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299924.874 * * [misc]simplify: iters left: 6 (18 enodes) 1554299924.880 * * [misc]simplify: iters left: 5 (62 enodes) 1554299924.896 * * [misc]simplify: iters left: 4 (72 enodes) 1554299924.907 * * [misc]simplify: iters left: 3 (74 enodes) 1554299924.921 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299924.921 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299924.921 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299924.921 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299924.921 * * [misc]simplify: Extracting #4: cost 33 inf + 3 1554299924.921 * * [misc]simplify: Extracting #5: cost 23 inf + 752 1554299924.922 * * [misc]simplify: Extracting #6: cost 8 inf + 4763 1554299924.924 * * [misc]simplify: Extracting #7: cost 1 inf + 8548 1554299924.926 * * [misc]simplify: Extracting #8: cost 0 inf + 9493 1554299924.928 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299924.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ 1 (sqrt PI))))))) 1554299924.929 * * * * [misc]progress: [ 222 / 621 ] simplifiying candidate # 1554299924.929 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299924.929 * * [misc]simplify: iters left: 6 (23 enodes) 1554299924.939 * * [misc]simplify: iters left: 5 (87 enodes) 1554299924.952 * * [misc]simplify: iters left: 4 (142 enodes) 1554299924.988 * * [misc]simplify: iters left: 3 (285 enodes) 1554299925.101 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299925.101 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554299925.103 * * [misc]simplify: Extracting #2: cost 169 inf + 0 1554299925.104 * * [misc]simplify: Extracting #3: cost 180 inf + 1 1554299925.108 * * [misc]simplify: Extracting #4: cost 180 inf + 46 1554299925.110 * * [misc]simplify: Extracting #5: cost 157 inf + 4525 1554299925.116 * * [misc]simplify: Extracting #6: cost 118 inf + 26382 1554299925.142 * * [misc]simplify: Extracting #7: cost 23 inf + 101360 1554299925.159 * * [misc]simplify: Extracting #8: cost 0 inf + 120437 1554299925.186 * * [misc]simplify: Extracting #9: cost 0 inf + 120317 1554299925.211 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) 1554299925.211 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299925.211 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299925.211 * * [misc]simplify: iters left: 6 (19 enodes) 1554299925.216 * * [misc]simplify: iters left: 5 (67 enodes) 1554299925.228 * * [misc]simplify: iters left: 4 (85 enodes) 1554299925.248 * * [misc]simplify: iters left: 3 (105 enodes) 1554299925.270 * * [misc]simplify: iters left: 2 (124 enodes) 1554299925.287 * * [misc]simplify: iters left: 1 (143 enodes) 1554299925.315 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299925.315 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299925.315 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299925.316 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299925.316 * * [misc]simplify: Extracting #4: cost 46 inf + 1242 1554299925.318 * * [misc]simplify: Extracting #5: cost 22 inf + 10320 1554299925.322 * * [misc]simplify: Extracting #6: cost 1 inf + 22971 1554299925.328 * * [misc]simplify: Extracting #7: cost 0 inf + 23996 1554299925.334 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) 1554299925.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))))) 1554299925.334 * * * * [misc]progress: [ 223 / 621 ] simplifiying candidate # 1554299925.335 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299925.335 * * [misc]simplify: iters left: 6 (22 enodes) 1554299925.347 * * [misc]simplify: iters left: 5 (80 enodes) 1554299925.372 * * [misc]simplify: iters left: 4 (114 enodes) 1554299925.409 * * [misc]simplify: iters left: 3 (195 enodes) 1554299925.473 * * [misc]simplify: iters left: 2 (371 enodes) 1554299925.593 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299925.593 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1554299925.594 * * [misc]simplify: Extracting #2: cost 130 inf + 0 1554299925.595 * * [misc]simplify: Extracting #3: cost 142 inf + 1 1554299925.596 * * [misc]simplify: Extracting #4: cost 143 inf + 5 1554299925.598 * * [misc]simplify: Extracting #5: cost 119 inf + 4703 1554299925.602 * * [misc]simplify: Extracting #6: cost 78 inf + 25767 1554299925.608 * * [misc]simplify: Extracting #7: cost 49 inf + 46289 1554299925.621 * * [misc]simplify: Extracting #8: cost 1 inf + 81159 1554299925.640 * * [misc]simplify: Extracting #9: cost 0 inf + 81984 1554299925.665 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2)))))) 1554299925.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299925.666 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299925.666 * * [misc]simplify: iters left: 6 (19 enodes) 1554299925.676 * * [misc]simplify: iters left: 5 (67 enodes) 1554299925.691 * * [misc]simplify: iters left: 4 (85 enodes) 1554299925.703 * * [misc]simplify: iters left: 3 (105 enodes) 1554299925.722 * * [misc]simplify: iters left: 2 (124 enodes) 1554299925.757 * * [misc]simplify: iters left: 1 (143 enodes) 1554299925.796 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299925.796 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299925.797 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299925.797 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299925.797 * * [misc]simplify: Extracting #4: cost 46 inf + 1202 1554299925.799 * * [misc]simplify: Extracting #5: cost 22 inf + 9960 1554299925.803 * * [misc]simplify: Extracting #6: cost 1 inf + 22131 1554299925.809 * * [misc]simplify: Extracting #7: cost 0 inf + 23116 1554299925.815 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) 1554299925.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))))) 1554299925.815 * * * * [misc]progress: [ 224 / 621 ] simplifiying candidate # 1554299925.816 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299925.816 * * [misc]simplify: iters left: 6 (19 enodes) 1554299925.821 * * [misc]simplify: iters left: 5 (68 enodes) 1554299925.832 * * [misc]simplify: iters left: 4 (102 enodes) 1554299925.852 * * [misc]simplify: iters left: 3 (164 enodes) 1554299925.903 * * [misc]simplify: iters left: 2 (290 enodes) 1554299926.053 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299926.053 * * [misc]simplify: Extracting #1: cost 47 inf + 0 1554299926.054 * * [misc]simplify: Extracting #2: cost 90 inf + 1 1554299926.055 * * [misc]simplify: Extracting #3: cost 97 inf + 2 1554299926.056 * * [misc]simplify: Extracting #4: cost 101 inf + 4 1554299926.057 * * [misc]simplify: Extracting #5: cost 83 inf + 2338 1554299926.059 * * [misc]simplify: Extracting #6: cost 69 inf + 6089 1554299926.066 * * [misc]simplify: Extracting #7: cost 25 inf + 28112 1554299926.080 * * [misc]simplify: Extracting #8: cost 0 inf + 39672 1554299926.095 * * [misc]simplify: Extracting #9: cost 0 inf + 39632 1554299926.110 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) 1554299926.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299926.110 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299926.110 * * [misc]simplify: iters left: 6 (18 enodes) 1554299926.116 * * [misc]simplify: iters left: 5 (64 enodes) 1554299926.126 * * [misc]simplify: iters left: 4 (82 enodes) 1554299926.138 * * [misc]simplify: iters left: 3 (102 enodes) 1554299926.163 * * [misc]simplify: iters left: 2 (121 enodes) 1554299926.179 * * [misc]simplify: iters left: 1 (140 enodes) 1554299926.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299926.206 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299926.206 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299926.206 * * [misc]simplify: Extracting #3: cost 55 inf + 2 1554299926.207 * * [misc]simplify: Extracting #4: cost 42 inf + 2269 1554299926.208 * * [misc]simplify: Extracting #5: cost 16 inf + 12433 1554299926.210 * * [misc]simplify: Extracting #6: cost 1 inf + 21475 1554299926.213 * * [misc]simplify: Extracting #7: cost 0 inf + 21970 1554299926.216 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) 1554299926.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1554299926.216 * * * * [misc]progress: [ 225 / 621 ] simplifiying candidate # 1554299926.216 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299926.216 * * [misc]simplify: iters left: 6 (22 enodes) 1554299926.222 * * [misc]simplify: iters left: 5 (80 enodes) 1554299926.242 * * [misc]simplify: iters left: 4 (113 enodes) 1554299926.263 * * [misc]simplify: iters left: 3 (184 enodes) 1554299926.326 * * [misc]simplify: iters left: 2 (349 enodes) 1554299926.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299926.472 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1554299926.473 * * [misc]simplify: Extracting #2: cost 136 inf + 0 1554299926.474 * * [misc]simplify: Extracting #3: cost 147 inf + 1 1554299926.475 * * [misc]simplify: Extracting #4: cost 148 inf + 5 1554299926.476 * * [misc]simplify: Extracting #5: cost 139 inf + 754 1554299926.479 * * [misc]simplify: Extracting #6: cost 111 inf + 10543 1554299926.484 * * [misc]simplify: Extracting #7: cost 90 inf + 23239 1554299926.505 * * [misc]simplify: Extracting #8: cost 19 inf + 75717 1554299926.518 * * [misc]simplify: Extracting #9: cost 0 inf + 89703 1554299926.532 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299926.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299926.532 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299926.532 * * [misc]simplify: iters left: 6 (19 enodes) 1554299926.541 * * [misc]simplify: iters left: 5 (67 enodes) 1554299926.561 * * [misc]simplify: iters left: 4 (85 enodes) 1554299926.588 * * [misc]simplify: iters left: 3 (105 enodes) 1554299926.616 * * [misc]simplify: iters left: 2 (124 enodes) 1554299926.649 * * [misc]simplify: iters left: 1 (143 enodes) 1554299926.679 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299926.680 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299926.680 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299926.680 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299926.680 * * [misc]simplify: Extracting #4: cost 46 inf + 1162 1554299926.681 * * [misc]simplify: Extracting #5: cost 22 inf + 9960 1554299926.683 * * [misc]simplify: Extracting #6: cost 1 inf + 22051 1554299926.686 * * [misc]simplify: Extracting #7: cost 0 inf + 23036 1554299926.689 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) 1554299926.689 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))))) 1554299926.689 * * * * [misc]progress: [ 226 / 621 ] simplifiying candidate # 1554299926.689 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299926.689 * * [misc]simplify: iters left: 6 (21 enodes) 1554299926.696 * * [misc]simplify: iters left: 5 (75 enodes) 1554299926.714 * * [misc]simplify: iters left: 4 (100 enodes) 1554299926.729 * * [misc]simplify: iters left: 3 (142 enodes) 1554299926.750 * * [misc]simplify: iters left: 2 (194 enodes) 1554299926.780 * * [misc]simplify: iters left: 1 (257 enodes) 1554299926.847 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299926.847 * * [misc]simplify: Extracting #1: cost 36 inf + 0 1554299926.847 * * [misc]simplify: Extracting #2: cost 71 inf + 0 1554299926.847 * * [misc]simplify: Extracting #3: cost 82 inf + 1 1554299926.848 * * [misc]simplify: Extracting #4: cost 81 inf + 127 1554299926.848 * * [misc]simplify: Extracting #5: cost 71 inf + 1662 1554299926.849 * * [misc]simplify: Extracting #6: cost 45 inf + 10421 1554299926.853 * * [misc]simplify: Extracting #7: cost 14 inf + 29453 1554299926.859 * * [misc]simplify: Extracting #8: cost 0 inf + 37806 1554299926.865 * [exit]simplify: Simplified to (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299926.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299926.865 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299926.865 * * [misc]simplify: iters left: 6 (19 enodes) 1554299926.871 * * [misc]simplify: iters left: 5 (67 enodes) 1554299926.881 * * [misc]simplify: iters left: 4 (85 enodes) 1554299926.893 * * [misc]simplify: iters left: 3 (105 enodes) 1554299926.912 * * [misc]simplify: iters left: 2 (124 enodes) 1554299926.929 * * [misc]simplify: iters left: 1 (143 enodes) 1554299926.953 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299926.953 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299926.953 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299926.953 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299926.954 * * [misc]simplify: Extracting #4: cost 46 inf + 1122 1554299926.956 * * [misc]simplify: Extracting #5: cost 22 inf + 9600 1554299926.960 * * [misc]simplify: Extracting #6: cost 1 inf + 21211 1554299926.967 * * [misc]simplify: Extracting #7: cost 0 inf + 22156 1554299926.973 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) 1554299926.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))))) 1554299926.973 * * * * [misc]progress: [ 227 / 621 ] simplifiying candidate # 1554299926.973 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299926.974 * * [misc]simplify: iters left: 6 (18 enodes) 1554299926.983 * * [misc]simplify: iters left: 5 (63 enodes) 1554299927.001 * * [misc]simplify: iters left: 4 (82 enodes) 1554299927.025 * * [misc]simplify: iters left: 3 (109 enodes) 1554299927.042 * * [misc]simplify: iters left: 2 (144 enodes) 1554299927.080 * * [misc]simplify: iters left: 1 (216 enodes) 1554299927.177 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299927.177 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299927.178 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1554299927.178 * * [misc]simplify: Extracting #3: cost 54 inf + 2 1554299927.179 * * [misc]simplify: Extracting #4: cost 54 inf + 289 1554299927.180 * * [misc]simplify: Extracting #5: cost 42 inf + 2200 1554299927.183 * * [misc]simplify: Extracting #6: cost 18 inf + 9478 1554299927.190 * * [misc]simplify: Extracting #7: cost 1 inf + 17322 1554299927.199 * * [misc]simplify: Extracting #8: cost 0 inf + 17938 1554299927.207 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299927.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299927.208 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299927.208 * * [misc]simplify: iters left: 6 (18 enodes) 1554299927.217 * * [misc]simplify: iters left: 5 (64 enodes) 1554299927.237 * * [misc]simplify: iters left: 4 (82 enodes) 1554299927.261 * * [misc]simplify: iters left: 3 (102 enodes) 1554299927.288 * * [misc]simplify: iters left: 2 (121 enodes) 1554299927.318 * * [misc]simplify: iters left: 1 (140 enodes) 1554299927.359 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299927.359 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299927.360 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299927.360 * * [misc]simplify: Extracting #3: cost 55 inf + 2 1554299927.361 * * [misc]simplify: Extracting #4: cost 42 inf + 2069 1554299927.363 * * [misc]simplify: Extracting #5: cost 16 inf + 11833 1554299927.368 * * [misc]simplify: Extracting #6: cost 1 inf + 20515 1554299927.373 * * [misc]simplify: Extracting #7: cost 0 inf + 21010 1554299927.378 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1554299927.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1554299927.379 * * * * [misc]progress: [ 228 / 621 ] simplifiying candidate # 1554299927.379 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299927.379 * * [misc]simplify: iters left: 6 (20 enodes) 1554299927.389 * * [misc]simplify: iters left: 5 (74 enodes) 1554299927.413 * * [misc]simplify: iters left: 4 (103 enodes) 1554299927.429 * * [misc]simplify: iters left: 3 (158 enodes) 1554299927.482 * * [misc]simplify: iters left: 2 (308 enodes) 1554299927.590 * * [misc]simplify: iters left: 1 (476 enodes) 1554299927.821 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299927.821 * * [misc]simplify: Extracting #1: cost 36 inf + 0 1554299927.822 * * [misc]simplify: Extracting #2: cost 101 inf + 1 1554299927.823 * * [misc]simplify: Extracting #3: cost 108 inf + 2 1554299927.824 * * [misc]simplify: Extracting #4: cost 111 inf + 45 1554299927.825 * * [misc]simplify: Extracting #5: cost 97 inf + 2230 1554299927.830 * * [misc]simplify: Extracting #6: cost 49 inf + 27830 1554299927.846 * * [misc]simplify: Extracting #7: cost 4 inf + 59255 1554299927.864 * * [misc]simplify: Extracting #8: cost 0 inf + 62839 1554299927.882 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (pow n (- 1/2 (/ k 2)))) 1554299927.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299927.883 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299927.883 * * [misc]simplify: iters left: 6 (18 enodes) 1554299927.891 * * [misc]simplify: iters left: 5 (64 enodes) 1554299927.910 * * [misc]simplify: iters left: 4 (82 enodes) 1554299927.934 * * [misc]simplify: iters left: 3 (102 enodes) 1554299927.960 * * [misc]simplify: iters left: 2 (121 enodes) 1554299927.993 * * [misc]simplify: iters left: 1 (140 enodes) 1554299928.032 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.032 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299928.033 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299928.033 * * [misc]simplify: Extracting #3: cost 51 inf + 84 1554299928.033 * * [misc]simplify: Extracting #4: cost 48 inf + 334 1554299928.035 * * [misc]simplify: Extracting #5: cost 23 inf + 9756 1554299928.040 * * [misc]simplify: Extracting #6: cost 1 inf + 21499 1554299928.045 * * [misc]simplify: Extracting #7: cost 0 inf + 21994 1554299928.051 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (cbrt (/ 1 (sqrt PI))))) (cbrt (pow PI (- (/ k 2))))) 1554299928.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (cbrt (/ 1 (sqrt PI))))) (cbrt (pow PI (- (/ k 2))))))) 1554299928.051 * * * * [misc]progress: [ 229 / 621 ] simplifiying candidate # 1554299928.051 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299928.052 * * [misc]simplify: iters left: 6 (19 enodes) 1554299928.061 * * [misc]simplify: iters left: 5 (69 enodes) 1554299928.082 * * [misc]simplify: iters left: 4 (90 enodes) 1554299928.109 * * [misc]simplify: iters left: 3 (117 enodes) 1554299928.152 * * [misc]simplify: iters left: 2 (164 enodes) 1554299928.202 * * [misc]simplify: iters left: 1 (203 enodes) 1554299928.236 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.236 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299928.236 * * [misc]simplify: Extracting #2: cost 48 inf + 1 1554299928.237 * * [misc]simplify: Extracting #3: cost 55 inf + 2 1554299928.237 * * [misc]simplify: Extracting #4: cost 58 inf + 45 1554299928.238 * * [misc]simplify: Extracting #5: cost 33 inf + 6283 1554299928.243 * * [misc]simplify: Extracting #6: cost 2 inf + 23850 1554299928.250 * * [misc]simplify: Extracting #7: cost 0 inf + 24760 1554299928.257 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (/ 1 (sqrt PI))) (pow n (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299928.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (/ 1 (sqrt PI))) (pow n (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299928.257 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299928.258 * * [misc]simplify: iters left: 6 (18 enodes) 1554299928.266 * * [misc]simplify: iters left: 5 (64 enodes) 1554299928.285 * * [misc]simplify: iters left: 4 (82 enodes) 1554299928.309 * * [misc]simplify: iters left: 3 (102 enodes) 1554299928.336 * * [misc]simplify: iters left: 2 (121 enodes) 1554299928.352 * * [misc]simplify: iters left: 1 (140 enodes) 1554299928.373 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.373 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299928.373 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299928.373 * * [misc]simplify: Extracting #3: cost 51 inf + 84 1554299928.373 * * [misc]simplify: Extracting #4: cost 48 inf + 334 1554299928.374 * * [misc]simplify: Extracting #5: cost 23 inf + 9396 1554299928.377 * * [misc]simplify: Extracting #6: cost 1 inf + 20619 1554299928.379 * * [misc]simplify: Extracting #7: cost 0 inf + 21114 1554299928.384 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) 1554299928.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (cbrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))))) 1554299928.384 * * * * [misc]progress: [ 230 / 621 ] simplifiying candidate # 1554299928.384 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299928.385 * * [misc]simplify: iters left: 6 (16 enodes) 1554299928.393 * * [misc]simplify: iters left: 5 (55 enodes) 1554299928.410 * * [misc]simplify: iters left: 4 (69 enodes) 1554299928.430 * * [misc]simplify: iters left: 3 (76 enodes) 1554299928.448 * * [misc]simplify: iters left: 2 (77 enodes) 1554299928.460 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.460 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299928.460 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299928.460 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299928.460 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554299928.461 * * [misc]simplify: Extracting #5: cost 18 inf + 213 1554299928.461 * * [misc]simplify: Extracting #6: cost 3 inf + 2600 1554299928.461 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 1554299928.462 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299928.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299928.462 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299928.462 * * [misc]simplify: iters left: 6 (17 enodes) 1554299928.467 * * [misc]simplify: iters left: 5 (61 enodes) 1554299928.477 * * [misc]simplify: iters left: 4 (79 enodes) 1554299928.491 * * [misc]simplify: iters left: 3 (99 enodes) 1554299928.519 * * [misc]simplify: iters left: 2 (118 enodes) 1554299928.549 * * [misc]simplify: iters left: 1 (137 enodes) 1554299928.587 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.587 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299928.587 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299928.587 * * [misc]simplify: Extracting #3: cost 51 inf + 44 1554299928.588 * * [misc]simplify: Extracting #4: cost 44 inf + 1041 1554299928.590 * * [misc]simplify: Extracting #5: cost 13 inf + 12251 1554299928.595 * * [misc]simplify: Extracting #6: cost 1 inf + 19264 1554299928.601 * * [misc]simplify: Extracting #7: cost 0 inf + 19968 1554299928.608 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))) 1554299928.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) (* (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1554299928.608 * * * * [misc]progress: [ 231 / 621 ] simplifiying candidate # 1554299928.608 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) 1554299928.609 * * [misc]simplify: iters left: 6 (15 enodes) 1554299928.616 * * [misc]simplify: iters left: 5 (52 enodes) 1554299928.626 * * [misc]simplify: iters left: 4 (67 enodes) 1554299928.636 * * [misc]simplify: iters left: 3 (76 enodes) 1554299928.646 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.646 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299928.646 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299928.646 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299928.646 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554299928.646 * * [misc]simplify: Extracting #5: cost 17 inf + 295 1554299928.646 * * [misc]simplify: Extracting #6: cost 6 inf + 1700 1554299928.647 * * [misc]simplify: Extracting #7: cost 1 inf + 3592 1554299928.647 * * [misc]simplify: Extracting #8: cost 0 inf + 4128 1554299928.648 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299928.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299928.648 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299928.648 * * [misc]simplify: iters left: 6 (17 enodes) 1554299928.652 * * [misc]simplify: iters left: 5 (61 enodes) 1554299928.670 * * [misc]simplify: iters left: 4 (79 enodes) 1554299928.693 * * [misc]simplify: iters left: 3 (99 enodes) 1554299928.720 * * [misc]simplify: iters left: 2 (118 enodes) 1554299928.753 * * [misc]simplify: iters left: 1 (137 enodes) 1554299928.774 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.774 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299928.774 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299928.774 * * [misc]simplify: Extracting #3: cost 51 inf + 44 1554299928.774 * * [misc]simplify: Extracting #4: cost 44 inf + 1041 1554299928.775 * * [misc]simplify: Extracting #5: cost 13 inf + 12251 1554299928.778 * * [misc]simplify: Extracting #6: cost 1 inf + 19264 1554299928.780 * * [misc]simplify: Extracting #7: cost 0 inf + 19968 1554299928.783 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))) 1554299928.783 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) (* (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1554299928.783 * * * * [misc]progress: [ 232 / 621 ] simplifiying candidate # 1554299928.783 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299928.783 * * [misc]simplify: iters left: 6 (16 enodes) 1554299928.790 * * [misc]simplify: iters left: 5 (57 enodes) 1554299928.807 * * [misc]simplify: iters left: 4 (74 enodes) 1554299928.829 * * [misc]simplify: iters left: 3 (88 enodes) 1554299928.851 * * [misc]simplify: iters left: 2 (90 enodes) 1554299928.863 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.863 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299928.863 * * [misc]simplify: Extracting #2: cost 26 inf + 0 1554299928.863 * * [misc]simplify: Extracting #3: cost 29 inf + 84 1554299928.863 * * [misc]simplify: Extracting #4: cost 33 inf + 86 1554299928.863 * * [misc]simplify: Extracting #5: cost 27 inf + 379 1554299928.863 * * [misc]simplify: Extracting #6: cost 18 inf + 2002 1554299928.864 * * [misc]simplify: Extracting #7: cost 9 inf + 4663 1554299928.865 * * [misc]simplify: Extracting #8: cost 2 inf + 7495 1554299928.866 * * [misc]simplify: Extracting #9: cost 0 inf + 8394 1554299928.867 * [exit]simplify: Simplified to (/ (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299928.867 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299928.867 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299928.868 * * [misc]simplify: iters left: 6 (16 enodes) 1554299928.872 * * [misc]simplify: iters left: 5 (58 enodes) 1554299928.884 * * [misc]simplify: iters left: 4 (72 enodes) 1554299928.904 * * [misc]simplify: iters left: 3 (83 enodes) 1554299928.930 * * [misc]simplify: iters left: 2 (108 enodes) 1554299928.960 * * [misc]simplify: iters left: 1 (123 enodes) 1554299928.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299928.981 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299928.981 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299928.981 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299928.982 * * [misc]simplify: Extracting #4: cost 33 inf + 127 1554299928.982 * * [misc]simplify: Extracting #5: cost 20 inf + 1413 1554299928.983 * * [misc]simplify: Extracting #6: cost 2 inf + 9445 1554299928.984 * * [misc]simplify: Extracting #7: cost 0 inf + 10433 1554299928.986 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (sqrt PI)))) (pow 2 (- 1/2 (/ k 2)))) 1554299928.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) (* (/ (pow PI (/ (- k) 2)) (cbrt (/ 1 (sqrt PI)))) (pow 2 (- 1/2 (/ k 2)))))) 1554299928.986 * * * * [misc]progress: [ 233 / 621 ] simplifiying candidate # 1554299928.986 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299928.986 * * [misc]simplify: iters left: 6 (17 enodes) 1554299928.990 * * [misc]simplify: iters left: 5 (60 enodes) 1554299929.001 * * [misc]simplify: iters left: 4 (79 enodes) 1554299929.019 * * [misc]simplify: iters left: 3 (106 enodes) 1554299929.036 * * [misc]simplify: iters left: 2 (141 enodes) 1554299929.076 * * [misc]simplify: iters left: 1 (213 enodes) 1554299929.153 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.153 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299929.154 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299929.154 * * [misc]simplify: Extracting #3: cost 49 inf + 44 1554299929.154 * * [misc]simplify: Extracting #4: cost 51 inf + 250 1554299929.154 * * [misc]simplify: Extracting #5: cost 40 inf + 1919 1554299929.156 * * [misc]simplify: Extracting #6: cost 18 inf + 8355 1554299929.161 * * [misc]simplify: Extracting #7: cost 0 inf + 16320 1554299929.167 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299929.167 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299929.167 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299929.167 * * [misc]simplify: iters left: 6 (14 enodes) 1554299929.174 * * [misc]simplify: iters left: 5 (49 enodes) 1554299929.189 * * [misc]simplify: iters left: 4 (61 enodes) 1554299929.197 * * [misc]simplify: iters left: 3 (65 enodes) 1554299929.207 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.207 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299929.207 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299929.207 * * [misc]simplify: Extracting #3: cost 25 inf + 2 1554299929.207 * * [misc]simplify: Extracting #4: cost 20 inf + 465 1554299929.207 * * [misc]simplify: Extracting #5: cost 9 inf + 2945 1554299929.208 * * [misc]simplify: Extracting #6: cost 0 inf + 6639 1554299929.209 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (cbrt (/ 1 (sqrt PI))))) 1554299929.209 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (cbrt (/ 1 (sqrt PI))))))) 1554299929.209 * * * * [misc]progress: [ 234 / 621 ] simplifiying candidate # 1554299929.209 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299929.209 * * [misc]simplify: iters left: 6 (19 enodes) 1554299929.214 * * [misc]simplify: iters left: 5 (65 enodes) 1554299929.225 * * [misc]simplify: iters left: 4 (80 enodes) 1554299929.248 * * [misc]simplify: iters left: 3 (107 enodes) 1554299929.281 * * [misc]simplify: iters left: 2 (139 enodes) 1554299929.309 * * [misc]simplify: iters left: 1 (212 enodes) 1554299929.378 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.379 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299929.379 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299929.379 * * [misc]simplify: Extracting #3: cost 46 inf + 167 1554299929.379 * * [misc]simplify: Extracting #4: cost 50 inf + 250 1554299929.380 * * [misc]simplify: Extracting #5: cost 42 inf + 1463 1554299929.380 * * [misc]simplify: Extracting #6: cost 35 inf + 2499 1554299929.382 * * [misc]simplify: Extracting #7: cost 14 inf + 9923 1554299929.385 * * [misc]simplify: Extracting #8: cost 0 inf + 15784 1554299929.388 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) 1554299929.388 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299929.388 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299929.388 * * [misc]simplify: iters left: 6 (14 enodes) 1554299929.392 * * [misc]simplify: iters left: 5 (49 enodes) 1554299929.403 * * [misc]simplify: iters left: 4 (61 enodes) 1554299929.420 * * [misc]simplify: iters left: 3 (65 enodes) 1554299929.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.434 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299929.434 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299929.434 * * [misc]simplify: Extracting #3: cost 25 inf + 2 1554299929.434 * * [misc]simplify: Extracting #4: cost 20 inf + 465 1554299929.435 * * [misc]simplify: Extracting #5: cost 9 inf + 2945 1554299929.435 * * [misc]simplify: Extracting #6: cost 0 inf + 6639 1554299929.436 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (cbrt (/ 1 (sqrt PI))))) 1554299929.436 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (cbrt (/ 1 (sqrt PI))))))) 1554299929.436 * * * * [misc]progress: [ 235 / 621 ] simplifiying candidate # 1554299929.436 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299929.437 * * [misc]simplify: iters left: 6 (20 enodes) 1554299929.442 * * [misc]simplify: iters left: 5 (70 enodes) 1554299929.453 * * [misc]simplify: iters left: 4 (85 enodes) 1554299929.467 * * [misc]simplify: iters left: 3 (94 enodes) 1554299929.480 * * [misc]simplify: iters left: 2 (97 enodes) 1554299929.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.499 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299929.500 * * [misc]simplify: Extracting #2: cost 24 inf + 0 1554299929.500 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554299929.500 * * [misc]simplify: Extracting #4: cost 42 inf + 3 1554299929.500 * * [misc]simplify: Extracting #5: cost 34 inf + 295 1554299929.501 * * [misc]simplify: Extracting #6: cost 19 inf + 2784 1554299929.502 * * [misc]simplify: Extracting #7: cost 15 inf + 4359 1554299929.504 * * [misc]simplify: Extracting #8: cost 0 inf + 15098 1554299929.508 * [exit]simplify: Simplified to (/ (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299929.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299929.508 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299929.509 * * [misc]simplify: iters left: 6 (18 enodes) 1554299929.517 * * [misc]simplify: iters left: 5 (62 enodes) 1554299929.536 * * [misc]simplify: iters left: 4 (72 enodes) 1554299929.556 * * [misc]simplify: iters left: 3 (74 enodes) 1554299929.577 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.577 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299929.577 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299929.577 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299929.577 * * [misc]simplify: Extracting #4: cost 33 inf + 3 1554299929.577 * * [misc]simplify: Extracting #5: cost 23 inf + 752 1554299929.578 * * [misc]simplify: Extracting #6: cost 8 inf + 4723 1554299929.580 * * [misc]simplify: Extracting #7: cost 1 inf + 8548 1554299929.582 * * [misc]simplify: Extracting #8: cost 0 inf + 9493 1554299929.584 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299929.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299929.585 * * * * [misc]progress: [ 236 / 621 ] simplifiying candidate # 1554299929.585 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299929.585 * * [misc]simplify: iters left: 6 (19 enodes) 1554299929.597 * * [misc]simplify: iters left: 5 (65 enodes) 1554299929.616 * * [misc]simplify: iters left: 4 (75 enodes) 1554299929.637 * * [misc]simplify: iters left: 3 (77 enodes) 1554299929.650 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.650 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299929.650 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299929.650 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299929.650 * * [misc]simplify: Extracting #4: cost 34 inf + 3 1554299929.650 * * [misc]simplify: Extracting #5: cost 27 inf + 254 1554299929.650 * * [misc]simplify: Extracting #6: cost 10 inf + 3491 1554299929.651 * * [misc]simplify: Extracting #7: cost 5 inf + 5598 1554299929.652 * * [misc]simplify: Extracting #8: cost 0 inf + 9022 1554299929.653 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299929.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299929.653 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299929.653 * * [misc]simplify: iters left: 6 (18 enodes) 1554299929.658 * * [misc]simplify: iters left: 5 (62 enodes) 1554299929.667 * * [misc]simplify: iters left: 4 (72 enodes) 1554299929.678 * * [misc]simplify: iters left: 3 (74 enodes) 1554299929.688 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.688 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299929.688 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299929.688 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299929.688 * * [misc]simplify: Extracting #4: cost 33 inf + 3 1554299929.688 * * [misc]simplify: Extracting #5: cost 23 inf + 752 1554299929.689 * * [misc]simplify: Extracting #6: cost 8 inf + 4643 1554299929.691 * * [misc]simplify: Extracting #7: cost 1 inf + 8268 1554299929.693 * * [misc]simplify: Extracting #8: cost 0 inf + 9173 1554299929.695 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299929.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (sqrt (/ 1 (sqrt PI))))))) 1554299929.695 * * * * [misc]progress: [ 237 / 621 ] simplifiying candidate # 1554299929.696 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299929.696 * * [misc]simplify: iters left: 6 (22 enodes) 1554299929.707 * * [misc]simplify: iters left: 5 (82 enodes) 1554299929.720 * * [misc]simplify: iters left: 4 (130 enodes) 1554299929.751 * * [misc]simplify: iters left: 3 (233 enodes) 1554299929.830 * * [misc]simplify: iters left: 2 (423 enodes) 1554299929.988 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299929.990 * * [misc]simplify: Extracting #1: cost 55 inf + 0 1554299929.990 * * [misc]simplify: Extracting #2: cost 123 inf + 0 1554299929.991 * * [misc]simplify: Extracting #3: cost 134 inf + 1 1554299929.991 * * [misc]simplify: Extracting #4: cost 134 inf + 46 1554299929.992 * * [misc]simplify: Extracting #5: cost 117 inf + 3116 1554299929.994 * * [misc]simplify: Extracting #6: cost 95 inf + 11052 1554299929.999 * * [misc]simplify: Extracting #7: cost 69 inf + 27176 1554299930.021 * * [misc]simplify: Extracting #8: cost 12 inf + 71697 1554299930.048 * * [misc]simplify: Extracting #9: cost 0 inf + 81323 1554299930.075 * * [misc]simplify: Extracting #10: cost 0 inf + 81283 1554299930.102 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1554299930.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299930.102 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299930.103 * * [misc]simplify: iters left: 6 (19 enodes) 1554299930.112 * * [misc]simplify: iters left: 5 (67 enodes) 1554299930.133 * * [misc]simplify: iters left: 4 (85 enodes) 1554299930.160 * * [misc]simplify: iters left: 3 (105 enodes) 1554299930.178 * * [misc]simplify: iters left: 2 (124 enodes) 1554299930.195 * * [misc]simplify: iters left: 1 (143 enodes) 1554299930.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299930.216 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299930.216 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299930.216 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299930.216 * * [misc]simplify: Extracting #4: cost 46 inf + 1242 1554299930.217 * * [misc]simplify: Extracting #5: cost 22 inf + 9840 1554299930.219 * * [misc]simplify: Extracting #6: cost 1 inf + 22091 1554299930.222 * * [misc]simplify: Extracting #7: cost 0 inf + 23076 1554299930.225 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) 1554299930.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))))) 1554299930.225 * * * * [misc]progress: [ 238 / 621 ] simplifiying candidate # 1554299930.226 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299930.226 * * [misc]simplify: iters left: 6 (21 enodes) 1554299930.231 * * [misc]simplify: iters left: 5 (75 enodes) 1554299930.244 * * [misc]simplify: iters left: 4 (102 enodes) 1554299930.263 * * [misc]simplify: iters left: 3 (155 enodes) 1554299930.304 * * [misc]simplify: iters left: 2 (235 enodes) 1554299930.361 * * [misc]simplify: iters left: 1 (290 enodes) 1554299930.414 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299930.415 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1554299930.416 * * [misc]simplify: Extracting #2: cost 70 inf + 0 1554299930.416 * * [misc]simplify: Extracting #3: cost 81 inf + 1 1554299930.417 * * [misc]simplify: Extracting #4: cost 79 inf + 328 1554299930.417 * * [misc]simplify: Extracting #5: cost 63 inf + 3297 1554299930.419 * * [misc]simplify: Extracting #6: cost 38 inf + 12878 1554299930.422 * * [misc]simplify: Extracting #7: cost 15 inf + 27227 1554299930.432 * * [misc]simplify: Extracting #8: cost 0 inf + 36810 1554299930.444 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (* (sqrt (/ 1 (sqrt PI))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1554299930.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (* (sqrt (/ 1 (sqrt PI))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299930.445 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299930.445 * * [misc]simplify: iters left: 6 (19 enodes) 1554299930.454 * * [misc]simplify: iters left: 5 (67 enodes) 1554299930.474 * * [misc]simplify: iters left: 4 (85 enodes) 1554299930.499 * * [misc]simplify: iters left: 3 (105 enodes) 1554299930.527 * * [misc]simplify: iters left: 2 (124 enodes) 1554299930.561 * * [misc]simplify: iters left: 1 (143 enodes) 1554299930.583 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299930.583 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299930.583 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299930.583 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299930.584 * * [misc]simplify: Extracting #4: cost 46 inf + 1202 1554299930.584 * * [misc]simplify: Extracting #5: cost 22 inf + 9480 1554299930.587 * * [misc]simplify: Extracting #6: cost 1 inf + 21251 1554299930.590 * * [misc]simplify: Extracting #7: cost 0 inf + 22196 1554299930.593 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) 1554299930.593 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))))) 1554299930.593 * * * * [misc]progress: [ 239 / 621 ] simplifiying candidate # 1554299930.593 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299930.593 * * [misc]simplify: iters left: 6 (18 enodes) 1554299930.599 * * [misc]simplify: iters left: 5 (63 enodes) 1554299930.619 * * [misc]simplify: iters left: 4 (92 enodes) 1554299930.647 * * [misc]simplify: iters left: 3 (132 enodes) 1554299930.693 * * [misc]simplify: iters left: 2 (178 enodes) 1554299930.730 * * [misc]simplify: iters left: 1 (242 enodes) 1554299930.785 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299930.785 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299930.785 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299930.785 * * [misc]simplify: Extracting #3: cost 53 inf + 2 1554299930.786 * * [misc]simplify: Extracting #4: cost 52 inf + 489 1554299930.786 * * [misc]simplify: Extracting #5: cost 37 inf + 3699 1554299930.787 * * [misc]simplify: Extracting #6: cost 28 inf + 5843 1554299930.789 * * [misc]simplify: Extracting #7: cost 24 inf + 6502 1554299930.793 * * [misc]simplify: Extracting #8: cost 10 inf + 12007 1554299930.800 * * [misc]simplify: Extracting #9: cost 0 inf + 16473 1554299930.807 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299930.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299930.808 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299930.808 * * [misc]simplify: iters left: 6 (18 enodes) 1554299930.817 * * [misc]simplify: iters left: 5 (64 enodes) 1554299930.836 * * [misc]simplify: iters left: 4 (82 enodes) 1554299930.865 * * [misc]simplify: iters left: 3 (102 enodes) 1554299930.893 * * [misc]simplify: iters left: 2 (121 enodes) 1554299930.924 * * [misc]simplify: iters left: 1 (140 enodes) 1554299930.961 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299930.961 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299930.961 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299930.961 * * [misc]simplify: Extracting #3: cost 55 inf + 2 1554299930.962 * * [misc]simplify: Extracting #4: cost 42 inf + 2269 1554299930.963 * * [misc]simplify: Extracting #5: cost 16 inf + 11993 1554299930.965 * * [misc]simplify: Extracting #6: cost 1 inf + 20595 1554299930.968 * * [misc]simplify: Extracting #7: cost 0 inf + 21050 1554299930.971 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) 1554299930.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1554299930.971 * * * * [misc]progress: [ 240 / 621 ] simplifiying candidate # 1554299930.971 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299930.971 * * [misc]simplify: iters left: 6 (21 enodes) 1554299930.976 * * [misc]simplify: iters left: 5 (75 enodes) 1554299930.990 * * [misc]simplify: iters left: 4 (101 enodes) 1554299931.006 * * [misc]simplify: iters left: 3 (144 enodes) 1554299931.030 * * [misc]simplify: iters left: 2 (217 enodes) 1554299931.094 * * [misc]simplify: iters left: 1 (284 enodes) 1554299931.154 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299931.154 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299931.154 * * [misc]simplify: Extracting #2: cost 79 inf + 0 1554299931.154 * * [misc]simplify: Extracting #3: cost 91 inf + 1 1554299931.155 * * [misc]simplify: Extracting #4: cost 88 inf + 209 1554299931.155 * * [misc]simplify: Extracting #5: cost 75 inf + 1728 1554299931.157 * * [misc]simplify: Extracting #6: cost 36 inf + 23033 1554299931.169 * * [misc]simplify: Extracting #7: cost 4 inf + 45151 1554299931.180 * * [misc]simplify: Extracting #8: cost 0 inf + 48150 1554299931.187 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI))))) 1554299931.187 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299931.187 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299931.188 * * [misc]simplify: iters left: 6 (19 enodes) 1554299931.192 * * [misc]simplify: iters left: 5 (67 enodes) 1554299931.202 * * [misc]simplify: iters left: 4 (85 enodes) 1554299931.219 * * [misc]simplify: iters left: 3 (105 enodes) 1554299931.246 * * [misc]simplify: iters left: 2 (124 enodes) 1554299931.274 * * [misc]simplify: iters left: 1 (143 enodes) 1554299931.299 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299931.300 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299931.300 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299931.300 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299931.300 * * [misc]simplify: Extracting #4: cost 46 inf + 1162 1554299931.303 * * [misc]simplify: Extracting #5: cost 22 inf + 9480 1554299931.307 * * [misc]simplify: Extracting #6: cost 1 inf + 21171 1554299931.313 * * [misc]simplify: Extracting #7: cost 0 inf + 22116 1554299931.318 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) 1554299931.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))))) 1554299931.319 * * * * [misc]progress: [ 241 / 621 ] simplifiying candidate # 1554299931.319 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299931.319 * * [misc]simplify: iters left: 6 (20 enodes) 1554299931.325 * * [misc]simplify: iters left: 5 (70 enodes) 1554299931.335 * * [misc]simplify: iters left: 4 (88 enodes) 1554299931.348 * * [misc]simplify: iters left: 3 (108 enodes) 1554299931.375 * * [misc]simplify: iters left: 2 (127 enodes) 1554299931.402 * * [misc]simplify: iters left: 1 (146 enodes) 1554299931.426 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299931.426 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299931.426 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299931.426 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299931.427 * * [misc]simplify: Extracting #4: cost 55 inf + 127 1554299931.428 * * [misc]simplify: Extracting #5: cost 33 inf + 4208 1554299931.430 * * [misc]simplify: Extracting #6: cost 19 inf + 9463 1554299931.434 * * [misc]simplify: Extracting #7: cost 2 inf + 20019 1554299931.438 * * [misc]simplify: Extracting #8: cost 0 inf + 21258 1554299931.441 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) 1554299931.441 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299931.441 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299931.441 * * [misc]simplify: iters left: 6 (19 enodes) 1554299931.446 * * [misc]simplify: iters left: 5 (67 enodes) 1554299931.456 * * [misc]simplify: iters left: 4 (85 enodes) 1554299931.469 * * [misc]simplify: iters left: 3 (105 enodes) 1554299931.487 * * [misc]simplify: iters left: 2 (124 enodes) 1554299931.505 * * [misc]simplify: iters left: 1 (143 enodes) 1554299931.544 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299931.544 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299931.545 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299931.545 * * [misc]simplify: Extracting #3: cost 56 inf + 1 1554299931.545 * * [misc]simplify: Extracting #4: cost 46 inf + 1122 1554299931.547 * * [misc]simplify: Extracting #5: cost 22 inf + 9120 1554299931.552 * * [misc]simplify: Extracting #6: cost 1 inf + 20331 1554299931.558 * * [misc]simplify: Extracting #7: cost 0 inf + 21236 1554299931.564 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) 1554299931.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))))) 1554299931.564 * * * * [misc]progress: [ 242 / 621 ] simplifiying candidate # 1554299931.565 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299931.565 * * [misc]simplify: iters left: 6 (17 enodes) 1554299931.573 * * [misc]simplify: iters left: 5 (58 enodes) 1554299931.591 * * [misc]simplify: iters left: 4 (72 enodes) 1554299931.614 * * [misc]simplify: iters left: 3 (85 enodes) 1554299931.637 * * [misc]simplify: iters left: 2 (97 enodes) 1554299931.666 * * [misc]simplify: iters left: 1 (123 enodes) 1554299931.704 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299931.704 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299931.704 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299931.704 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299931.705 * * [misc]simplify: Extracting #4: cost 37 inf + 45 1554299931.705 * * [misc]simplify: Extracting #5: cost 26 inf + 703 1554299931.706 * * [misc]simplify: Extracting #6: cost 9 inf + 5292 1554299931.710 * * [misc]simplify: Extracting #7: cost 1 inf + 7963 1554299931.713 * * [misc]simplify: Extracting #8: cost 0 inf + 8206 1554299931.716 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) 1554299931.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299931.717 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299931.717 * * [misc]simplify: iters left: 6 (18 enodes) 1554299931.725 * * [misc]simplify: iters left: 5 (64 enodes) 1554299931.745 * * [misc]simplify: iters left: 4 (82 enodes) 1554299931.771 * * [misc]simplify: iters left: 3 (102 enodes) 1554299931.799 * * [misc]simplify: iters left: 2 (121 enodes) 1554299931.819 * * [misc]simplify: iters left: 1 (140 enodes) 1554299931.839 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299931.839 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299931.839 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299931.839 * * [misc]simplify: Extracting #3: cost 55 inf + 2 1554299931.839 * * [misc]simplify: Extracting #4: cost 42 inf + 2069 1554299931.841 * * [misc]simplify: Extracting #5: cost 16 inf + 11393 1554299931.843 * * [misc]simplify: Extracting #6: cost 1 inf + 19635 1554299931.847 * * [misc]simplify: Extracting #7: cost 0 inf + 20090 1554299931.851 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1554299931.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1554299931.851 * * * * [misc]progress: [ 243 / 621 ] simplifiying candidate # 1554299931.851 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299931.851 * * [misc]simplify: iters left: 6 (19 enodes) 1554299931.857 * * [misc]simplify: iters left: 5 (69 enodes) 1554299931.869 * * [misc]simplify: iters left: 4 (91 enodes) 1554299931.883 * * [misc]simplify: iters left: 3 (123 enodes) 1554299931.914 * * [misc]simplify: iters left: 2 (199 enodes) 1554299931.962 * * [misc]simplify: iters left: 1 (273 enodes) 1554299932.014 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.014 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299932.014 * * [misc]simplify: Extracting #2: cost 64 inf + 1 1554299932.014 * * [misc]simplify: Extracting #3: cost 71 inf + 2 1554299932.014 * * [misc]simplify: Extracting #4: cost 74 inf + 45 1554299932.015 * * [misc]simplify: Extracting #5: cost 53 inf + 5105 1554299932.018 * * [misc]simplify: Extracting #6: cost 7 inf + 30946 1554299932.022 * * [misc]simplify: Extracting #7: cost 0 inf + 35360 1554299932.027 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (/ 1 (sqrt PI)))) (pow n (- 1/2 (/ k 2)))) 1554299932.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (/ 1 (sqrt PI)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299932.028 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299932.028 * * [misc]simplify: iters left: 6 (18 enodes) 1554299932.032 * * [misc]simplify: iters left: 5 (64 enodes) 1554299932.042 * * [misc]simplify: iters left: 4 (82 enodes) 1554299932.061 * * [misc]simplify: iters left: 3 (102 enodes) 1554299932.089 * * [misc]simplify: iters left: 2 (121 enodes) 1554299932.123 * * [misc]simplify: iters left: 1 (140 enodes) 1554299932.148 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.148 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299932.148 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299932.149 * * [misc]simplify: Extracting #3: cost 51 inf + 84 1554299932.149 * * [misc]simplify: Extracting #4: cost 48 inf + 334 1554299932.150 * * [misc]simplify: Extracting #5: cost 23 inf + 9316 1554299932.152 * * [misc]simplify: Extracting #6: cost 1 inf + 20619 1554299932.155 * * [misc]simplify: Extracting #7: cost 0 inf + 21074 1554299932.158 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (/ 1 (sqrt PI))))) (cbrt (pow PI (- (/ k 2))))) 1554299932.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (/ 1 (sqrt PI))))) (cbrt (pow PI (- (/ k 2))))))) 1554299932.158 * * * * [misc]progress: [ 244 / 621 ] simplifiying candidate # 1554299932.159 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299932.159 * * [misc]simplify: iters left: 6 (18 enodes) 1554299932.164 * * [misc]simplify: iters left: 5 (64 enodes) 1554299932.174 * * [misc]simplify: iters left: 4 (78 enodes) 1554299932.185 * * [misc]simplify: iters left: 3 (89 enodes) 1554299932.204 * * [misc]simplify: iters left: 2 (114 enodes) 1554299932.232 * * [misc]simplify: iters left: 1 (130 enodes) 1554299932.250 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.250 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299932.250 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299932.250 * * [misc]simplify: Extracting #3: cost 33 inf + 2 1554299932.250 * * [misc]simplify: Extracting #4: cost 36 inf + 45 1554299932.250 * * [misc]simplify: Extracting #5: cost 26 inf + 664 1554299932.251 * * [misc]simplify: Extracting #6: cost 11 inf + 5108 1554299932.252 * * [misc]simplify: Extracting #7: cost 0 inf + 10872 1554299932.254 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (pow n (- 1/2 (/ k 2))))) 1554299932.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (pow n (- 1/2 (/ k 2))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299932.254 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299932.254 * * [misc]simplify: iters left: 6 (18 enodes) 1554299932.259 * * [misc]simplify: iters left: 5 (64 enodes) 1554299932.276 * * [misc]simplify: iters left: 4 (82 enodes) 1554299932.301 * * [misc]simplify: iters left: 3 (102 enodes) 1554299932.330 * * [misc]simplify: iters left: 2 (121 enodes) 1554299932.364 * * [misc]simplify: iters left: 1 (140 enodes) 1554299932.385 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.385 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299932.385 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299932.385 * * [misc]simplify: Extracting #3: cost 51 inf + 84 1554299932.385 * * [misc]simplify: Extracting #4: cost 48 inf + 334 1554299932.386 * * [misc]simplify: Extracting #5: cost 23 inf + 8956 1554299932.389 * * [misc]simplify: Extracting #6: cost 1 inf + 19739 1554299932.391 * * [misc]simplify: Extracting #7: cost 0 inf + 20194 1554299932.394 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))) 1554299932.394 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (/ 1 (sqrt PI))))) (sqrt (pow PI (- (/ k 2))))))) 1554299932.394 * * * * [misc]progress: [ 245 / 621 ] simplifiying candidate # 1554299932.395 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299932.395 * * [misc]simplify: iters left: 6 (15 enodes) 1554299932.400 * * [misc]simplify: iters left: 5 (50 enodes) 1554299932.415 * * [misc]simplify: iters left: 4 (60 enodes) 1554299932.432 * * [misc]simplify: iters left: 3 (65 enodes) 1554299932.448 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.448 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299932.449 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299932.449 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299932.449 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554299932.449 * * [misc]simplify: Extracting #5: cost 14 inf + 293 1554299932.450 * * [misc]simplify: Extracting #6: cost 0 inf + 2692 1554299932.450 * * [misc]simplify: Extracting #7: cost 0 inf + 2492 1554299932.451 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554299932.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299932.452 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299932.452 * * [misc]simplify: iters left: 6 (17 enodes) 1554299932.463 * * [misc]simplify: iters left: 5 (61 enodes) 1554299932.482 * * [misc]simplify: iters left: 4 (79 enodes) 1554299932.506 * * [misc]simplify: iters left: 3 (99 enodes) 1554299932.533 * * [misc]simplify: iters left: 2 (118 enodes) 1554299932.566 * * [misc]simplify: iters left: 1 (137 enodes) 1554299932.603 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.603 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299932.603 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299932.603 * * [misc]simplify: Extracting #3: cost 51 inf + 44 1554299932.604 * * [misc]simplify: Extracting #4: cost 44 inf + 1041 1554299932.605 * * [misc]simplify: Extracting #5: cost 13 inf + 11651 1554299932.608 * * [misc]simplify: Extracting #6: cost 1 inf + 18344 1554299932.611 * * [misc]simplify: Extracting #7: cost 0 inf + 19048 1554299932.614 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))) 1554299932.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) (* (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1554299932.614 * * * * [misc]progress: [ 246 / 621 ] simplifiying candidate # 1554299932.614 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1) 1554299932.614 * * [misc]simplify: iters left: 6 (14 enodes) 1554299932.618 * * [misc]simplify: iters left: 5 (47 enodes) 1554299932.626 * * [misc]simplify: iters left: 4 (57 enodes) 1554299932.635 * * [misc]simplify: iters left: 3 (62 enodes) 1554299932.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.643 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299932.643 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299932.643 * * [misc]simplify: Extracting #3: cost 14 inf + 2 1554299932.643 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554299932.643 * * [misc]simplify: Extracting #5: cost 17 inf + 47 1554299932.644 * * [misc]simplify: Extracting #6: cost 11 inf + 418 1554299932.644 * * [misc]simplify: Extracting #7: cost 2 inf + 1914 1554299932.644 * * [misc]simplify: Extracting #8: cost 0 inf + 2492 1554299932.645 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554299932.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299932.645 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299932.645 * * [misc]simplify: iters left: 6 (17 enodes) 1554299932.654 * * [misc]simplify: iters left: 5 (61 enodes) 1554299932.672 * * [misc]simplify: iters left: 4 (79 enodes) 1554299932.695 * * [misc]simplify: iters left: 3 (99 enodes) 1554299932.723 * * [misc]simplify: iters left: 2 (118 enodes) 1554299932.757 * * [misc]simplify: iters left: 1 (137 enodes) 1554299932.783 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.783 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299932.783 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299932.783 * * [misc]simplify: Extracting #3: cost 51 inf + 44 1554299932.784 * * [misc]simplify: Extracting #4: cost 44 inf + 1041 1554299932.785 * * [misc]simplify: Extracting #5: cost 13 inf + 11651 1554299932.787 * * [misc]simplify: Extracting #6: cost 1 inf + 18344 1554299932.790 * * [misc]simplify: Extracting #7: cost 0 inf + 19048 1554299932.793 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))) 1554299932.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1) (* (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1554299932.793 * * * * [misc]progress: [ 247 / 621 ] simplifiying candidate # 1554299932.794 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299932.794 * * [misc]simplify: iters left: 6 (15 enodes) 1554299932.798 * * [misc]simplify: iters left: 5 (52 enodes) 1554299932.808 * * [misc]simplify: iters left: 4 (64 enodes) 1554299932.827 * * [misc]simplify: iters left: 3 (68 enodes) 1554299932.846 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.846 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299932.846 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299932.846 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299932.846 * * [misc]simplify: Extracting #4: cost 25 inf + 86 1554299932.846 * * [misc]simplify: Extracting #5: cost 17 inf + 501 1554299932.847 * * [misc]simplify: Extracting #6: cost 5 inf + 2948 1554299932.848 * * [misc]simplify: Extracting #7: cost 0 inf + 4800 1554299932.851 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299932.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299932.852 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299932.852 * * [misc]simplify: iters left: 6 (16 enodes) 1554299932.859 * * [misc]simplify: iters left: 5 (58 enodes) 1554299932.868 * * [misc]simplify: iters left: 4 (72 enodes) 1554299932.879 * * [misc]simplify: iters left: 3 (83 enodes) 1554299932.898 * * [misc]simplify: iters left: 2 (108 enodes) 1554299932.928 * * [misc]simplify: iters left: 1 (123 enodes) 1554299932.959 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299932.959 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299932.959 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299932.960 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554299932.960 * * [misc]simplify: Extracting #4: cost 33 inf + 127 1554299932.960 * * [misc]simplify: Extracting #5: cost 20 inf + 1373 1554299932.962 * * [misc]simplify: Extracting #6: cost 2 inf + 9045 1554299932.965 * * [misc]simplify: Extracting #7: cost 0 inf + 9953 1554299932.968 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (sqrt PI)))) (pow 2 (- 1/2 (/ k 2)))) 1554299932.968 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) (* (/ (pow PI (/ (- k) 2)) (sqrt (/ 1 (sqrt PI)))) (pow 2 (- 1/2 (/ k 2)))))) 1554299932.968 * * * * [misc]progress: [ 248 / 621 ] simplifiying candidate # 1554299932.969 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299932.969 * * [misc]simplify: iters left: 6 (16 enodes) 1554299932.979 * * [misc]simplify: iters left: 5 (55 enodes) 1554299932.997 * * [misc]simplify: iters left: 4 (69 enodes) 1554299933.011 * * [misc]simplify: iters left: 3 (82 enodes) 1554299933.023 * * [misc]simplify: iters left: 2 (94 enodes) 1554299933.038 * * [misc]simplify: iters left: 1 (120 enodes) 1554299933.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.071 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299933.071 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299933.072 * * [misc]simplify: Extracting #3: cost 28 inf + 167 1554299933.072 * * [misc]simplify: Extracting #4: cost 32 inf + 250 1554299933.072 * * [misc]simplify: Extracting #5: cost 26 inf + 500 1554299933.072 * * [misc]simplify: Extracting #6: cost 16 inf + 2248 1554299933.073 * * [misc]simplify: Extracting #7: cost 6 inf + 5255 1554299933.074 * * [misc]simplify: Extracting #8: cost 1 inf + 7028 1554299933.076 * * [misc]simplify: Extracting #9: cost 0 inf + 7564 1554299933.077 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299933.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299933.077 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299933.078 * * [misc]simplify: iters left: 6 (14 enodes) 1554299933.083 * * [misc]simplify: iters left: 5 (49 enodes) 1554299933.091 * * [misc]simplify: iters left: 4 (61 enodes) 1554299933.100 * * [misc]simplify: iters left: 3 (65 enodes) 1554299933.110 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.110 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299933.110 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299933.110 * * [misc]simplify: Extracting #3: cost 25 inf + 2 1554299933.111 * * [misc]simplify: Extracting #4: cost 20 inf + 465 1554299933.111 * * [misc]simplify: Extracting #5: cost 9 inf + 2785 1554299933.111 * * [misc]simplify: Extracting #6: cost 0 inf + 6319 1554299933.112 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (sqrt (/ 1 (sqrt PI))))) 1554299933.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (sqrt (/ 1 (sqrt PI))))))) 1554299933.112 * * * * [misc]progress: [ 249 / 621 ] simplifiying candidate # 1554299933.113 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299933.113 * * [misc]simplify: iters left: 6 (18 enodes) 1554299933.117 * * [misc]simplify: iters left: 5 (60 enodes) 1554299933.128 * * [misc]simplify: iters left: 4 (70 enodes) 1554299933.148 * * [misc]simplify: iters left: 3 (84 enodes) 1554299933.171 * * [misc]simplify: iters left: 2 (96 enodes) 1554299933.189 * * [misc]simplify: iters left: 1 (124 enodes) 1554299933.215 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.216 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299933.216 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299933.216 * * [misc]simplify: Extracting #3: cost 29 inf + 208 1554299933.216 * * [misc]simplify: Extracting #4: cost 33 inf + 250 1554299933.217 * * [misc]simplify: Extracting #5: cost 26 inf + 583 1554299933.218 * * [misc]simplify: Extracting #6: cost 11 inf + 4314 1554299933.221 * * [misc]simplify: Extracting #7: cost 1 inf + 7484 1554299933.224 * * [misc]simplify: Extracting #8: cost 0 inf + 8020 1554299933.227 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt k)) 1554299933.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt k)) (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299933.227 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299933.228 * * [misc]simplify: iters left: 6 (14 enodes) 1554299933.235 * * [misc]simplify: iters left: 5 (49 enodes) 1554299933.250 * * [misc]simplify: iters left: 4 (61 enodes) 1554299933.267 * * [misc]simplify: iters left: 3 (65 enodes) 1554299933.276 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.276 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299933.277 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299933.277 * * [misc]simplify: Extracting #3: cost 25 inf + 2 1554299933.277 * * [misc]simplify: Extracting #4: cost 20 inf + 465 1554299933.277 * * [misc]simplify: Extracting #5: cost 9 inf + 2785 1554299933.278 * * [misc]simplify: Extracting #6: cost 0 inf + 6319 1554299933.278 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (sqrt (/ 1 (sqrt PI))))) 1554299933.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (* (pow PI (/ k 2)) (sqrt (/ 1 (sqrt PI))))))) 1554299933.278 * * * * [misc]progress: [ 250 / 621 ] simplifiying candidate # 1554299933.279 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299933.279 * * [misc]simplify: iters left: 6 (17 enodes) 1554299933.283 * * [misc]simplify: iters left: 5 (58 enodes) 1554299933.292 * * [misc]simplify: iters left: 4 (69 enodes) 1554299933.310 * * [misc]simplify: iters left: 3 (74 enodes) 1554299933.328 * * [misc]simplify: iters left: 2 (75 enodes) 1554299933.338 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.338 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299933.338 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299933.338 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299933.338 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1554299933.338 * * [misc]simplify: Extracting #5: cost 15 inf + 1085 1554299933.339 * * [misc]simplify: Extracting #6: cost 5 inf + 4474 1554299933.339 * * [misc]simplify: Extracting #7: cost 0 inf + 7616 1554299933.340 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554299933.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299933.341 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299933.341 * * [misc]simplify: iters left: 6 (17 enodes) 1554299933.345 * * [misc]simplify: iters left: 5 (61 enodes) 1554299933.355 * * [misc]simplify: iters left: 4 (76 enodes) 1554299933.368 * * [misc]simplify: iters left: 3 (92 enodes) 1554299933.382 * * [misc]simplify: iters left: 2 (100 enodes) 1554299933.400 * * [misc]simplify: iters left: 1 (112 enodes) 1554299933.430 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.430 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299933.430 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299933.430 * * [misc]simplify: Extracting #3: cost 28 inf + 127 1554299933.430 * * [misc]simplify: Extracting #4: cost 32 inf + 250 1554299933.430 * * [misc]simplify: Extracting #5: cost 21 inf + 1585 1554299933.431 * * [misc]simplify: Extracting #6: cost 8 inf + 6916 1554299933.433 * * [misc]simplify: Extracting #7: cost 0 inf + 11825 1554299933.434 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)) 1554299933.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)))) 1554299933.435 * * * * [misc]progress: [ 251 / 621 ] simplifiying candidate # 1554299933.435 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299933.435 * * [misc]simplify: iters left: 6 (16 enodes) 1554299933.439 * * [misc]simplify: iters left: 5 (53 enodes) 1554299933.448 * * [misc]simplify: iters left: 4 (60 enodes) 1554299933.458 * * [misc]simplify: iters left: 3 (63 enodes) 1554299933.471 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.471 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299933.471 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299933.471 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554299933.471 * * [misc]simplify: Extracting #4: cost 22 inf + 3 1554299933.472 * * [misc]simplify: Extracting #5: cost 8 inf + 1582 1554299933.472 * * [misc]simplify: Extracting #6: cost 3 inf + 3036 1554299933.473 * * [misc]simplify: Extracting #7: cost 1 inf + 4075 1554299933.474 * * [misc]simplify: Extracting #8: cost 0 inf + 4820 1554299933.475 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554299933.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299933.476 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299933.476 * * [misc]simplify: iters left: 6 (17 enodes) 1554299933.485 * * [misc]simplify: iters left: 5 (61 enodes) 1554299933.503 * * [misc]simplify: iters left: 4 (76 enodes) 1554299933.521 * * [misc]simplify: iters left: 3 (92 enodes) 1554299933.534 * * [misc]simplify: iters left: 2 (100 enodes) 1554299933.548 * * [misc]simplify: iters left: 1 (112 enodes) 1554299933.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299933.563 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299933.563 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299933.563 * * [misc]simplify: Extracting #3: cost 28 inf + 127 1554299933.563 * * [misc]simplify: Extracting #4: cost 32 inf + 250 1554299933.563 * * [misc]simplify: Extracting #5: cost 21 inf + 1585 1554299933.564 * * [misc]simplify: Extracting #6: cost 8 inf + 6716 1554299933.566 * * [misc]simplify: Extracting #7: cost 0 inf + 11345 1554299933.567 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)) 1554299933.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)))) 1554299933.567 * * * * [misc]progress: [ 252 / 621 ] simplifiying candidate # 1554299933.568 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299933.568 * * [misc]simplify: iters left: 6 (19 enodes) 1554299933.572 * * [misc]simplify: iters left: 5 (70 enodes) 1554299933.586 * * [misc]simplify: iters left: 4 (114 enodes) 1554299933.625 * * [misc]simplify: iters left: 3 (192 enodes) 1554299933.686 * * [misc]simplify: iters left: 2 (316 enodes) 1554299933.812 * * [misc]simplify: iters left: 1 (471 enodes) 1554299934.029 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299934.029 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299934.030 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299934.030 * * [misc]simplify: Extracting #3: cost 73 inf + 2 1554299934.030 * * [misc]simplify: Extracting #4: cost 73 inf + 46 1554299934.031 * * [misc]simplify: Extracting #5: cost 55 inf + 4117 1554299934.035 * * [misc]simplify: Extracting #6: cost 7 inf + 31533 1554299934.042 * * [misc]simplify: Extracting #7: cost 0 inf + 36485 1554299934.051 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1554299934.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299934.051 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299934.051 * * [misc]simplify: iters left: 6 (18 enodes) 1554299934.057 * * [misc]simplify: iters left: 5 (66 enodes) 1554299934.068 * * [misc]simplify: iters left: 4 (91 enodes) 1554299934.083 * * [misc]simplify: iters left: 3 (144 enodes) 1554299934.120 * * [misc]simplify: iters left: 2 (209 enodes) 1554299934.202 * * [misc]simplify: iters left: 1 (306 enodes) 1554299934.333 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299934.333 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299934.333 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299934.333 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299934.334 * * [misc]simplify: Extracting #4: cost 53 inf + 3598 1554299934.337 * * [misc]simplify: Extracting #5: cost 9 inf + 25761 1554299934.343 * * [misc]simplify: Extracting #6: cost 0 inf + 30916 1554299934.348 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299934.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299934.349 * * * * [misc]progress: [ 253 / 621 ] simplifiying candidate # 1554299934.349 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299934.349 * * [misc]simplify: iters left: 6 (18 enodes) 1554299934.354 * * [misc]simplify: iters left: 5 (63 enodes) 1554299934.365 * * [misc]simplify: iters left: 4 (86 enodes) 1554299934.391 * * [misc]simplify: iters left: 3 (126 enodes) 1554299934.432 * * [misc]simplify: iters left: 2 (169 enodes) 1554299934.485 * * [misc]simplify: iters left: 1 (214 enodes) 1554299934.557 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299934.557 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299934.557 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554299934.558 * * [misc]simplify: Extracting #3: cost 45 inf + 2 1554299934.558 * * [misc]simplify: Extracting #4: cost 45 inf + 46 1554299934.559 * * [misc]simplify: Extracting #5: cost 30 inf + 2941 1554299934.562 * * [misc]simplify: Extracting #6: cost 6 inf + 13508 1554299934.567 * * [misc]simplify: Extracting #7: cost 0 inf + 16772 1554299934.572 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299934.573 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299934.573 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299934.573 * * [misc]simplify: iters left: 6 (18 enodes) 1554299934.582 * * [misc]simplify: iters left: 5 (66 enodes) 1554299934.603 * * [misc]simplify: iters left: 4 (91 enodes) 1554299934.633 * * [misc]simplify: iters left: 3 (144 enodes) 1554299934.682 * * [misc]simplify: iters left: 2 (209 enodes) 1554299934.762 * * [misc]simplify: iters left: 1 (306 enodes) 1554299934.888 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299934.888 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299934.888 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299934.889 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299934.890 * * [misc]simplify: Extracting #4: cost 53 inf + 3518 1554299934.897 * * [misc]simplify: Extracting #5: cost 9 inf + 24681 1554299934.908 * * [misc]simplify: Extracting #6: cost 0 inf + 29636 1554299934.919 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299934.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299934.920 * * * * [misc]progress: [ 254 / 621 ] simplifiying candidate # 1554299934.920 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299934.920 * * [misc]simplify: iters left: 6 (14 enodes) 1554299934.927 * * [misc]simplify: iters left: 5 (48 enodes) 1554299934.944 * * [misc]simplify: iters left: 4 (73 enodes) 1554299934.969 * * [misc]simplify: iters left: 3 (102 enodes) 1554299934.990 * * [misc]simplify: iters left: 2 (126 enodes) 1554299935.010 * * [misc]simplify: iters left: 1 (149 enodes) 1554299935.063 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299935.063 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299935.064 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554299935.064 * * [misc]simplify: Extracting #3: cost 28 inf + 2 1554299935.064 * * [misc]simplify: Extracting #4: cost 29 inf + 45 1554299935.064 * * [misc]simplify: Extracting #5: cost 17 inf + 1265 1554299935.066 * * [misc]simplify: Extracting #6: cost 8 inf + 3451 1554299935.068 * * [misc]simplify: Extracting #7: cost 1 inf + 6471 1554299935.071 * * [misc]simplify: Extracting #8: cost 0 inf + 6925 1554299935.073 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299935.073 * [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))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299935.074 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299935.074 * * [misc]simplify: iters left: 6 (17 enodes) 1554299935.078 * * [misc]simplify: iters left: 5 (63 enodes) 1554299935.089 * * [misc]simplify: iters left: 4 (88 enodes) 1554299935.103 * * [misc]simplify: iters left: 3 (141 enodes) 1554299935.135 * * [misc]simplify: iters left: 2 (206 enodes) 1554299935.190 * * [misc]simplify: iters left: 1 (303 enodes) 1554299935.285 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299935.285 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299935.285 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299935.286 * * [misc]simplify: Extracting #3: cost 67 inf + 168 1554299935.287 * * [misc]simplify: Extracting #4: cost 51 inf + 4172 1554299935.295 * * [misc]simplify: Extracting #5: cost 6 inf + 24168 1554299935.305 * * [misc]simplify: Extracting #6: cost 0 inf + 28370 1554299935.314 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554299935.314 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554299935.314 * * * * [misc]progress: [ 255 / 621 ] simplifiying candidate # 1554299935.315 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299935.315 * * [misc]simplify: iters left: 6 (18 enodes) 1554299935.319 * * [misc]simplify: iters left: 5 (63 enodes) 1554299935.329 * * [misc]simplify: iters left: 4 (85 enodes) 1554299935.348 * * [misc]simplify: iters left: 3 (119 enodes) 1554299935.385 * * [misc]simplify: iters left: 2 (171 enodes) 1554299935.443 * * [misc]simplify: iters left: 1 (232 enodes) 1554299935.515 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299935.515 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299935.515 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554299935.516 * * [misc]simplify: Extracting #3: cost 50 inf + 2 1554299935.516 * * [misc]simplify: Extracting #4: cost 50 inf + 46 1554299935.516 * * [misc]simplify: Extracting #5: cost 29 inf + 6378 1554299935.519 * * [misc]simplify: Extracting #6: cost 2 inf + 19736 1554299935.523 * * [misc]simplify: Extracting #7: cost 0 inf + 21346 1554299935.527 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) 1554299935.528 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299935.528 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299935.528 * * [misc]simplify: iters left: 6 (18 enodes) 1554299935.537 * * [misc]simplify: iters left: 5 (66 enodes) 1554299935.560 * * [misc]simplify: iters left: 4 (91 enodes) 1554299935.591 * * [misc]simplify: iters left: 3 (144 enodes) 1554299935.640 * * [misc]simplify: iters left: 2 (209 enodes) 1554299935.720 * * [misc]simplify: iters left: 1 (306 enodes) 1554299935.874 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299935.874 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299935.875 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299935.876 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299935.877 * * [misc]simplify: Extracting #4: cost 53 inf + 3438 1554299935.884 * * [misc]simplify: Extracting #5: cost 9 inf + 24641 1554299935.895 * * [misc]simplify: Extracting #6: cost 0 inf + 29636 1554299935.906 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299935.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299935.907 * * * * [misc]progress: [ 256 / 621 ] simplifiying candidate # 1554299935.907 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299935.907 * * [misc]simplify: iters left: 6 (17 enodes) 1554299935.916 * * [misc]simplify: iters left: 5 (58 enodes) 1554299935.934 * * [misc]simplify: iters left: 4 (72 enodes) 1554299935.955 * * [misc]simplify: iters left: 3 (90 enodes) 1554299935.985 * * [misc]simplify: iters left: 2 (106 enodes) 1554299936.014 * * [misc]simplify: iters left: 1 (125 enodes) 1554299936.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299936.050 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299936.051 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299936.051 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299936.051 * * [misc]simplify: Extracting #4: cost 34 inf + 46 1554299936.051 * * [misc]simplify: Extracting #5: cost 26 inf + 791 1554299936.053 * * [misc]simplify: Extracting #6: cost 13 inf + 4931 1554299936.055 * * [misc]simplify: Extracting #7: cost 1 inf + 10081 1554299936.058 * * [misc]simplify: Extracting #8: cost 0 inf + 10706 1554299936.061 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1554299936.061 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299936.062 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299936.062 * * [misc]simplify: iters left: 6 (18 enodes) 1554299936.071 * * [misc]simplify: iters left: 5 (66 enodes) 1554299936.092 * * [misc]simplify: iters left: 4 (91 enodes) 1554299936.121 * * [misc]simplify: iters left: 3 (144 enodes) 1554299936.149 * * [misc]simplify: iters left: 2 (209 enodes) 1554299936.204 * * [misc]simplify: iters left: 1 (306 enodes) 1554299936.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299936.328 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299936.329 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299936.329 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299936.330 * * [misc]simplify: Extracting #4: cost 53 inf + 3358 1554299936.335 * * [misc]simplify: Extracting #5: cost 9 inf + 23561 1554299936.341 * * [misc]simplify: Extracting #6: cost 0 inf + 28356 1554299936.346 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299936.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299936.347 * * * * [misc]progress: [ 257 / 621 ] simplifiying candidate # 1554299936.347 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) 1)) 1554299936.347 * * [misc]simplify: iters left: 6 (13 enodes) 1554299936.351 * * [misc]simplify: iters left: 5 (43 enodes) 1554299936.358 * * [misc]simplify: iters left: 4 (54 enodes) 1554299936.367 * * [misc]simplify: iters left: 3 (69 enodes) 1554299936.377 * * [misc]simplify: iters left: 2 (80 enodes) 1554299936.387 * * [misc]simplify: iters left: 1 (90 enodes) 1554299936.408 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299936.408 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299936.408 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299936.408 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1554299936.408 * * [misc]simplify: Extracting #4: cost 18 inf + 248 1554299936.409 * * [misc]simplify: Extracting #5: cost 14 inf + 537 1554299936.410 * * [misc]simplify: Extracting #6: cost 2 inf + 3075 1554299936.411 * * [misc]simplify: Extracting #7: cost 0 inf + 3903 1554299936.412 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299936.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299936.413 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299936.413 * * [misc]simplify: iters left: 6 (17 enodes) 1554299936.421 * * [misc]simplify: iters left: 5 (63 enodes) 1554299936.441 * * [misc]simplify: iters left: 4 (88 enodes) 1554299936.457 * * [misc]simplify: iters left: 3 (141 enodes) 1554299936.485 * * [misc]simplify: iters left: 2 (206 enodes) 1554299936.565 * * [misc]simplify: iters left: 1 (303 enodes) 1554299936.682 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299936.682 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299936.682 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299936.682 * * [misc]simplify: Extracting #3: cost 67 inf + 168 1554299936.683 * * [misc]simplify: Extracting #4: cost 51 inf + 3932 1554299936.686 * * [misc]simplify: Extracting #5: cost 6 inf + 23088 1554299936.691 * * [misc]simplify: Extracting #6: cost 0 inf + 27090 1554299936.698 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299936.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554299936.698 * * * * [misc]progress: [ 258 / 621 ] simplifiying candidate # 1554299936.699 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299936.699 * * [misc]simplify: iters left: 6 (16 enodes) 1554299936.703 * * [misc]simplify: iters left: 5 (56 enodes) 1554299936.712 * * [misc]simplify: iters left: 4 (74 enodes) 1554299936.723 * * [misc]simplify: iters left: 3 (87 enodes) 1554299936.735 * * [misc]simplify: iters left: 2 (96 enodes) 1554299936.748 * * [misc]simplify: iters left: 1 (113 enodes) 1554299936.774 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299936.774 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299936.774 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299936.775 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299936.775 * * [misc]simplify: Extracting #4: cost 29 inf + 4 1554299936.775 * * [misc]simplify: Extracting #5: cost 24 inf + 214 1554299936.776 * * [misc]simplify: Extracting #6: cost 15 inf + 2289 1554299936.778 * * [misc]simplify: Extracting #7: cost 2 inf + 8847 1554299936.781 * * [misc]simplify: Extracting #8: cost 0 inf + 10046 1554299936.783 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (/ (- k) 2))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) 1554299936.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (/ (- k) 2))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299936.784 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299936.784 * * [misc]simplify: iters left: 6 (17 enodes) 1554299936.794 * * [misc]simplify: iters left: 5 (63 enodes) 1554299936.814 * * [misc]simplify: iters left: 4 (88 enodes) 1554299936.843 * * [misc]simplify: iters left: 3 (141 enodes) 1554299936.868 * * [misc]simplify: iters left: 2 (206 enodes) 1554299936.927 * * [misc]simplify: iters left: 1 (303 enodes) 1554299937.050 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299937.051 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299937.051 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299937.051 * * [misc]simplify: Extracting #3: cost 62 inf + 251 1554299937.052 * * [misc]simplify: Extracting #4: cost 53 inf + 2563 1554299937.054 * * [misc]simplify: Extracting #5: cost 27 inf + 13776 1554299937.059 * * [misc]simplify: Extracting #6: cost 3 inf + 26544 1554299937.064 * * [misc]simplify: Extracting #7: cost 0 inf + 27903 1554299937.069 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1554299937.070 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1554299937.070 * * * * [misc]progress: [ 259 / 621 ] simplifiying candidate # 1554299937.070 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299937.070 * * [misc]simplify: iters left: 6 (15 enodes) 1554299937.074 * * [misc]simplify: iters left: 5 (51 enodes) 1554299937.087 * * [misc]simplify: iters left: 4 (61 enodes) 1554299937.103 * * [misc]simplify: iters left: 3 (63 enodes) 1554299937.121 * * [misc]simplify: iters left: 2 (66 enodes) 1554299937.129 * * [misc]simplify: iters left: 1 (67 enodes) 1554299937.139 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299937.139 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299937.139 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299937.139 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299937.139 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299937.139 * * [misc]simplify: Extracting #5: cost 15 inf + 297 1554299937.139 * * [misc]simplify: Extracting #6: cost 6 inf + 2463 1554299937.140 * * [misc]simplify: Extracting #7: cost 0 inf + 5010 1554299937.140 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1554299937.140 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299937.141 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299937.141 * * [misc]simplify: iters left: 6 (17 enodes) 1554299937.145 * * [misc]simplify: iters left: 5 (63 enodes) 1554299937.162 * * [misc]simplify: iters left: 4 (88 enodes) 1554299937.188 * * [misc]simplify: iters left: 3 (141 enodes) 1554299937.213 * * [misc]simplify: iters left: 2 (206 enodes) 1554299937.268 * * [misc]simplify: iters left: 1 (303 enodes) 1554299937.414 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299937.414 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299937.415 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299937.415 * * [misc]simplify: Extracting #3: cost 62 inf + 251 1554299937.416 * * [misc]simplify: Extracting #4: cost 53 inf + 2563 1554299937.421 * * [misc]simplify: Extracting #5: cost 27 inf + 13376 1554299937.431 * * [misc]simplify: Extracting #6: cost 3 inf + 25384 1554299937.442 * * [misc]simplify: Extracting #7: cost 0 inf + 26623 1554299937.453 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1554299937.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1554299937.453 * * * * [misc]progress: [ 260 / 621 ] simplifiying candidate # 1554299937.453 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 1)) 1554299937.454 * * [misc]simplify: iters left: 6 (11 enodes) 1554299937.460 * * [misc]simplify: iters left: 5 (33 enodes) 1554299937.470 * * [misc]simplify: iters left: 4 (40 enodes) 1554299937.480 * * [misc]simplify: iters left: 3 (42 enodes) 1554299937.492 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299937.492 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299937.492 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554299937.492 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554299937.493 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554299937.493 * * [misc]simplify: Extracting #5: cost 3 inf + 418 1554299937.493 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299937.494 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299937.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299937.494 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299937.494 * * [misc]simplify: iters left: 6 (16 enodes) 1554299937.503 * * [misc]simplify: iters left: 5 (60 enodes) 1554299937.518 * * [misc]simplify: iters left: 4 (85 enodes) 1554299937.534 * * [misc]simplify: iters left: 3 (138 enodes) 1554299937.558 * * [misc]simplify: iters left: 2 (203 enodes) 1554299937.622 * * [misc]simplify: iters left: 1 (301 enodes) 1554299937.772 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299937.772 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299937.773 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299937.773 * * [misc]simplify: Extracting #3: cost 62 inf + 332 1554299937.775 * * [misc]simplify: Extracting #4: cost 39 inf + 7415 1554299937.780 * * [misc]simplify: Extracting #5: cost 1 inf + 25063 1554299937.785 * * [misc]simplify: Extracting #6: cost 0 inf + 25728 1554299937.790 * [exit]simplify: Simplified to (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))) 1554299937.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))))) 1554299937.790 * * * * [misc]progress: [ 261 / 621 ] simplifiying candidate # 1554299937.790 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) 1) 1554299937.791 * * [misc]simplify: iters left: 6 (10 enodes) 1554299937.793 * * [misc]simplify: iters left: 5 (30 enodes) 1554299937.798 * * [misc]simplify: iters left: 4 (39 enodes) 1554299937.804 * * [misc]simplify: iters left: 3 (41 enodes) 1554299937.809 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299937.809 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299937.809 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554299937.809 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554299937.810 * * [misc]simplify: Extracting #4: cost 9 inf + 46 1554299937.810 * * [misc]simplify: Extracting #5: cost 3 inf + 419 1554299937.810 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299937.810 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299937.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299937.810 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299937.810 * * [misc]simplify: iters left: 6 (16 enodes) 1554299937.814 * * [misc]simplify: iters left: 5 (60 enodes) 1554299937.824 * * [misc]simplify: iters left: 4 (85 enodes) 1554299937.845 * * [misc]simplify: iters left: 3 (138 enodes) 1554299937.869 * * [misc]simplify: iters left: 2 (203 enodes) 1554299937.943 * * [misc]simplify: iters left: 1 (301 enodes) 1554299938.061 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.061 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299938.062 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299938.063 * * [misc]simplify: Extracting #3: cost 62 inf + 332 1554299938.065 * * [misc]simplify: Extracting #4: cost 39 inf + 7415 1554299938.073 * * [misc]simplify: Extracting #5: cost 1 inf + 25063 1554299938.083 * * [misc]simplify: Extracting #6: cost 0 inf + 25728 1554299938.092 * [exit]simplify: Simplified to (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))) 1554299938.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))))) 1554299938.092 * * * * [misc]progress: [ 262 / 621 ] simplifiying candidate # 1554299938.093 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt k)) 1554299938.093 * * [misc]simplify: iters left: 6 (11 enodes) 1554299938.099 * * [misc]simplify: iters left: 5 (37 enodes) 1554299938.111 * * [misc]simplify: iters left: 4 (46 enodes) 1554299938.123 * * [misc]simplify: iters left: 3 (51 enodes) 1554299938.130 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.130 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299938.130 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299938.130 * * [misc]simplify: Extracting #3: cost 9 inf + 85 1554299938.130 * * [misc]simplify: Extracting #4: cost 12 inf + 86 1554299938.130 * * [misc]simplify: Extracting #5: cost 10 inf + 210 1554299938.131 * * [misc]simplify: Extracting #6: cost 5 inf + 500 1554299938.131 * * [misc]simplify: Extracting #7: cost 0 inf + 1919 1554299938.131 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299938.131 * [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))) (/ 1 (pow PI (- (/ k 2))))))) 1554299938.131 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299938.132 * * [misc]simplify: iters left: 6 (15 enodes) 1554299938.136 * * [misc]simplify: iters left: 5 (57 enodes) 1554299938.148 * * [misc]simplify: iters left: 4 (73 enodes) 1554299938.160 * * [misc]simplify: iters left: 3 (91 enodes) 1554299938.176 * * [misc]simplify: iters left: 2 (114 enodes) 1554299938.204 * * [misc]simplify: iters left: 1 (129 enodes) 1554299938.221 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.221 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299938.221 * * [misc]simplify: Extracting #2: cost 29 inf + 1 1554299938.222 * * [misc]simplify: Extracting #3: cost 28 inf + 127 1554299938.222 * * [misc]simplify: Extracting #4: cost 29 inf + 250 1554299938.222 * * [misc]simplify: Extracting #5: cost 15 inf + 2705 1554299938.223 * * [misc]simplify: Extracting #6: cost 1 inf + 8648 1554299938.225 * * [misc]simplify: Extracting #7: cost 0 inf + 9063 1554299938.226 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))) 1554299938.226 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (pow PI (/ (- k) 2)) (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))))) 1554299938.226 * * * * [misc]progress: [ 263 / 621 ] simplifiying candidate # 1554299938.226 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt k) 1)) 1554299938.226 * * [misc]simplify: iters left: 6 (12 enodes) 1554299938.231 * * [misc]simplify: iters left: 5 (40 enodes) 1554299938.245 * * [misc]simplify: iters left: 4 (51 enodes) 1554299938.263 * * [misc]simplify: iters left: 3 (66 enodes) 1554299938.281 * * [misc]simplify: iters left: 2 (77 enodes) 1554299938.300 * * [misc]simplify: iters left: 1 (87 enodes) 1554299938.326 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.326 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299938.326 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299938.326 * * [misc]simplify: Extracting #3: cost 17 inf + 3 1554299938.327 * * [misc]simplify: Extracting #4: cost 19 inf + 45 1554299938.327 * * [misc]simplify: Extracting #5: cost 12 inf + 500 1554299938.327 * * [misc]simplify: Extracting #6: cost 3 inf + 2379 1554299938.329 * * [misc]simplify: Extracting #7: cost 1 inf + 3127 1554299938.330 * * [misc]simplify: Extracting #8: cost 0 inf + 3501 1554299938.331 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299938.331 * [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))) (pow PI (/ k 2))))) 1554299938.332 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299938.332 * * [misc]simplify: iters left: 6 (13 enodes) 1554299938.339 * * [misc]simplify: iters left: 5 (48 enodes) 1554299938.352 * * [misc]simplify: iters left: 4 (65 enodes) 1554299938.363 * * [misc]simplify: iters left: 3 (83 enodes) 1554299938.377 * * [misc]simplify: iters left: 2 (91 enodes) 1554299938.390 * * [misc]simplify: iters left: 1 (102 enodes) 1554299938.404 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.404 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299938.404 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299938.404 * * [misc]simplify: Extracting #3: cost 26 inf + 86 1554299938.404 * * [misc]simplify: Extracting #4: cost 18 inf + 1420 1554299938.405 * * [misc]simplify: Extracting #5: cost 3 inf + 7092 1554299938.406 * * [misc]simplify: Extracting #6: cost 0 inf + 8011 1554299938.407 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)) 1554299938.407 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)))) 1554299938.407 * * * * [misc]progress: [ 264 / 621 ] simplifiying candidate # 1554299938.407 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI 0))) 1554299938.408 * * [misc]simplify: iters left: 6 (15 enodes) 1554299938.413 * * [misc]simplify: iters left: 5 (48 enodes) 1554299938.420 * * [misc]simplify: iters left: 4 (55 enodes) 1554299938.436 * * [misc]simplify: iters left: 3 (69 enodes) 1554299938.446 * * [misc]simplify: iters left: 2 (77 enodes) 1554299938.456 * * [misc]simplify: iters left: 1 (84 enodes) 1554299938.474 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.474 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299938.474 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299938.474 * * [misc]simplify: Extracting #3: cost 16 inf + 44 1554299938.474 * * [misc]simplify: Extracting #4: cost 16 inf + 250 1554299938.475 * * [misc]simplify: Extracting #5: cost 11 inf + 541 1554299938.475 * * [misc]simplify: Extracting #6: cost 6 inf + 1415 1554299938.476 * * [misc]simplify: Extracting #7: cost 1 inf + 3166 1554299938.478 * * [misc]simplify: Extracting #8: cost 0 inf + 3501 1554299938.479 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299938.479 * [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))) (pow PI (/ k 2))))) 1554299938.479 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299938.480 * * [misc]simplify: iters left: 6 (13 enodes) 1554299938.487 * * [misc]simplify: iters left: 5 (48 enodes) 1554299938.502 * * [misc]simplify: iters left: 4 (65 enodes) 1554299938.522 * * [misc]simplify: iters left: 3 (83 enodes) 1554299938.538 * * [misc]simplify: iters left: 2 (91 enodes) 1554299938.550 * * [misc]simplify: iters left: 1 (102 enodes) 1554299938.567 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.568 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299938.568 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299938.568 * * [misc]simplify: Extracting #3: cost 26 inf + 86 1554299938.568 * * [misc]simplify: Extracting #4: cost 18 inf + 1420 1554299938.570 * * [misc]simplify: Extracting #5: cost 3 inf + 7092 1554299938.572 * * [misc]simplify: Extracting #6: cost 0 inf + 8011 1554299938.576 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)) 1554299938.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)))) 1554299938.577 * * * * [misc]progress: [ 265 / 621 ] simplifiying candidate # 1554299938.577 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299938.577 * * [misc]simplify: iters left: 6 (17 enodes) 1554299938.586 * * [misc]simplify: iters left: 5 (58 enodes) 1554299938.604 * * [misc]simplify: iters left: 4 (69 enodes) 1554299938.624 * * [misc]simplify: iters left: 3 (74 enodes) 1554299938.643 * * [misc]simplify: iters left: 2 (75 enodes) 1554299938.658 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.658 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299938.658 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299938.658 * * [misc]simplify: Extracting #3: cost 19 inf + 2 1554299938.658 * * [misc]simplify: Extracting #4: cost 26 inf + 3 1554299938.658 * * [misc]simplify: Extracting #5: cost 15 inf + 1085 1554299938.658 * * [misc]simplify: Extracting #6: cost 5 inf + 4474 1554299938.659 * * [misc]simplify: Extracting #7: cost 0 inf + 7616 1554299938.660 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554299938.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299938.660 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299938.661 * * [misc]simplify: iters left: 6 (17 enodes) 1554299938.665 * * [misc]simplify: iters left: 5 (61 enodes) 1554299938.675 * * [misc]simplify: iters left: 4 (76 enodes) 1554299938.687 * * [misc]simplify: iters left: 3 (92 enodes) 1554299938.702 * * [misc]simplify: iters left: 2 (100 enodes) 1554299938.716 * * [misc]simplify: iters left: 1 (112 enodes) 1554299938.731 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.731 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299938.731 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299938.732 * * [misc]simplify: Extracting #3: cost 28 inf + 127 1554299938.732 * * [misc]simplify: Extracting #4: cost 32 inf + 250 1554299938.732 * * [misc]simplify: Extracting #5: cost 21 inf + 1585 1554299938.733 * * [misc]simplify: Extracting #6: cost 8 inf + 6916 1554299938.734 * * [misc]simplify: Extracting #7: cost 0 inf + 11825 1554299938.736 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)) 1554299938.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)))) 1554299938.736 * * * * [misc]progress: [ 266 / 621 ] simplifiying candidate # 1554299938.736 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299938.736 * * [misc]simplify: iters left: 6 (16 enodes) 1554299938.741 * * [misc]simplify: iters left: 5 (53 enodes) 1554299938.749 * * [misc]simplify: iters left: 4 (60 enodes) 1554299938.767 * * [misc]simplify: iters left: 3 (63 enodes) 1554299938.784 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.784 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299938.784 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299938.784 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554299938.784 * * [misc]simplify: Extracting #4: cost 22 inf + 3 1554299938.785 * * [misc]simplify: Extracting #5: cost 8 inf + 1582 1554299938.785 * * [misc]simplify: Extracting #6: cost 3 inf + 3036 1554299938.786 * * [misc]simplify: Extracting #7: cost 1 inf + 4075 1554299938.787 * * [misc]simplify: Extracting #8: cost 0 inf + 4820 1554299938.788 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554299938.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299938.789 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299938.789 * * [misc]simplify: iters left: 6 (17 enodes) 1554299938.798 * * [misc]simplify: iters left: 5 (61 enodes) 1554299938.812 * * [misc]simplify: iters left: 4 (76 enodes) 1554299938.824 * * [misc]simplify: iters left: 3 (92 enodes) 1554299938.836 * * [misc]simplify: iters left: 2 (100 enodes) 1554299938.862 * * [misc]simplify: iters left: 1 (112 enodes) 1554299938.892 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299938.892 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299938.892 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299938.892 * * [misc]simplify: Extracting #3: cost 28 inf + 127 1554299938.893 * * [misc]simplify: Extracting #4: cost 32 inf + 250 1554299938.893 * * [misc]simplify: Extracting #5: cost 21 inf + 1585 1554299938.895 * * [misc]simplify: Extracting #6: cost 8 inf + 6716 1554299938.898 * * [misc]simplify: Extracting #7: cost 0 inf + 11345 1554299938.901 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)) 1554299938.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt PI)))) 1554299938.902 * * * * [misc]progress: [ 267 / 621 ] simplifiying candidate # 1554299938.902 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299938.902 * * [misc]simplify: iters left: 6 (19 enodes) 1554299938.911 * * [misc]simplify: iters left: 5 (70 enodes) 1554299938.937 * * [misc]simplify: iters left: 4 (114 enodes) 1554299938.958 * * [misc]simplify: iters left: 3 (192 enodes) 1554299939.017 * * [misc]simplify: iters left: 2 (316 enodes) 1554299939.111 * * [misc]simplify: iters left: 1 (471 enodes) 1554299939.377 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299939.377 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299939.377 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299939.378 * * [misc]simplify: Extracting #3: cost 73 inf + 2 1554299939.378 * * [misc]simplify: Extracting #4: cost 73 inf + 46 1554299939.379 * * [misc]simplify: Extracting #5: cost 55 inf + 4117 1554299939.383 * * [misc]simplify: Extracting #6: cost 7 inf + 31533 1554299939.389 * * [misc]simplify: Extracting #7: cost 0 inf + 36485 1554299939.396 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1554299939.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299939.397 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299939.397 * * [misc]simplify: iters left: 6 (18 enodes) 1554299939.401 * * [misc]simplify: iters left: 5 (66 enodes) 1554299939.413 * * [misc]simplify: iters left: 4 (91 enodes) 1554299939.432 * * [misc]simplify: iters left: 3 (144 enodes) 1554299939.461 * * [misc]simplify: iters left: 2 (209 enodes) 1554299939.538 * * [misc]simplify: iters left: 1 (306 enodes) 1554299939.657 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299939.657 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299939.658 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299939.658 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299939.660 * * [misc]simplify: Extracting #4: cost 53 inf + 3598 1554299939.669 * * [misc]simplify: Extracting #5: cost 9 inf + 25761 1554299939.676 * * [misc]simplify: Extracting #6: cost 0 inf + 30916 1554299939.682 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299939.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299939.682 * * * * [misc]progress: [ 268 / 621 ] simplifiying candidate # 1554299939.682 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299939.682 * * [misc]simplify: iters left: 6 (18 enodes) 1554299939.687 * * [misc]simplify: iters left: 5 (63 enodes) 1554299939.696 * * [misc]simplify: iters left: 4 (86 enodes) 1554299939.711 * * [misc]simplify: iters left: 3 (126 enodes) 1554299939.752 * * [misc]simplify: iters left: 2 (169 enodes) 1554299939.809 * * [misc]simplify: iters left: 1 (214 enodes) 1554299939.881 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299939.881 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299939.881 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554299939.881 * * [misc]simplify: Extracting #3: cost 45 inf + 2 1554299939.882 * * [misc]simplify: Extracting #4: cost 45 inf + 46 1554299939.882 * * [misc]simplify: Extracting #5: cost 30 inf + 2941 1554299939.886 * * [misc]simplify: Extracting #6: cost 6 inf + 13508 1554299939.891 * * [misc]simplify: Extracting #7: cost 0 inf + 16772 1554299939.896 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299939.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299939.897 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299939.897 * * [misc]simplify: iters left: 6 (18 enodes) 1554299939.907 * * [misc]simplify: iters left: 5 (66 enodes) 1554299939.926 * * [misc]simplify: iters left: 4 (91 enodes) 1554299939.941 * * [misc]simplify: iters left: 3 (144 enodes) 1554299939.969 * * [misc]simplify: iters left: 2 (209 enodes) 1554299940.030 * * [misc]simplify: iters left: 1 (306 enodes) 1554299940.117 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299940.117 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299940.118 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299940.118 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299940.119 * * [misc]simplify: Extracting #4: cost 53 inf + 3518 1554299940.124 * * [misc]simplify: Extracting #5: cost 9 inf + 24681 1554299940.132 * * [misc]simplify: Extracting #6: cost 0 inf + 29636 1554299940.137 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299940.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299940.137 * * * * [misc]progress: [ 269 / 621 ] simplifiying candidate # 1554299940.138 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299940.138 * * [misc]simplify: iters left: 6 (14 enodes) 1554299940.142 * * [misc]simplify: iters left: 5 (48 enodes) 1554299940.151 * * [misc]simplify: iters left: 4 (73 enodes) 1554299940.166 * * [misc]simplify: iters left: 3 (102 enodes) 1554299940.183 * * [misc]simplify: iters left: 2 (126 enodes) 1554299940.201 * * [misc]simplify: iters left: 1 (149 enodes) 1554299940.242 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299940.242 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299940.242 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554299940.243 * * [misc]simplify: Extracting #3: cost 28 inf + 2 1554299940.245 * * [misc]simplify: Extracting #4: cost 29 inf + 45 1554299940.246 * * [misc]simplify: Extracting #5: cost 17 inf + 1265 1554299940.247 * * [misc]simplify: Extracting #6: cost 8 inf + 3451 1554299940.249 * * [misc]simplify: Extracting #7: cost 1 inf + 6471 1554299940.252 * * [misc]simplify: Extracting #8: cost 0 inf + 6925 1554299940.255 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299940.255 * [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))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299940.256 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299940.256 * * [misc]simplify: iters left: 6 (17 enodes) 1554299940.261 * * [misc]simplify: iters left: 5 (63 enodes) 1554299940.271 * * [misc]simplify: iters left: 4 (88 enodes) 1554299940.285 * * [misc]simplify: iters left: 3 (141 enodes) 1554299940.329 * * [misc]simplify: iters left: 2 (206 enodes) 1554299940.400 * * [misc]simplify: iters left: 1 (303 enodes) 1554299940.519 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299940.519 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299940.519 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299940.519 * * [misc]simplify: Extracting #3: cost 67 inf + 168 1554299940.520 * * [misc]simplify: Extracting #4: cost 51 inf + 4172 1554299940.523 * * [misc]simplify: Extracting #5: cost 6 inf + 24168 1554299940.529 * * [misc]simplify: Extracting #6: cost 0 inf + 28370 1554299940.534 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1554299940.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1554299940.534 * * * * [misc]progress: [ 270 / 621 ] simplifiying candidate # 1554299940.534 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299940.534 * * [misc]simplify: iters left: 6 (18 enodes) 1554299940.541 * * [misc]simplify: iters left: 5 (63 enodes) 1554299940.560 * * [misc]simplify: iters left: 4 (85 enodes) 1554299940.580 * * [misc]simplify: iters left: 3 (119 enodes) 1554299940.599 * * [misc]simplify: iters left: 2 (171 enodes) 1554299940.655 * * [misc]simplify: iters left: 1 (232 enodes) 1554299940.723 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299940.723 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299940.723 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554299940.724 * * [misc]simplify: Extracting #3: cost 50 inf + 2 1554299940.724 * * [misc]simplify: Extracting #4: cost 50 inf + 46 1554299940.725 * * [misc]simplify: Extracting #5: cost 29 inf + 6378 1554299940.728 * * [misc]simplify: Extracting #6: cost 2 inf + 19736 1554299940.731 * * [misc]simplify: Extracting #7: cost 0 inf + 21346 1554299940.735 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) 1554299940.735 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299940.735 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299940.735 * * [misc]simplify: iters left: 6 (18 enodes) 1554299940.741 * * [misc]simplify: iters left: 5 (66 enodes) 1554299940.751 * * [misc]simplify: iters left: 4 (91 enodes) 1554299940.778 * * [misc]simplify: iters left: 3 (144 enodes) 1554299940.802 * * [misc]simplify: iters left: 2 (209 enodes) 1554299940.852 * * [misc]simplify: iters left: 1 (306 enodes) 1554299940.962 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299940.962 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299940.963 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299940.963 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299940.964 * * [misc]simplify: Extracting #4: cost 53 inf + 3438 1554299940.967 * * [misc]simplify: Extracting #5: cost 9 inf + 24641 1554299940.972 * * [misc]simplify: Extracting #6: cost 0 inf + 29636 1554299940.979 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299940.979 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (sqrt k)))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299940.979 * * * * [misc]progress: [ 271 / 621 ] simplifiying candidate # 1554299940.979 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299940.980 * * [misc]simplify: iters left: 6 (17 enodes) 1554299940.988 * * [misc]simplify: iters left: 5 (58 enodes) 1554299941.006 * * [misc]simplify: iters left: 4 (72 enodes) 1554299941.031 * * [misc]simplify: iters left: 3 (90 enodes) 1554299941.056 * * [misc]simplify: iters left: 2 (106 enodes) 1554299941.084 * * [misc]simplify: iters left: 1 (125 enodes) 1554299941.120 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299941.120 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299941.120 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299941.121 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299941.121 * * [misc]simplify: Extracting #4: cost 34 inf + 46 1554299941.121 * * [misc]simplify: Extracting #5: cost 26 inf + 791 1554299941.122 * * [misc]simplify: Extracting #6: cost 13 inf + 4931 1554299941.125 * * [misc]simplify: Extracting #7: cost 1 inf + 10081 1554299941.128 * * [misc]simplify: Extracting #8: cost 0 inf + 10706 1554299941.131 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1554299941.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299941.132 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299941.132 * * [misc]simplify: iters left: 6 (18 enodes) 1554299941.137 * * [misc]simplify: iters left: 5 (66 enodes) 1554299941.148 * * [misc]simplify: iters left: 4 (91 enodes) 1554299941.163 * * [misc]simplify: iters left: 3 (144 enodes) 1554299941.210 * * [misc]simplify: iters left: 2 (209 enodes) 1554299941.272 * * [misc]simplify: iters left: 1 (306 enodes) 1554299941.397 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299941.397 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299941.397 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299941.397 * * [misc]simplify: Extracting #3: cost 68 inf + 127 1554299941.398 * * [misc]simplify: Extracting #4: cost 53 inf + 3358 1554299941.401 * * [misc]simplify: Extracting #5: cost 9 inf + 23561 1554299941.407 * * [misc]simplify: Extracting #6: cost 0 inf + 28356 1554299941.413 * [exit]simplify: Simplified to (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299941.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (* (sqrt PI) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299941.413 * * * * [misc]progress: [ 272 / 621 ] simplifiying candidate # 1554299941.414 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) 1)) 1554299941.414 * * [misc]simplify: iters left: 6 (13 enodes) 1554299941.417 * * [misc]simplify: iters left: 5 (43 enodes) 1554299941.424 * * [misc]simplify: iters left: 4 (54 enodes) 1554299941.440 * * [misc]simplify: iters left: 3 (69 enodes) 1554299941.459 * * [misc]simplify: iters left: 2 (80 enodes) 1554299941.469 * * [misc]simplify: iters left: 1 (90 enodes) 1554299941.483 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299941.483 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299941.483 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299941.483 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1554299941.483 * * [misc]simplify: Extracting #4: cost 18 inf + 248 1554299941.483 * * [misc]simplify: Extracting #5: cost 14 inf + 537 1554299941.484 * * [misc]simplify: Extracting #6: cost 2 inf + 3075 1554299941.484 * * [misc]simplify: Extracting #7: cost 0 inf + 3903 1554299941.486 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554299941.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299941.486 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299941.486 * * [misc]simplify: iters left: 6 (17 enodes) 1554299941.495 * * [misc]simplify: iters left: 5 (63 enodes) 1554299941.514 * * [misc]simplify: iters left: 4 (88 enodes) 1554299941.541 * * [misc]simplify: iters left: 3 (141 enodes) 1554299941.576 * * [misc]simplify: iters left: 2 (206 enodes) 1554299941.653 * * [misc]simplify: iters left: 1 (303 enodes) 1554299941.750 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299941.751 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299941.751 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299941.752 * * [misc]simplify: Extracting #3: cost 67 inf + 168 1554299941.753 * * [misc]simplify: Extracting #4: cost 51 inf + 3932 1554299941.761 * * [misc]simplify: Extracting #5: cost 6 inf + 23088 1554299941.771 * * [misc]simplify: Extracting #6: cost 0 inf + 27090 1554299941.781 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1554299941.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (sqrt PI)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1554299941.782 * * * * [misc]progress: [ 273 / 621 ] simplifiying candidate # 1554299941.782 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299941.782 * * [misc]simplify: iters left: 6 (16 enodes) 1554299941.790 * * [misc]simplify: iters left: 5 (56 enodes) 1554299941.806 * * [misc]simplify: iters left: 4 (74 enodes) 1554299941.826 * * [misc]simplify: iters left: 3 (87 enodes) 1554299941.843 * * [misc]simplify: iters left: 2 (96 enodes) 1554299941.855 * * [misc]simplify: iters left: 1 (113 enodes) 1554299941.875 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299941.875 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299941.875 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299941.875 * * [misc]simplify: Extracting #3: cost 26 inf + 2 1554299941.875 * * [misc]simplify: Extracting #4: cost 29 inf + 4 1554299941.875 * * [misc]simplify: Extracting #5: cost 24 inf + 214 1554299941.875 * * [misc]simplify: Extracting #6: cost 15 inf + 2289 1554299941.876 * * [misc]simplify: Extracting #7: cost 2 inf + 8847 1554299941.878 * * [misc]simplify: Extracting #8: cost 0 inf + 10046 1554299941.879 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (/ (- k) 2))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) 1554299941.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (/ (- k) 2))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299941.879 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299941.879 * * [misc]simplify: iters left: 6 (17 enodes) 1554299941.884 * * [misc]simplify: iters left: 5 (63 enodes) 1554299941.900 * * [misc]simplify: iters left: 4 (88 enodes) 1554299941.928 * * [misc]simplify: iters left: 3 (141 enodes) 1554299941.976 * * [misc]simplify: iters left: 2 (206 enodes) 1554299942.019 * * [misc]simplify: iters left: 1 (303 enodes) 1554299942.094 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299942.094 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299942.094 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299942.095 * * [misc]simplify: Extracting #3: cost 62 inf + 251 1554299942.095 * * [misc]simplify: Extracting #4: cost 53 inf + 2563 1554299942.098 * * [misc]simplify: Extracting #5: cost 27 inf + 13776 1554299942.102 * * [misc]simplify: Extracting #6: cost 3 inf + 26544 1554299942.110 * * [misc]simplify: Extracting #7: cost 0 inf + 27903 1554299942.120 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1554299942.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (cbrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1554299942.121 * * * * [misc]progress: [ 274 / 621 ] simplifiying candidate # 1554299942.121 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299942.121 * * [misc]simplify: iters left: 6 (15 enodes) 1554299942.129 * * [misc]simplify: iters left: 5 (51 enodes) 1554299942.145 * * [misc]simplify: iters left: 4 (61 enodes) 1554299942.161 * * [misc]simplify: iters left: 3 (63 enodes) 1554299942.178 * * [misc]simplify: iters left: 2 (66 enodes) 1554299942.195 * * [misc]simplify: iters left: 1 (67 enodes) 1554299942.212 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299942.212 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299942.212 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554299942.212 * * [misc]simplify: Extracting #3: cost 18 inf + 2 1554299942.212 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554299942.212 * * [misc]simplify: Extracting #5: cost 15 inf + 297 1554299942.213 * * [misc]simplify: Extracting #6: cost 6 inf + 2463 1554299942.214 * * [misc]simplify: Extracting #7: cost 0 inf + 5010 1554299942.215 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1554299942.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299942.215 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299942.215 * * [misc]simplify: iters left: 6 (17 enodes) 1554299942.223 * * [misc]simplify: iters left: 5 (63 enodes) 1554299942.240 * * [misc]simplify: iters left: 4 (88 enodes) 1554299942.256 * * [misc]simplify: iters left: 3 (141 enodes) 1554299942.303 * * [misc]simplify: iters left: 2 (206 enodes) 1554299942.379 * * [misc]simplify: iters left: 1 (303 enodes) 1554299942.471 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299942.471 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299942.471 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299942.472 * * [misc]simplify: Extracting #3: cost 62 inf + 251 1554299942.473 * * [misc]simplify: Extracting #4: cost 53 inf + 2563 1554299942.475 * * [misc]simplify: Extracting #5: cost 27 inf + 13376 1554299942.480 * * [misc]simplify: Extracting #6: cost 3 inf + 25384 1554299942.485 * * [misc]simplify: Extracting #7: cost 0 inf + 26623 1554299942.496 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1554299942.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt (pow PI (- (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1554299942.497 * * * * [misc]progress: [ 275 / 621 ] simplifiying candidate # 1554299942.497 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ 1 1)) 1554299942.497 * * [misc]simplify: iters left: 6 (11 enodes) 1554299942.503 * * [misc]simplify: iters left: 5 (33 enodes) 1554299942.508 * * [misc]simplify: iters left: 4 (40 enodes) 1554299942.513 * * [misc]simplify: iters left: 3 (42 enodes) 1554299942.519 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299942.519 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299942.519 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554299942.519 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554299942.519 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554299942.519 * * [misc]simplify: Extracting #5: cost 3 inf + 418 1554299942.519 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299942.519 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299942.519 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299942.520 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299942.520 * * [misc]simplify: iters left: 6 (16 enodes) 1554299942.524 * * [misc]simplify: iters left: 5 (60 enodes) 1554299942.537 * * [misc]simplify: iters left: 4 (85 enodes) 1554299942.564 * * [misc]simplify: iters left: 3 (138 enodes) 1554299942.610 * * [misc]simplify: iters left: 2 (203 enodes) 1554299942.689 * * [misc]simplify: iters left: 1 (301 enodes) 1554299942.802 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299942.802 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299942.803 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299942.803 * * [misc]simplify: Extracting #3: cost 62 inf + 332 1554299942.806 * * [misc]simplify: Extracting #4: cost 39 inf + 7415 1554299942.814 * * [misc]simplify: Extracting #5: cost 1 inf + 25063 1554299942.824 * * [misc]simplify: Extracting #6: cost 0 inf + 25728 1554299942.834 * [exit]simplify: Simplified to (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))) 1554299942.834 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))))) 1554299942.834 * * * * [misc]progress: [ 276 / 621 ] simplifiying candidate # 1554299942.835 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) 1) 1554299942.835 * * [misc]simplify: iters left: 6 (10 enodes) 1554299942.840 * * [misc]simplify: iters left: 5 (30 enodes) 1554299942.850 * * [misc]simplify: iters left: 4 (39 enodes) 1554299942.861 * * [misc]simplify: iters left: 3 (41 enodes) 1554299942.872 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299942.872 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299942.872 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554299942.872 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554299942.872 * * [misc]simplify: Extracting #4: cost 9 inf + 46 1554299942.873 * * [misc]simplify: Extracting #5: cost 3 inf + 419 1554299942.873 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554299942.873 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554299942.873 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299942.874 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299942.874 * * [misc]simplify: iters left: 6 (16 enodes) 1554299942.885 * * [misc]simplify: iters left: 5 (60 enodes) 1554299942.894 * * [misc]simplify: iters left: 4 (85 enodes) 1554299942.908 * * [misc]simplify: iters left: 3 (138 enodes) 1554299942.932 * * [misc]simplify: iters left: 2 (203 enodes) 1554299942.985 * * [misc]simplify: iters left: 1 (301 enodes) 1554299943.092 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.092 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299943.092 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299943.092 * * [misc]simplify: Extracting #3: cost 62 inf + 332 1554299943.093 * * [misc]simplify: Extracting #4: cost 39 inf + 7415 1554299943.097 * * [misc]simplify: Extracting #5: cost 1 inf + 25063 1554299943.104 * * [misc]simplify: Extracting #6: cost 0 inf + 25728 1554299943.114 * [exit]simplify: Simplified to (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))) 1554299943.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (pow PI (/ (- k) 2))))) 1554299943.114 * * * * [misc]progress: [ 277 / 621 ] simplifiying candidate # 1554299943.115 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt k)) 1554299943.115 * * [misc]simplify: iters left: 6 (11 enodes) 1554299943.121 * * [misc]simplify: iters left: 5 (37 enodes) 1554299943.133 * * [misc]simplify: iters left: 4 (46 enodes) 1554299943.147 * * [misc]simplify: iters left: 3 (51 enodes) 1554299943.161 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.161 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299943.161 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299943.161 * * [misc]simplify: Extracting #3: cost 9 inf + 85 1554299943.161 * * [misc]simplify: Extracting #4: cost 12 inf + 86 1554299943.161 * * [misc]simplify: Extracting #5: cost 10 inf + 210 1554299943.162 * * [misc]simplify: Extracting #6: cost 5 inf + 500 1554299943.162 * * [misc]simplify: Extracting #7: cost 0 inf + 1919 1554299943.162 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299943.162 * [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))) (/ 1 (pow PI (- (/ k 2))))))) 1554299943.162 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299943.163 * * [misc]simplify: iters left: 6 (15 enodes) 1554299943.167 * * [misc]simplify: iters left: 5 (57 enodes) 1554299943.176 * * [misc]simplify: iters left: 4 (73 enodes) 1554299943.188 * * [misc]simplify: iters left: 3 (91 enodes) 1554299943.213 * * [misc]simplify: iters left: 2 (114 enodes) 1554299943.249 * * [misc]simplify: iters left: 1 (129 enodes) 1554299943.286 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.286 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299943.286 * * [misc]simplify: Extracting #2: cost 29 inf + 1 1554299943.286 * * [misc]simplify: Extracting #3: cost 28 inf + 127 1554299943.286 * * [misc]simplify: Extracting #4: cost 29 inf + 250 1554299943.286 * * [misc]simplify: Extracting #5: cost 15 inf + 2705 1554299943.287 * * [misc]simplify: Extracting #6: cost 1 inf + 8648 1554299943.289 * * [misc]simplify: Extracting #7: cost 0 inf + 9063 1554299943.290 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))) 1554299943.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (pow PI (/ (- k) 2)) (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))))) 1554299943.290 * * * * [misc]progress: [ 278 / 621 ] simplifiying candidate # 1554299943.291 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt k) 1)) 1554299943.291 * * [misc]simplify: iters left: 6 (12 enodes) 1554299943.294 * * [misc]simplify: iters left: 5 (40 enodes) 1554299943.300 * * [misc]simplify: iters left: 4 (51 enodes) 1554299943.309 * * [misc]simplify: iters left: 3 (66 enodes) 1554299943.318 * * [misc]simplify: iters left: 2 (77 enodes) 1554299943.337 * * [misc]simplify: iters left: 1 (87 enodes) 1554299943.356 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.356 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299943.356 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299943.356 * * [misc]simplify: Extracting #3: cost 17 inf + 3 1554299943.356 * * [misc]simplify: Extracting #4: cost 19 inf + 45 1554299943.357 * * [misc]simplify: Extracting #5: cost 12 inf + 500 1554299943.357 * * [misc]simplify: Extracting #6: cost 3 inf + 2379 1554299943.357 * * [misc]simplify: Extracting #7: cost 1 inf + 3127 1554299943.358 * * [misc]simplify: Extracting #8: cost 0 inf + 3501 1554299943.359 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299943.359 * [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))) (pow PI (/ k 2))))) 1554299943.359 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299943.359 * * [misc]simplify: iters left: 6 (13 enodes) 1554299943.363 * * [misc]simplify: iters left: 5 (48 enodes) 1554299943.372 * * [misc]simplify: iters left: 4 (65 enodes) 1554299943.382 * * [misc]simplify: iters left: 3 (83 enodes) 1554299943.394 * * [misc]simplify: iters left: 2 (91 enodes) 1554299943.418 * * [misc]simplify: iters left: 1 (102 enodes) 1554299943.431 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.431 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299943.431 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299943.431 * * [misc]simplify: Extracting #3: cost 26 inf + 86 1554299943.431 * * [misc]simplify: Extracting #4: cost 18 inf + 1420 1554299943.432 * * [misc]simplify: Extracting #5: cost 3 inf + 7092 1554299943.433 * * [misc]simplify: Extracting #6: cost 0 inf + 8011 1554299943.434 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)) 1554299943.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)))) 1554299943.434 * * * * [misc]progress: [ 279 / 621 ] simplifiying candidate # 1554299943.435 * [enter]simplify: Simplifying (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI 0))) 1554299943.435 * * [misc]simplify: iters left: 6 (15 enodes) 1554299943.439 * * [misc]simplify: iters left: 5 (48 enodes) 1554299943.446 * * [misc]simplify: iters left: 4 (55 enodes) 1554299943.454 * * [misc]simplify: iters left: 3 (69 enodes) 1554299943.467 * * [misc]simplify: iters left: 2 (77 enodes) 1554299943.487 * * [misc]simplify: iters left: 1 (84 enodes) 1554299943.508 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.508 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299943.508 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554299943.508 * * [misc]simplify: Extracting #3: cost 16 inf + 44 1554299943.508 * * [misc]simplify: Extracting #4: cost 16 inf + 250 1554299943.508 * * [misc]simplify: Extracting #5: cost 11 inf + 541 1554299943.509 * * [misc]simplify: Extracting #6: cost 6 inf + 1415 1554299943.509 * * [misc]simplify: Extracting #7: cost 1 inf + 3166 1554299943.510 * * [misc]simplify: Extracting #8: cost 0 inf + 3501 1554299943.510 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) 1554299943.511 * [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))) (pow PI (/ k 2))))) 1554299943.511 * [enter]simplify: Simplifying (/ (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299943.511 * * [misc]simplify: iters left: 6 (13 enodes) 1554299943.515 * * [misc]simplify: iters left: 5 (48 enodes) 1554299943.522 * * [misc]simplify: iters left: 4 (65 enodes) 1554299943.532 * * [misc]simplify: iters left: 3 (83 enodes) 1554299943.546 * * [misc]simplify: iters left: 2 (91 enodes) 1554299943.574 * * [misc]simplify: iters left: 1 (102 enodes) 1554299943.602 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.602 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299943.602 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299943.602 * * [misc]simplify: Extracting #3: cost 26 inf + 86 1554299943.603 * * [misc]simplify: Extracting #4: cost 18 inf + 1420 1554299943.604 * * [misc]simplify: Extracting #5: cost 3 inf + 7092 1554299943.606 * * [misc]simplify: Extracting #6: cost 0 inf + 8011 1554299943.607 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)) 1554299943.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow 2 (- 1/2 (/ k 2))) (pow PI (/ k 2))) (sqrt PI)))) 1554299943.607 * * * * [misc]progress: [ 280 / 621 ] simplifiying candidate # 1554299943.607 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299943.607 * * [misc]simplify: iters left: 6 (24 enodes) 1554299943.613 * * [misc]simplify: iters left: 5 (89 enodes) 1554299943.627 * * [misc]simplify: iters left: 4 (138 enodes) 1554299943.650 * * [misc]simplify: iters left: 3 (231 enodes) 1554299943.709 * * [misc]simplify: iters left: 2 (368 enodes) 1554299943.832 * * [misc]simplify: iters left: 1 (429 enodes) 1554299943.960 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299943.960 * * [misc]simplify: Extracting #1: cost 35 inf + 0 1554299943.961 * * [misc]simplify: Extracting #2: cost 71 inf + 0 1554299943.961 * * [misc]simplify: Extracting #3: cost 80 inf + 0 1554299943.962 * * [misc]simplify: Extracting #4: cost 91 inf + 1 1554299943.963 * * [misc]simplify: Extracting #5: cost 86 inf + 170 1554299943.964 * * [misc]simplify: Extracting #6: cost 69 inf + 3466 1554299943.967 * * [misc]simplify: Extracting #7: cost 51 inf + 11405 1554299943.972 * * [misc]simplify: Extracting #8: cost 38 inf + 21727 1554299943.992 * * [misc]simplify: Extracting #9: cost 4 inf + 55116 1554299944.016 * * [misc]simplify: Extracting #10: cost 0 inf + 59058 1554299944.039 * * [misc]simplify: Extracting #11: cost 0 inf + 58978 1554299944.063 * [exit]simplify: Simplified to (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554299944.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299944.063 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299944.064 * * [misc]simplify: iters left: 6 (21 enodes) 1554299944.073 * * [misc]simplify: iters left: 5 (72 enodes) 1554299944.085 * * [misc]simplify: iters left: 4 (82 enodes) 1554299944.096 * * [misc]simplify: iters left: 3 (84 enodes) 1554299944.108 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299944.108 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299944.108 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299944.108 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299944.108 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299944.108 * * [misc]simplify: Extracting #5: cost 29 inf + 456 1554299944.108 * * [misc]simplify: Extracting #6: cost 14 inf + 3238 1554299944.109 * * [misc]simplify: Extracting #7: cost 8 inf + 5298 1554299944.110 * * [misc]simplify: Extracting #8: cost 3 inf + 8789 1554299944.111 * * [misc]simplify: Extracting #9: cost 0 inf + 11374 1554299944.112 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299944.112 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299944.112 * * * * [misc]progress: [ 281 / 621 ] simplifiying candidate # 1554299944.112 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299944.112 * * [misc]simplify: iters left: 6 (23 enodes) 1554299944.122 * * [misc]simplify: iters left: 5 (84 enodes) 1554299944.146 * * [misc]simplify: iters left: 4 (120 enodes) 1554299944.164 * * [misc]simplify: iters left: 3 (165 enodes) 1554299944.208 * * [misc]simplify: iters left: 2 (211 enodes) 1554299944.273 * * [misc]simplify: iters left: 1 (229 enodes) 1554299944.328 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299944.328 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299944.328 * * [misc]simplify: Extracting #2: cost 47 inf + 0 1554299944.328 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299944.328 * * [misc]simplify: Extracting #4: cost 67 inf + 1 1554299944.328 * * [misc]simplify: Extracting #5: cost 58 inf + 657 1554299944.329 * * [misc]simplify: Extracting #6: cost 45 inf + 3295 1554299944.330 * * [misc]simplify: Extracting #7: cost 26 inf + 12061 1554299944.333 * * [misc]simplify: Extracting #8: cost 10 inf + 25973 1554299944.338 * * [misc]simplify: Extracting #9: cost 0 inf + 34834 1554299944.344 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554299944.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299944.344 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299944.344 * * [misc]simplify: iters left: 6 (21 enodes) 1554299944.349 * * [misc]simplify: iters left: 5 (72 enodes) 1554299944.364 * * [misc]simplify: iters left: 4 (82 enodes) 1554299944.386 * * [misc]simplify: iters left: 3 (84 enodes) 1554299944.408 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299944.408 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299944.408 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299944.408 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299944.408 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299944.409 * * [misc]simplify: Extracting #5: cost 29 inf + 456 1554299944.409 * * [misc]simplify: Extracting #6: cost 14 inf + 3238 1554299944.410 * * [misc]simplify: Extracting #7: cost 8 inf + 5298 1554299944.412 * * [misc]simplify: Extracting #8: cost 3 inf + 8589 1554299944.414 * * [misc]simplify: Extracting #9: cost 0 inf + 11054 1554299944.417 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299944.417 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299944.417 * * * * [misc]progress: [ 282 / 621 ] simplifiying candidate # 1554299944.417 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299944.418 * * [misc]simplify: iters left: 6 (26 enodes) 1554299944.432 * * [misc]simplify: iters left: 5 (101 enodes) 1554299944.452 * * [misc]simplify: iters left: 4 (185 enodes) 1554299944.498 * * [misc]simplify: iters left: 3 (484 enodes) 1554299944.805 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299944.805 * * [misc]simplify: Extracting #1: cost 164 inf + 0 1554299944.810 * * [misc]simplify: Extracting #2: cost 380 inf + 0 1554299944.812 * * [misc]simplify: Extracting #3: cost 392 inf + 0 1554299944.814 * * [misc]simplify: Extracting #4: cost 392 inf + 411 1554299944.818 * * [misc]simplify: Extracting #5: cost 342 inf + 24188 1554299944.833 * * [misc]simplify: Extracting #6: cost 237 inf + 108785 1554299944.883 * * [misc]simplify: Extracting #7: cost 59 inf + 286869 1554299944.991 * * [misc]simplify: Extracting #8: cost 3 inf + 346184 1554299945.049 * * [misc]simplify: Extracting #9: cost 0 inf + 349261 1554299945.106 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2)))))) 1554299945.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299945.106 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299945.106 * * [misc]simplify: iters left: 6 (22 enodes) 1554299945.111 * * [misc]simplify: iters left: 5 (77 enodes) 1554299945.127 * * [misc]simplify: iters left: 4 (95 enodes) 1554299945.157 * * [misc]simplify: iters left: 3 (115 enodes) 1554299945.188 * * [misc]simplify: iters left: 2 (134 enodes) 1554299945.206 * * [misc]simplify: iters left: 1 (153 enodes) 1554299945.235 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299945.235 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299945.236 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299945.236 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299945.236 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299945.237 * * [misc]simplify: Extracting #5: cost 52 inf + 697 1554299945.238 * * [misc]simplify: Extracting #6: cost 41 inf + 1721 1554299945.239 * * [misc]simplify: Extracting #7: cost 35 inf + 3460 1554299945.243 * * [misc]simplify: Extracting #8: cost 4 inf + 23888 1554299945.249 * * [misc]simplify: Extracting #9: cost 0 inf + 27610 1554299945.256 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299945.256 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299945.256 * * * * [misc]progress: [ 283 / 621 ] simplifiying candidate # 1554299945.256 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299945.257 * * [misc]simplify: iters left: 6 (25 enodes) 1554299945.268 * * [misc]simplify: iters left: 5 (94 enodes) 1554299945.288 * * [misc]simplify: iters left: 4 (155 enodes) 1554299945.325 * * [misc]simplify: iters left: 3 (346 enodes) 1554299945.515 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299945.516 * * [misc]simplify: Extracting #1: cost 115 inf + 0 1554299945.517 * * [misc]simplify: Extracting #2: cost 222 inf + 0 1554299945.520 * * [misc]simplify: Extracting #3: cost 233 inf + 0 1554299945.522 * * [misc]simplify: Extracting #4: cost 236 inf + 206 1554299945.524 * * [misc]simplify: Extracting #5: cost 218 inf + 3122 1554299945.533 * * [misc]simplify: Extracting #6: cost 160 inf + 37278 1554299945.577 * * [misc]simplify: Extracting #7: cost 26 inf + 157463 1554299945.636 * * [misc]simplify: Extracting #8: cost 0 inf + 181036 1554299945.681 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) (sqrt (pow PI (- (/ k 2))))) 1554299945.681 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) (sqrt (pow PI (- (/ k 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299945.681 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299945.681 * * [misc]simplify: iters left: 6 (22 enodes) 1554299945.687 * * [misc]simplify: iters left: 5 (77 enodes) 1554299945.707 * * [misc]simplify: iters left: 4 (95 enodes) 1554299945.734 * * [misc]simplify: iters left: 3 (115 enodes) 1554299945.765 * * [misc]simplify: iters left: 2 (134 enodes) 1554299945.800 * * [misc]simplify: iters left: 1 (153 enodes) 1554299945.844 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299945.845 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299945.845 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299945.845 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299945.845 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299945.846 * * [misc]simplify: Extracting #5: cost 52 inf + 697 1554299945.847 * * [misc]simplify: Extracting #6: cost 41 inf + 1721 1554299945.848 * * [misc]simplify: Extracting #7: cost 35 inf + 3460 1554299945.852 * * [misc]simplify: Extracting #8: cost 4 inf + 23128 1554299945.858 * * [misc]simplify: Extracting #9: cost 0 inf + 26730 1554299945.865 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299945.865 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299945.865 * * * * [misc]progress: [ 284 / 621 ] simplifiying candidate # 1554299945.866 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299945.866 * * [misc]simplify: iters left: 6 (22 enodes) 1554299945.877 * * [misc]simplify: iters left: 5 (82 enodes) 1554299945.895 * * [misc]simplify: iters left: 4 (139 enodes) 1554299945.925 * * [misc]simplify: iters left: 3 (286 enodes) 1554299946.087 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299946.087 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1554299946.087 * * [misc]simplify: Extracting #2: cost 129 inf + 1 1554299946.088 * * [misc]simplify: Extracting #3: cost 137 inf + 1 1554299946.088 * * [misc]simplify: Extracting #4: cost 145 inf + 2 1554299946.089 * * [misc]simplify: Extracting #5: cost 119 inf + 6664 1554299946.097 * * [misc]simplify: Extracting #6: cost 31 inf + 57735 1554299946.111 * * [misc]simplify: Extracting #7: cost 0 inf + 77952 1554299946.123 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) 1554299946.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299946.124 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299946.124 * * [misc]simplify: iters left: 6 (21 enodes) 1554299946.129 * * [misc]simplify: iters left: 5 (74 enodes) 1554299946.141 * * [misc]simplify: iters left: 4 (92 enodes) 1554299946.157 * * [misc]simplify: iters left: 3 (112 enodes) 1554299946.172 * * [misc]simplify: iters left: 2 (131 enodes) 1554299946.189 * * [misc]simplify: iters left: 1 (150 enodes) 1554299946.227 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299946.227 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299946.227 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299946.227 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299946.228 * * [misc]simplify: Extracting #4: cost 56 inf + 289 1554299946.228 * * [misc]simplify: Extracting #5: cost 41 inf + 1877 1554299946.230 * * [misc]simplify: Extracting #6: cost 26 inf + 7316 1554299946.234 * * [misc]simplify: Extracting #7: cost 5 inf + 21208 1554299946.240 * * [misc]simplify: Extracting #8: cost 0 inf + 24944 1554299946.246 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299946.246 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299946.246 * * * * [misc]progress: [ 285 / 621 ] simplifiying candidate # 1554299946.247 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299946.247 * * [misc]simplify: iters left: 6 (25 enodes) 1554299946.258 * * [misc]simplify: iters left: 5 (94 enodes) 1554299946.279 * * [misc]simplify: iters left: 4 (152 enodes) 1554299946.312 * * [misc]simplify: iters left: 3 (311 enodes) 1554299946.448 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299946.448 * * [misc]simplify: Extracting #1: cost 96 inf + 0 1554299946.449 * * [misc]simplify: Extracting #2: cost 201 inf + 0 1554299946.449 * * [misc]simplify: Extracting #3: cost 212 inf + 0 1554299946.450 * * [misc]simplify: Extracting #4: cost 210 inf + 855 1554299946.451 * * [misc]simplify: Extracting #5: cost 196 inf + 2695 1554299946.454 * * [misc]simplify: Extracting #6: cost 165 inf + 21191 1554299946.480 * * [misc]simplify: Extracting #7: cost 33 inf + 136853 1554299946.510 * * [misc]simplify: Extracting #8: cost 0 inf + 169281 1554299946.543 * * [misc]simplify: Extracting #9: cost 0 inf + 169201 1554299946.583 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (sqrt k)))) 1554299946.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299946.584 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299946.584 * * [misc]simplify: iters left: 6 (22 enodes) 1554299946.595 * * [misc]simplify: iters left: 5 (77 enodes) 1554299946.617 * * [misc]simplify: iters left: 4 (95 enodes) 1554299946.631 * * [misc]simplify: iters left: 3 (115 enodes) 1554299946.648 * * [misc]simplify: iters left: 2 (134 enodes) 1554299946.673 * * [misc]simplify: iters left: 1 (153 enodes) 1554299946.715 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299946.715 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299946.715 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299946.715 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299946.716 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299946.716 * * [misc]simplify: Extracting #5: cost 52 inf + 617 1554299946.717 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299946.718 * * [misc]simplify: Extracting #7: cost 35 inf + 3300 1554299946.722 * * [misc]simplify: Extracting #8: cost 4 inf + 23048 1554299946.728 * * [misc]simplify: Extracting #9: cost 0 inf + 26650 1554299946.735 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299946.735 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299946.736 * * * * [misc]progress: [ 286 / 621 ] simplifiying candidate # 1554299946.736 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299946.736 * * [misc]simplify: iters left: 6 (24 enodes) 1554299946.748 * * [misc]simplify: iters left: 5 (89 enodes) 1554299946.777 * * [misc]simplify: iters left: 4 (139 enodes) 1554299946.822 * * [misc]simplify: iters left: 3 (252 enodes) 1554299946.942 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299946.942 * * [misc]simplify: Extracting #1: cost 68 inf + 0 1554299946.943 * * [misc]simplify: Extracting #2: cost 123 inf + 0 1554299946.943 * * [misc]simplify: Extracting #3: cost 134 inf + 0 1554299946.945 * * [misc]simplify: Extracting #4: cost 139 inf + 44 1554299946.946 * * [misc]simplify: Extracting #5: cost 117 inf + 3253 1554299946.952 * * [misc]simplify: Extracting #6: cost 74 inf + 27533 1554299946.959 * * [misc]simplify: Extracting #7: cost 49 inf + 45901 1554299946.972 * * [misc]simplify: Extracting #8: cost 3 inf + 88178 1554299946.992 * * [misc]simplify: Extracting #9: cost 0 inf + 91336 1554299947.023 * [exit]simplify: Simplified to (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) 1554299947.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299947.024 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299947.024 * * [misc]simplify: iters left: 6 (22 enodes) 1554299947.034 * * [misc]simplify: iters left: 5 (77 enodes) 1554299947.047 * * [misc]simplify: iters left: 4 (95 enodes) 1554299947.060 * * [misc]simplify: iters left: 3 (115 enodes) 1554299947.085 * * [misc]simplify: iters left: 2 (134 enodes) 1554299947.119 * * [misc]simplify: iters left: 1 (153 enodes) 1554299947.154 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299947.154 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299947.154 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299947.154 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299947.154 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299947.155 * * [misc]simplify: Extracting #5: cost 52 inf + 617 1554299947.155 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299947.155 * * [misc]simplify: Extracting #7: cost 35 inf + 3300 1554299947.157 * * [misc]simplify: Extracting #8: cost 4 inf + 22288 1554299947.161 * * [misc]simplify: Extracting #9: cost 0 inf + 25770 1554299947.164 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299947.164 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299947.164 * * * * [misc]progress: [ 287 / 621 ] simplifiying candidate # 1554299947.164 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299947.164 * * [misc]simplify: iters left: 6 (21 enodes) 1554299947.169 * * [misc]simplify: iters left: 5 (77 enodes) 1554299947.190 * * [misc]simplify: iters left: 4 (117 enodes) 1554299947.212 * * [misc]simplify: iters left: 3 (189 enodes) 1554299947.269 * * [misc]simplify: iters left: 2 (297 enodes) 1554299947.429 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299947.430 * * [misc]simplify: Extracting #1: cost 46 inf + 0 1554299947.430 * * [misc]simplify: Extracting #2: cost 89 inf + 1 1554299947.431 * * [misc]simplify: Extracting #3: cost 96 inf + 1 1554299947.432 * * [misc]simplify: Extracting #4: cost 104 inf + 2 1554299947.433 * * [misc]simplify: Extracting #5: cost 79 inf + 5461 1554299947.447 * * [misc]simplify: Extracting #6: cost 11 inf + 42387 1554299947.465 * * [misc]simplify: Extracting #7: cost 0 inf + 49161 1554299947.484 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) 1554299947.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299947.484 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299947.485 * * [misc]simplify: iters left: 6 (21 enodes) 1554299947.494 * * [misc]simplify: iters left: 5 (74 enodes) 1554299947.516 * * [misc]simplify: iters left: 4 (92 enodes) 1554299947.542 * * [misc]simplify: iters left: 3 (112 enodes) 1554299947.575 * * [misc]simplify: iters left: 2 (131 enodes) 1554299947.595 * * [misc]simplify: iters left: 1 (150 enodes) 1554299947.620 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299947.620 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299947.620 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299947.620 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299947.621 * * [misc]simplify: Extracting #4: cost 56 inf + 249 1554299947.621 * * [misc]simplify: Extracting #5: cost 41 inf + 1717 1554299947.623 * * [misc]simplify: Extracting #6: cost 26 inf + 6956 1554299947.627 * * [misc]simplify: Extracting #7: cost 5 inf + 20368 1554299947.633 * * [misc]simplify: Extracting #8: cost 0 inf + 23984 1554299947.639 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299947.639 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299947.640 * * * * [misc]progress: [ 288 / 621 ] simplifiying candidate # 1554299947.640 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299947.640 * * [misc]simplify: iters left: 6 (23 enodes) 1554299947.648 * * [misc]simplify: iters left: 5 (88 enodes) 1554299947.662 * * [misc]simplify: iters left: 4 (142 enodes) 1554299947.696 * * [misc]simplify: iters left: 3 (271 enodes) 1554299947.796 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299947.796 * * [misc]simplify: Extracting #1: cost 67 inf + 0 1554299947.796 * * [misc]simplify: Extracting #2: cost 140 inf + 1 1554299947.797 * * [misc]simplify: Extracting #3: cost 148 inf + 1 1554299947.798 * * [misc]simplify: Extracting #4: cost 149 inf + 935 1554299947.798 * * [misc]simplify: Extracting #5: cost 147 inf + 1021 1554299947.799 * * [misc]simplify: Extracting #6: cost 140 inf + 1979 1554299947.801 * * [misc]simplify: Extracting #7: cost 117 inf + 12303 1554299947.806 * * [misc]simplify: Extracting #8: cost 87 inf + 36127 1554299947.837 * * [misc]simplify: Extracting #9: cost 15 inf + 100493 1554299947.858 * * [misc]simplify: Extracting #10: cost 0 inf + 113395 1554299947.884 * [exit]simplify: Simplified to (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (pow PI (/ (- k) 2)))) 1554299947.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (pow PI (/ (- k) 2)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299947.885 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299947.885 * * [misc]simplify: iters left: 6 (21 enodes) 1554299947.890 * * [misc]simplify: iters left: 5 (74 enodes) 1554299947.901 * * [misc]simplify: iters left: 4 (92 enodes) 1554299947.918 * * [misc]simplify: iters left: 3 (112 enodes) 1554299947.938 * * [misc]simplify: iters left: 2 (131 enodes) 1554299947.956 * * [misc]simplify: iters left: 1 (150 enodes) 1554299947.982 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299947.982 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299947.982 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299947.983 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299947.983 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299947.983 * * [misc]simplify: Extracting #5: cost 48 inf + 1185 1554299947.983 * * [misc]simplify: Extracting #6: cost 39 inf + 2307 1554299947.984 * * [misc]simplify: Extracting #7: cost 26 inf + 8517 1554299947.986 * * [misc]simplify: Extracting #8: cost 10 inf + 18345 1554299947.989 * * [misc]simplify: Extracting #9: cost 0 inf + 25288 1554299947.992 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299947.992 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299947.992 * * * * [misc]progress: [ 289 / 621 ] simplifiying candidate # 1554299947.992 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299947.992 * * [misc]simplify: iters left: 6 (22 enodes) 1554299947.998 * * [misc]simplify: iters left: 5 (83 enodes) 1554299948.024 * * [misc]simplify: iters left: 4 (129 enodes) 1554299948.047 * * [misc]simplify: iters left: 3 (211 enodes) 1554299948.133 * * [misc]simplify: iters left: 2 (374 enodes) 1554299948.326 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299948.326 * * [misc]simplify: Extracting #1: cost 35 inf + 0 1554299948.327 * * [misc]simplify: Extracting #2: cost 87 inf + 1 1554299948.328 * * [misc]simplify: Extracting #3: cost 95 inf + 1 1554299948.328 * * [misc]simplify: Extracting #4: cost 97 inf + 733 1554299948.329 * * [misc]simplify: Extracting #5: cost 94 inf + 1021 1554299948.331 * * [misc]simplify: Extracting #6: cost 85 inf + 3462 1554299948.335 * * [misc]simplify: Extracting #7: cost 50 inf + 20881 1554299948.345 * * [misc]simplify: Extracting #8: cost 27 inf + 36797 1554299948.363 * * [misc]simplify: Extracting #9: cost 3 inf + 57969 1554299948.382 * * [misc]simplify: Extracting #10: cost 0 inf + 60354 1554299948.402 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ (- k) 2))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))))) 1554299948.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (/ (- k) 2))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299948.403 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299948.403 * * [misc]simplify: iters left: 6 (21 enodes) 1554299948.409 * * [misc]simplify: iters left: 5 (74 enodes) 1554299948.420 * * [misc]simplify: iters left: 4 (92 enodes) 1554299948.436 * * [misc]simplify: iters left: 3 (112 enodes) 1554299948.462 * * [misc]simplify: iters left: 2 (131 enodes) 1554299948.481 * * [misc]simplify: iters left: 1 (150 enodes) 1554299948.506 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299948.507 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299948.507 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299948.507 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299948.507 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299948.508 * * [misc]simplify: Extracting #5: cost 48 inf + 1185 1554299948.509 * * [misc]simplify: Extracting #6: cost 39 inf + 2307 1554299948.510 * * [misc]simplify: Extracting #7: cost 26 inf + 8517 1554299948.514 * * [misc]simplify: Extracting #8: cost 10 inf + 17865 1554299948.519 * * [misc]simplify: Extracting #9: cost 0 inf + 24408 1554299948.525 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299948.525 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299948.526 * * * * [misc]progress: [ 290 / 621 ] simplifiying candidate # 1554299948.526 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299948.526 * * [misc]simplify: iters left: 6 (19 enodes) 1554299948.536 * * [misc]simplify: iters left: 5 (69 enodes) 1554299948.560 * * [misc]simplify: iters left: 4 (98 enodes) 1554299948.590 * * [misc]simplify: iters left: 3 (122 enodes) 1554299948.614 * * [misc]simplify: iters left: 2 (149 enodes) 1554299948.644 * * [misc]simplify: iters left: 1 (158 enodes) 1554299948.664 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299948.665 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299948.665 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554299948.665 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299948.665 * * [misc]simplify: Extracting #4: cost 38 inf + 1 1554299948.665 * * [misc]simplify: Extracting #5: cost 38 inf + 5 1554299948.665 * * [misc]simplify: Extracting #6: cost 32 inf + 297 1554299948.666 * * [misc]simplify: Extracting #7: cost 21 inf + 2405 1554299948.666 * * [misc]simplify: Extracting #8: cost 9 inf + 7871 1554299948.668 * * [misc]simplify: Extracting #9: cost 0 inf + 12586 1554299948.670 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299948.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299948.671 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299948.671 * * [misc]simplify: iters left: 6 (20 enodes) 1554299948.678 * * [misc]simplify: iters left: 5 (71 enodes) 1554299948.697 * * [misc]simplify: iters left: 4 (89 enodes) 1554299948.710 * * [misc]simplify: iters left: 3 (109 enodes) 1554299948.726 * * [misc]simplify: iters left: 2 (128 enodes) 1554299948.755 * * [misc]simplify: iters left: 1 (147 enodes) 1554299948.776 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299948.776 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299948.776 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299948.776 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299948.777 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299948.777 * * [misc]simplify: Extracting #5: cost 44 inf + 868 1554299948.777 * * [misc]simplify: Extracting #6: cost 29 inf + 5601 1554299948.779 * * [misc]simplify: Extracting #7: cost 3 inf + 20845 1554299948.783 * * [misc]simplify: Extracting #8: cost 0 inf + 22942 1554299948.789 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299948.789 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299948.789 * * * * [misc]progress: [ 291 / 621 ] simplifiying candidate # 1554299948.790 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) 1554299948.790 * * [misc]simplify: iters left: 6 (18 enodes) 1554299948.796 * * [misc]simplify: iters left: 5 (66 enodes) 1554299948.808 * * [misc]simplify: iters left: 4 (102 enodes) 1554299948.824 * * [misc]simplify: iters left: 3 (129 enodes) 1554299948.859 * * [misc]simplify: iters left: 2 (150 enodes) 1554299948.892 * * [misc]simplify: iters left: 1 (153 enodes) 1554299948.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299948.908 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299948.908 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554299948.908 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299948.908 * * [misc]simplify: Extracting #4: cost 38 inf + 1 1554299948.908 * * [misc]simplify: Extracting #5: cost 36 inf + 128 1554299948.909 * * [misc]simplify: Extracting #6: cost 27 inf + 945 1554299948.909 * * [misc]simplify: Extracting #7: cost 14 inf + 4810 1554299948.911 * * [misc]simplify: Extracting #8: cost 2 inf + 11314 1554299948.913 * * [misc]simplify: Extracting #9: cost 0 inf + 12586 1554299948.915 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554299948.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299948.915 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299948.915 * * [misc]simplify: iters left: 6 (20 enodes) 1554299948.921 * * [misc]simplify: iters left: 5 (71 enodes) 1554299948.932 * * [misc]simplify: iters left: 4 (89 enodes) 1554299948.947 * * [misc]simplify: iters left: 3 (109 enodes) 1554299948.969 * * [misc]simplify: iters left: 2 (128 enodes) 1554299948.992 * * [misc]simplify: iters left: 1 (147 enodes) 1554299949.016 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299949.016 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299949.016 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299949.017 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299949.017 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299949.018 * * [misc]simplify: Extracting #5: cost 44 inf + 868 1554299949.019 * * [misc]simplify: Extracting #6: cost 29 inf + 5601 1554299949.023 * * [misc]simplify: Extracting #7: cost 3 inf + 20845 1554299949.029 * * [misc]simplify: Extracting #8: cost 0 inf + 22942 1554299949.034 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299949.034 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299949.035 * * * * [misc]progress: [ 292 / 621 ] simplifiying candidate # 1554299949.035 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299949.035 * * [misc]simplify: iters left: 6 (19 enodes) 1554299949.043 * * [misc]simplify: iters left: 5 (71 enodes) 1554299949.056 * * [misc]simplify: iters left: 4 (109 enodes) 1554299949.073 * * [misc]simplify: iters left: 3 (156 enodes) 1554299949.103 * * [misc]simplify: iters left: 2 (202 enodes) 1554299949.168 * * [misc]simplify: iters left: 1 (217 enodes) 1554299949.202 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299949.202 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299949.203 * * [misc]simplify: Extracting #2: cost 47 inf + 0 1554299949.203 * * [misc]simplify: Extracting #3: cost 50 inf + 83 1554299949.203 * * [misc]simplify: Extracting #4: cost 58 inf + 84 1554299949.204 * * [misc]simplify: Extracting #5: cost 51 inf + 859 1554299949.205 * * [misc]simplify: Extracting #6: cost 34 inf + 5213 1554299949.210 * * [misc]simplify: Extracting #7: cost 9 inf + 19148 1554299949.218 * * [misc]simplify: Extracting #8: cost 0 inf + 24526 1554299949.225 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) 1554299949.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299949.226 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299949.226 * * [misc]simplify: iters left: 6 (19 enodes) 1554299949.235 * * [misc]simplify: iters left: 5 (68 enodes) 1554299949.252 * * [misc]simplify: iters left: 4 (82 enodes) 1554299949.265 * * [misc]simplify: iters left: 3 (93 enodes) 1554299949.279 * * [misc]simplify: iters left: 2 (118 enodes) 1554299949.310 * * [misc]simplify: iters left: 1 (135 enodes) 1554299949.345 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299949.345 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299949.345 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299949.346 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299949.346 * * [misc]simplify: Extracting #4: cost 38 inf + 288 1554299949.346 * * [misc]simplify: Extracting #5: cost 31 inf + 618 1554299949.347 * * [misc]simplify: Extracting #6: cost 15 inf + 4016 1554299949.349 * * [misc]simplify: Extracting #7: cost 3 inf + 10373 1554299949.352 * * [misc]simplify: Extracting #8: cost 0 inf + 12478 1554299949.356 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299949.356 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299949.356 * * * * [misc]progress: [ 293 / 621 ] simplifiying candidate # 1554299949.356 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299949.357 * * [misc]simplify: iters left: 6 (20 enodes) 1554299949.362 * * [misc]simplify: iters left: 5 (74 enodes) 1554299949.375 * * [misc]simplify: iters left: 4 (114 enodes) 1554299949.411 * * [misc]simplify: iters left: 3 (186 enodes) 1554299949.471 * * [misc]simplify: iters left: 2 (299 enodes) 1554299949.622 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299949.622 * * [misc]simplify: Extracting #1: cost 46 inf + 0 1554299949.622 * * [misc]simplify: Extracting #2: cost 89 inf + 1 1554299949.623 * * [misc]simplify: Extracting #3: cost 93 inf + 2 1554299949.624 * * [misc]simplify: Extracting #4: cost 100 inf + 84 1554299949.625 * * [misc]simplify: Extracting #5: cost 80 inf + 3534 1554299949.635 * * [misc]simplify: Extracting #6: cost 16 inf + 37827 1554299949.652 * * [misc]simplify: Extracting #7: cost 0 inf + 47199 1554299949.671 * * [misc]simplify: Extracting #8: cost 0 inf + 47159 1554299949.684 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) 1554299949.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (sqrt k)) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299949.685 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299949.685 * * [misc]simplify: iters left: 6 (17 enodes) 1554299949.689 * * [misc]simplify: iters left: 5 (59 enodes) 1554299949.698 * * [misc]simplify: iters left: 4 (71 enodes) 1554299949.708 * * [misc]simplify: iters left: 3 (75 enodes) 1554299949.726 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299949.726 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299949.726 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299949.726 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299949.727 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299949.727 * * [misc]simplify: Extracting #5: cost 20 inf + 1004 1554299949.728 * * [misc]simplify: Extracting #6: cost 9 inf + 3157 1554299949.729 * * [misc]simplify: Extracting #7: cost 2 inf + 6878 1554299949.731 * * [misc]simplify: Extracting #8: cost 0 inf + 8360 1554299949.732 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299949.732 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299949.732 * * * * [misc]progress: [ 294 / 621 ] simplifiying candidate # 1554299949.733 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299949.733 * * [misc]simplify: iters left: 6 (22 enodes) 1554299949.743 * * [misc]simplify: iters left: 5 (79 enodes) 1554299949.755 * * [misc]simplify: iters left: 4 (115 enodes) 1554299949.778 * * [misc]simplify: iters left: 3 (184 enodes) 1554299949.849 * * [misc]simplify: iters left: 2 (284 enodes) 1554299950.001 * * [misc]simplify: iters left: 1 (487 enodes) 1554299950.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299950.308 * * [misc]simplify: Extracting #1: cost 34 inf + 0 1554299950.309 * * [misc]simplify: Extracting #2: cost 68 inf + 1 1554299950.309 * * [misc]simplify: Extracting #3: cost 69 inf + 166 1554299950.309 * * [misc]simplify: Extracting #4: cost 77 inf + 248 1554299950.310 * * [misc]simplify: Extracting #5: cost 76 inf + 252 1554299950.311 * * [misc]simplify: Extracting #6: cost 55 inf + 5423 1554299950.316 * * [misc]simplify: Extracting #7: cost 8 inf + 28624 1554299950.325 * * [misc]simplify: Extracting #8: cost 0 inf + 33708 1554299950.336 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt k) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))))) 1554299950.336 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt k) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299950.336 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299950.336 * * [misc]simplify: iters left: 6 (17 enodes) 1554299950.340 * * [misc]simplify: iters left: 5 (59 enodes) 1554299950.349 * * [misc]simplify: iters left: 4 (71 enodes) 1554299950.360 * * [misc]simplify: iters left: 3 (75 enodes) 1554299950.377 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299950.377 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299950.377 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299950.377 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299950.377 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299950.377 * * [misc]simplify: Extracting #5: cost 20 inf + 1004 1554299950.378 * * [misc]simplify: Extracting #6: cost 9 inf + 3157 1554299950.378 * * [misc]simplify: Extracting #7: cost 2 inf + 6878 1554299950.379 * * [misc]simplify: Extracting #8: cost 0 inf + 8360 1554299950.380 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299950.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt k) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299950.380 * * * * [misc]progress: [ 295 / 621 ] simplifiying candidate # 1554299950.380 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299950.380 * * [misc]simplify: iters left: 6 (23 enodes) 1554299950.388 * * [misc]simplify: iters left: 5 (82 enodes) 1554299950.400 * * [misc]simplify: iters left: 4 (109 enodes) 1554299950.431 * * [misc]simplify: iters left: 3 (156 enodes) 1554299950.460 * * [misc]simplify: iters left: 2 (208 enodes) 1554299950.525 * * [misc]simplify: iters left: 1 (222 enodes) 1554299950.560 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299950.560 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299950.560 * * [misc]simplify: Extracting #2: cost 47 inf + 0 1554299950.560 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299950.560 * * [misc]simplify: Extracting #4: cost 67 inf + 1 1554299950.560 * * [misc]simplify: Extracting #5: cost 59 inf + 415 1554299950.561 * * [misc]simplify: Extracting #6: cost 46 inf + 2611 1554299950.562 * * [misc]simplify: Extracting #7: cost 36 inf + 6532 1554299950.563 * * [misc]simplify: Extracting #8: cost 20 inf + 18970 1554299950.569 * * [misc]simplify: Extracting #9: cost 0 inf + 37310 1554299950.574 * * [misc]simplify: Extracting #10: cost 0 inf + 37190 1554299950.583 * * [misc]simplify: Extracting #11: cost 0 inf + 37150 1554299950.595 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299950.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299950.595 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299950.597 * * [misc]simplify: iters left: 6 (21 enodes) 1554299950.608 * * [misc]simplify: iters left: 5 (72 enodes) 1554299950.629 * * [misc]simplify: iters left: 4 (82 enodes) 1554299950.652 * * [misc]simplify: iters left: 3 (84 enodes) 1554299950.675 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299950.675 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299950.675 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299950.675 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299950.675 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299950.676 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299950.676 * * [misc]simplify: Extracting #6: cost 14 inf + 3158 1554299950.678 * * [misc]simplify: Extracting #7: cost 8 inf + 5138 1554299950.679 * * [misc]simplify: Extracting #8: cost 3 inf + 8549 1554299950.682 * * [misc]simplify: Extracting #9: cost 0 inf + 11054 1554299950.684 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299950.684 * [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)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299950.684 * * * * [misc]progress: [ 296 / 621 ] simplifiying candidate # 1554299950.685 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299950.685 * * [misc]simplify: iters left: 6 (22 enodes) 1554299950.696 * * [misc]simplify: iters left: 5 (77 enodes) 1554299950.719 * * [misc]simplify: iters left: 4 (97 enodes) 1554299950.748 * * [misc]simplify: iters left: 3 (119 enodes) 1554299950.782 * * [misc]simplify: iters left: 2 (130 enodes) 1554299950.802 * * [misc]simplify: iters left: 1 (131 enodes) 1554299950.821 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299950.821 * * [misc]simplify: Extracting #1: cost 15 inf + 0 1554299950.821 * * [misc]simplify: Extracting #2: cost 31 inf + 0 1554299950.822 * * [misc]simplify: Extracting #3: cost 40 inf + 0 1554299950.822 * * [misc]simplify: Extracting #4: cost 51 inf + 1 1554299950.822 * * [misc]simplify: Extracting #5: cost 44 inf + 414 1554299950.823 * * [misc]simplify: Extracting #6: cost 30 inf + 2319 1554299950.824 * * [misc]simplify: Extracting #7: cost 20 inf + 6492 1554299950.827 * * [misc]simplify: Extracting #8: cost 11 inf + 11892 1554299950.831 * * [misc]simplify: Extracting #9: cost 2 inf + 19830 1554299950.837 * * [misc]simplify: Extracting #10: cost 0 inf + 21430 1554299950.842 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299950.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299950.843 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299950.843 * * [misc]simplify: iters left: 6 (21 enodes) 1554299950.853 * * [misc]simplify: iters left: 5 (72 enodes) 1554299950.873 * * [misc]simplify: iters left: 4 (82 enodes) 1554299950.897 * * [misc]simplify: iters left: 3 (84 enodes) 1554299950.909 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299950.909 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299950.909 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299950.909 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299950.909 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299950.909 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299950.910 * * [misc]simplify: Extracting #6: cost 14 inf + 3158 1554299950.910 * * [misc]simplify: Extracting #7: cost 8 inf + 5138 1554299950.911 * * [misc]simplify: Extracting #8: cost 3 inf + 8349 1554299950.912 * * [misc]simplify: Extracting #9: cost 0 inf + 10734 1554299950.913 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299950.913 * [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)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299950.914 * * * * [misc]progress: [ 297 / 621 ] simplifiying candidate # 1554299950.914 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299950.914 * * [misc]simplify: iters left: 6 (25 enodes) 1554299950.920 * * [misc]simplify: iters left: 5 (94 enodes) 1554299950.935 * * [misc]simplify: iters left: 4 (154 enodes) 1554299950.990 * * [misc]simplify: iters left: 3 (340 enodes) 1554299951.133 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299951.134 * * [misc]simplify: Extracting #1: cost 94 inf + 0 1554299951.134 * * [misc]simplify: Extracting #2: cost 229 inf + 0 1554299951.135 * * [misc]simplify: Extracting #3: cost 242 inf + 0 1554299951.136 * * [misc]simplify: Extracting #4: cost 242 inf + 493 1554299951.138 * * [misc]simplify: Extracting #5: cost 214 inf + 9470 1554299951.163 * * [misc]simplify: Extracting #6: cost 56 inf + 139990 1554299951.224 * * [misc]simplify: Extracting #7: cost 0 inf + 192361 1554299951.279 * * [misc]simplify: Extracting #8: cost 0 inf + 192201 1554299951.310 * [exit]simplify: Simplified to (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))) (sqrt (/ 1 (sqrt PI)))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2)))))) 1554299951.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))) (sqrt (/ 1 (sqrt PI)))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299951.310 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299951.311 * * [misc]simplify: iters left: 6 (22 enodes) 1554299951.316 * * [misc]simplify: iters left: 5 (77 enodes) 1554299951.328 * * [misc]simplify: iters left: 4 (95 enodes) 1554299951.342 * * [misc]simplify: iters left: 3 (115 enodes) 1554299951.358 * * [misc]simplify: iters left: 2 (134 enodes) 1554299951.376 * * [misc]simplify: iters left: 1 (153 enodes) 1554299951.421 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299951.421 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299951.422 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299951.422 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299951.422 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299951.423 * * [misc]simplify: Extracting #5: cost 52 inf + 657 1554299951.423 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299951.424 * * [misc]simplify: Extracting #7: cost 35 inf + 3300 1554299951.429 * * [misc]simplify: Extracting #8: cost 4 inf + 23128 1554299951.434 * * [misc]simplify: Extracting #9: cost 0 inf + 26690 1554299951.437 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299951.437 * [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)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299951.438 * * * * [misc]progress: [ 298 / 621 ] simplifiying candidate # 1554299951.438 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299951.438 * * [misc]simplify: iters left: 6 (24 enodes) 1554299951.444 * * [misc]simplify: iters left: 5 (87 enodes) 1554299951.457 * * [misc]simplify: iters left: 4 (126 enodes) 1554299951.490 * * [misc]simplify: iters left: 3 (235 enodes) 1554299951.589 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299951.589 * * [misc]simplify: Extracting #1: cost 65 inf + 0 1554299951.589 * * [misc]simplify: Extracting #2: cost 135 inf + 0 1554299951.590 * * [misc]simplify: Extracting #3: cost 146 inf + 0 1554299951.590 * * [misc]simplify: Extracting #4: cost 147 inf + 452 1554299951.591 * * [misc]simplify: Extracting #5: cost 126 inf + 5053 1554299951.596 * * [misc]simplify: Extracting #6: cost 74 inf + 36727 1554299951.613 * * [misc]simplify: Extracting #7: cost 10 inf + 92651 1554299951.640 * * [misc]simplify: Extracting #8: cost 0 inf + 102697 1554299951.656 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ (- 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 (sqrt PI))))) 1554299951.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (/ (- 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 (sqrt PI))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299951.656 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299951.656 * * [misc]simplify: iters left: 6 (22 enodes) 1554299951.662 * * [misc]simplify: iters left: 5 (77 enodes) 1554299951.684 * * [misc]simplify: iters left: 4 (95 enodes) 1554299951.702 * * [misc]simplify: iters left: 3 (115 enodes) 1554299951.718 * * [misc]simplify: iters left: 2 (134 enodes) 1554299951.748 * * [misc]simplify: iters left: 1 (153 enodes) 1554299951.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299951.771 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299951.771 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299951.771 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299951.771 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299951.772 * * [misc]simplify: Extracting #5: cost 52 inf + 657 1554299951.772 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299951.773 * * [misc]simplify: Extracting #7: cost 35 inf + 3300 1554299951.775 * * [misc]simplify: Extracting #8: cost 4 inf + 22368 1554299951.778 * * [misc]simplify: Extracting #9: cost 0 inf + 25810 1554299951.781 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299951.781 * [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)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299951.781 * * * * [misc]progress: [ 299 / 621 ] simplifiying candidate # 1554299951.781 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299951.782 * * [misc]simplify: iters left: 6 (21 enodes) 1554299951.787 * * [misc]simplify: iters left: 5 (75 enodes) 1554299951.808 * * [misc]simplify: iters left: 4 (114 enodes) 1554299951.836 * * [misc]simplify: iters left: 3 (205 enodes) 1554299951.890 * * [misc]simplify: iters left: 2 (372 enodes) 1554299952.100 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299952.100 * * [misc]simplify: Extracting #1: cost 43 inf + 0 1554299952.100 * * [misc]simplify: Extracting #2: cost 83 inf + 1 1554299952.100 * * [misc]simplify: Extracting #3: cost 90 inf + 1 1554299952.101 * * [misc]simplify: Extracting #4: cost 96 inf + 84 1554299952.101 * * [misc]simplify: Extracting #5: cost 82 inf + 2308 1554299952.105 * * [misc]simplify: Extracting #6: cost 30 inf + 28071 1554299952.113 * * [misc]simplify: Extracting #7: cost 0 inf + 44991 1554299952.122 * * [misc]simplify: Extracting #8: cost 0 inf + 44951 1554299952.138 * [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 (/ 1 (sqrt PI)))) 1554299952.138 * [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 (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299952.139 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299952.139 * * [misc]simplify: iters left: 6 (21 enodes) 1554299952.149 * * [misc]simplify: iters left: 5 (74 enodes) 1554299952.164 * * [misc]simplify: iters left: 4 (92 enodes) 1554299952.176 * * [misc]simplify: iters left: 3 (112 enodes) 1554299952.200 * * [misc]simplify: iters left: 2 (131 enodes) 1554299952.224 * * [misc]simplify: iters left: 1 (150 enodes) 1554299952.250 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299952.250 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299952.251 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299952.251 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299952.251 * * [misc]simplify: Extracting #4: cost 56 inf + 289 1554299952.252 * * [misc]simplify: Extracting #5: cost 41 inf + 1717 1554299952.253 * * [misc]simplify: Extracting #6: cost 26 inf + 6956 1554299952.258 * * [misc]simplify: Extracting #7: cost 5 inf + 20408 1554299952.264 * * [misc]simplify: Extracting #8: cost 0 inf + 24024 1554299952.270 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299952.270 * [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)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299952.271 * * * * [misc]progress: [ 300 / 621 ] simplifiying candidate # 1554299952.271 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299952.271 * * [misc]simplify: iters left: 6 (24 enodes) 1554299952.283 * * [misc]simplify: iters left: 5 (87 enodes) 1554299952.301 * * [misc]simplify: iters left: 4 (125 enodes) 1554299952.324 * * [misc]simplify: iters left: 3 (216 enodes) 1554299952.410 * * [misc]simplify: iters left: 2 (440 enodes) 1554299952.647 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299952.647 * * [misc]simplify: Extracting #1: cost 75 inf + 0 1554299952.647 * * [misc]simplify: Extracting #2: cost 142 inf + 0 1554299952.648 * * [misc]simplify: Extracting #3: cost 153 inf + 0 1554299952.649 * * [misc]simplify: Extracting #4: cost 154 inf + 452 1554299952.649 * * [misc]simplify: Extracting #5: cost 137 inf + 3435 1554299952.655 * * [misc]simplify: Extracting #6: cost 77 inf + 45269 1554299952.674 * * [misc]simplify: Extracting #7: cost 7 inf + 107167 1554299952.709 * * [misc]simplify: Extracting #8: cost 0 inf + 113602 1554299952.730 * [exit]simplify: Simplified to (/ (* (/ (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299952.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299952.730 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299952.730 * * [misc]simplify: iters left: 6 (22 enodes) 1554299952.736 * * [misc]simplify: iters left: 5 (77 enodes) 1554299952.747 * * [misc]simplify: iters left: 4 (95 enodes) 1554299952.762 * * [misc]simplify: iters left: 3 (115 enodes) 1554299952.783 * * [misc]simplify: iters left: 2 (134 enodes) 1554299952.802 * * [misc]simplify: iters left: 1 (153 enodes) 1554299952.832 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299952.832 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299952.833 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299952.833 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299952.833 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299952.833 * * [misc]simplify: Extracting #5: cost 52 inf + 577 1554299952.833 * * [misc]simplify: Extracting #6: cost 41 inf + 1481 1554299952.834 * * [misc]simplify: Extracting #7: cost 35 inf + 3140 1554299952.836 * * [misc]simplify: Extracting #8: cost 4 inf + 22288 1554299952.839 * * [misc]simplify: Extracting #9: cost 0 inf + 25730 1554299952.842 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299952.842 * [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)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299952.843 * * * * [misc]progress: [ 301 / 621 ] simplifiying candidate # 1554299952.843 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299952.843 * * [misc]simplify: iters left: 6 (23 enodes) 1554299952.848 * * [misc]simplify: iters left: 5 (82 enodes) 1554299952.867 * * [misc]simplify: iters left: 4 (112 enodes) 1554299952.902 * * [misc]simplify: iters left: 3 (170 enodes) 1554299952.959 * * [misc]simplify: iters left: 2 (268 enodes) 1554299953.064 * * [misc]simplify: iters left: 1 (384 enodes) 1554299953.178 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299953.178 * * [misc]simplify: Extracting #1: cost 37 inf + 0 1554299953.178 * * [misc]simplify: Extracting #2: cost 75 inf + 0 1554299953.178 * * [misc]simplify: Extracting #3: cost 86 inf + 0 1554299953.179 * * [misc]simplify: Extracting #4: cost 86 inf + 452 1554299953.179 * * [misc]simplify: Extracting #5: cost 69 inf + 3133 1554299953.182 * * [misc]simplify: Extracting #6: cost 36 inf + 21174 1554299953.189 * * [misc]simplify: Extracting #7: cost 3 inf + 46077 1554299953.198 * * [misc]simplify: Extracting #8: cost 0 inf + 48210 1554299953.213 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k)))) 1554299953.213 * [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 (sqrt PI)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299953.213 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299953.214 * * [misc]simplify: iters left: 6 (22 enodes) 1554299953.224 * * [misc]simplify: iters left: 5 (77 enodes) 1554299953.245 * * [misc]simplify: iters left: 4 (95 enodes) 1554299953.272 * * [misc]simplify: iters left: 3 (115 enodes) 1554299953.303 * * [misc]simplify: iters left: 2 (134 enodes) 1554299953.332 * * [misc]simplify: iters left: 1 (153 enodes) 1554299953.354 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299953.354 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299953.354 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299953.355 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299953.355 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299953.355 * * [misc]simplify: Extracting #5: cost 52 inf + 577 1554299953.355 * * [misc]simplify: Extracting #6: cost 41 inf + 1481 1554299953.356 * * [misc]simplify: Extracting #7: cost 35 inf + 3140 1554299953.359 * * [misc]simplify: Extracting #8: cost 4 inf + 21528 1554299953.366 * * [misc]simplify: Extracting #9: cost 0 inf + 24850 1554299953.372 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299953.372 * [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)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299953.372 * * * * [misc]progress: [ 302 / 621 ] simplifiying candidate # 1554299953.373 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299953.373 * * [misc]simplify: iters left: 6 (20 enodes) 1554299953.382 * * [misc]simplify: iters left: 5 (70 enodes) 1554299953.393 * * [misc]simplify: iters left: 4 (94 enodes) 1554299953.412 * * [misc]simplify: iters left: 3 (135 enodes) 1554299953.444 * * [misc]simplify: iters left: 2 (181 enodes) 1554299953.487 * * [misc]simplify: iters left: 1 (245 enodes) 1554299953.588 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299953.588 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299953.588 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299953.589 * * [misc]simplify: Extracting #3: cost 52 inf + 1 1554299953.589 * * [misc]simplify: Extracting #4: cost 59 inf + 43 1554299953.589 * * [misc]simplify: Extracting #5: cost 49 inf + 861 1554299953.591 * * [misc]simplify: Extracting #6: cost 31 inf + 5045 1554299953.597 * * [misc]simplify: Extracting #7: cost 2 inf + 20232 1554299953.601 * * [misc]simplify: Extracting #8: cost 0 inf + 21544 1554299953.605 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1554299953.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299953.606 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299953.606 * * [misc]simplify: iters left: 6 (21 enodes) 1554299953.611 * * [misc]simplify: iters left: 5 (74 enodes) 1554299953.623 * * [misc]simplify: iters left: 4 (92 enodes) 1554299953.644 * * [misc]simplify: iters left: 3 (112 enodes) 1554299953.660 * * [misc]simplify: iters left: 2 (131 enodes) 1554299953.679 * * [misc]simplify: iters left: 1 (150 enodes) 1554299953.705 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299953.705 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299953.706 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299953.706 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299953.706 * * [misc]simplify: Extracting #4: cost 56 inf + 249 1554299953.706 * * [misc]simplify: Extracting #5: cost 41 inf + 1557 1554299953.707 * * [misc]simplify: Extracting #6: cost 26 inf + 6596 1554299953.709 * * [misc]simplify: Extracting #7: cost 5 inf + 19568 1554299953.712 * * [misc]simplify: Extracting #8: cost 0 inf + 23064 1554299953.715 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299953.715 * [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)))) (/ (sqrt (sqrt k)) 1)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299953.715 * * * * [misc]progress: [ 303 / 621 ] simplifiying candidate # 1554299953.715 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299953.715 * * [misc]simplify: iters left: 6 (22 enodes) 1554299953.721 * * [misc]simplify: iters left: 5 (81 enodes) 1554299953.743 * * [misc]simplify: iters left: 4 (115 enodes) 1554299953.780 * * [misc]simplify: iters left: 3 (192 enodes) 1554299953.853 * * [misc]simplify: iters left: 2 (420 enodes) 1554299954.171 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299954.172 * * [misc]simplify: Extracting #1: cost 44 inf + 0 1554299954.172 * * [misc]simplify: Extracting #2: cost 105 inf + 1 1554299954.173 * * [misc]simplify: Extracting #3: cost 113 inf + 1 1554299954.174 * * [misc]simplify: Extracting #4: cost 116 inf + 451 1554299954.175 * * [misc]simplify: Extracting #5: cost 113 inf + 579 1554299954.177 * * [misc]simplify: Extracting #6: cost 106 inf + 1949 1554299954.180 * * [misc]simplify: Extracting #7: cost 85 inf + 10852 1554299954.185 * * [misc]simplify: Extracting #8: cost 68 inf + 22079 1554299954.206 * * [misc]simplify: Extracting #9: cost 14 inf + 67934 1554299954.233 * * [misc]simplify: Extracting #10: cost 0 inf + 79446 1554299954.250 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) 1554299954.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299954.250 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299954.251 * * [misc]simplify: iters left: 6 (21 enodes) 1554299954.256 * * [misc]simplify: iters left: 5 (74 enodes) 1554299954.268 * * [misc]simplify: iters left: 4 (92 enodes) 1554299954.296 * * [misc]simplify: iters left: 3 (112 enodes) 1554299954.312 * * [misc]simplify: iters left: 2 (131 enodes) 1554299954.330 * * [misc]simplify: iters left: 1 (150 enodes) 1554299954.352 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299954.353 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299954.353 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299954.353 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299954.353 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299954.353 * * [misc]simplify: Extracting #5: cost 48 inf + 1025 1554299954.354 * * [misc]simplify: Extracting #6: cost 39 inf + 2147 1554299954.354 * * [misc]simplify: Extracting #7: cost 26 inf + 8117 1554299954.356 * * [misc]simplify: Extracting #8: cost 10 inf + 17625 1554299954.362 * * [misc]simplify: Extracting #9: cost 0 inf + 24368 1554299954.367 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299954.368 * [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)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299954.368 * * * * [misc]progress: [ 304 / 621 ] simplifiying candidate # 1554299954.368 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299954.368 * * [misc]simplify: iters left: 6 (21 enodes) 1554299954.379 * * [misc]simplify: iters left: 5 (76 enodes) 1554299954.394 * * [misc]simplify: iters left: 4 (102 enodes) 1554299954.410 * * [misc]simplify: iters left: 3 (146 enodes) 1554299954.464 * * [misc]simplify: iters left: 2 (232 enodes) 1554299954.531 * * [misc]simplify: iters left: 1 (307 enodes) 1554299954.623 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299954.623 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299954.623 * * [misc]simplify: Extracting #2: cost 41 inf + 1 1554299954.623 * * [misc]simplify: Extracting #3: cost 49 inf + 1 1554299954.623 * * [misc]simplify: Extracting #4: cost 53 inf + 329 1554299954.624 * * [misc]simplify: Extracting #5: cost 51 inf + 495 1554299954.624 * * [misc]simplify: Extracting #6: cost 38 inf + 3062 1554299954.625 * * [misc]simplify: Extracting #7: cost 24 inf + 8875 1554299954.628 * * [misc]simplify: Extracting #8: cost 7 inf + 20100 1554299954.632 * * [misc]simplify: Extracting #9: cost 0 inf + 24272 1554299954.636 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299954.636 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (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 (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299954.637 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299954.637 * * [misc]simplify: iters left: 6 (21 enodes) 1554299954.643 * * [misc]simplify: iters left: 5 (74 enodes) 1554299954.665 * * [misc]simplify: iters left: 4 (92 enodes) 1554299954.691 * * [misc]simplify: iters left: 3 (112 enodes) 1554299954.709 * * [misc]simplify: iters left: 2 (131 enodes) 1554299954.734 * * [misc]simplify: iters left: 1 (150 enodes) 1554299954.775 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299954.775 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299954.775 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299954.776 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299954.776 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299954.776 * * [misc]simplify: Extracting #5: cost 48 inf + 1025 1554299954.777 * * [misc]simplify: Extracting #6: cost 39 inf + 2147 1554299954.779 * * [misc]simplify: Extracting #7: cost 26 inf + 8117 1554299954.783 * * [misc]simplify: Extracting #8: cost 10 inf + 17145 1554299954.787 * * [misc]simplify: Extracting #9: cost 0 inf + 23488 1554299954.789 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299954.790 * [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)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299954.790 * * * * [misc]progress: [ 305 / 621 ] simplifiying candidate # 1554299954.790 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299954.790 * * [misc]simplify: iters left: 6 (18 enodes) 1554299954.795 * * [misc]simplify: iters left: 5 (62 enodes) 1554299954.804 * * [misc]simplify: iters left: 4 (78 enodes) 1554299954.816 * * [misc]simplify: iters left: 3 (91 enodes) 1554299954.829 * * [misc]simplify: iters left: 2 (103 enodes) 1554299954.847 * * [misc]simplify: iters left: 1 (105 enodes) 1554299954.871 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299954.871 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299954.872 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299954.872 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299954.872 * * [misc]simplify: Extracting #4: cost 30 inf + 1 1554299954.872 * * [misc]simplify: Extracting #5: cost 27 inf + 169 1554299954.872 * * [misc]simplify: Extracting #6: cost 18 inf + 787 1554299954.873 * * [misc]simplify: Extracting #7: cost 8 inf + 3723 1554299954.875 * * [misc]simplify: Extracting #8: cost 1 inf + 7310 1554299954.878 * * [misc]simplify: Extracting #9: cost 0 inf + 7926 1554299954.880 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299954.880 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299954.881 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299954.881 * * [misc]simplify: iters left: 6 (20 enodes) 1554299954.890 * * [misc]simplify: iters left: 5 (71 enodes) 1554299954.912 * * [misc]simplify: iters left: 4 (89 enodes) 1554299954.937 * * [misc]simplify: iters left: 3 (109 enodes) 1554299954.967 * * [misc]simplify: iters left: 2 (128 enodes) 1554299955.003 * * [misc]simplify: iters left: 1 (147 enodes) 1554299955.028 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.029 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299955.029 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299955.029 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299955.029 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299955.029 * * [misc]simplify: Extracting #5: cost 44 inf + 828 1554299955.030 * * [misc]simplify: Extracting #6: cost 29 inf + 5281 1554299955.032 * * [misc]simplify: Extracting #7: cost 3 inf + 20005 1554299955.034 * * [misc]simplify: Extracting #8: cost 0 inf + 22022 1554299955.037 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299955.037 * [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)))) (/ 1 1)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299955.038 * * * * [misc]progress: [ 306 / 621 ] simplifiying candidate # 1554299955.038 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) 1) 1554299955.038 * * [misc]simplify: iters left: 6 (17 enodes) 1554299955.043 * * [misc]simplify: iters left: 5 (59 enodes) 1554299955.060 * * [misc]simplify: iters left: 4 (77 enodes) 1554299955.081 * * [misc]simplify: iters left: 3 (91 enodes) 1554299955.095 * * [misc]simplify: iters left: 2 (100 enodes) 1554299955.111 * * [misc]simplify: iters left: 1 (102 enodes) 1554299955.134 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.134 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299955.134 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299955.134 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299955.135 * * [misc]simplify: Extracting #4: cost 30 inf + 1 1554299955.135 * * [misc]simplify: Extracting #5: cost 28 inf + 128 1554299955.135 * * [misc]simplify: Extracting #6: cost 19 inf + 745 1554299955.136 * * [misc]simplify: Extracting #7: cost 11 inf + 2238 1554299955.137 * * [misc]simplify: Extracting #8: cost 1 inf + 7310 1554299955.140 * * [misc]simplify: Extracting #9: cost 0 inf + 7926 1554299955.141 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299955.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299955.142 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299955.142 * * [misc]simplify: iters left: 6 (20 enodes) 1554299955.146 * * [misc]simplify: iters left: 5 (71 enodes) 1554299955.157 * * [misc]simplify: iters left: 4 (89 enodes) 1554299955.170 * * [misc]simplify: iters left: 3 (109 enodes) 1554299955.194 * * [misc]simplify: iters left: 2 (128 enodes) 1554299955.211 * * [misc]simplify: iters left: 1 (147 enodes) 1554299955.241 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.241 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299955.241 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299955.241 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299955.241 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299955.241 * * [misc]simplify: Extracting #5: cost 44 inf + 828 1554299955.242 * * [misc]simplify: Extracting #6: cost 29 inf + 5281 1554299955.244 * * [misc]simplify: Extracting #7: cost 3 inf + 20005 1554299955.247 * * [misc]simplify: Extracting #8: cost 0 inf + 22022 1554299955.249 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299955.249 * [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)))) 1) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299955.250 * * * * [misc]progress: [ 307 / 621 ] simplifiying candidate # 1554299955.250 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299955.250 * * [misc]simplify: iters left: 6 (18 enodes) 1554299955.255 * * [misc]simplify: iters left: 5 (64 enodes) 1554299955.271 * * [misc]simplify: iters left: 4 (86 enodes) 1554299955.287 * * [misc]simplify: iters left: 3 (110 enodes) 1554299955.303 * * [misc]simplify: iters left: 2 (121 enodes) 1554299955.332 * * [misc]simplify: iters left: 1 (122 enodes) 1554299955.347 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.347 * * [misc]simplify: Extracting #1: cost 15 inf + 0 1554299955.347 * * [misc]simplify: Extracting #2: cost 31 inf + 0 1554299955.348 * * [misc]simplify: Extracting #3: cost 34 inf + 83 1554299955.348 * * [misc]simplify: Extracting #4: cost 42 inf + 84 1554299955.348 * * [misc]simplify: Extracting #5: cost 39 inf + 211 1554299955.348 * * [misc]simplify: Extracting #6: cost 26 inf + 2738 1554299955.350 * * [misc]simplify: Extracting #7: cost 6 inf + 11485 1554299955.352 * * [misc]simplify: Extracting #8: cost 0 inf + 14564 1554299955.353 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (sqrt PI))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299955.353 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (sqrt PI))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299955.354 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299955.354 * * [misc]simplify: iters left: 6 (19 enodes) 1554299955.360 * * [misc]simplify: iters left: 5 (68 enodes) 1554299955.379 * * [misc]simplify: iters left: 4 (82 enodes) 1554299955.398 * * [misc]simplify: iters left: 3 (93 enodes) 1554299955.412 * * [misc]simplify: iters left: 2 (118 enodes) 1554299955.435 * * [misc]simplify: iters left: 1 (135 enodes) 1554299955.469 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.469 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299955.469 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299955.469 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299955.469 * * [misc]simplify: Extracting #4: cost 38 inf + 248 1554299955.470 * * [misc]simplify: Extracting #5: cost 31 inf + 538 1554299955.470 * * [misc]simplify: Extracting #6: cost 15 inf + 3896 1554299955.473 * * [misc]simplify: Extracting #7: cost 3 inf + 9973 1554299955.476 * * [misc]simplify: Extracting #8: cost 0 inf + 11998 1554299955.479 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299955.479 * [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)))) (sqrt k)) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299955.479 * * * * [misc]progress: [ 308 / 621 ] simplifiying candidate # 1554299955.480 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299955.480 * * [misc]simplify: iters left: 6 (19 enodes) 1554299955.489 * * [misc]simplify: iters left: 5 (67 enodes) 1554299955.503 * * [misc]simplify: iters left: 4 (91 enodes) 1554299955.518 * * [misc]simplify: iters left: 3 (132 enodes) 1554299955.551 * * [misc]simplify: iters left: 2 (178 enodes) 1554299955.612 * * [misc]simplify: iters left: 1 (242 enodes) 1554299955.685 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.685 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299955.685 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299955.686 * * [misc]simplify: Extracting #3: cost 49 inf + 2 1554299955.686 * * [misc]simplify: Extracting #4: cost 57 inf + 43 1554299955.686 * * [misc]simplify: Extracting #5: cost 48 inf + 620 1554299955.688 * * [misc]simplify: Extracting #6: cost 28 inf + 4727 1554299955.692 * * [misc]simplify: Extracting #7: cost 7 inf + 16274 1554299955.702 * * [misc]simplify: Extracting #8: cost 0 inf + 20502 1554299955.710 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) 1554299955.710 * [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 (sqrt PI))) (sqrt k))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299955.711 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299955.711 * * [misc]simplify: iters left: 6 (17 enodes) 1554299955.719 * * [misc]simplify: iters left: 5 (59 enodes) 1554299955.736 * * [misc]simplify: iters left: 4 (71 enodes) 1554299955.750 * * [misc]simplify: iters left: 3 (75 enodes) 1554299955.760 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.760 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299955.761 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299955.761 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299955.761 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299955.761 * * [misc]simplify: Extracting #5: cost 20 inf + 964 1554299955.761 * * [misc]simplify: Extracting #6: cost 9 inf + 3037 1554299955.762 * * [misc]simplify: Extracting #7: cost 2 inf + 6638 1554299955.763 * * [misc]simplify: Extracting #8: cost 0 inf + 8040 1554299955.763 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299955.763 * [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)))) (/ (sqrt k) 1)) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299955.764 * * * * [misc]progress: [ 309 / 621 ] simplifiying candidate # 1554299955.764 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299955.764 * * [misc]simplify: iters left: 6 (21 enodes) 1554299955.769 * * [misc]simplify: iters left: 5 (72 enodes) 1554299955.784 * * [misc]simplify: iters left: 4 (92 enodes) 1554299955.798 * * [misc]simplify: iters left: 3 (132 enodes) 1554299955.833 * * [misc]simplify: iters left: 2 (168 enodes) 1554299955.893 * * [misc]simplify: iters left: 1 (243 enodes) 1554299955.949 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299955.949 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299955.949 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299955.950 * * [misc]simplify: Extracting #3: cost 49 inf + 2 1554299955.950 * * [misc]simplify: Extracting #4: cost 54 inf + 248 1554299955.951 * * [misc]simplify: Extracting #5: cost 49 inf + 538 1554299955.952 * * [misc]simplify: Extracting #6: cost 31 inf + 5470 1554299955.958 * * [misc]simplify: Extracting #7: cost 7 inf + 16646 1554299955.966 * * [misc]simplify: Extracting #8: cost 0 inf + 20502 1554299955.975 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299955.975 * [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)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299955.975 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299955.976 * * [misc]simplify: iters left: 6 (17 enodes) 1554299955.984 * * [misc]simplify: iters left: 5 (59 enodes) 1554299956.000 * * [misc]simplify: iters left: 4 (71 enodes) 1554299956.010 * * [misc]simplify: iters left: 3 (75 enodes) 1554299956.020 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299956.020 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299956.020 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299956.020 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299956.020 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299956.021 * * [misc]simplify: Extracting #5: cost 20 inf + 964 1554299956.021 * * [misc]simplify: Extracting #6: cost 9 inf + 3037 1554299956.022 * * [misc]simplify: Extracting #7: cost 2 inf + 6638 1554299956.022 * * [misc]simplify: Extracting #8: cost 0 inf + 8040 1554299956.023 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299956.023 * [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)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299956.023 * * * * [misc]progress: [ 310 / 621 ] simplifiying candidate # 1554299956.024 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299956.024 * * [misc]simplify: iters left: 6 (20 enodes) 1554299956.032 * * [misc]simplify: iters left: 5 (70 enodes) 1554299956.055 * * [misc]simplify: iters left: 4 (102 enodes) 1554299956.087 * * [misc]simplify: iters left: 3 (140 enodes) 1554299956.129 * * [misc]simplify: iters left: 2 (189 enodes) 1554299956.162 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299956.163 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299956.163 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554299956.163 * * [misc]simplify: Extracting #3: cost 30 inf + 1 1554299956.163 * * [misc]simplify: Extracting #4: cost 41 inf + 1 1554299956.163 * * [misc]simplify: Extracting #5: cost 38 inf + 48 1554299956.164 * * [misc]simplify: Extracting #6: cost 23 inf + 3000 1554299956.165 * * [misc]simplify: Extracting #7: cost 15 inf + 6218 1554299956.169 * * [misc]simplify: Extracting #8: cost 1 inf + 17493 1554299956.171 * * [misc]simplify: Extracting #9: cost 0 inf + 17906 1554299956.174 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299956.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299956.174 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299956.174 * * [misc]simplify: iters left: 6 (20 enodes) 1554299956.179 * * [misc]simplify: iters left: 5 (71 enodes) 1554299956.189 * * [misc]simplify: iters left: 4 (86 enodes) 1554299956.207 * * [misc]simplify: iters left: 3 (102 enodes) 1554299956.226 * * [misc]simplify: iters left: 2 (110 enodes) 1554299956.241 * * [misc]simplify: iters left: 1 (121 enodes) 1554299956.259 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299956.259 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299956.260 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299956.260 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299956.260 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299956.260 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299956.261 * * [misc]simplify: Extracting #6: cost 20 inf + 3116 1554299956.263 * * [misc]simplify: Extracting #7: cost 13 inf + 5269 1554299956.264 * * [misc]simplify: Extracting #8: cost 8 inf + 7946 1554299956.267 * * [misc]simplify: Extracting #9: cost 0 inf + 14030 1554299956.272 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299956.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299956.272 * * * * [misc]progress: [ 311 / 621 ] simplifiying candidate # 1554299956.273 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299956.273 * * [misc]simplify: iters left: 6 (19 enodes) 1554299956.282 * * [misc]simplify: iters left: 5 (65 enodes) 1554299956.303 * * [misc]simplify: iters left: 4 (86 enodes) 1554299956.331 * * [misc]simplify: iters left: 3 (101 enodes) 1554299956.357 * * [misc]simplify: iters left: 2 (115 enodes) 1554299956.390 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299956.390 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299956.390 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299956.390 * * [misc]simplify: Extracting #3: cost 22 inf + 1 1554299956.390 * * [misc]simplify: Extracting #4: cost 33 inf + 1 1554299956.390 * * [misc]simplify: Extracting #5: cost 29 inf + 89 1554299956.391 * * [misc]simplify: Extracting #6: cost 16 inf + 2375 1554299956.392 * * [misc]simplify: Extracting #7: cost 5 inf + 7336 1554299956.395 * * [misc]simplify: Extracting #8: cost 1 inf + 10305 1554299956.398 * * [misc]simplify: Extracting #9: cost 0 inf + 11170 1554299956.400 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299956.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299956.401 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299956.401 * * [misc]simplify: iters left: 6 (20 enodes) 1554299956.411 * * [misc]simplify: iters left: 5 (71 enodes) 1554299956.429 * * [misc]simplify: iters left: 4 (86 enodes) 1554299956.441 * * [misc]simplify: iters left: 3 (102 enodes) 1554299956.462 * * [misc]simplify: iters left: 2 (110 enodes) 1554299956.490 * * [misc]simplify: iters left: 1 (121 enodes) 1554299956.506 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299956.506 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299956.506 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299956.506 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299956.506 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299956.506 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299956.507 * * [misc]simplify: Extracting #6: cost 20 inf + 3116 1554299956.507 * * [misc]simplify: Extracting #7: cost 13 inf + 5269 1554299956.508 * * [misc]simplify: Extracting #8: cost 8 inf + 7786 1554299956.510 * * [misc]simplify: Extracting #9: cost 0 inf + 13550 1554299956.512 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299956.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299956.512 * * * * [misc]progress: [ 312 / 621 ] simplifiying candidate # 1554299956.512 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299956.512 * * [misc]simplify: iters left: 6 (22 enodes) 1554299956.518 * * [misc]simplify: iters left: 5 (82 enodes) 1554299956.546 * * [misc]simplify: iters left: 4 (149 enodes) 1554299956.592 * * [misc]simplify: iters left: 3 (318 enodes) 1554299956.823 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299956.823 * * [misc]simplify: Extracting #1: cost 77 inf + 0 1554299956.824 * * [misc]simplify: Extracting #2: cost 177 inf + 1 1554299956.826 * * [misc]simplify: Extracting #3: cost 185 inf + 1 1554299956.828 * * [misc]simplify: Extracting #4: cost 186 inf + 488 1554299956.831 * * [misc]simplify: Extracting #5: cost 155 inf + 12300 1554299956.838 * * [misc]simplify: Extracting #6: cost 118 inf + 32083 1554299956.861 * * [misc]simplify: Extracting #7: cost 54 inf + 84081 1554299956.898 * * [misc]simplify: Extracting #8: cost 4 inf + 129608 1554299956.934 * * [misc]simplify: Extracting #9: cost 0 inf + 133668 1554299956.954 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k)))) 1554299956.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299956.954 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299956.955 * * [misc]simplify: iters left: 6 (21 enodes) 1554299956.960 * * [misc]simplify: iters left: 5 (76 enodes) 1554299956.972 * * [misc]simplify: iters left: 4 (101 enodes) 1554299956.989 * * [misc]simplify: iters left: 3 (154 enodes) 1554299957.017 * * [misc]simplify: iters left: 2 (219 enodes) 1554299957.057 * * [misc]simplify: iters left: 1 (316 enodes) 1554299957.174 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299957.175 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299957.175 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299957.175 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299957.176 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299957.176 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299957.177 * * [misc]simplify: Extracting #6: cost 53 inf + 3497 1554299957.178 * * [misc]simplify: Extracting #7: cost 37 inf + 11227 1554299957.182 * * [misc]simplify: Extracting #8: cost 9 inf + 29655 1554299957.188 * * [misc]simplify: Extracting #9: cost 0 inf + 35783 1554299957.201 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299957.201 * [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))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299957.201 * * * * [misc]progress: [ 313 / 621 ] simplifiying candidate # 1554299957.202 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299957.202 * * [misc]simplify: iters left: 6 (21 enodes) 1554299957.212 * * [misc]simplify: iters left: 5 (75 enodes) 1554299957.227 * * [misc]simplify: iters left: 4 (119 enodes) 1554299957.251 * * [misc]simplify: iters left: 3 (217 enodes) 1554299957.332 * * [misc]simplify: iters left: 2 (495 enodes) 1554299957.614 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299957.614 * * [misc]simplify: Extracting #1: cost 38 inf + 0 1554299957.615 * * [misc]simplify: Extracting #2: cost 75 inf + 1 1554299957.616 * * [misc]simplify: Extracting #3: cost 84 inf + 1 1554299957.617 * * [misc]simplify: Extracting #4: cost 90 inf + 3 1554299957.618 * * [misc]simplify: Extracting #5: cost 75 inf + 1733 1554299957.621 * * [misc]simplify: Extracting #6: cost 52 inf + 12569 1554299957.627 * * [misc]simplify: Extracting #7: cost 29 inf + 27388 1554299957.635 * * [misc]simplify: Extracting #8: cost 2 inf + 46902 1554299957.646 * * [misc]simplify: Extracting #9: cost 0 inf + 48674 1554299957.655 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299957.655 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ 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 (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299957.655 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299957.655 * * [misc]simplify: iters left: 6 (21 enodes) 1554299957.660 * * [misc]simplify: iters left: 5 (76 enodes) 1554299957.680 * * [misc]simplify: iters left: 4 (101 enodes) 1554299957.696 * * [misc]simplify: iters left: 3 (154 enodes) 1554299957.730 * * [misc]simplify: iters left: 2 (219 enodes) 1554299957.778 * * [misc]simplify: iters left: 1 (316 enodes) 1554299957.857 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299957.857 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299957.857 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299957.857 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299957.858 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299957.858 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299957.859 * * [misc]simplify: Extracting #6: cost 53 inf + 3497 1554299957.863 * * [misc]simplify: Extracting #7: cost 37 inf + 11227 1554299957.871 * * [misc]simplify: Extracting #8: cost 9 inf + 28735 1554299957.880 * * [misc]simplify: Extracting #9: cost 0 inf + 34503 1554299957.886 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299957.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ 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 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299957.886 * * * * [misc]progress: [ 314 / 621 ] simplifiying candidate # 1554299957.886 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299957.886 * * [misc]simplify: iters left: 6 (17 enodes) 1554299957.891 * * [misc]simplify: iters left: 5 (60 enodes) 1554299957.902 * * [misc]simplify: iters left: 4 (100 enodes) 1554299957.930 * * [misc]simplify: iters left: 3 (181 enodes) 1554299957.994 * * [misc]simplify: iters left: 2 (278 enodes) 1554299958.084 * * [misc]simplify: iters left: 1 (429 enodes) 1554299958.410 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299958.410 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299958.411 * * [misc]simplify: Extracting #2: cost 34 inf + 1 1554299958.411 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1554299958.411 * * [misc]simplify: Extracting #4: cost 43 inf + 164 1554299958.412 * * [misc]simplify: Extracting #5: cost 37 inf + 1016 1554299958.413 * * [misc]simplify: Extracting #6: cost 29 inf + 2005 1554299958.415 * * [misc]simplify: Extracting #7: cost 18 inf + 5831 1554299958.421 * * [misc]simplify: Extracting #8: cost 2 inf + 14699 1554299958.429 * * [misc]simplify: Extracting #9: cost 0 inf + 15927 1554299958.437 * [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)))) 1554299958.437 * [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)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299958.437 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299958.438 * * [misc]simplify: iters left: 6 (20 enodes) 1554299958.447 * * [misc]simplify: iters left: 5 (73 enodes) 1554299958.469 * * [misc]simplify: iters left: 4 (98 enodes) 1554299958.495 * * [misc]simplify: iters left: 3 (151 enodes) 1554299958.523 * * [misc]simplify: iters left: 2 (216 enodes) 1554299958.577 * * [misc]simplify: iters left: 1 (314 enodes) 1554299958.698 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299958.698 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299958.698 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299958.699 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299958.699 * * [misc]simplify: Extracting #4: cost 68 inf + 575 1554299958.700 * * [misc]simplify: Extracting #5: cost 56 inf + 2099 1554299958.703 * * [misc]simplify: Extracting #6: cost 34 inf + 10584 1554299958.712 * * [misc]simplify: Extracting #7: cost 2 inf + 31146 1554299958.720 * * [misc]simplify: Extracting #8: cost 0 inf + 32637 1554299958.726 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299958.726 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299958.726 * * * * [misc]progress: [ 315 / 621 ] simplifiying candidate # 1554299958.726 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299958.726 * * [misc]simplify: iters left: 6 (21 enodes) 1554299958.732 * * [misc]simplify: iters left: 5 (75 enodes) 1554299958.743 * * [misc]simplify: iters left: 4 (116 enodes) 1554299958.776 * * [misc]simplify: iters left: 3 (189 enodes) 1554299958.829 * * [misc]simplify: iters left: 2 (398 enodes) 1554299959.030 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299959.030 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299959.031 * * [misc]simplify: Extracting #2: cost 86 inf + 1 1554299959.031 * * [misc]simplify: Extracting #3: cost 94 inf + 1 1554299959.031 * * [misc]simplify: Extracting #4: cost 100 inf + 3 1554299959.032 * * [misc]simplify: Extracting #5: cost 88 inf + 1248 1554299959.033 * * [misc]simplify: Extracting #6: cost 68 inf + 8549 1554299959.038 * * [misc]simplify: Extracting #7: cost 37 inf + 30449 1554299959.058 * * [misc]simplify: Extracting #8: cost 4 inf + 56253 1554299959.079 * * [misc]simplify: Extracting #9: cost 0 inf + 59464 1554299959.102 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (sqrt (sqrt k))) 1554299959.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299959.103 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299959.103 * * [misc]simplify: iters left: 6 (21 enodes) 1554299959.113 * * [misc]simplify: iters left: 5 (76 enodes) 1554299959.136 * * [misc]simplify: iters left: 4 (101 enodes) 1554299959.168 * * [misc]simplify: iters left: 3 (154 enodes) 1554299959.222 * * [misc]simplify: iters left: 2 (219 enodes) 1554299959.269 * * [misc]simplify: iters left: 1 (316 enodes) 1554299959.420 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299959.421 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299959.421 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299959.422 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299959.423 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299959.424 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299959.425 * * [misc]simplify: Extracting #6: cost 53 inf + 3257 1554299959.429 * * [misc]simplify: Extracting #7: cost 37 inf + 10667 1554299959.437 * * [misc]simplify: Extracting #8: cost 9 inf + 28535 1554299959.449 * * [misc]simplify: Extracting #9: cost 0 inf + 34503 1554299959.461 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299959.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (sqrt (sqrt k))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299959.461 * * * * [misc]progress: [ 316 / 621 ] simplifiying candidate # 1554299959.462 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299959.462 * * [misc]simplify: iters left: 6 (20 enodes) 1554299959.472 * * [misc]simplify: iters left: 5 (70 enodes) 1554299959.495 * * [misc]simplify: iters left: 4 (103 enodes) 1554299959.532 * * [misc]simplify: iters left: 3 (151 enodes) 1554299959.578 * * [misc]simplify: iters left: 2 (259 enodes) 1554299959.637 * * [misc]simplify: iters left: 1 (334 enodes) 1554299959.720 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299959.720 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299959.720 * * [misc]simplify: Extracting #2: cost 41 inf + 1 1554299959.720 * * [misc]simplify: Extracting #3: cost 49 inf + 1 1554299959.720 * * [misc]simplify: Extracting #4: cost 52 inf + 166 1554299959.721 * * [misc]simplify: Extracting #5: cost 49 inf + 291 1554299959.721 * * [misc]simplify: Extracting #6: cost 35 inf + 3644 1554299959.723 * * [misc]simplify: Extracting #7: cost 19 inf + 10526 1554299959.725 * * [misc]simplify: Extracting #8: cost 4 inf + 20311 1554299959.730 * * [misc]simplify: Extracting #9: cost 0 inf + 23280 1554299959.738 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299959.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299959.739 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299959.739 * * [misc]simplify: iters left: 6 (21 enodes) 1554299959.747 * * [misc]simplify: iters left: 5 (76 enodes) 1554299959.759 * * [misc]simplify: iters left: 4 (101 enodes) 1554299959.783 * * [misc]simplify: iters left: 3 (154 enodes) 1554299959.840 * * [misc]simplify: iters left: 2 (219 enodes) 1554299959.903 * * [misc]simplify: iters left: 1 (316 enodes) 1554299960.048 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299960.048 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299960.048 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299960.049 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299960.049 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299960.050 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299960.050 * * [misc]simplify: Extracting #6: cost 53 inf + 3257 1554299960.052 * * [misc]simplify: Extracting #7: cost 37 inf + 10667 1554299960.056 * * [misc]simplify: Extracting #8: cost 9 inf + 27615 1554299960.062 * * [misc]simplify: Extracting #9: cost 0 inf + 33223 1554299960.069 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299960.069 * [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))))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299960.069 * * * * [misc]progress: [ 317 / 621 ] simplifiying candidate # 1554299960.069 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt k)) 1)) 1554299960.069 * * [misc]simplify: iters left: 6 (16 enodes) 1554299960.074 * * [misc]simplify: iters left: 5 (55 enodes) 1554299960.083 * * [misc]simplify: iters left: 4 (80 enodes) 1554299960.100 * * [misc]simplify: iters left: 3 (112 enodes) 1554299960.122 * * [misc]simplify: iters left: 2 (156 enodes) 1554299960.165 * * [misc]simplify: iters left: 1 (184 enodes) 1554299960.199 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299960.199 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299960.199 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299960.199 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299960.199 * * [misc]simplify: Extracting #4: cost 32 inf + 43 1554299960.199 * * [misc]simplify: Extracting #5: cost 27 inf + 413 1554299960.200 * * [misc]simplify: Extracting #6: cost 16 inf + 2446 1554299960.201 * * [misc]simplify: Extracting #7: cost 5 inf + 7257 1554299960.203 * * [misc]simplify: Extracting #8: cost 0 inf + 9809 1554299960.205 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554299960.205 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299960.205 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299960.205 * * [misc]simplify: iters left: 6 (20 enodes) 1554299960.215 * * [misc]simplify: iters left: 5 (73 enodes) 1554299960.237 * * [misc]simplify: iters left: 4 (98 enodes) 1554299960.268 * * [misc]simplify: iters left: 3 (151 enodes) 1554299960.307 * * [misc]simplify: iters left: 2 (216 enodes) 1554299960.368 * * [misc]simplify: iters left: 1 (314 enodes) 1554299960.485 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299960.486 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299960.486 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299960.486 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299960.487 * * [misc]simplify: Extracting #4: cost 68 inf + 495 1554299960.487 * * [misc]simplify: Extracting #5: cost 56 inf + 1899 1554299960.489 * * [misc]simplify: Extracting #6: cost 34 inf + 9984 1554299960.495 * * [misc]simplify: Extracting #7: cost 2 inf + 29866 1554299960.501 * * [misc]simplify: Extracting #8: cost 0 inf + 31357 1554299960.507 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299960.507 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299960.507 * * * * [misc]progress: [ 318 / 621 ] simplifiying candidate # 1554299960.507 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299960.507 * * [misc]simplify: iters left: 6 (19 enodes) 1554299960.512 * * [misc]simplify: iters left: 5 (68 enodes) 1554299960.531 * * [misc]simplify: iters left: 4 (102 enodes) 1554299960.564 * * [misc]simplify: iters left: 3 (150 enodes) 1554299960.625 * * [misc]simplify: iters left: 2 (244 enodes) 1554299960.706 * * [misc]simplify: iters left: 1 (297 enodes) 1554299960.773 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299960.773 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299960.773 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554299960.774 * * [misc]simplify: Extracting #3: cost 38 inf + 1 1554299960.774 * * [misc]simplify: Extracting #4: cost 45 inf + 2 1554299960.774 * * [misc]simplify: Extracting #5: cost 45 inf + 5 1554299960.775 * * [misc]simplify: Extracting #6: cost 27 inf + 3614 1554299960.779 * * [misc]simplify: Extracting #7: cost 2 inf + 19181 1554299960.785 * * [misc]simplify: Extracting #8: cost 0 inf + 20420 1554299960.793 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299960.794 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299960.794 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299960.794 * * [misc]simplify: iters left: 6 (20 enodes) 1554299960.804 * * [misc]simplify: iters left: 5 (73 enodes) 1554299960.825 * * [misc]simplify: iters left: 4 (98 enodes) 1554299960.855 * * [misc]simplify: iters left: 3 (151 enodes) 1554299960.886 * * [misc]simplify: iters left: 2 (216 enodes) 1554299960.964 * * [misc]simplify: iters left: 1 (313 enodes) 1554299961.089 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299961.089 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299961.090 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299961.090 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299961.090 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299961.091 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299961.092 * * [misc]simplify: Extracting #6: cost 43 inf + 7144 1554299961.096 * * [misc]simplify: Extracting #7: cost 8 inf + 28405 1554299961.101 * * [misc]simplify: Extracting #8: cost 0 inf + 33141 1554299961.107 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299961.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299961.107 * * * * [misc]progress: [ 319 / 621 ] simplifiying candidate # 1554299961.108 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299961.108 * * [misc]simplify: iters left: 6 (18 enodes) 1554299961.114 * * [misc]simplify: iters left: 5 (63 enodes) 1554299961.125 * * [misc]simplify: iters left: 4 (89 enodes) 1554299961.150 * * [misc]simplify: iters left: 3 (112 enodes) 1554299961.166 * * [misc]simplify: iters left: 2 (142 enodes) 1554299961.198 * * [misc]simplify: iters left: 1 (147 enodes) 1554299961.230 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299961.230 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299961.230 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299961.230 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299961.231 * * [misc]simplify: Extracting #4: cost 33 inf + 2 1554299961.231 * * [misc]simplify: Extracting #5: cost 33 inf + 5 1554299961.231 * * [misc]simplify: Extracting #6: cost 27 inf + 255 1554299961.232 * * [misc]simplify: Extracting #7: cost 14 inf + 3745 1554299961.234 * * [misc]simplify: Extracting #8: cost 0 inf + 11762 1554299961.237 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (/ (- k) 2)))) 1554299961.238 * [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 (/ (- k) 2)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299961.238 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299961.238 * * [misc]simplify: iters left: 6 (20 enodes) 1554299961.248 * * [misc]simplify: iters left: 5 (73 enodes) 1554299961.262 * * [misc]simplify: iters left: 4 (98 enodes) 1554299961.277 * * [misc]simplify: iters left: 3 (151 enodes) 1554299961.303 * * [misc]simplify: iters left: 2 (216 enodes) 1554299961.345 * * [misc]simplify: iters left: 1 (313 enodes) 1554299961.424 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299961.424 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299961.424 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299961.424 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299961.425 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299961.425 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299961.426 * * [misc]simplify: Extracting #6: cost 43 inf + 7064 1554299961.430 * * [misc]simplify: Extracting #7: cost 8 inf + 27325 1554299961.438 * * [misc]simplify: Extracting #8: cost 0 inf + 31861 1554299961.445 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299961.445 * [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))))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299961.445 * * * * [misc]progress: [ 320 / 621 ] simplifiying candidate # 1554299961.445 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 1)) 1554299961.446 * * [misc]simplify: iters left: 6 (14 enodes) 1554299961.450 * * [misc]simplify: iters left: 5 (45 enodes) 1554299961.457 * * [misc]simplify: iters left: 4 (58 enodes) 1554299961.472 * * [misc]simplify: iters left: 3 (61 enodes) 1554299961.488 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299961.488 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299961.488 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299961.488 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299961.488 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299961.488 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554299961.489 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554299961.489 * * [misc]simplify: Extracting #7: cost 8 inf + 837 1554299961.490 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554299961.491 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554299961.492 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299961.492 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299961.492 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299961.492 * * [misc]simplify: iters left: 6 (19 enodes) 1554299961.502 * * [misc]simplify: iters left: 5 (70 enodes) 1554299961.523 * * [misc]simplify: iters left: 4 (95 enodes) 1554299961.553 * * [misc]simplify: iters left: 3 (148 enodes) 1554299961.605 * * [misc]simplify: iters left: 2 (213 enodes) 1554299961.659 * * [misc]simplify: iters left: 1 (312 enodes) 1554299961.748 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299961.748 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299961.748 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299961.748 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299961.749 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299961.749 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299961.751 * * [misc]simplify: Extracting #6: cost 32 inf + 10668 1554299961.755 * * [misc]simplify: Extracting #7: cost 4 inf + 27474 1554299961.764 * * [misc]simplify: Extracting #8: cost 0 inf + 29995 1554299961.775 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299961.775 * [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))))) (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299961.776 * * * * [misc]progress: [ 321 / 621 ] simplifiying candidate # 1554299961.776 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1) 1554299961.776 * * [misc]simplify: iters left: 6 (13 enodes) 1554299961.782 * * [misc]simplify: iters left: 5 (42 enodes) 1554299961.789 * * [misc]simplify: iters left: 4 (57 enodes) 1554299961.797 * * [misc]simplify: iters left: 3 (60 enodes) 1554299961.805 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299961.805 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299961.805 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299961.805 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299961.805 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299961.805 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554299961.805 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554299961.805 * * [misc]simplify: Extracting #7: cost 7 inf + 919 1554299961.806 * * [misc]simplify: Extracting #8: cost 1 inf + 3444 1554299961.806 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554299961.807 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299961.807 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299961.807 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299961.807 * * [misc]simplify: iters left: 6 (19 enodes) 1554299961.815 * * [misc]simplify: iters left: 5 (70 enodes) 1554299961.841 * * [misc]simplify: iters left: 4 (95 enodes) 1554299961.871 * * [misc]simplify: iters left: 3 (148 enodes) 1554299961.908 * * [misc]simplify: iters left: 2 (213 enodes) 1554299961.960 * * [misc]simplify: iters left: 1 (312 enodes) 1554299962.051 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.051 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299962.051 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299962.052 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299962.052 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299962.053 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299962.054 * * [misc]simplify: Extracting #6: cost 32 inf + 10668 1554299962.058 * * [misc]simplify: Extracting #7: cost 4 inf + 27474 1554299962.063 * * [misc]simplify: Extracting #8: cost 0 inf + 29995 1554299962.073 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299962.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299962.073 * * * * [misc]progress: [ 322 / 621 ] simplifiying candidate # 1554299962.074 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (sqrt k)) 1554299962.074 * * [misc]simplify: iters left: 6 (14 enodes) 1554299962.081 * * [misc]simplify: iters left: 5 (49 enodes) 1554299962.097 * * [misc]simplify: iters left: 4 (72 enodes) 1554299962.122 * * [misc]simplify: iters left: 3 (89 enodes) 1554299962.136 * * [misc]simplify: iters left: 2 (103 enodes) 1554299962.151 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.151 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299962.151 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299962.151 * * [misc]simplify: Extracting #3: cost 17 inf + 43 1554299962.151 * * [misc]simplify: Extracting #4: cost 23 inf + 84 1554299962.151 * * [misc]simplify: Extracting #5: cost 22 inf + 129 1554299962.152 * * [misc]simplify: Extracting #6: cost 11 inf + 2655 1554299962.153 * * [misc]simplify: Extracting #7: cost 1 inf + 6491 1554299962.153 * * [misc]simplify: Extracting #8: cost 0 inf + 7025 1554299962.154 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299962.154 * [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))) (/ 1 (pow PI (- (/ k 2))))))) 1554299962.155 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299962.155 * * [misc]simplify: iters left: 6 (18 enodes) 1554299962.159 * * [misc]simplify: iters left: 5 (67 enodes) 1554299962.170 * * [misc]simplify: iters left: 4 (83 enodes) 1554299962.183 * * [misc]simplify: iters left: 3 (101 enodes) 1554299962.199 * * [misc]simplify: iters left: 2 (124 enodes) 1554299962.218 * * [misc]simplify: iters left: 1 (138 enodes) 1554299962.247 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.247 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299962.248 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299962.248 * * [misc]simplify: Extracting #3: cost 30 inf + 167 1554299962.248 * * [misc]simplify: Extracting #4: cost 34 inf + 250 1554299962.249 * * [misc]simplify: Extracting #5: cost 29 inf + 376 1554299962.250 * * [misc]simplify: Extracting #6: cost 14 inf + 5110 1554299962.253 * * [misc]simplify: Extracting #7: cost 1 inf + 10323 1554299962.254 * * [misc]simplify: Extracting #8: cost 0 inf + 11108 1554299962.256 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299962.256 * [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)))))) (* (pow PI (- (/ k 2))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299962.256 * * * * [misc]progress: [ 323 / 621 ] simplifiying candidate # 1554299962.256 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt k) 1)) 1554299962.256 * * [misc]simplify: iters left: 6 (15 enodes) 1554299962.260 * * [misc]simplify: iters left: 5 (52 enodes) 1554299962.269 * * [misc]simplify: iters left: 4 (77 enodes) 1554299962.283 * * [misc]simplify: iters left: 3 (109 enodes) 1554299962.323 * * [misc]simplify: iters left: 2 (151 enodes) 1554299962.379 * * [misc]simplify: iters left: 1 (179 enodes) 1554299962.409 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.409 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299962.409 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299962.409 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1554299962.409 * * [misc]simplify: Extracting #4: cost 28 inf + 166 1554299962.410 * * [misc]simplify: Extracting #5: cost 26 inf + 293 1554299962.410 * * [misc]simplify: Extracting #6: cost 15 inf + 2366 1554299962.412 * * [misc]simplify: Extracting #7: cost 3 inf + 7763 1554299962.414 * * [misc]simplify: Extracting #8: cost 1 inf + 8752 1554299962.415 * * [misc]simplify: Extracting #9: cost 0 inf + 9247 1554299962.417 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299962.417 * [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))) (pow PI (/ k 2))))) 1554299962.418 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299962.418 * * [misc]simplify: iters left: 6 (16 enodes) 1554299962.422 * * [misc]simplify: iters left: 5 (58 enodes) 1554299962.431 * * [misc]simplify: iters left: 4 (75 enodes) 1554299962.443 * * [misc]simplify: iters left: 3 (93 enodes) 1554299962.456 * * [misc]simplify: iters left: 2 (101 enodes) 1554299962.472 * * [misc]simplify: iters left: 1 (112 enodes) 1554299962.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.489 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299962.489 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299962.489 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299962.489 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299962.490 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299962.490 * * [misc]simplify: Extracting #6: cost 9 inf + 5616 1554299962.492 * * [misc]simplify: Extracting #7: cost 1 inf + 9761 1554299962.493 * * [misc]simplify: Extracting #8: cost 0 inf + 10216 1554299962.496 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299962.496 * [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)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299962.496 * * * * [misc]progress: [ 324 / 621 ] simplifiying candidate # 1554299962.496 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow PI 0))) 1554299962.497 * * [misc]simplify: iters left: 6 (18 enodes) 1554299962.506 * * [misc]simplify: iters left: 5 (60 enodes) 1554299962.527 * * [misc]simplify: iters left: 4 (81 enodes) 1554299962.551 * * [misc]simplify: iters left: 3 (110 enodes) 1554299962.585 * * [misc]simplify: iters left: 2 (138 enodes) 1554299962.625 * * [misc]simplify: iters left: 1 (161 enodes) 1554299962.659 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.660 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299962.660 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299962.660 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1554299962.660 * * [misc]simplify: Extracting #4: cost 28 inf + 166 1554299962.660 * * [misc]simplify: Extracting #5: cost 26 inf + 293 1554299962.661 * * [misc]simplify: Extracting #6: cost 15 inf + 2446 1554299962.662 * * [misc]simplify: Extracting #7: cost 3 inf + 7764 1554299962.664 * * [misc]simplify: Extracting #8: cost 0 inf + 9247 1554299962.666 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299962.666 * [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))) (pow PI (/ k 2))))) 1554299962.666 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299962.666 * * [misc]simplify: iters left: 6 (16 enodes) 1554299962.670 * * [misc]simplify: iters left: 5 (58 enodes) 1554299962.679 * * [misc]simplify: iters left: 4 (75 enodes) 1554299962.693 * * [misc]simplify: iters left: 3 (93 enodes) 1554299962.710 * * [misc]simplify: iters left: 2 (101 enodes) 1554299962.737 * * [misc]simplify: iters left: 1 (112 enodes) 1554299962.753 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.754 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299962.754 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299962.754 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299962.754 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299962.754 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299962.755 * * [misc]simplify: Extracting #6: cost 9 inf + 5616 1554299962.756 * * [misc]simplify: Extracting #7: cost 1 inf + 9761 1554299962.757 * * [misc]simplify: Extracting #8: cost 0 inf + 10216 1554299962.759 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299962.759 * [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))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299962.759 * * * * [misc]progress: [ 325 / 621 ] simplifiying candidate # 1554299962.759 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299962.759 * * [misc]simplify: iters left: 6 (20 enodes) 1554299962.764 * * [misc]simplify: iters left: 5 (70 enodes) 1554299962.780 * * [misc]simplify: iters left: 4 (102 enodes) 1554299962.814 * * [misc]simplify: iters left: 3 (140 enodes) 1554299962.856 * * [misc]simplify: iters left: 2 (189 enodes) 1554299962.906 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299962.906 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299962.906 * * [misc]simplify: Extracting #2: cost 24 inf + 1 1554299962.906 * * [misc]simplify: Extracting #3: cost 30 inf + 1 1554299962.906 * * [misc]simplify: Extracting #4: cost 41 inf + 1 1554299962.907 * * [misc]simplify: Extracting #5: cost 38 inf + 48 1554299962.907 * * [misc]simplify: Extracting #6: cost 23 inf + 3000 1554299962.908 * * [misc]simplify: Extracting #7: cost 15 inf + 6218 1554299962.909 * * [misc]simplify: Extracting #8: cost 1 inf + 17493 1554299962.912 * * [misc]simplify: Extracting #9: cost 0 inf + 17906 1554299962.914 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299962.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299962.914 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299962.914 * * [misc]simplify: iters left: 6 (20 enodes) 1554299962.921 * * [misc]simplify: iters left: 5 (71 enodes) 1554299962.939 * * [misc]simplify: iters left: 4 (86 enodes) 1554299962.963 * * [misc]simplify: iters left: 3 (102 enodes) 1554299962.992 * * [misc]simplify: iters left: 2 (110 enodes) 1554299963.021 * * [misc]simplify: iters left: 1 (121 enodes) 1554299963.048 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299963.048 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299963.049 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299963.049 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299963.049 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299963.049 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299963.049 * * [misc]simplify: Extracting #6: cost 20 inf + 3116 1554299963.050 * * [misc]simplify: Extracting #7: cost 13 inf + 5269 1554299963.051 * * [misc]simplify: Extracting #8: cost 8 inf + 7946 1554299963.052 * * [misc]simplify: Extracting #9: cost 0 inf + 14030 1554299963.055 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299963.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299963.056 * * * * [misc]progress: [ 326 / 621 ] simplifiying candidate # 1554299963.056 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299963.056 * * [misc]simplify: iters left: 6 (19 enodes) 1554299963.061 * * [misc]simplify: iters left: 5 (65 enodes) 1554299963.072 * * [misc]simplify: iters left: 4 (86 enodes) 1554299963.089 * * [misc]simplify: iters left: 3 (101 enodes) 1554299963.116 * * [misc]simplify: iters left: 2 (115 enodes) 1554299963.137 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299963.137 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299963.137 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299963.137 * * [misc]simplify: Extracting #3: cost 22 inf + 1 1554299963.137 * * [misc]simplify: Extracting #4: cost 33 inf + 1 1554299963.137 * * [misc]simplify: Extracting #5: cost 29 inf + 89 1554299963.138 * * [misc]simplify: Extracting #6: cost 16 inf + 2375 1554299963.138 * * [misc]simplify: Extracting #7: cost 5 inf + 7336 1554299963.140 * * [misc]simplify: Extracting #8: cost 1 inf + 10305 1554299963.141 * * [misc]simplify: Extracting #9: cost 0 inf + 11170 1554299963.142 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299963.142 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299963.143 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299963.143 * * [misc]simplify: iters left: 6 (20 enodes) 1554299963.148 * * [misc]simplify: iters left: 5 (71 enodes) 1554299963.163 * * [misc]simplify: iters left: 4 (86 enodes) 1554299963.188 * * [misc]simplify: iters left: 3 (102 enodes) 1554299963.218 * * [misc]simplify: iters left: 2 (110 enodes) 1554299963.248 * * [misc]simplify: iters left: 1 (121 enodes) 1554299963.280 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299963.280 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299963.281 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299963.281 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299963.281 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299963.281 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299963.282 * * [misc]simplify: Extracting #6: cost 20 inf + 3116 1554299963.284 * * [misc]simplify: Extracting #7: cost 13 inf + 5269 1554299963.285 * * [misc]simplify: Extracting #8: cost 8 inf + 7786 1554299963.289 * * [misc]simplify: Extracting #9: cost 0 inf + 13550 1554299963.293 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299963.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299963.293 * * * * [misc]progress: [ 327 / 621 ] simplifiying candidate # 1554299963.293 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299963.294 * * [misc]simplify: iters left: 6 (22 enodes) 1554299963.304 * * [misc]simplify: iters left: 5 (82 enodes) 1554299963.335 * * [misc]simplify: iters left: 4 (149 enodes) 1554299963.396 * * [misc]simplify: iters left: 3 (318 enodes) 1554299963.563 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299963.563 * * [misc]simplify: Extracting #1: cost 77 inf + 0 1554299963.564 * * [misc]simplify: Extracting #2: cost 177 inf + 1 1554299963.565 * * [misc]simplify: Extracting #3: cost 185 inf + 1 1554299963.566 * * [misc]simplify: Extracting #4: cost 186 inf + 488 1554299963.568 * * [misc]simplify: Extracting #5: cost 155 inf + 12300 1554299963.572 * * [misc]simplify: Extracting #6: cost 118 inf + 32083 1554299963.587 * * [misc]simplify: Extracting #7: cost 54 inf + 84081 1554299963.617 * * [misc]simplify: Extracting #8: cost 4 inf + 129608 1554299963.636 * * [misc]simplify: Extracting #9: cost 0 inf + 133668 1554299963.672 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k)))) 1554299963.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (/ (- k) 2)))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299963.673 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299963.673 * * [misc]simplify: iters left: 6 (21 enodes) 1554299963.684 * * [misc]simplify: iters left: 5 (76 enodes) 1554299963.706 * * [misc]simplify: iters left: 4 (101 enodes) 1554299963.740 * * [misc]simplify: iters left: 3 (154 enodes) 1554299963.785 * * [misc]simplify: iters left: 2 (219 enodes) 1554299963.845 * * [misc]simplify: iters left: 1 (316 enodes) 1554299963.949 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299963.949 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299963.949 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299963.950 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299963.950 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299963.951 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299963.951 * * [misc]simplify: Extracting #6: cost 53 inf + 3497 1554299963.953 * * [misc]simplify: Extracting #7: cost 37 inf + 11227 1554299963.957 * * [misc]simplify: Extracting #8: cost 9 inf + 29655 1554299963.963 * * [misc]simplify: Extracting #9: cost 0 inf + 35783 1554299963.969 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299963.969 * [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))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299963.970 * * * * [misc]progress: [ 328 / 621 ] simplifiying candidate # 1554299963.970 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299963.970 * * [misc]simplify: iters left: 6 (21 enodes) 1554299963.976 * * [misc]simplify: iters left: 5 (75 enodes) 1554299963.992 * * [misc]simplify: iters left: 4 (119 enodes) 1554299964.038 * * [misc]simplify: iters left: 3 (217 enodes) 1554299964.154 * * [misc]simplify: iters left: 2 (495 enodes) 1554299964.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299964.399 * * [misc]simplify: Extracting #1: cost 38 inf + 0 1554299964.399 * * [misc]simplify: Extracting #2: cost 75 inf + 1 1554299964.400 * * [misc]simplify: Extracting #3: cost 84 inf + 1 1554299964.400 * * [misc]simplify: Extracting #4: cost 90 inf + 3 1554299964.401 * * [misc]simplify: Extracting #5: cost 75 inf + 1733 1554299964.402 * * [misc]simplify: Extracting #6: cost 52 inf + 12569 1554299964.406 * * [misc]simplify: Extracting #7: cost 29 inf + 27388 1554299964.414 * * [misc]simplify: Extracting #8: cost 2 inf + 46902 1554299964.424 * * [misc]simplify: Extracting #9: cost 0 inf + 48674 1554299964.437 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299964.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ 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 (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299964.437 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299964.438 * * [misc]simplify: iters left: 6 (21 enodes) 1554299964.448 * * [misc]simplify: iters left: 5 (76 enodes) 1554299964.465 * * [misc]simplify: iters left: 4 (101 enodes) 1554299964.482 * * [misc]simplify: iters left: 3 (154 enodes) 1554299964.518 * * [misc]simplify: iters left: 2 (219 enodes) 1554299964.596 * * [misc]simplify: iters left: 1 (316 enodes) 1554299964.693 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299964.693 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299964.693 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299964.694 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299964.695 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299964.696 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299964.697 * * [misc]simplify: Extracting #6: cost 53 inf + 3497 1554299964.701 * * [misc]simplify: Extracting #7: cost 37 inf + 11227 1554299964.709 * * [misc]simplify: Extracting #8: cost 9 inf + 28735 1554299964.721 * * [misc]simplify: Extracting #9: cost 0 inf + 34503 1554299964.733 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299964.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ 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 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299964.734 * * * * [misc]progress: [ 329 / 621 ] simplifiying candidate # 1554299964.734 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299964.734 * * [misc]simplify: iters left: 6 (17 enodes) 1554299964.742 * * [misc]simplify: iters left: 5 (60 enodes) 1554299964.753 * * [misc]simplify: iters left: 4 (100 enodes) 1554299964.777 * * [misc]simplify: iters left: 3 (181 enodes) 1554299964.830 * * [misc]simplify: iters left: 2 (278 enodes) 1554299964.933 * * [misc]simplify: iters left: 1 (429 enodes) 1554299965.726 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299965.726 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299965.726 * * [misc]simplify: Extracting #2: cost 34 inf + 1 1554299965.726 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1554299965.726 * * [misc]simplify: Extracting #4: cost 43 inf + 164 1554299965.727 * * [misc]simplify: Extracting #5: cost 37 inf + 1016 1554299965.727 * * [misc]simplify: Extracting #6: cost 29 inf + 2005 1554299965.728 * * [misc]simplify: Extracting #7: cost 18 inf + 5831 1554299965.731 * * [misc]simplify: Extracting #8: cost 2 inf + 14699 1554299965.735 * * [misc]simplify: Extracting #9: cost 0 inf + 15927 1554299965.739 * [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)))) 1554299965.739 * [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)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299965.739 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299965.739 * * [misc]simplify: iters left: 6 (20 enodes) 1554299965.745 * * [misc]simplify: iters left: 5 (73 enodes) 1554299965.756 * * [misc]simplify: iters left: 4 (98 enodes) 1554299965.778 * * [misc]simplify: iters left: 3 (151 enodes) 1554299965.814 * * [misc]simplify: iters left: 2 (216 enodes) 1554299965.881 * * [misc]simplify: iters left: 1 (314 enodes) 1554299965.984 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299965.984 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299965.985 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299965.985 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299965.986 * * [misc]simplify: Extracting #4: cost 68 inf + 575 1554299965.986 * * [misc]simplify: Extracting #5: cost 56 inf + 2099 1554299965.988 * * [misc]simplify: Extracting #6: cost 34 inf + 10584 1554299965.992 * * [misc]simplify: Extracting #7: cost 2 inf + 31146 1554299965.998 * * [misc]simplify: Extracting #8: cost 0 inf + 32637 1554299966.003 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299966.003 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299966.004 * * * * [misc]progress: [ 330 / 621 ] simplifiying candidate # 1554299966.004 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299966.004 * * [misc]simplify: iters left: 6 (21 enodes) 1554299966.009 * * [misc]simplify: iters left: 5 (75 enodes) 1554299966.021 * * [misc]simplify: iters left: 4 (116 enodes) 1554299966.056 * * [misc]simplify: iters left: 3 (189 enodes) 1554299966.130 * * [misc]simplify: iters left: 2 (398 enodes) 1554299966.333 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299966.333 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299966.333 * * [misc]simplify: Extracting #2: cost 86 inf + 1 1554299966.334 * * [misc]simplify: Extracting #3: cost 94 inf + 1 1554299966.334 * * [misc]simplify: Extracting #4: cost 100 inf + 3 1554299966.335 * * [misc]simplify: Extracting #5: cost 88 inf + 1248 1554299966.336 * * [misc]simplify: Extracting #6: cost 68 inf + 8549 1554299966.340 * * [misc]simplify: Extracting #7: cost 37 inf + 30449 1554299966.350 * * [misc]simplify: Extracting #8: cost 4 inf + 56253 1554299966.361 * * [misc]simplify: Extracting #9: cost 0 inf + 59464 1554299966.372 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (sqrt (sqrt k))) 1554299966.372 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299966.372 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299966.373 * * [misc]simplify: iters left: 6 (21 enodes) 1554299966.378 * * [misc]simplify: iters left: 5 (76 enodes) 1554299966.392 * * [misc]simplify: iters left: 4 (101 enodes) 1554299966.410 * * [misc]simplify: iters left: 3 (154 enodes) 1554299966.436 * * [misc]simplify: iters left: 2 (219 enodes) 1554299966.483 * * [misc]simplify: iters left: 1 (316 enodes) 1554299966.638 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299966.638 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299966.638 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299966.639 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299966.639 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299966.640 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299966.640 * * [misc]simplify: Extracting #6: cost 53 inf + 3257 1554299966.642 * * [misc]simplify: Extracting #7: cost 37 inf + 10667 1554299966.646 * * [misc]simplify: Extracting #8: cost 9 inf + 28535 1554299966.652 * * [misc]simplify: Extracting #9: cost 0 inf + 34503 1554299966.659 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299966.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (sqrt (sqrt k))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299966.659 * * * * [misc]progress: [ 331 / 621 ] simplifiying candidate # 1554299966.659 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299966.659 * * [misc]simplify: iters left: 6 (20 enodes) 1554299966.664 * * [misc]simplify: iters left: 5 (70 enodes) 1554299966.685 * * [misc]simplify: iters left: 4 (103 enodes) 1554299966.718 * * [misc]simplify: iters left: 3 (151 enodes) 1554299966.751 * * [misc]simplify: iters left: 2 (259 enodes) 1554299966.836 * * [misc]simplify: iters left: 1 (334 enodes) 1554299966.954 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299966.954 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299966.955 * * [misc]simplify: Extracting #2: cost 41 inf + 1 1554299966.955 * * [misc]simplify: Extracting #3: cost 49 inf + 1 1554299966.956 * * [misc]simplify: Extracting #4: cost 52 inf + 166 1554299966.956 * * [misc]simplify: Extracting #5: cost 49 inf + 291 1554299966.957 * * [misc]simplify: Extracting #6: cost 35 inf + 3644 1554299966.960 * * [misc]simplify: Extracting #7: cost 19 inf + 10526 1554299966.966 * * [misc]simplify: Extracting #8: cost 4 inf + 20311 1554299966.974 * * [misc]simplify: Extracting #9: cost 0 inf + 23280 1554299966.983 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299966.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299966.984 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299966.984 * * [misc]simplify: iters left: 6 (21 enodes) 1554299966.994 * * [misc]simplify: iters left: 5 (76 enodes) 1554299967.021 * * [misc]simplify: iters left: 4 (101 enodes) 1554299967.053 * * [misc]simplify: iters left: 3 (154 enodes) 1554299967.103 * * [misc]simplify: iters left: 2 (219 enodes) 1554299967.173 * * [misc]simplify: iters left: 1 (316 enodes) 1554299967.275 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299967.275 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299967.275 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299967.275 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299967.276 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299967.276 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299967.277 * * [misc]simplify: Extracting #6: cost 53 inf + 3257 1554299967.279 * * [misc]simplify: Extracting #7: cost 37 inf + 10667 1554299967.283 * * [misc]simplify: Extracting #8: cost 9 inf + 27615 1554299967.290 * * [misc]simplify: Extracting #9: cost 0 inf + 33223 1554299967.302 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299967.302 * [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))))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299967.302 * * * * [misc]progress: [ 332 / 621 ] simplifiying candidate # 1554299967.303 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt (sqrt k)) 1)) 1554299967.303 * * [misc]simplify: iters left: 6 (16 enodes) 1554299967.311 * * [misc]simplify: iters left: 5 (55 enodes) 1554299967.326 * * [misc]simplify: iters left: 4 (80 enodes) 1554299967.340 * * [misc]simplify: iters left: 3 (112 enodes) 1554299967.374 * * [misc]simplify: iters left: 2 (156 enodes) 1554299967.415 * * [misc]simplify: iters left: 1 (184 enodes) 1554299967.450 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299967.450 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299967.450 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299967.450 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299967.451 * * [misc]simplify: Extracting #4: cost 32 inf + 43 1554299967.451 * * [misc]simplify: Extracting #5: cost 27 inf + 413 1554299967.451 * * [misc]simplify: Extracting #6: cost 16 inf + 2446 1554299967.452 * * [misc]simplify: Extracting #7: cost 5 inf + 7257 1554299967.454 * * [misc]simplify: Extracting #8: cost 0 inf + 9809 1554299967.456 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1554299967.456 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299967.457 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299967.457 * * [misc]simplify: iters left: 6 (20 enodes) 1554299967.462 * * [misc]simplify: iters left: 5 (73 enodes) 1554299967.480 * * [misc]simplify: iters left: 4 (98 enodes) 1554299967.502 * * [misc]simplify: iters left: 3 (151 enodes) 1554299967.539 * * [misc]simplify: iters left: 2 (216 enodes) 1554299967.591 * * [misc]simplify: iters left: 1 (314 enodes) 1554299967.684 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299967.684 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299967.684 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299967.685 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299967.685 * * [misc]simplify: Extracting #4: cost 68 inf + 495 1554299967.686 * * [misc]simplify: Extracting #5: cost 56 inf + 1899 1554299967.689 * * [misc]simplify: Extracting #6: cost 34 inf + 9984 1554299967.698 * * [misc]simplify: Extracting #7: cost 2 inf + 29866 1554299967.709 * * [misc]simplify: Extracting #8: cost 0 inf + 31357 1554299967.721 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299967.721 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299967.721 * * * * [misc]progress: [ 333 / 621 ] simplifiying candidate # 1554299967.722 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299967.722 * * [misc]simplify: iters left: 6 (19 enodes) 1554299967.732 * * [misc]simplify: iters left: 5 (68 enodes) 1554299967.752 * * [misc]simplify: iters left: 4 (102 enodes) 1554299967.787 * * [misc]simplify: iters left: 3 (150 enodes) 1554299967.847 * * [misc]simplify: iters left: 2 (244 enodes) 1554299967.917 * * [misc]simplify: iters left: 1 (297 enodes) 1554299967.998 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299967.998 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299967.998 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554299967.998 * * [misc]simplify: Extracting #3: cost 38 inf + 1 1554299967.998 * * [misc]simplify: Extracting #4: cost 45 inf + 2 1554299967.999 * * [misc]simplify: Extracting #5: cost 45 inf + 5 1554299967.999 * * [misc]simplify: Extracting #6: cost 27 inf + 3614 1554299968.001 * * [misc]simplify: Extracting #7: cost 2 inf + 19181 1554299968.004 * * [misc]simplify: Extracting #8: cost 0 inf + 20420 1554299968.008 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299968.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299968.008 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299968.008 * * [misc]simplify: iters left: 6 (20 enodes) 1554299968.013 * * [misc]simplify: iters left: 5 (73 enodes) 1554299968.035 * * [misc]simplify: iters left: 4 (98 enodes) 1554299968.051 * * [misc]simplify: iters left: 3 (151 enodes) 1554299968.086 * * [misc]simplify: iters left: 2 (216 enodes) 1554299968.140 * * [misc]simplify: iters left: 1 (313 enodes) 1554299968.231 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299968.231 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299968.231 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299968.232 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299968.232 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299968.232 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299968.233 * * [misc]simplify: Extracting #6: cost 43 inf + 7144 1554299968.237 * * [misc]simplify: Extracting #7: cost 8 inf + 28405 1554299968.249 * * [misc]simplify: Extracting #8: cost 0 inf + 33141 1554299968.260 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299968.260 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299968.261 * * * * [misc]progress: [ 334 / 621 ] simplifiying candidate # 1554299968.261 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299968.261 * * [misc]simplify: iters left: 6 (18 enodes) 1554299968.270 * * [misc]simplify: iters left: 5 (63 enodes) 1554299968.289 * * [misc]simplify: iters left: 4 (89 enodes) 1554299968.317 * * [misc]simplify: iters left: 3 (112 enodes) 1554299968.348 * * [misc]simplify: iters left: 2 (142 enodes) 1554299968.386 * * [misc]simplify: iters left: 1 (147 enodes) 1554299968.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299968.399 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299968.399 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299968.399 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299968.399 * * [misc]simplify: Extracting #4: cost 33 inf + 2 1554299968.400 * * [misc]simplify: Extracting #5: cost 33 inf + 5 1554299968.400 * * [misc]simplify: Extracting #6: cost 27 inf + 255 1554299968.400 * * [misc]simplify: Extracting #7: cost 14 inf + 3745 1554299968.401 * * [misc]simplify: Extracting #8: cost 0 inf + 11762 1554299968.403 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (/ (- k) 2)))) 1554299968.403 * [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 (/ (- k) 2)))) (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299968.403 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299968.403 * * [misc]simplify: iters left: 6 (20 enodes) 1554299968.411 * * [misc]simplify: iters left: 5 (73 enodes) 1554299968.433 * * [misc]simplify: iters left: 4 (98 enodes) 1554299968.448 * * [misc]simplify: iters left: 3 (151 enodes) 1554299968.482 * * [misc]simplify: iters left: 2 (216 enodes) 1554299968.541 * * [misc]simplify: iters left: 1 (313 enodes) 1554299968.654 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299968.654 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299968.655 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299968.656 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299968.657 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299968.658 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299968.660 * * [misc]simplify: Extracting #6: cost 43 inf + 7064 1554299968.667 * * [misc]simplify: Extracting #7: cost 8 inf + 27325 1554299968.679 * * [misc]simplify: Extracting #8: cost 0 inf + 31861 1554299968.691 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299968.691 * [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))))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299968.691 * * * * [misc]progress: [ 335 / 621 ] simplifiying candidate # 1554299968.692 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ 1 1)) 1554299968.692 * * [misc]simplify: iters left: 6 (14 enodes) 1554299968.700 * * [misc]simplify: iters left: 5 (45 enodes) 1554299968.713 * * [misc]simplify: iters left: 4 (58 enodes) 1554299968.729 * * [misc]simplify: iters left: 3 (61 enodes) 1554299968.744 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299968.744 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299968.744 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299968.744 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299968.744 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299968.744 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554299968.744 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554299968.744 * * [misc]simplify: Extracting #7: cost 8 inf + 837 1554299968.745 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554299968.746 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554299968.747 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299968.747 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299968.748 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299968.748 * * [misc]simplify: iters left: 6 (19 enodes) 1554299968.757 * * [misc]simplify: iters left: 5 (70 enodes) 1554299968.781 * * [misc]simplify: iters left: 4 (95 enodes) 1554299968.797 * * [misc]simplify: iters left: 3 (148 enodes) 1554299968.826 * * [misc]simplify: iters left: 2 (213 enodes) 1554299968.887 * * [misc]simplify: iters left: 1 (312 enodes) 1554299968.997 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299968.998 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299968.998 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299968.998 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299968.999 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299968.999 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299969.000 * * [misc]simplify: Extracting #6: cost 32 inf + 10668 1554299969.004 * * [misc]simplify: Extracting #7: cost 4 inf + 27474 1554299969.010 * * [misc]simplify: Extracting #8: cost 0 inf + 29995 1554299969.015 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299969.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299969.015 * * * * [misc]progress: [ 336 / 621 ] simplifiying candidate # 1554299969.016 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1) 1554299969.016 * * [misc]simplify: iters left: 6 (13 enodes) 1554299969.019 * * [misc]simplify: iters left: 5 (42 enodes) 1554299969.026 * * [misc]simplify: iters left: 4 (57 enodes) 1554299969.035 * * [misc]simplify: iters left: 3 (60 enodes) 1554299969.046 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.046 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299969.046 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554299969.046 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554299969.046 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554299969.047 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554299969.047 * * [misc]simplify: Extracting #6: cost 14 inf + 172 1554299969.047 * * [misc]simplify: Extracting #7: cost 7 inf + 919 1554299969.047 * * [misc]simplify: Extracting #8: cost 1 inf + 3444 1554299969.048 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554299969.048 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299969.048 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299969.048 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299969.049 * * [misc]simplify: iters left: 6 (19 enodes) 1554299969.054 * * [misc]simplify: iters left: 5 (70 enodes) 1554299969.065 * * [misc]simplify: iters left: 4 (95 enodes) 1554299969.083 * * [misc]simplify: iters left: 3 (148 enodes) 1554299969.132 * * [misc]simplify: iters left: 2 (213 enodes) 1554299969.200 * * [misc]simplify: iters left: 1 (312 enodes) 1554299969.292 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.292 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299969.292 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299969.293 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299969.293 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299969.294 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299969.295 * * [misc]simplify: Extracting #6: cost 32 inf + 10668 1554299969.299 * * [misc]simplify: Extracting #7: cost 4 inf + 27474 1554299969.310 * * [misc]simplify: Extracting #8: cost 0 inf + 29995 1554299969.321 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299969.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt PI) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299969.321 * * * * [misc]progress: [ 337 / 621 ] simplifiying candidate # 1554299969.322 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (sqrt k)) 1554299969.322 * * [misc]simplify: iters left: 6 (14 enodes) 1554299969.329 * * [misc]simplify: iters left: 5 (49 enodes) 1554299969.341 * * [misc]simplify: iters left: 4 (72 enodes) 1554299969.352 * * [misc]simplify: iters left: 3 (89 enodes) 1554299969.364 * * [misc]simplify: iters left: 2 (103 enodes) 1554299969.387 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.387 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299969.387 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299969.387 * * [misc]simplify: Extracting #3: cost 17 inf + 43 1554299969.387 * * [misc]simplify: Extracting #4: cost 23 inf + 84 1554299969.387 * * [misc]simplify: Extracting #5: cost 22 inf + 129 1554299969.387 * * [misc]simplify: Extracting #6: cost 11 inf + 2655 1554299969.388 * * [misc]simplify: Extracting #7: cost 1 inf + 6491 1554299969.389 * * [misc]simplify: Extracting #8: cost 0 inf + 7025 1554299969.390 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299969.390 * [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))) (/ 1 (pow PI (- (/ k 2))))))) 1554299969.390 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299969.391 * * [misc]simplify: iters left: 6 (18 enodes) 1554299969.395 * * [misc]simplify: iters left: 5 (67 enodes) 1554299969.405 * * [misc]simplify: iters left: 4 (83 enodes) 1554299969.420 * * [misc]simplify: iters left: 3 (101 enodes) 1554299969.447 * * [misc]simplify: iters left: 2 (124 enodes) 1554299969.475 * * [misc]simplify: iters left: 1 (138 enodes) 1554299969.493 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.494 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299969.494 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299969.494 * * [misc]simplify: Extracting #3: cost 30 inf + 167 1554299969.494 * * [misc]simplify: Extracting #4: cost 34 inf + 250 1554299969.494 * * [misc]simplify: Extracting #5: cost 29 inf + 376 1554299969.495 * * [misc]simplify: Extracting #6: cost 14 inf + 5110 1554299969.496 * * [misc]simplify: Extracting #7: cost 1 inf + 10323 1554299969.499 * * [misc]simplify: Extracting #8: cost 0 inf + 11108 1554299969.502 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299969.502 * [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)))))) (* (pow PI (- (/ k 2))) (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299969.502 * * * * [misc]progress: [ 338 / 621 ] simplifiying candidate # 1554299969.503 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt k) 1)) 1554299969.503 * * [misc]simplify: iters left: 6 (15 enodes) 1554299969.512 * * [misc]simplify: iters left: 5 (52 enodes) 1554299969.532 * * [misc]simplify: iters left: 4 (77 enodes) 1554299969.553 * * [misc]simplify: iters left: 3 (109 enodes) 1554299969.573 * * [misc]simplify: iters left: 2 (151 enodes) 1554299969.608 * * [misc]simplify: iters left: 1 (179 enodes) 1554299969.647 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.647 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299969.647 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299969.647 * * [misc]simplify: Extracting #3: cost 22 inf + 84 1554299969.648 * * [misc]simplify: Extracting #4: cost 28 inf + 166 1554299969.648 * * [misc]simplify: Extracting #5: cost 26 inf + 293 1554299969.649 * * [misc]simplify: Extracting #6: cost 15 inf + 2366 1554299969.651 * * [misc]simplify: Extracting #7: cost 3 inf + 7763 1554299969.654 * * [misc]simplify: Extracting #8: cost 1 inf + 8752 1554299969.658 * * [misc]simplify: Extracting #9: cost 0 inf + 9247 1554299969.661 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299969.662 * [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))) (pow PI (/ k 2))))) 1554299969.662 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299969.662 * * [misc]simplify: iters left: 6 (16 enodes) 1554299969.670 * * [misc]simplify: iters left: 5 (58 enodes) 1554299969.683 * * [misc]simplify: iters left: 4 (75 enodes) 1554299969.695 * * [misc]simplify: iters left: 3 (93 enodes) 1554299969.717 * * [misc]simplify: iters left: 2 (101 enodes) 1554299969.744 * * [misc]simplify: iters left: 1 (112 enodes) 1554299969.763 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.763 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299969.763 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299969.763 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299969.764 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299969.764 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299969.764 * * [misc]simplify: Extracting #6: cost 9 inf + 5616 1554299969.766 * * [misc]simplify: Extracting #7: cost 1 inf + 9761 1554299969.767 * * [misc]simplify: Extracting #8: cost 0 inf + 10216 1554299969.768 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299969.768 * [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)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299969.768 * * * * [misc]progress: [ 339 / 621 ] simplifiying candidate # 1554299969.769 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow PI 0))) 1554299969.769 * * [misc]simplify: iters left: 6 (18 enodes) 1554299969.773 * * [misc]simplify: iters left: 5 (60 enodes) 1554299969.783 * * [misc]simplify: iters left: 4 (81 enodes) 1554299969.805 * * [misc]simplify: iters left: 3 (110 enodes) 1554299969.842 * * [misc]simplify: iters left: 2 (138 enodes) 1554299969.892 * * [misc]simplify: iters left: 1 (161 enodes) 1554299969.919 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299969.919 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299969.919 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299969.919 * * [misc]simplify: Extracting #3: cost 23 inf + 43 1554299969.920 * * [misc]simplify: Extracting #4: cost 28 inf + 166 1554299969.920 * * [misc]simplify: Extracting #5: cost 26 inf + 293 1554299969.921 * * [misc]simplify: Extracting #6: cost 15 inf + 2446 1554299969.923 * * [misc]simplify: Extracting #7: cost 3 inf + 7764 1554299969.928 * * [misc]simplify: Extracting #8: cost 0 inf + 9247 1554299969.932 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299969.932 * [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))) (pow PI (/ k 2))))) 1554299969.933 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299969.933 * * [misc]simplify: iters left: 6 (16 enodes) 1554299969.941 * * [misc]simplify: iters left: 5 (58 enodes) 1554299969.959 * * [misc]simplify: iters left: 4 (75 enodes) 1554299969.982 * * [misc]simplify: iters left: 3 (93 enodes) 1554299970.007 * * [misc]simplify: iters left: 2 (101 enodes) 1554299970.033 * * [misc]simplify: iters left: 1 (112 enodes) 1554299970.062 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.063 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299970.063 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299970.063 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299970.063 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299970.064 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299970.066 * * [misc]simplify: Extracting #6: cost 9 inf + 5616 1554299970.068 * * [misc]simplify: Extracting #7: cost 1 inf + 9761 1554299970.070 * * [misc]simplify: Extracting #8: cost 0 inf + 10216 1554299970.073 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299970.073 * [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))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299970.073 * * * * [misc]progress: [ 340 / 621 ] simplifiying candidate # 1554299970.074 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299970.074 * * [misc]simplify: iters left: 6 (23 enodes) 1554299970.086 * * [misc]simplify: iters left: 5 (82 enodes) 1554299970.110 * * [misc]simplify: iters left: 4 (104 enodes) 1554299970.137 * * [misc]simplify: iters left: 3 (131 enodes) 1554299970.155 * * [misc]simplify: iters left: 2 (144 enodes) 1554299970.187 * * [misc]simplify: iters left: 1 (146 enodes) 1554299970.223 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.223 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299970.223 * * [misc]simplify: Extracting #2: cost 37 inf + 0 1554299970.223 * * [misc]simplify: Extracting #3: cost 46 inf + 0 1554299970.224 * * [misc]simplify: Extracting #4: cost 57 inf + 1 1554299970.224 * * [misc]simplify: Extracting #5: cost 47 inf + 819 1554299970.225 * * [misc]simplify: Extracting #6: cost 35 inf + 2601 1554299970.226 * * [misc]simplify: Extracting #7: cost 27 inf + 5452 1554299970.229 * * [misc]simplify: Extracting #8: cost 14 inf + 14840 1554299970.236 * * [misc]simplify: Extracting #9: cost 1 inf + 25380 1554299970.242 * * [misc]simplify: Extracting #10: cost 0 inf + 26446 1554299970.249 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))))) 1554299970.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299970.250 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299970.250 * * [misc]simplify: iters left: 6 (21 enodes) 1554299970.259 * * [misc]simplify: iters left: 5 (72 enodes) 1554299970.280 * * [misc]simplify: iters left: 4 (82 enodes) 1554299970.296 * * [misc]simplify: iters left: 3 (84 enodes) 1554299970.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.307 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299970.307 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299970.307 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299970.307 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299970.307 * * [misc]simplify: Extracting #5: cost 29 inf + 456 1554299970.308 * * [misc]simplify: Extracting #6: cost 14 inf + 3158 1554299970.308 * * [misc]simplify: Extracting #7: cost 8 inf + 5138 1554299970.309 * * [misc]simplify: Extracting #8: cost 3 inf + 8549 1554299970.310 * * [misc]simplify: Extracting #9: cost 0 inf + 11054 1554299970.311 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299970.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299970.312 * * * * [misc]progress: [ 341 / 621 ] simplifiying candidate # 1554299970.312 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299970.312 * * [misc]simplify: iters left: 6 (22 enodes) 1554299970.317 * * [misc]simplify: iters left: 5 (77 enodes) 1554299970.330 * * [misc]simplify: iters left: 4 (92 enodes) 1554299970.343 * * [misc]simplify: iters left: 3 (104 enodes) 1554299970.357 * * [misc]simplify: iters left: 2 (106 enodes) 1554299970.385 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.385 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299970.385 * * [misc]simplify: Extracting #2: cost 25 inf + 0 1554299970.385 * * [misc]simplify: Extracting #3: cost 34 inf + 0 1554299970.385 * * [misc]simplify: Extracting #4: cost 45 inf + 1 1554299970.386 * * [misc]simplify: Extracting #5: cost 36 inf + 456 1554299970.386 * * [misc]simplify: Extracting #6: cost 23 inf + 2309 1554299970.387 * * [misc]simplify: Extracting #7: cost 15 inf + 5412 1554299970.389 * * [misc]simplify: Extracting #8: cost 9 inf + 8214 1554299970.393 * * [misc]simplify: Extracting #9: cost 2 inf + 13919 1554299970.396 * * [misc]simplify: Extracting #10: cost 0 inf + 15730 1554299970.400 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299970.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299970.401 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299970.401 * * [misc]simplify: iters left: 6 (21 enodes) 1554299970.410 * * [misc]simplify: iters left: 5 (72 enodes) 1554299970.421 * * [misc]simplify: iters left: 4 (82 enodes) 1554299970.433 * * [misc]simplify: iters left: 3 (84 enodes) 1554299970.455 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.455 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299970.455 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299970.455 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299970.455 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299970.456 * * [misc]simplify: Extracting #5: cost 29 inf + 456 1554299970.456 * * [misc]simplify: Extracting #6: cost 14 inf + 3158 1554299970.458 * * [misc]simplify: Extracting #7: cost 8 inf + 5138 1554299970.459 * * [misc]simplify: Extracting #8: cost 3 inf + 8349 1554299970.461 * * [misc]simplify: Extracting #9: cost 0 inf + 10734 1554299970.462 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299970.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299970.463 * * * * [misc]progress: [ 342 / 621 ] simplifiying candidate # 1554299970.463 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299970.463 * * [misc]simplify: iters left: 6 (25 enodes) 1554299970.470 * * [misc]simplify: iters left: 5 (94 enodes) 1554299970.485 * * [misc]simplify: iters left: 4 (149 enodes) 1554299970.530 * * [misc]simplify: iters left: 3 (294 enodes) 1554299970.648 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.648 * * [misc]simplify: Extracting #1: cost 74 inf + 0 1554299970.649 * * [misc]simplify: Extracting #2: cost 166 inf + 0 1554299970.650 * * [misc]simplify: Extracting #3: cost 178 inf + 0 1554299970.651 * * [misc]simplify: Extracting #4: cost 183 inf + 44 1554299970.653 * * [misc]simplify: Extracting #5: cost 163 inf + 3476 1554299970.657 * * [misc]simplify: Extracting #6: cost 140 inf + 12652 1554299970.683 * * [misc]simplify: Extracting #7: cost 32 inf + 97976 1554299970.709 * * [misc]simplify: Extracting #8: cost 0 inf + 126001 1554299970.731 * * [misc]simplify: Extracting #9: cost 0 inf + 125881 1554299970.771 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))))) 1554299970.771 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299970.772 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299970.772 * * [misc]simplify: iters left: 6 (22 enodes) 1554299970.783 * * [misc]simplify: iters left: 5 (77 enodes) 1554299970.796 * * [misc]simplify: iters left: 4 (95 enodes) 1554299970.809 * * [misc]simplify: iters left: 3 (115 enodes) 1554299970.833 * * [misc]simplify: iters left: 2 (134 enodes) 1554299970.851 * * [misc]simplify: iters left: 1 (153 enodes) 1554299970.885 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299970.885 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299970.885 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299970.885 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299970.885 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299970.885 * * [misc]simplify: Extracting #5: cost 52 inf + 697 1554299970.886 * * [misc]simplify: Extracting #6: cost 41 inf + 1721 1554299970.886 * * [misc]simplify: Extracting #7: cost 35 inf + 3420 1554299970.888 * * [misc]simplify: Extracting #8: cost 4 inf + 23168 1554299970.891 * * [misc]simplify: Extracting #9: cost 0 inf + 26770 1554299970.895 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299970.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299970.895 * * * * [misc]progress: [ 343 / 621 ] simplifiying candidate # 1554299970.895 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299970.895 * * [misc]simplify: iters left: 6 (24 enodes) 1554299970.901 * * [misc]simplify: iters left: 5 (87 enodes) 1554299970.917 * * [misc]simplify: iters left: 4 (121 enodes) 1554299970.940 * * [misc]simplify: iters left: 3 (202 enodes) 1554299971.005 * * [misc]simplify: iters left: 2 (377 enodes) 1554299971.147 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299971.147 * * [misc]simplify: Extracting #1: cost 63 inf + 0 1554299971.148 * * [misc]simplify: Extracting #2: cost 133 inf + 0 1554299971.148 * * [misc]simplify: Extracting #3: cost 146 inf + 0 1554299971.149 * * [misc]simplify: Extracting #4: cost 151 inf + 44 1554299971.149 * * [misc]simplify: Extracting #5: cost 133 inf + 2355 1554299971.151 * * [misc]simplify: Extracting #6: cost 94 inf + 23297 1554299971.171 * * [misc]simplify: Extracting #7: cost 12 inf + 83116 1554299971.202 * * [misc]simplify: Extracting #8: cost 0 inf + 92524 1554299971.234 * * [misc]simplify: Extracting #9: cost 0 inf + 92484 1554299971.265 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) 1554299971.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299971.266 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299971.266 * * [misc]simplify: iters left: 6 (22 enodes) 1554299971.277 * * [misc]simplify: iters left: 5 (77 enodes) 1554299971.300 * * [misc]simplify: iters left: 4 (95 enodes) 1554299971.327 * * [misc]simplify: iters left: 3 (115 enodes) 1554299971.357 * * [misc]simplify: iters left: 2 (134 enodes) 1554299971.390 * * [misc]simplify: iters left: 1 (153 enodes) 1554299971.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299971.413 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299971.413 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299971.413 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299971.413 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299971.414 * * [misc]simplify: Extracting #5: cost 52 inf + 697 1554299971.414 * * [misc]simplify: Extracting #6: cost 41 inf + 1721 1554299971.415 * * [misc]simplify: Extracting #7: cost 35 inf + 3420 1554299971.417 * * [misc]simplify: Extracting #8: cost 4 inf + 22408 1554299971.425 * * [misc]simplify: Extracting #9: cost 0 inf + 25890 1554299971.431 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299971.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299971.432 * * * * [misc]progress: [ 344 / 621 ] simplifiying candidate # 1554299971.432 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299971.433 * * [misc]simplify: iters left: 6 (21 enodes) 1554299971.443 * * [misc]simplify: iters left: 5 (75 enodes) 1554299971.466 * * [misc]simplify: iters left: 4 (109 enodes) 1554299971.501 * * [misc]simplify: iters left: 3 (171 enodes) 1554299971.572 * * [misc]simplify: iters left: 2 (295 enodes) 1554299971.683 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299971.684 * * [misc]simplify: Extracting #1: cost 46 inf + 0 1554299971.684 * * [misc]simplify: Extracting #2: cost 89 inf + 1 1554299971.684 * * [misc]simplify: Extracting #3: cost 96 inf + 1 1554299971.685 * * [misc]simplify: Extracting #4: cost 104 inf + 2 1554299971.685 * * [misc]simplify: Extracting #5: cost 85 inf + 2638 1554299971.688 * * [misc]simplify: Extracting #6: cost 52 inf + 16893 1554299971.701 * * [misc]simplify: Extracting #7: cost 8 inf + 38645 1554299971.720 * * [misc]simplify: Extracting #8: cost 0 inf + 43744 1554299971.729 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) 1554299971.729 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299971.729 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299971.729 * * [misc]simplify: iters left: 6 (21 enodes) 1554299971.735 * * [misc]simplify: iters left: 5 (74 enodes) 1554299971.746 * * [misc]simplify: iters left: 4 (92 enodes) 1554299971.761 * * [misc]simplify: iters left: 3 (112 enodes) 1554299971.777 * * [misc]simplify: iters left: 2 (131 enodes) 1554299971.799 * * [misc]simplify: iters left: 1 (150 enodes) 1554299971.827 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299971.827 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299971.827 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299971.828 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299971.828 * * [misc]simplify: Extracting #4: cost 56 inf + 289 1554299971.828 * * [misc]simplify: Extracting #5: cost 41 inf + 1877 1554299971.829 * * [misc]simplify: Extracting #6: cost 26 inf + 7276 1554299971.831 * * [misc]simplify: Extracting #7: cost 5 inf + 20568 1554299971.834 * * [misc]simplify: Extracting #8: cost 0 inf + 24104 1554299971.837 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299971.837 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299971.837 * * * * [misc]progress: [ 345 / 621 ] simplifiying candidate # 1554299971.837 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299971.837 * * [misc]simplify: iters left: 6 (24 enodes) 1554299971.845 * * [misc]simplify: iters left: 5 (87 enodes) 1554299971.870 * * [misc]simplify: iters left: 4 (120 enodes) 1554299971.889 * * [misc]simplify: iters left: 3 (191 enodes) 1554299971.947 * * [misc]simplify: iters left: 2 (356 enodes) 1554299972.110 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299972.110 * * [misc]simplify: Extracting #1: cost 61 inf + 0 1554299972.111 * * [misc]simplify: Extracting #2: cost 132 inf + 0 1554299972.112 * * [misc]simplify: Extracting #3: cost 144 inf + 0 1554299972.113 * * [misc]simplify: Extracting #4: cost 150 inf + 3 1554299972.114 * * [misc]simplify: Extracting #5: cost 131 inf + 2636 1554299972.117 * * [misc]simplify: Extracting #6: cost 106 inf + 13071 1554299972.135 * * [misc]simplify: Extracting #7: cost 31 inf + 70807 1554299972.151 * * [misc]simplify: Extracting #8: cost 0 inf + 94938 1554299972.173 * * [misc]simplify: Extracting #9: cost 0 inf + 94778 1554299972.205 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))))) (sqrt (sqrt k))) 1554299972.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299972.206 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299972.206 * * [misc]simplify: iters left: 6 (22 enodes) 1554299972.216 * * [misc]simplify: iters left: 5 (77 enodes) 1554299972.237 * * [misc]simplify: iters left: 4 (95 enodes) 1554299972.262 * * [misc]simplify: iters left: 3 (115 enodes) 1554299972.281 * * [misc]simplify: iters left: 2 (134 enodes) 1554299972.300 * * [misc]simplify: iters left: 1 (153 enodes) 1554299972.337 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299972.337 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299972.337 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299972.337 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299972.338 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299972.338 * * [misc]simplify: Extracting #5: cost 52 inf + 617 1554299972.339 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299972.340 * * [misc]simplify: Extracting #7: cost 35 inf + 3260 1554299972.342 * * [misc]simplify: Extracting #8: cost 4 inf + 22328 1554299972.346 * * [misc]simplify: Extracting #9: cost 0 inf + 25810 1554299972.349 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299972.349 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299972.349 * * * * [misc]progress: [ 346 / 621 ] simplifiying candidate # 1554299972.350 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299972.350 * * [misc]simplify: iters left: 6 (23 enodes) 1554299972.356 * * [misc]simplify: iters left: 5 (82 enodes) 1554299972.369 * * [misc]simplify: iters left: 4 (107 enodes) 1554299972.392 * * [misc]simplify: iters left: 3 (149 enodes) 1554299972.415 * * [misc]simplify: iters left: 2 (201 enodes) 1554299972.445 * * [misc]simplify: iters left: 1 (264 enodes) 1554299972.487 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299972.488 * * [misc]simplify: Extracting #1: cost 36 inf + 0 1554299972.488 * * [misc]simplify: Extracting #2: cost 70 inf + 0 1554299972.488 * * [misc]simplify: Extracting #3: cost 82 inf + 0 1554299972.488 * * [misc]simplify: Extracting #4: cost 85 inf + 166 1554299972.489 * * [misc]simplify: Extracting #5: cost 73 inf + 1548 1554299972.489 * * [misc]simplify: Extracting #6: cost 58 inf + 4953 1554299972.492 * * [misc]simplify: Extracting #7: cost 27 inf + 23309 1554299972.500 * * [misc]simplify: Extracting #8: cost 1 inf + 41224 1554299972.514 * * [misc]simplify: Extracting #9: cost 0 inf + 41918 1554299972.527 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (/ (- k) 2))))) 1554299972.527 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (/ (- k) 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299972.528 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299972.528 * * [misc]simplify: iters left: 6 (22 enodes) 1554299972.533 * * [misc]simplify: iters left: 5 (77 enodes) 1554299972.545 * * [misc]simplify: iters left: 4 (95 enodes) 1554299972.560 * * [misc]simplify: iters left: 3 (115 enodes) 1554299972.581 * * [misc]simplify: iters left: 2 (134 enodes) 1554299972.616 * * [misc]simplify: iters left: 1 (153 enodes) 1554299972.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299972.640 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299972.640 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299972.640 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299972.641 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299972.641 * * [misc]simplify: Extracting #5: cost 52 inf + 617 1554299972.641 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299972.642 * * [misc]simplify: Extracting #7: cost 35 inf + 3260 1554299972.644 * * [misc]simplify: Extracting #8: cost 4 inf + 21568 1554299972.647 * * [misc]simplify: Extracting #9: cost 0 inf + 24930 1554299972.650 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299972.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299972.650 * * * * [misc]progress: [ 347 / 621 ] simplifiying candidate # 1554299972.650 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299972.651 * * [misc]simplify: iters left: 6 (20 enodes) 1554299972.655 * * [misc]simplify: iters left: 5 (70 enodes) 1554299972.666 * * [misc]simplify: iters left: 4 (89 enodes) 1554299972.679 * * [misc]simplify: iters left: 3 (116 enodes) 1554299972.703 * * [misc]simplify: iters left: 2 (151 enodes) 1554299972.757 * * [misc]simplify: iters left: 1 (223 enodes) 1554299972.823 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299972.823 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299972.823 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299972.824 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299972.824 * * [misc]simplify: Extracting #4: cost 60 inf + 43 1554299972.825 * * [misc]simplify: Extracting #5: cost 45 inf + 1992 1554299972.827 * * [misc]simplify: Extracting #6: cost 26 inf + 6659 1554299972.833 * * [misc]simplify: Extracting #7: cost 1 inf + 19994 1554299972.842 * * [misc]simplify: Extracting #8: cost 0 inf + 20690 1554299972.850 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) 1554299972.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299972.851 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299972.851 * * [misc]simplify: iters left: 6 (21 enodes) 1554299972.862 * * [misc]simplify: iters left: 5 (74 enodes) 1554299972.883 * * [misc]simplify: iters left: 4 (92 enodes) 1554299972.909 * * [misc]simplify: iters left: 3 (112 enodes) 1554299972.939 * * [misc]simplify: iters left: 2 (131 enodes) 1554299972.976 * * [misc]simplify: iters left: 1 (150 enodes) 1554299972.999 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299972.999 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299972.999 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299972.999 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299972.999 * * [misc]simplify: Extracting #4: cost 56 inf + 249 1554299973.000 * * [misc]simplify: Extracting #5: cost 41 inf + 1717 1554299973.001 * * [misc]simplify: Extracting #6: cost 26 inf + 6916 1554299973.003 * * [misc]simplify: Extracting #7: cost 5 inf + 19728 1554299973.006 * * [misc]simplify: Extracting #8: cost 0 inf + 23144 1554299973.009 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299973.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299973.009 * * * * [misc]progress: [ 348 / 621 ] simplifiying candidate # 1554299973.009 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299973.010 * * [misc]simplify: iters left: 6 (22 enodes) 1554299973.020 * * [misc]simplify: iters left: 5 (81 enodes) 1554299973.044 * * [misc]simplify: iters left: 4 (110 enodes) 1554299973.080 * * [misc]simplify: iters left: 3 (165 enodes) 1554299973.147 * * [misc]simplify: iters left: 2 (312 enodes) 1554299973.288 * * [misc]simplify: iters left: 1 (475 enodes) 1554299973.503 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299973.503 * * [misc]simplify: Extracting #1: cost 36 inf + 0 1554299973.504 * * [misc]simplify: Extracting #2: cost 92 inf + 1 1554299973.505 * * [misc]simplify: Extracting #3: cost 100 inf + 1 1554299973.506 * * [misc]simplify: Extracting #4: cost 101 inf + 935 1554299973.507 * * [misc]simplify: Extracting #5: cost 98 inf + 1063 1554299973.508 * * [misc]simplify: Extracting #6: cost 91 inf + 1980 1554299973.510 * * [misc]simplify: Extracting #7: cost 75 inf + 9108 1554299973.514 * * [misc]simplify: Extracting #8: cost 55 inf + 22437 1554299973.523 * * [misc]simplify: Extracting #9: cost 4 inf + 61116 1554299973.534 * * [misc]simplify: Extracting #10: cost 0 inf + 64155 1554299973.549 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (/ (- k) 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (/ (- k) 2))))) 1554299973.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (/ (- k) 2))))) (/ (cbrt (/ 1 (sqrt PI))) (cbrt (pow PI (/ (- k) 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299973.549 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299973.550 * * [misc]simplify: iters left: 6 (21 enodes) 1554299973.559 * * [misc]simplify: iters left: 5 (74 enodes) 1554299973.578 * * [misc]simplify: iters left: 4 (92 enodes) 1554299973.593 * * [misc]simplify: iters left: 3 (112 enodes) 1554299973.608 * * [misc]simplify: iters left: 2 (131 enodes) 1554299973.638 * * [misc]simplify: iters left: 1 (150 enodes) 1554299973.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299973.669 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299973.669 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299973.669 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299973.670 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299973.670 * * [misc]simplify: Extracting #5: cost 48 inf + 1185 1554299973.670 * * [misc]simplify: Extracting #6: cost 39 inf + 2267 1554299973.671 * * [misc]simplify: Extracting #7: cost 26 inf + 8117 1554299973.673 * * [misc]simplify: Extracting #8: cost 10 inf + 17665 1554299973.675 * * [misc]simplify: Extracting #9: cost 0 inf + 24448 1554299973.678 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299973.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299973.679 * * * * [misc]progress: [ 349 / 621 ] simplifiying candidate # 1554299973.679 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299973.679 * * [misc]simplify: iters left: 6 (21 enodes) 1554299973.684 * * [misc]simplify: iters left: 5 (76 enodes) 1554299973.708 * * [misc]simplify: iters left: 4 (97 enodes) 1554299973.733 * * [misc]simplify: iters left: 3 (124 enodes) 1554299973.753 * * [misc]simplify: iters left: 2 (171 enodes) 1554299973.804 * * [misc]simplify: iters left: 1 (210 enodes) 1554299973.865 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299973.866 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299973.866 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1554299973.866 * * [misc]simplify: Extracting #3: cost 55 inf + 1 1554299973.867 * * [misc]simplify: Extracting #4: cost 58 inf + 571 1554299973.867 * * [misc]simplify: Extracting #5: cost 55 inf + 979 1554299973.868 * * [misc]simplify: Extracting #6: cost 43 inf + 3052 1554299973.870 * * [misc]simplify: Extracting #7: cost 32 inf + 7260 1554299973.875 * * [misc]simplify: Extracting #8: cost 5 inf + 25202 1554299973.883 * * [misc]simplify: Extracting #9: cost 0 inf + 27592 1554299973.890 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))))) 1554299973.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299973.891 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299973.891 * * [misc]simplify: iters left: 6 (21 enodes) 1554299973.901 * * [misc]simplify: iters left: 5 (74 enodes) 1554299973.922 * * [misc]simplify: iters left: 4 (92 enodes) 1554299973.938 * * [misc]simplify: iters left: 3 (112 enodes) 1554299973.953 * * [misc]simplify: iters left: 2 (131 enodes) 1554299973.978 * * [misc]simplify: iters left: 1 (150 enodes) 1554299974.014 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.014 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299974.014 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299974.014 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299974.014 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299974.015 * * [misc]simplify: Extracting #5: cost 48 inf + 1185 1554299974.015 * * [misc]simplify: Extracting #6: cost 39 inf + 2267 1554299974.016 * * [misc]simplify: Extracting #7: cost 26 inf + 8117 1554299974.018 * * [misc]simplify: Extracting #8: cost 10 inf + 17185 1554299974.021 * * [misc]simplify: Extracting #9: cost 0 inf + 23568 1554299974.023 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299974.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299974.024 * * * * [misc]progress: [ 350 / 621 ] simplifiying candidate # 1554299974.024 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299974.024 * * [misc]simplify: iters left: 6 (18 enodes) 1554299974.029 * * [misc]simplify: iters left: 5 (62 enodes) 1554299974.041 * * [misc]simplify: iters left: 4 (76 enodes) 1554299974.058 * * [misc]simplify: iters left: 3 (83 enodes) 1554299974.069 * * [misc]simplify: iters left: 2 (84 enodes) 1554299974.078 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.078 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299974.079 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299974.079 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299974.079 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554299974.079 * * [misc]simplify: Extracting #5: cost 22 inf + 372 1554299974.079 * * [misc]simplify: Extracting #6: cost 13 inf + 1189 1554299974.079 * * [misc]simplify: Extracting #7: cost 5 inf + 2642 1554299974.080 * * [misc]simplify: Extracting #8: cost 2 inf + 4168 1554299974.081 * * [misc]simplify: Extracting #9: cost 0 inf + 5360 1554299974.082 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299974.082 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299974.083 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299974.083 * * [misc]simplify: iters left: 6 (20 enodes) 1554299974.092 * * [misc]simplify: iters left: 5 (71 enodes) 1554299974.113 * * [misc]simplify: iters left: 4 (89 enodes) 1554299974.138 * * [misc]simplify: iters left: 3 (109 enodes) 1554299974.158 * * [misc]simplify: iters left: 2 (128 enodes) 1554299974.177 * * [misc]simplify: iters left: 1 (147 enodes) 1554299974.203 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.203 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299974.203 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299974.203 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299974.203 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299974.204 * * [misc]simplify: Extracting #5: cost 44 inf + 868 1554299974.204 * * [misc]simplify: Extracting #6: cost 29 inf + 5441 1554299974.206 * * [misc]simplify: Extracting #7: cost 3 inf + 20125 1554299974.209 * * [misc]simplify: Extracting #8: cost 0 inf + 22102 1554299974.211 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299974.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299974.212 * * * * [misc]progress: [ 351 / 621 ] simplifiying candidate # 1554299974.212 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) 1554299974.212 * * [misc]simplify: iters left: 6 (17 enodes) 1554299974.216 * * [misc]simplify: iters left: 5 (59 enodes) 1554299974.233 * * [misc]simplify: iters left: 4 (74 enodes) 1554299974.255 * * [misc]simplify: iters left: 3 (83 enodes) 1554299974.266 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.266 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299974.266 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299974.266 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554299974.266 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554299974.266 * * [misc]simplify: Extracting #5: cost 23 inf + 290 1554299974.266 * * [misc]simplify: Extracting #6: cost 13 inf + 1229 1554299974.267 * * [misc]simplify: Extracting #7: cost 3 inf + 3834 1554299974.267 * * [misc]simplify: Extracting #8: cost 0 inf + 5360 1554299974.268 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299974.268 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299974.268 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299974.269 * * [misc]simplify: iters left: 6 (20 enodes) 1554299974.273 * * [misc]simplify: iters left: 5 (71 enodes) 1554299974.285 * * [misc]simplify: iters left: 4 (89 enodes) 1554299974.310 * * [misc]simplify: iters left: 3 (109 enodes) 1554299974.340 * * [misc]simplify: iters left: 2 (128 enodes) 1554299974.372 * * [misc]simplify: iters left: 1 (147 enodes) 1554299974.392 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.392 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299974.392 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299974.392 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299974.392 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299974.393 * * [misc]simplify: Extracting #5: cost 44 inf + 868 1554299974.393 * * [misc]simplify: Extracting #6: cost 29 inf + 5441 1554299974.395 * * [misc]simplify: Extracting #7: cost 3 inf + 20125 1554299974.399 * * [misc]simplify: Extracting #8: cost 0 inf + 22102 1554299974.405 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299974.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299974.405 * * * * [misc]progress: [ 352 / 621 ] simplifiying candidate # 1554299974.405 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299974.405 * * [misc]simplify: iters left: 6 (18 enodes) 1554299974.414 * * [misc]simplify: iters left: 5 (64 enodes) 1554299974.433 * * [misc]simplify: iters left: 4 (81 enodes) 1554299974.456 * * [misc]simplify: iters left: 3 (95 enodes) 1554299974.476 * * [misc]simplify: iters left: 2 (97 enodes) 1554299974.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.490 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299974.490 * * [misc]simplify: Extracting #2: cost 25 inf + 0 1554299974.490 * * [misc]simplify: Extracting #3: cost 28 inf + 83 1554299974.490 * * [misc]simplify: Extracting #4: cost 36 inf + 84 1554299974.490 * * [misc]simplify: Extracting #5: cost 30 inf + 456 1554299974.491 * * [misc]simplify: Extracting #6: cost 11 inf + 4443 1554299974.494 * * [misc]simplify: Extracting #7: cost 1 inf + 9410 1554299974.496 * * [misc]simplify: Extracting #8: cost 0 inf + 10106 1554299974.498 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k)))) 1554299974.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (* (cbrt (/ 1 (sqrt PI))) (sqrt k)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299974.499 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299974.499 * * [misc]simplify: iters left: 6 (19 enodes) 1554299974.508 * * [misc]simplify: iters left: 5 (68 enodes) 1554299974.528 * * [misc]simplify: iters left: 4 (82 enodes) 1554299974.550 * * [misc]simplify: iters left: 3 (93 enodes) 1554299974.577 * * [misc]simplify: iters left: 2 (118 enodes) 1554299974.594 * * [misc]simplify: iters left: 1 (135 enodes) 1554299974.618 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.618 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299974.619 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299974.619 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299974.619 * * [misc]simplify: Extracting #4: cost 38 inf + 288 1554299974.619 * * [misc]simplify: Extracting #5: cost 31 inf + 618 1554299974.620 * * [misc]simplify: Extracting #6: cost 15 inf + 3856 1554299974.621 * * [misc]simplify: Extracting #7: cost 3 inf + 9973 1554299974.623 * * [misc]simplify: Extracting #8: cost 0 inf + 11998 1554299974.625 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299974.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299974.625 * * * * [misc]progress: [ 353 / 621 ] simplifiying candidate # 1554299974.625 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299974.625 * * [misc]simplify: iters left: 6 (19 enodes) 1554299974.630 * * [misc]simplify: iters left: 5 (67 enodes) 1554299974.640 * * [misc]simplify: iters left: 4 (86 enodes) 1554299974.654 * * [misc]simplify: iters left: 3 (113 enodes) 1554299974.688 * * [misc]simplify: iters left: 2 (148 enodes) 1554299974.735 * * [misc]simplify: iters left: 1 (220 enodes) 1554299974.808 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.808 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299974.809 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299974.809 * * [misc]simplify: Extracting #3: cost 48 inf + 2 1554299974.810 * * [misc]simplify: Extracting #4: cost 56 inf + 43 1554299974.810 * * [misc]simplify: Extracting #5: cost 41 inf + 1954 1554299974.812 * * [misc]simplify: Extracting #6: cost 24 inf + 5724 1554299974.817 * * [misc]simplify: Extracting #7: cost 5 inf + 15096 1554299974.825 * * [misc]simplify: Extracting #8: cost 0 inf + 18336 1554299974.833 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI))))) 1554299974.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299974.834 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299974.834 * * [misc]simplify: iters left: 6 (17 enodes) 1554299974.842 * * [misc]simplify: iters left: 5 (59 enodes) 1554299974.856 * * [misc]simplify: iters left: 4 (71 enodes) 1554299974.866 * * [misc]simplify: iters left: 3 (75 enodes) 1554299974.876 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299974.876 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299974.876 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299974.876 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299974.877 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299974.877 * * [misc]simplify: Extracting #5: cost 20 inf + 1004 1554299974.877 * * [misc]simplify: Extracting #6: cost 9 inf + 3117 1554299974.878 * * [misc]simplify: Extracting #7: cost 2 inf + 6638 1554299974.878 * * [misc]simplify: Extracting #8: cost 0 inf + 8040 1554299974.879 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299974.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299974.879 * * * * [misc]progress: [ 354 / 621 ] simplifiying candidate # 1554299974.880 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299974.880 * * [misc]simplify: iters left: 6 (21 enodes) 1554299974.889 * * [misc]simplify: iters left: 5 (72 enodes) 1554299974.910 * * [misc]simplify: iters left: 4 (87 enodes) 1554299974.937 * * [misc]simplify: iters left: 3 (114 enodes) 1554299974.971 * * [misc]simplify: iters left: 2 (146 enodes) 1554299975.020 * * [misc]simplify: iters left: 1 (219 enodes) 1554299975.122 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.122 * * [misc]simplify: Extracting #1: cost 22 inf + 0 1554299975.122 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299975.123 * * [misc]simplify: Extracting #3: cost 48 inf + 2 1554299975.123 * * [misc]simplify: Extracting #4: cost 54 inf + 166 1554299975.124 * * [misc]simplify: Extracting #5: cost 45 inf + 1064 1554299975.126 * * [misc]simplify: Extracting #6: cost 27 inf + 5197 1554299975.130 * * [misc]simplify: Extracting #7: cost 7 inf + 14228 1554299975.134 * * [misc]simplify: Extracting #8: cost 0 inf + 18376 1554299975.137 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) 1554299975.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299975.138 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299975.138 * * [misc]simplify: iters left: 6 (17 enodes) 1554299975.142 * * [misc]simplify: iters left: 5 (59 enodes) 1554299975.151 * * [misc]simplify: iters left: 4 (71 enodes) 1554299975.161 * * [misc]simplify: iters left: 3 (75 enodes) 1554299975.183 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.183 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299975.183 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299975.183 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299975.183 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299975.184 * * [misc]simplify: Extracting #5: cost 20 inf + 1004 1554299975.184 * * [misc]simplify: Extracting #6: cost 9 inf + 3117 1554299975.186 * * [misc]simplify: Extracting #7: cost 2 inf + 6638 1554299975.187 * * [misc]simplify: Extracting #8: cost 0 inf + 8040 1554299975.189 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299975.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))) (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299975.189 * * * * [misc]progress: [ 355 / 621 ] simplifiying candidate # 1554299975.190 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299975.191 * * [misc]simplify: iters left: 6 (22 enodes) 1554299975.201 * * [misc]simplify: iters left: 5 (77 enodes) 1554299975.220 * * [misc]simplify: iters left: 4 (92 enodes) 1554299975.233 * * [misc]simplify: iters left: 3 (101 enodes) 1554299975.246 * * [misc]simplify: iters left: 2 (104 enodes) 1554299975.265 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.266 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299975.266 * * [misc]simplify: Extracting #2: cost 23 inf + 0 1554299975.266 * * [misc]simplify: Extracting #3: cost 34 inf + 0 1554299975.266 * * [misc]simplify: Extracting #4: cost 45 inf + 1 1554299975.266 * * [misc]simplify: Extracting #5: cost 37 inf + 375 1554299975.266 * * [misc]simplify: Extracting #6: cost 26 inf + 1743 1554299975.267 * * [misc]simplify: Extracting #7: cost 18 inf + 4232 1554299975.267 * * [misc]simplify: Extracting #8: cost 16 inf + 4978 1554299975.268 * * [misc]simplify: Extracting #9: cost 7 inf + 11467 1554299975.270 * * [misc]simplify: Extracting #10: cost 0 inf + 17130 1554299975.272 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554299975.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299975.272 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299975.272 * * [misc]simplify: iters left: 6 (21 enodes) 1554299975.278 * * [misc]simplify: iters left: 5 (72 enodes) 1554299975.289 * * [misc]simplify: iters left: 4 (82 enodes) 1554299975.302 * * [misc]simplify: iters left: 3 (84 enodes) 1554299975.313 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.313 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299975.313 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299975.313 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299975.313 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299975.314 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299975.314 * * [misc]simplify: Extracting #6: cost 14 inf + 3078 1554299975.314 * * [misc]simplify: Extracting #7: cost 8 inf + 4978 1554299975.315 * * [misc]simplify: Extracting #8: cost 3 inf + 8309 1554299975.317 * * [misc]simplify: Extracting #9: cost 0 inf + 10734 1554299975.318 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299975.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299975.318 * * * * [misc]progress: [ 356 / 621 ] simplifiying candidate # 1554299975.318 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299975.318 * * [misc]simplify: iters left: 6 (21 enodes) 1554299975.323 * * [misc]simplify: iters left: 5 (72 enodes) 1554299975.333 * * [misc]simplify: iters left: 4 (82 enodes) 1554299975.344 * * [misc]simplify: iters left: 3 (84 enodes) 1554299975.366 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.366 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299975.366 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299975.366 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299975.366 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299975.367 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299975.369 * * [misc]simplify: Extracting #6: cost 14 inf + 3078 1554299975.370 * * [misc]simplify: Extracting #7: cost 8 inf + 4978 1554299975.372 * * [misc]simplify: Extracting #8: cost 3 inf + 8109 1554299975.373 * * [misc]simplify: Extracting #9: cost 0 inf + 10414 1554299975.374 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299975.374 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299975.375 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299975.375 * * [misc]simplify: iters left: 6 (21 enodes) 1554299975.380 * * [misc]simplify: iters left: 5 (72 enodes) 1554299975.390 * * [misc]simplify: iters left: 4 (82 enodes) 1554299975.401 * * [misc]simplify: iters left: 3 (84 enodes) 1554299975.412 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.412 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299975.412 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299975.412 * * [misc]simplify: Extracting #3: cost 26 inf + 0 1554299975.412 * * [misc]simplify: Extracting #4: cost 37 inf + 1 1554299975.412 * * [misc]simplify: Extracting #5: cost 29 inf + 416 1554299975.413 * * [misc]simplify: Extracting #6: cost 14 inf + 3078 1554299975.413 * * [misc]simplify: Extracting #7: cost 8 inf + 4978 1554299975.414 * * [misc]simplify: Extracting #8: cost 3 inf + 8109 1554299975.415 * * [misc]simplify: Extracting #9: cost 0 inf + 10414 1554299975.416 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299975.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299975.416 * * * * [misc]progress: [ 357 / 621 ] simplifiying candidate # 1554299975.416 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299975.417 * * [misc]simplify: iters left: 6 (24 enodes) 1554299975.423 * * [misc]simplify: iters left: 5 (89 enodes) 1554299975.449 * * [misc]simplify: iters left: 4 (137 enodes) 1554299975.478 * * [misc]simplify: iters left: 3 (240 enodes) 1554299975.548 * * [misc]simplify: iters left: 2 (430 enodes) 1554299975.675 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.675 * * [misc]simplify: Extracting #1: cost 55 inf + 0 1554299975.676 * * [misc]simplify: Extracting #2: cost 122 inf + 0 1554299975.676 * * [misc]simplify: Extracting #3: cost 134 inf + 0 1554299975.676 * * [misc]simplify: Extracting #4: cost 139 inf + 44 1554299975.677 * * [misc]simplify: Extracting #5: cost 118 inf + 3535 1554299975.679 * * [misc]simplify: Extracting #6: cost 89 inf + 15968 1554299975.694 * * [misc]simplify: Extracting #7: cost 35 inf + 57329 1554299975.722 * * [misc]simplify: Extracting #8: cost 3 inf + 83222 1554299975.754 * * [misc]simplify: Extracting #9: cost 0 inf + 85515 1554299975.782 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))))) 1554299975.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299975.783 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299975.783 * * [misc]simplify: iters left: 6 (22 enodes) 1554299975.793 * * [misc]simplify: iters left: 5 (77 enodes) 1554299975.806 * * [misc]simplify: iters left: 4 (95 enodes) 1554299975.821 * * [misc]simplify: iters left: 3 (115 enodes) 1554299975.836 * * [misc]simplify: iters left: 2 (134 enodes) 1554299975.867 * * [misc]simplify: iters left: 1 (153 enodes) 1554299975.893 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299975.893 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299975.893 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299975.893 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299975.894 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299975.894 * * [misc]simplify: Extracting #5: cost 52 inf + 657 1554299975.894 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299975.895 * * [misc]simplify: Extracting #7: cost 35 inf + 3260 1554299975.897 * * [misc]simplify: Extracting #8: cost 4 inf + 22408 1554299975.900 * * [misc]simplify: Extracting #9: cost 0 inf + 25850 1554299975.903 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299975.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299975.903 * * * * [misc]progress: [ 358 / 621 ] simplifiying candidate # 1554299975.904 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299975.904 * * [misc]simplify: iters left: 6 (23 enodes) 1554299975.913 * * [misc]simplify: iters left: 5 (82 enodes) 1554299975.936 * * [misc]simplify: iters left: 4 (109 enodes) 1554299975.961 * * [misc]simplify: iters left: 3 (162 enodes) 1554299975.988 * * [misc]simplify: iters left: 2 (241 enodes) 1554299976.028 * * [misc]simplify: iters left: 1 (296 enodes) 1554299976.083 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299976.083 * * [misc]simplify: Extracting #1: cost 33 inf + 0 1554299976.084 * * [misc]simplify: Extracting #2: cost 69 inf + 0 1554299976.084 * * [misc]simplify: Extracting #3: cost 81 inf + 0 1554299976.085 * * [misc]simplify: Extracting #4: cost 78 inf + 938 1554299976.086 * * [misc]simplify: Extracting #5: cost 70 inf + 2072 1554299976.088 * * [misc]simplify: Extracting #6: cost 56 inf + 5206 1554299976.094 * * [misc]simplify: Extracting #7: cost 26 inf + 23759 1554299976.104 * * [misc]simplify: Extracting #8: cost 1 inf + 40268 1554299976.112 * * [misc]simplify: Extracting #9: cost 0 inf + 40762 1554299976.120 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (/ (- k) 2))) (* (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299976.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (/ (- k) 2))) (* (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299976.120 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299976.120 * * [misc]simplify: iters left: 6 (22 enodes) 1554299976.126 * * [misc]simplify: iters left: 5 (77 enodes) 1554299976.137 * * [misc]simplify: iters left: 4 (95 enodes) 1554299976.156 * * [misc]simplify: iters left: 3 (115 enodes) 1554299976.188 * * [misc]simplify: iters left: 2 (134 enodes) 1554299976.206 * * [misc]simplify: iters left: 1 (153 enodes) 1554299976.235 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299976.235 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299976.235 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299976.235 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299976.236 * * [misc]simplify: Extracting #4: cost 59 inf + 206 1554299976.236 * * [misc]simplify: Extracting #5: cost 52 inf + 657 1554299976.237 * * [misc]simplify: Extracting #6: cost 41 inf + 1601 1554299976.238 * * [misc]simplify: Extracting #7: cost 35 inf + 3260 1554299976.242 * * [misc]simplify: Extracting #8: cost 4 inf + 21648 1554299976.249 * * [misc]simplify: Extracting #9: cost 0 inf + 24970 1554299976.255 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299976.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299976.256 * * * * [misc]progress: [ 359 / 621 ] simplifiying candidate # 1554299976.256 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299976.256 * * [misc]simplify: iters left: 6 (20 enodes) 1554299976.266 * * [misc]simplify: iters left: 5 (70 enodes) 1554299976.288 * * [misc]simplify: iters left: 4 (99 enodes) 1554299976.318 * * [misc]simplify: iters left: 3 (139 enodes) 1554299976.365 * * [misc]simplify: iters left: 2 (186 enodes) 1554299976.417 * * [misc]simplify: iters left: 1 (253 enodes) 1554299976.474 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299976.474 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299976.475 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299976.475 * * [misc]simplify: Extracting #3: cost 52 inf + 1 1554299976.475 * * [misc]simplify: Extracting #4: cost 59 inf + 43 1554299976.475 * * [misc]simplify: Extracting #5: cost 44 inf + 1708 1554299976.477 * * [misc]simplify: Extracting #6: cost 21 inf + 7456 1554299976.480 * * [misc]simplify: Extracting #7: cost 4 inf + 16243 1554299976.484 * * [misc]simplify: Extracting #8: cost 0 inf + 18905 1554299976.488 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI))))) 1554299976.489 * [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 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299976.489 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299976.489 * * [misc]simplify: iters left: 6 (21 enodes) 1554299976.494 * * [misc]simplify: iters left: 5 (74 enodes) 1554299976.505 * * [misc]simplify: iters left: 4 (92 enodes) 1554299976.520 * * [misc]simplify: iters left: 3 (112 enodes) 1554299976.535 * * [misc]simplify: iters left: 2 (131 enodes) 1554299976.563 * * [misc]simplify: iters left: 1 (150 enodes) 1554299976.606 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299976.606 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299976.606 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299976.606 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299976.606 * * [misc]simplify: Extracting #4: cost 56 inf + 289 1554299976.607 * * [misc]simplify: Extracting #5: cost 41 inf + 1717 1554299976.608 * * [misc]simplify: Extracting #6: cost 26 inf + 6916 1554299976.613 * * [misc]simplify: Extracting #7: cost 5 inf + 19768 1554299976.619 * * [misc]simplify: Extracting #8: cost 0 inf + 23184 1554299976.625 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299976.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299976.626 * * * * [misc]progress: [ 360 / 621 ] simplifiying candidate # 1554299976.626 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299976.626 * * [misc]simplify: iters left: 6 (23 enodes) 1554299976.639 * * [misc]simplify: iters left: 5 (82 enodes) 1554299976.663 * * [misc]simplify: iters left: 4 (108 enodes) 1554299976.696 * * [misc]simplify: iters left: 3 (151 enodes) 1554299976.744 * * [misc]simplify: iters left: 2 (224 enodes) 1554299976.814 * * [misc]simplify: iters left: 1 (290 enodes) 1554299976.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299976.874 * * [misc]simplify: Extracting #1: cost 41 inf + 0 1554299976.874 * * [misc]simplify: Extracting #2: cost 78 inf + 0 1554299976.874 * * [misc]simplify: Extracting #3: cost 91 inf + 0 1554299976.874 * * [misc]simplify: Extracting #4: cost 93 inf + 207 1554299976.875 * * [misc]simplify: Extracting #5: cost 80 inf + 1948 1554299976.876 * * [misc]simplify: Extracting #6: cost 62 inf + 7431 1554299976.878 * * [misc]simplify: Extracting #7: cost 45 inf + 18853 1554299976.886 * * [misc]simplify: Extracting #8: cost 6 inf + 49116 1554299976.894 * * [misc]simplify: Extracting #9: cost 0 inf + 53582 1554299976.902 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554299976.902 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299976.903 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299976.903 * * [misc]simplify: iters left: 6 (22 enodes) 1554299976.908 * * [misc]simplify: iters left: 5 (77 enodes) 1554299976.931 * * [misc]simplify: iters left: 4 (95 enodes) 1554299976.948 * * [misc]simplify: iters left: 3 (115 enodes) 1554299976.970 * * [misc]simplify: iters left: 2 (134 enodes) 1554299977.004 * * [misc]simplify: iters left: 1 (153 enodes) 1554299977.045 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299977.045 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299977.045 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299977.046 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299977.046 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299977.046 * * [misc]simplify: Extracting #5: cost 52 inf + 577 1554299977.047 * * [misc]simplify: Extracting #6: cost 41 inf + 1481 1554299977.048 * * [misc]simplify: Extracting #7: cost 35 inf + 3100 1554299977.052 * * [misc]simplify: Extracting #8: cost 4 inf + 21568 1554299977.059 * * [misc]simplify: Extracting #9: cost 0 inf + 24890 1554299977.065 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))) 1554299977.065 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (cbrt (pow PI (/ (- k) 2)))))) 1554299977.066 * * * * [misc]progress: [ 361 / 621 ] simplifiying candidate # 1554299977.066 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299977.066 * * [misc]simplify: iters left: 6 (22 enodes) 1554299977.076 * * [misc]simplify: iters left: 5 (77 enodes) 1554299977.088 * * [misc]simplify: iters left: 4 (95 enodes) 1554299977.103 * * [misc]simplify: iters left: 3 (115 enodes) 1554299977.130 * * [misc]simplify: iters left: 2 (134 enodes) 1554299977.163 * * [misc]simplify: iters left: 1 (153 enodes) 1554299977.205 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299977.205 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299977.205 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299977.205 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299977.205 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299977.206 * * [misc]simplify: Extracting #5: cost 52 inf + 577 1554299977.207 * * [misc]simplify: Extracting #6: cost 41 inf + 1481 1554299977.208 * * [misc]simplify: Extracting #7: cost 35 inf + 3100 1554299977.212 * * [misc]simplify: Extracting #8: cost 4 inf + 20808 1554299977.219 * * [misc]simplify: Extracting #9: cost 0 inf + 24010 1554299977.226 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299977.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299977.226 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299977.226 * * [misc]simplify: iters left: 6 (22 enodes) 1554299977.233 * * [misc]simplify: iters left: 5 (77 enodes) 1554299977.244 * * [misc]simplify: iters left: 4 (95 enodes) 1554299977.257 * * [misc]simplify: iters left: 3 (115 enodes) 1554299977.283 * * [misc]simplify: iters left: 2 (134 enodes) 1554299977.318 * * [misc]simplify: iters left: 1 (153 enodes) 1554299977.361 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299977.361 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299977.361 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299977.362 * * [misc]simplify: Extracting #3: cost 56 inf + 0 1554299977.362 * * [misc]simplify: Extracting #4: cost 59 inf + 166 1554299977.362 * * [misc]simplify: Extracting #5: cost 52 inf + 577 1554299977.363 * * [misc]simplify: Extracting #6: cost 41 inf + 1481 1554299977.364 * * [misc]simplify: Extracting #7: cost 35 inf + 3100 1554299977.369 * * [misc]simplify: Extracting #8: cost 4 inf + 20808 1554299977.375 * * [misc]simplify: Extracting #9: cost 0 inf + 24010 1554299977.381 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))) 1554299977.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (sqrt (pow PI (/ (- k) 2)))))) 1554299977.382 * * * * [misc]progress: [ 362 / 621 ] simplifiying candidate # 1554299977.382 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299977.382 * * [misc]simplify: iters left: 6 (19 enodes) 1554299977.391 * * [misc]simplify: iters left: 5 (65 enodes) 1554299977.410 * * [misc]simplify: iters left: 4 (79 enodes) 1554299977.423 * * [misc]simplify: iters left: 3 (92 enodes) 1554299977.436 * * [misc]simplify: iters left: 2 (104 enodes) 1554299977.453 * * [misc]simplify: iters left: 1 (130 enodes) 1554299977.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299977.489 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299977.489 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299977.489 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1554299977.490 * * [misc]simplify: Extracting #4: cost 41 inf + 2 1554299977.490 * * [misc]simplify: Extracting #5: cost 35 inf + 453 1554299977.490 * * [misc]simplify: Extracting #6: cost 27 inf + 908 1554299977.491 * * [misc]simplify: Extracting #7: cost 15 inf + 2677 1554299977.494 * * [misc]simplify: Extracting #8: cost 2 inf + 8848 1554299977.497 * * [misc]simplify: Extracting #9: cost 0 inf + 9998 1554299977.501 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) 1554299977.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299977.502 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299977.502 * * [misc]simplify: iters left: 6 (21 enodes) 1554299977.512 * * [misc]simplify: iters left: 5 (74 enodes) 1554299977.534 * * [misc]simplify: iters left: 4 (92 enodes) 1554299977.561 * * [misc]simplify: iters left: 3 (112 enodes) 1554299977.594 * * [misc]simplify: iters left: 2 (131 enodes) 1554299977.629 * * [misc]simplify: iters left: 1 (150 enodes) 1554299977.668 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299977.668 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299977.668 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299977.668 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299977.668 * * [misc]simplify: Extracting #4: cost 56 inf + 249 1554299977.669 * * [misc]simplify: Extracting #5: cost 41 inf + 1557 1554299977.669 * * [misc]simplify: Extracting #6: cost 26 inf + 6556 1554299977.671 * * [misc]simplify: Extracting #7: cost 5 inf + 18928 1554299977.675 * * [misc]simplify: Extracting #8: cost 0 inf + 22224 1554299977.678 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299977.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299977.678 * * * * [misc]progress: [ 363 / 621 ] simplifiying candidate # 1554299977.678 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299977.678 * * [misc]simplify: iters left: 6 (21 enodes) 1554299977.683 * * [misc]simplify: iters left: 5 (76 enodes) 1554299977.695 * * [misc]simplify: iters left: 4 (98 enodes) 1554299977.712 * * [misc]simplify: iters left: 3 (130 enodes) 1554299977.734 * * [misc]simplify: iters left: 2 (206 enodes) 1554299977.794 * * [misc]simplify: iters left: 1 (268 enodes) 1554299977.873 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299977.873 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299977.873 * * [misc]simplify: Extracting #2: cost 59 inf + 1 1554299977.874 * * [misc]simplify: Extracting #3: cost 67 inf + 1 1554299977.874 * * [misc]simplify: Extracting #4: cost 70 inf + 451 1554299977.875 * * [misc]simplify: Extracting #5: cost 69 inf + 495 1554299977.876 * * [misc]simplify: Extracting #6: cost 57 inf + 2245 1554299977.878 * * [misc]simplify: Extracting #7: cost 40 inf + 11412 1554299977.886 * * [misc]simplify: Extracting #8: cost 5 inf + 33566 1554299977.896 * * [misc]simplify: Extracting #9: cost 0 inf + 36607 1554299977.905 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) 1554299977.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299977.906 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299977.906 * * [misc]simplify: iters left: 6 (21 enodes) 1554299977.913 * * [misc]simplify: iters left: 5 (74 enodes) 1554299977.924 * * [misc]simplify: iters left: 4 (92 enodes) 1554299977.949 * * [misc]simplify: iters left: 3 (112 enodes) 1554299977.979 * * [misc]simplify: iters left: 2 (131 enodes) 1554299978.013 * * [misc]simplify: iters left: 1 (150 enodes) 1554299978.056 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.056 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299978.056 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299978.057 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299978.057 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299978.057 * * [misc]simplify: Extracting #5: cost 48 inf + 1025 1554299978.058 * * [misc]simplify: Extracting #6: cost 39 inf + 2107 1554299978.060 * * [misc]simplify: Extracting #7: cost 26 inf + 7717 1554299978.063 * * [misc]simplify: Extracting #8: cost 10 inf + 16945 1554299978.069 * * [misc]simplify: Extracting #9: cost 0 inf + 23528 1554299978.075 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299978.075 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299978.075 * * * * [misc]progress: [ 364 / 621 ] simplifiying candidate # 1554299978.076 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299978.076 * * [misc]simplify: iters left: 6 (20 enodes) 1554299978.085 * * [misc]simplify: iters left: 5 (71 enodes) 1554299978.106 * * [misc]simplify: iters left: 4 (85 enodes) 1554299978.130 * * [misc]simplify: iters left: 3 (96 enodes) 1554299978.160 * * [misc]simplify: iters left: 2 (121 enodes) 1554299978.196 * * [misc]simplify: iters left: 1 (138 enodes) 1554299978.216 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.216 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299978.216 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299978.216 * * [misc]simplify: Extracting #3: cost 33 inf + 1 1554299978.216 * * [misc]simplify: Extracting #4: cost 38 inf + 247 1554299978.217 * * [misc]simplify: Extracting #5: cost 35 inf + 495 1554299978.217 * * [misc]simplify: Extracting #6: cost 31 inf + 622 1554299978.217 * * [misc]simplify: Extracting #7: cost 19 inf + 3280 1554299978.218 * * [misc]simplify: Extracting #8: cost 11 inf + 6385 1554299978.219 * * [misc]simplify: Extracting #9: cost 1 inf + 12090 1554299978.221 * * [misc]simplify: Extracting #10: cost 0 inf + 12584 1554299978.223 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299978.223 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299978.223 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299978.224 * * [misc]simplify: iters left: 6 (21 enodes) 1554299978.229 * * [misc]simplify: iters left: 5 (74 enodes) 1554299978.251 * * [misc]simplify: iters left: 4 (92 enodes) 1554299978.277 * * [misc]simplify: iters left: 3 (112 enodes) 1554299978.307 * * [misc]simplify: iters left: 2 (131 enodes) 1554299978.343 * * [misc]simplify: iters left: 1 (150 enodes) 1554299978.375 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.375 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299978.375 * * [misc]simplify: Extracting #2: cost 44 inf + 0 1554299978.375 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299978.375 * * [misc]simplify: Extracting #4: cost 57 inf + 126 1554299978.376 * * [misc]simplify: Extracting #5: cost 48 inf + 1025 1554299978.376 * * [misc]simplify: Extracting #6: cost 39 inf + 2107 1554299978.377 * * [misc]simplify: Extracting #7: cost 26 inf + 7717 1554299978.379 * * [misc]simplify: Extracting #8: cost 10 inf + 16465 1554299978.381 * * [misc]simplify: Extracting #9: cost 0 inf + 22648 1554299978.384 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299978.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (sqrt (/ 1 (sqrt PI))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299978.385 * * * * [misc]progress: [ 365 / 621 ] simplifiying candidate # 1554299978.385 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299978.385 * * [misc]simplify: iters left: 6 (17 enodes) 1554299978.390 * * [misc]simplify: iters left: 5 (57 enodes) 1554299978.399 * * [misc]simplify: iters left: 4 (67 enodes) 1554299978.417 * * [misc]simplify: iters left: 3 (72 enodes) 1554299978.436 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.436 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299978.436 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299978.437 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299978.437 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554299978.437 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554299978.437 * * [misc]simplify: Extracting #6: cost 15 inf + 418 1554299978.437 * * [misc]simplify: Extracting #7: cost 4 inf + 2077 1554299978.438 * * [misc]simplify: Extracting #8: cost 1 inf + 3028 1554299978.438 * * [misc]simplify: Extracting #9: cost 0 inf + 3564 1554299978.439 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554299978.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299978.439 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299978.439 * * [misc]simplify: iters left: 6 (20 enodes) 1554299978.444 * * [misc]simplify: iters left: 5 (71 enodes) 1554299978.455 * * [misc]simplify: iters left: 4 (89 enodes) 1554299978.467 * * [misc]simplify: iters left: 3 (109 enodes) 1554299978.495 * * [misc]simplify: iters left: 2 (128 enodes) 1554299978.513 * * [misc]simplify: iters left: 1 (147 enodes) 1554299978.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.536 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299978.536 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299978.536 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299978.537 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299978.537 * * [misc]simplify: Extracting #5: cost 44 inf + 828 1554299978.537 * * [misc]simplify: Extracting #6: cost 29 inf + 5121 1554299978.540 * * [misc]simplify: Extracting #7: cost 3 inf + 19285 1554299978.542 * * [misc]simplify: Extracting #8: cost 0 inf + 21182 1554299978.545 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299978.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299978.545 * * * * [misc]progress: [ 366 / 621 ] simplifiying candidate # 1554299978.545 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) 1) 1554299978.546 * * [misc]simplify: iters left: 6 (16 enodes) 1554299978.550 * * [misc]simplify: iters left: 5 (54 enodes) 1554299978.564 * * [misc]simplify: iters left: 4 (64 enodes) 1554299978.573 * * [misc]simplify: iters left: 3 (69 enodes) 1554299978.582 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.582 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299978.582 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299978.582 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299978.582 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554299978.582 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554299978.582 * * [misc]simplify: Extracting #6: cost 12 inf + 623 1554299978.583 * * [misc]simplify: Extracting #7: cost 2 inf + 2492 1554299978.583 * * [misc]simplify: Extracting #8: cost 1 inf + 3028 1554299978.584 * * [misc]simplify: Extracting #9: cost 0 inf + 3564 1554299978.584 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554299978.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299978.584 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299978.585 * * [misc]simplify: iters left: 6 (20 enodes) 1554299978.590 * * [misc]simplify: iters left: 5 (71 enodes) 1554299978.602 * * [misc]simplify: iters left: 4 (89 enodes) 1554299978.628 * * [misc]simplify: iters left: 3 (109 enodes) 1554299978.642 * * [misc]simplify: iters left: 2 (128 enodes) 1554299978.659 * * [misc]simplify: iters left: 1 (147 enodes) 1554299978.687 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.687 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299978.687 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299978.687 * * [misc]simplify: Extracting #3: cost 53 inf + 43 1554299978.687 * * [misc]simplify: Extracting #4: cost 55 inf + 168 1554299978.688 * * [misc]simplify: Extracting #5: cost 44 inf + 828 1554299978.688 * * [misc]simplify: Extracting #6: cost 29 inf + 5121 1554299978.690 * * [misc]simplify: Extracting #7: cost 3 inf + 19285 1554299978.693 * * [misc]simplify: Extracting #8: cost 0 inf + 21182 1554299978.696 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))) 1554299978.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) 1) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (pow PI (- (/ k 2)))))) 1554299978.696 * * * * [misc]progress: [ 367 / 621 ] simplifiying candidate # 1554299978.696 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299978.696 * * [misc]simplify: iters left: 6 (17 enodes) 1554299978.700 * * [misc]simplify: iters left: 5 (59 enodes) 1554299978.710 * * [misc]simplify: iters left: 4 (71 enodes) 1554299978.727 * * [misc]simplify: iters left: 3 (75 enodes) 1554299978.738 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.738 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299978.738 * * [misc]simplify: Extracting #2: cost 17 inf + 0 1554299978.738 * * [misc]simplify: Extracting #3: cost 21 inf + 42 1554299978.738 * * [misc]simplify: Extracting #4: cost 28 inf + 84 1554299978.738 * * [misc]simplify: Extracting #5: cost 22 inf + 416 1554299978.738 * * [misc]simplify: Extracting #6: cost 10 inf + 2280 1554299978.739 * * [misc]simplify: Extracting #7: cost 2 inf + 5040 1554299978.740 * * [misc]simplify: Extracting #8: cost 0 inf + 6192 1554299978.741 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt k)) 1554299978.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (sqrt k)) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299978.741 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299978.741 * * [misc]simplify: iters left: 6 (19 enodes) 1554299978.746 * * [misc]simplify: iters left: 5 (68 enodes) 1554299978.756 * * [misc]simplify: iters left: 4 (82 enodes) 1554299978.773 * * [misc]simplify: iters left: 3 (93 enodes) 1554299978.799 * * [misc]simplify: iters left: 2 (118 enodes) 1554299978.824 * * [misc]simplify: iters left: 1 (135 enodes) 1554299978.854 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.854 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299978.854 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299978.855 * * [misc]simplify: Extracting #3: cost 34 inf + 2 1554299978.855 * * [misc]simplify: Extracting #4: cost 38 inf + 248 1554299978.855 * * [misc]simplify: Extracting #5: cost 31 inf + 538 1554299978.855 * * [misc]simplify: Extracting #6: cost 15 inf + 3736 1554299978.856 * * [misc]simplify: Extracting #7: cost 3 inf + 9573 1554299978.858 * * [misc]simplify: Extracting #8: cost 0 inf + 11518 1554299978.859 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299978.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299978.860 * * * * [misc]progress: [ 368 / 621 ] simplifiying candidate # 1554299978.860 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299978.860 * * [misc]simplify: iters left: 6 (18 enodes) 1554299978.865 * * [misc]simplify: iters left: 5 (62 enodes) 1554299978.874 * * [misc]simplify: iters left: 4 (76 enodes) 1554299978.887 * * [misc]simplify: iters left: 3 (89 enodes) 1554299978.910 * * [misc]simplify: iters left: 2 (101 enodes) 1554299978.926 * * [misc]simplify: iters left: 1 (127 enodes) 1554299978.947 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.947 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299978.947 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299978.947 * * [misc]simplify: Extracting #3: cost 28 inf + 84 1554299978.947 * * [misc]simplify: Extracting #4: cost 35 inf + 248 1554299978.948 * * [misc]simplify: Extracting #5: cost 28 inf + 662 1554299978.949 * * [misc]simplify: Extracting #6: cost 10 inf + 4871 1554299978.950 * * [misc]simplify: Extracting #7: cost 1 inf + 8740 1554299978.952 * * [misc]simplify: Extracting #8: cost 0 inf + 9356 1554299978.954 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) 1554299978.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (sqrt k))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299978.954 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299978.954 * * [misc]simplify: iters left: 6 (17 enodes) 1554299978.959 * * [misc]simplify: iters left: 5 (59 enodes) 1554299978.967 * * [misc]simplify: iters left: 4 (71 enodes) 1554299978.977 * * [misc]simplify: iters left: 3 (75 enodes) 1554299978.993 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299978.993 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299978.993 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299978.993 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299978.993 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299978.993 * * [misc]simplify: Extracting #5: cost 20 inf + 964 1554299978.994 * * [misc]simplify: Extracting #6: cost 9 inf + 2997 1554299978.995 * * [misc]simplify: Extracting #7: cost 2 inf + 6398 1554299978.997 * * [misc]simplify: Extracting #8: cost 0 inf + 7720 1554299978.998 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299978.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299978.998 * * * * [misc]progress: [ 369 / 621 ] simplifiying candidate # 1554299978.998 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299978.998 * * [misc]simplify: iters left: 6 (20 enodes) 1554299979.004 * * [misc]simplify: iters left: 5 (67 enodes) 1554299979.014 * * [misc]simplify: iters left: 4 (77 enodes) 1554299979.024 * * [misc]simplify: iters left: 3 (91 enodes) 1554299979.036 * * [misc]simplify: iters left: 2 (103 enodes) 1554299979.051 * * [misc]simplify: iters left: 1 (131 enodes) 1554299979.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299979.071 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299979.071 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299979.072 * * [misc]simplify: Extracting #3: cost 31 inf + 2 1554299979.072 * * [misc]simplify: Extracting #4: cost 39 inf + 43 1554299979.072 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299979.072 * * [misc]simplify: Extracting #6: cost 22 inf + 2578 1554299979.073 * * [misc]simplify: Extracting #7: cost 14 inf + 3978 1554299979.075 * * [misc]simplify: Extracting #8: cost 3 inf + 8617 1554299979.077 * * [misc]simplify: Extracting #9: cost 0 inf + 9892 1554299979.079 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299979.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299979.079 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299979.080 * * [misc]simplify: iters left: 6 (17 enodes) 1554299979.084 * * [misc]simplify: iters left: 5 (59 enodes) 1554299979.092 * * [misc]simplify: iters left: 4 (71 enodes) 1554299979.112 * * [misc]simplify: iters left: 3 (75 enodes) 1554299979.127 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299979.127 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299979.127 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299979.127 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299979.127 * * [misc]simplify: Extracting #4: cost 27 inf + 87 1554299979.127 * * [misc]simplify: Extracting #5: cost 20 inf + 964 1554299979.128 * * [misc]simplify: Extracting #6: cost 9 inf + 2997 1554299979.128 * * [misc]simplify: Extracting #7: cost 2 inf + 6398 1554299979.129 * * [misc]simplify: Extracting #8: cost 0 inf + 7720 1554299979.130 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))) 1554299979.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (pow PI (/ k 2))))) 1554299979.130 * * * * [misc]progress: [ 370 / 621 ] simplifiying candidate # 1554299979.130 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299979.131 * * [misc]simplify: iters left: 6 (19 enodes) 1554299979.135 * * [misc]simplify: iters left: 5 (65 enodes) 1554299979.145 * * [misc]simplify: iters left: 4 (76 enodes) 1554299979.158 * * [misc]simplify: iters left: 3 (81 enodes) 1554299979.178 * * [misc]simplify: iters left: 2 (82 enodes) 1554299979.200 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299979.200 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299979.200 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299979.200 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299979.200 * * [misc]simplify: Extracting #4: cost 29 inf + 1 1554299979.200 * * [misc]simplify: Extracting #5: cost 25 inf + 130 1554299979.201 * * [misc]simplify: Extracting #6: cost 14 inf + 2039 1554299979.202 * * [misc]simplify: Extracting #7: cost 5 inf + 4934 1554299979.204 * * [misc]simplify: Extracting #8: cost 0 inf + 8688 1554299979.206 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299979.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299979.206 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299979.207 * * [misc]simplify: iters left: 6 (20 enodes) 1554299979.216 * * [misc]simplify: iters left: 5 (71 enodes) 1554299979.238 * * [misc]simplify: iters left: 4 (86 enodes) 1554299979.259 * * [misc]simplify: iters left: 3 (102 enodes) 1554299979.273 * * [misc]simplify: iters left: 2 (110 enodes) 1554299979.289 * * [misc]simplify: iters left: 1 (121 enodes) 1554299979.320 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299979.320 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299979.320 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299979.320 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299979.320 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299979.321 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299979.322 * * [misc]simplify: Extracting #6: cost 20 inf + 2996 1554299979.323 * * [misc]simplify: Extracting #7: cost 13 inf + 5029 1554299979.325 * * [misc]simplify: Extracting #8: cost 8 inf + 7666 1554299979.328 * * [misc]simplify: Extracting #9: cost 0 inf + 13550 1554299979.332 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299979.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299979.332 * * * * [misc]progress: [ 371 / 621 ] simplifiying candidate # 1554299979.332 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299979.333 * * [misc]simplify: iters left: 6 (18 enodes) 1554299979.341 * * [misc]simplify: iters left: 5 (60 enodes) 1554299979.350 * * [misc]simplify: iters left: 4 (67 enodes) 1554299979.359 * * [misc]simplify: iters left: 3 (70 enodes) 1554299979.368 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299979.368 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299979.368 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299979.368 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299979.368 * * [misc]simplify: Extracting #4: cost 25 inf + 1 1554299979.368 * * [misc]simplify: Extracting #5: cost 21 inf + 130 1554299979.369 * * [misc]simplify: Extracting #6: cost 5 inf + 3453 1554299979.369 * * [misc]simplify: Extracting #7: cost 0 inf + 5812 1554299979.370 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299979.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299979.370 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299979.370 * * [misc]simplify: iters left: 6 (20 enodes) 1554299979.376 * * [misc]simplify: iters left: 5 (71 enodes) 1554299979.397 * * [misc]simplify: iters left: 4 (86 enodes) 1554299979.425 * * [misc]simplify: iters left: 3 (102 enodes) 1554299979.443 * * [misc]simplify: iters left: 2 (110 enodes) 1554299979.459 * * [misc]simplify: iters left: 1 (121 enodes) 1554299979.488 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299979.489 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299979.489 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299979.489 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299979.489 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299979.490 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299979.490 * * [misc]simplify: Extracting #6: cost 20 inf + 2996 1554299979.492 * * [misc]simplify: Extracting #7: cost 13 inf + 5029 1554299979.493 * * [misc]simplify: Extracting #8: cost 8 inf + 7506 1554299979.497 * * [misc]simplify: Extracting #9: cost 0 inf + 13070 1554299979.500 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299979.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299979.500 * * * * [misc]progress: [ 372 / 621 ] simplifiying candidate # 1554299979.501 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299979.501 * * [misc]simplify: iters left: 6 (21 enodes) 1554299979.511 * * [misc]simplify: iters left: 5 (77 enodes) 1554299979.536 * * [misc]simplify: iters left: 4 (121 enodes) 1554299979.583 * * [misc]simplify: iters left: 3 (201 enodes) 1554299979.635 * * [misc]simplify: iters left: 2 (324 enodes) 1554299979.758 * * [misc]simplify: iters left: 1 (475 enodes) 1554299980.016 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299980.016 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299980.017 * * [misc]simplify: Extracting #2: cost 65 inf + 1 1554299980.017 * * [misc]simplify: Extracting #3: cost 73 inf + 1 1554299980.018 * * [misc]simplify: Extracting #4: cost 79 inf + 3 1554299980.019 * * [misc]simplify: Extracting #5: cost 73 inf + 411 1554299980.020 * * [misc]simplify: Extracting #6: cost 60 inf + 2150 1554299980.027 * * [misc]simplify: Extracting #7: cost 16 inf + 29744 1554299980.045 * * [misc]simplify: Extracting #8: cost 0 inf + 40757 1554299980.062 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1554299980.062 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299980.062 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299980.063 * * [misc]simplify: iters left: 6 (21 enodes) 1554299980.073 * * [misc]simplify: iters left: 5 (76 enodes) 1554299980.095 * * [misc]simplify: iters left: 4 (101 enodes) 1554299980.126 * * [misc]simplify: iters left: 3 (154 enodes) 1554299980.155 * * [misc]simplify: iters left: 2 (219 enodes) 1554299980.213 * * [misc]simplify: iters left: 1 (316 enodes) 1554299980.344 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299980.345 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299980.345 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299980.346 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299980.347 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299980.348 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299980.349 * * [misc]simplify: Extracting #6: cost 53 inf + 3377 1554299980.352 * * [misc]simplify: Extracting #7: cost 37 inf + 10627 1554299980.363 * * [misc]simplify: Extracting #8: cost 9 inf + 28455 1554299980.375 * * [misc]simplify: Extracting #9: cost 0 inf + 34423 1554299980.388 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299980.388 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299980.388 * * * * [misc]progress: [ 373 / 621 ] simplifiying candidate # 1554299980.388 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299980.389 * * [misc]simplify: iters left: 6 (20 enodes) 1554299980.398 * * [misc]simplify: iters left: 5 (70 enodes) 1554299980.419 * * [misc]simplify: iters left: 4 (93 enodes) 1554299980.449 * * [misc]simplify: iters left: 3 (133 enodes) 1554299980.491 * * [misc]simplify: iters left: 2 (177 enodes) 1554299980.549 * * [misc]simplify: iters left: 1 (221 enodes) 1554299980.598 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299980.598 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299980.598 * * [misc]simplify: Extracting #2: cost 37 inf + 1 1554299980.598 * * [misc]simplify: Extracting #3: cost 45 inf + 1 1554299980.598 * * [misc]simplify: Extracting #4: cost 51 inf + 3 1554299980.598 * * [misc]simplify: Extracting #5: cost 45 inf + 371 1554299980.599 * * [misc]simplify: Extracting #6: cost 36 inf + 1491 1554299980.599 * * [misc]simplify: Extracting #7: cost 17 inf + 9237 1554299980.602 * * [misc]simplify: Extracting #8: cost 0 inf + 18964 1554299980.606 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) 1554299980.606 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299980.607 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299980.607 * * [misc]simplify: iters left: 6 (21 enodes) 1554299980.614 * * [misc]simplify: iters left: 5 (76 enodes) 1554299980.637 * * [misc]simplify: iters left: 4 (101 enodes) 1554299980.667 * * [misc]simplify: iters left: 3 (154 enodes) 1554299980.692 * * [misc]simplify: iters left: 2 (219 enodes) 1554299980.753 * * [misc]simplify: iters left: 1 (316 enodes) 1554299980.869 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299980.869 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299980.870 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299980.870 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299980.871 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299980.872 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299980.873 * * [misc]simplify: Extracting #6: cost 53 inf + 3377 1554299980.876 * * [misc]simplify: Extracting #7: cost 37 inf + 10627 1554299980.884 * * [misc]simplify: Extracting #8: cost 9 inf + 27535 1554299980.896 * * [misc]simplify: Extracting #9: cost 0 inf + 33143 1554299980.910 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299980.910 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299980.910 * * * * [misc]progress: [ 374 / 621 ] simplifiying candidate # 1554299980.910 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299980.911 * * [misc]simplify: iters left: 6 (16 enodes) 1554299980.918 * * [misc]simplify: iters left: 5 (55 enodes) 1554299980.928 * * [misc]simplify: iters left: 4 (80 enodes) 1554299980.941 * * [misc]simplify: iters left: 3 (109 enodes) 1554299980.973 * * [misc]simplify: iters left: 2 (133 enodes) 1554299981.010 * * [misc]simplify: iters left: 1 (156 enodes) 1554299981.067 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299981.067 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299981.068 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299981.068 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299981.068 * * [misc]simplify: Extracting #4: cost 33 inf + 2 1554299981.068 * * [misc]simplify: Extracting #5: cost 29 inf + 291 1554299981.069 * * [misc]simplify: Extracting #6: cost 16 inf + 1889 1554299981.071 * * [misc]simplify: Extracting #7: cost 3 inf + 7114 1554299981.075 * * [misc]simplify: Extracting #8: cost 0 inf + 8637 1554299981.079 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299981.079 * [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)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299981.079 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299981.080 * * [misc]simplify: iters left: 6 (20 enodes) 1554299981.090 * * [misc]simplify: iters left: 5 (73 enodes) 1554299981.113 * * [misc]simplify: iters left: 4 (98 enodes) 1554299981.143 * * [misc]simplify: iters left: 3 (151 enodes) 1554299981.195 * * [misc]simplify: iters left: 2 (216 enodes) 1554299981.236 * * [misc]simplify: iters left: 1 (314 enodes) 1554299981.346 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299981.346 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299981.346 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299981.346 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299981.347 * * [misc]simplify: Extracting #4: cost 68 inf + 575 1554299981.347 * * [misc]simplify: Extracting #5: cost 56 inf + 2099 1554299981.349 * * [misc]simplify: Extracting #6: cost 34 inf + 10344 1554299981.353 * * [misc]simplify: Extracting #7: cost 2 inf + 29866 1554299981.361 * * [misc]simplify: Extracting #8: cost 0 inf + 31277 1554299981.373 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299981.373 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299981.373 * * * * [misc]progress: [ 375 / 621 ] simplifiying candidate # 1554299981.374 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299981.374 * * [misc]simplify: iters left: 6 (20 enodes) 1554299981.384 * * [misc]simplify: iters left: 5 (70 enodes) 1554299981.405 * * [misc]simplify: iters left: 4 (92 enodes) 1554299981.431 * * [misc]simplify: iters left: 3 (126 enodes) 1554299981.453 * * [misc]simplify: iters left: 2 (178 enodes) 1554299981.494 * * [misc]simplify: iters left: 1 (241 enodes) 1554299981.564 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299981.564 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299981.564 * * [misc]simplify: Extracting #2: cost 42 inf + 1 1554299981.564 * * [misc]simplify: Extracting #3: cost 50 inf + 1 1554299981.565 * * [misc]simplify: Extracting #4: cost 56 inf + 3 1554299981.565 * * [misc]simplify: Extracting #5: cost 50 inf + 291 1554299981.565 * * [misc]simplify: Extracting #6: cost 40 inf + 2037 1554299981.567 * * [misc]simplify: Extracting #7: cost 11 inf + 16521 1554299981.571 * * [misc]simplify: Extracting #8: cost 0 inf + 23819 1554299981.575 * * [misc]simplify: Extracting #9: cost 0 inf + 23778 1554299981.579 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299981.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299981.579 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299981.579 * * [misc]simplify: iters left: 6 (21 enodes) 1554299981.585 * * [misc]simplify: iters left: 5 (76 enodes) 1554299981.607 * * [misc]simplify: iters left: 4 (101 enodes) 1554299981.638 * * [misc]simplify: iters left: 3 (154 enodes) 1554299981.672 * * [misc]simplify: iters left: 2 (219 enodes) 1554299981.720 * * [misc]simplify: iters left: 1 (316 enodes) 1554299981.831 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299981.832 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299981.832 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299981.833 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299981.834 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299981.835 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299981.836 * * [misc]simplify: Extracting #6: cost 53 inf + 3137 1554299981.839 * * [misc]simplify: Extracting #7: cost 37 inf + 10067 1554299981.847 * * [misc]simplify: Extracting #8: cost 9 inf + 27335 1554299981.859 * * [misc]simplify: Extracting #9: cost 0 inf + 33143 1554299981.871 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299981.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299981.871 * * * * [misc]progress: [ 376 / 621 ] simplifiying candidate # 1554299981.872 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299981.872 * * [misc]simplify: iters left: 6 (19 enodes) 1554299981.880 * * [misc]simplify: iters left: 5 (65 enodes) 1554299981.899 * * [misc]simplify: iters left: 4 (79 enodes) 1554299981.922 * * [misc]simplify: iters left: 3 (97 enodes) 1554299981.950 * * [misc]simplify: iters left: 2 (113 enodes) 1554299981.978 * * [misc]simplify: iters left: 1 (132 enodes) 1554299982.001 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299982.001 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299982.001 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299982.001 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554299982.002 * * [misc]simplify: Extracting #4: cost 40 inf + 3 1554299982.002 * * [misc]simplify: Extracting #5: cost 35 inf + 211 1554299982.002 * * [misc]simplify: Extracting #6: cost 22 inf + 2531 1554299982.003 * * [misc]simplify: Extracting #7: cost 7 inf + 8948 1554299982.004 * * [misc]simplify: Extracting #8: cost 0 inf + 12418 1554299982.006 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299982.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299982.007 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299982.007 * * [misc]simplify: iters left: 6 (21 enodes) 1554299982.012 * * [misc]simplify: iters left: 5 (76 enodes) 1554299982.024 * * [misc]simplify: iters left: 4 (101 enodes) 1554299982.058 * * [misc]simplify: iters left: 3 (154 enodes) 1554299982.108 * * [misc]simplify: iters left: 2 (219 enodes) 1554299982.187 * * [misc]simplify: iters left: 1 (316 enodes) 1554299982.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299982.307 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299982.307 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299982.307 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299982.307 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299982.308 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299982.309 * * [misc]simplify: Extracting #6: cost 53 inf + 3137 1554299982.310 * * [misc]simplify: Extracting #7: cost 37 inf + 10067 1554299982.314 * * [misc]simplify: Extracting #8: cost 9 inf + 26415 1554299982.321 * * [misc]simplify: Extracting #9: cost 0 inf + 31863 1554299982.327 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299982.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299982.327 * * * * [misc]progress: [ 377 / 621 ] simplifiying candidate # 1554299982.328 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) 1)) 1554299982.328 * * [misc]simplify: iters left: 6 (15 enodes) 1554299982.332 * * [misc]simplify: iters left: 5 (50 enodes) 1554299982.340 * * [misc]simplify: iters left: 4 (61 enodes) 1554299982.353 * * [misc]simplify: iters left: 3 (76 enodes) 1554299982.365 * * [misc]simplify: iters left: 2 (87 enodes) 1554299982.376 * * [misc]simplify: iters left: 1 (97 enodes) 1554299982.404 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299982.404 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299982.404 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299982.404 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299982.404 * * [misc]simplify: Extracting #4: cost 23 inf + 124 1554299982.405 * * [misc]simplify: Extracting #5: cost 19 inf + 413 1554299982.405 * * [misc]simplify: Extracting #6: cost 10 inf + 1618 1554299982.406 * * [misc]simplify: Extracting #7: cost 2 inf + 4465 1554299982.408 * * [misc]simplify: Extracting #8: cost 0 inf + 5295 1554299982.410 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299982.411 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299982.411 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299982.411 * * [misc]simplify: iters left: 6 (20 enodes) 1554299982.421 * * [misc]simplify: iters left: 5 (73 enodes) 1554299982.444 * * [misc]simplify: iters left: 4 (98 enodes) 1554299982.474 * * [misc]simplify: iters left: 3 (151 enodes) 1554299982.514 * * [misc]simplify: iters left: 2 (216 enodes) 1554299982.571 * * [misc]simplify: iters left: 1 (314 enodes) 1554299982.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299982.669 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299982.670 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299982.670 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299982.671 * * [misc]simplify: Extracting #4: cost 68 inf + 495 1554299982.672 * * [misc]simplify: Extracting #5: cost 56 inf + 1899 1554299982.675 * * [misc]simplify: Extracting #6: cost 34 inf + 9744 1554299982.684 * * [misc]simplify: Extracting #7: cost 2 inf + 28586 1554299982.695 * * [misc]simplify: Extracting #8: cost 0 inf + 29997 1554299982.706 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299982.706 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299982.706 * * * * [misc]progress: [ 378 / 621 ] simplifiying candidate # 1554299982.707 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299982.707 * * [misc]simplify: iters left: 6 (18 enodes) 1554299982.716 * * [misc]simplify: iters left: 5 (63 enodes) 1554299982.735 * * [misc]simplify: iters left: 4 (81 enodes) 1554299982.760 * * [misc]simplify: iters left: 3 (94 enodes) 1554299982.786 * * [misc]simplify: iters left: 2 (103 enodes) 1554299982.802 * * [misc]simplify: iters left: 1 (120 enodes) 1554299982.829 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299982.829 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299982.829 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299982.829 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299982.829 * * [misc]simplify: Extracting #4: cost 33 inf + 2 1554299982.829 * * [misc]simplify: Extracting #5: cost 33 inf + 5 1554299982.830 * * [misc]simplify: Extracting #6: cost 28 inf + 173 1554299982.830 * * [misc]simplify: Extracting #7: cost 22 inf + 1089 1554299982.831 * * [misc]simplify: Extracting #8: cost 17 inf + 2295 1554299982.832 * * [misc]simplify: Extracting #9: cost 10 inf + 6067 1554299982.834 * * [misc]simplify: Extracting #10: cost 2 inf + 10450 1554299982.837 * * [misc]simplify: Extracting #11: cost 0 inf + 11358 1554299982.841 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) 1554299982.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299982.841 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299982.842 * * [misc]simplify: iters left: 6 (20 enodes) 1554299982.851 * * [misc]simplify: iters left: 5 (73 enodes) 1554299982.874 * * [misc]simplify: iters left: 4 (98 enodes) 1554299982.905 * * [misc]simplify: iters left: 3 (151 enodes) 1554299982.934 * * [misc]simplify: iters left: 2 (216 enodes) 1554299983.006 * * [misc]simplify: iters left: 1 (313 enodes) 1554299983.132 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299983.132 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299983.133 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299983.133 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299983.134 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299983.135 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299983.137 * * [misc]simplify: Extracting #6: cost 43 inf + 6824 1554299983.143 * * [misc]simplify: Extracting #7: cost 8 inf + 27245 1554299983.153 * * [misc]simplify: Extracting #8: cost 0 inf + 31781 1554299983.162 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299983.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299983.163 * * * * [misc]progress: [ 379 / 621 ] simplifiying candidate # 1554299983.163 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299983.163 * * [misc]simplify: iters left: 6 (17 enodes) 1554299983.170 * * [misc]simplify: iters left: 5 (58 enodes) 1554299983.186 * * [misc]simplify: iters left: 4 (68 enodes) 1554299983.196 * * [misc]simplify: iters left: 3 (70 enodes) 1554299983.206 * * [misc]simplify: iters left: 2 (73 enodes) 1554299983.215 * * [misc]simplify: iters left: 1 (74 enodes) 1554299983.234 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299983.235 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299983.235 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299983.235 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299983.235 * * [misc]simplify: Extracting #4: cost 25 inf + 2 1554299983.235 * * [misc]simplify: Extracting #5: cost 25 inf + 5 1554299983.235 * * [misc]simplify: Extracting #6: cost 20 inf + 174 1554299983.236 * * [misc]simplify: Extracting #7: cost 12 inf + 1465 1554299983.236 * * [misc]simplify: Extracting #8: cost 3 inf + 4748 1554299983.237 * * [misc]simplify: Extracting #9: cost 0 inf + 6242 1554299983.238 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299983.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299983.238 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299983.238 * * [misc]simplify: iters left: 6 (20 enodes) 1554299983.244 * * [misc]simplify: iters left: 5 (73 enodes) 1554299983.254 * * [misc]simplify: iters left: 4 (98 enodes) 1554299983.274 * * [misc]simplify: iters left: 3 (151 enodes) 1554299983.303 * * [misc]simplify: iters left: 2 (216 enodes) 1554299983.351 * * [misc]simplify: iters left: 1 (313 enodes) 1554299983.456 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299983.456 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299983.456 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299983.456 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299983.457 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299983.457 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299983.458 * * [misc]simplify: Extracting #6: cost 43 inf + 6744 1554299983.462 * * [misc]simplify: Extracting #7: cost 8 inf + 26165 1554299983.474 * * [misc]simplify: Extracting #8: cost 0 inf + 30501 1554299983.485 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299983.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299983.486 * * * * [misc]progress: [ 380 / 621 ] simplifiying candidate # 1554299983.486 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 1)) 1554299983.486 * * [misc]simplify: iters left: 6 (13 enodes) 1554299983.493 * * [misc]simplify: iters left: 5 (40 enodes) 1554299983.504 * * [misc]simplify: iters left: 4 (47 enodes) 1554299983.517 * * [misc]simplify: iters left: 3 (49 enodes) 1554299983.529 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299983.529 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299983.529 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299983.529 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299983.529 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299983.530 * * [misc]simplify: Extracting #5: cost 10 inf + 172 1554299983.530 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554299983.530 * * [misc]simplify: Extracting #7: cost 1 inf + 1627 1554299983.531 * * [misc]simplify: Extracting #8: cost 0 inf + 2001 1554299983.531 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299983.531 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299983.532 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299983.532 * * [misc]simplify: iters left: 6 (19 enodes) 1554299983.541 * * [misc]simplify: iters left: 5 (70 enodes) 1554299983.561 * * [misc]simplify: iters left: 4 (95 enodes) 1554299983.590 * * [misc]simplify: iters left: 3 (148 enodes) 1554299983.630 * * [misc]simplify: iters left: 2 (213 enodes) 1554299983.686 * * [misc]simplify: iters left: 1 (312 enodes) 1554299983.798 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299983.798 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299983.798 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299983.799 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299983.799 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299983.800 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299983.801 * * [misc]simplify: Extracting #6: cost 32 inf + 10468 1554299983.805 * * [misc]simplify: Extracting #7: cost 4 inf + 26274 1554299983.810 * * [misc]simplify: Extracting #8: cost 0 inf + 28635 1554299983.816 * [exit]simplify: Simplified to (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299983.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299983.816 * * * * [misc]progress: [ 381 / 621 ] simplifiying candidate # 1554299983.816 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1) 1554299983.816 * * [misc]simplify: iters left: 6 (12 enodes) 1554299983.820 * * [misc]simplify: iters left: 5 (37 enodes) 1554299983.826 * * [misc]simplify: iters left: 4 (46 enodes) 1554299983.834 * * [misc]simplify: iters left: 3 (48 enodes) 1554299983.847 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299983.847 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299983.847 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299983.847 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299983.847 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299983.847 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1554299983.848 * * [misc]simplify: Extracting #6: cost 3 inf + 1171 1554299983.848 * * [misc]simplify: Extracting #7: cost 1 inf + 1627 1554299983.849 * * [misc]simplify: Extracting #8: cost 0 inf + 2001 1554299983.850 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299983.850 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299983.850 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299983.850 * * [misc]simplify: iters left: 6 (19 enodes) 1554299983.860 * * [misc]simplify: iters left: 5 (70 enodes) 1554299983.871 * * [misc]simplify: iters left: 4 (95 enodes) 1554299983.888 * * [misc]simplify: iters left: 3 (148 enodes) 1554299983.933 * * [misc]simplify: iters left: 2 (213 enodes) 1554299984.017 * * [misc]simplify: iters left: 1 (312 enodes) 1554299984.170 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.170 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299984.171 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299984.172 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299984.173 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299984.174 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299984.176 * * [misc]simplify: Extracting #6: cost 32 inf + 10468 1554299984.185 * * [misc]simplify: Extracting #7: cost 4 inf + 26274 1554299984.196 * * [misc]simplify: Extracting #8: cost 0 inf + 28635 1554299984.208 * [exit]simplify: Simplified to (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299984.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299984.208 * * * * [misc]progress: [ 382 / 621 ] simplifiying candidate # 1554299984.208 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k)) 1554299984.208 * * [misc]simplify: iters left: 6 (13 enodes) 1554299984.215 * * [misc]simplify: iters left: 5 (44 enodes) 1554299984.229 * * [misc]simplify: iters left: 4 (53 enodes) 1554299984.244 * * [misc]simplify: iters left: 3 (58 enodes) 1554299984.259 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.259 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299984.259 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299984.259 * * [misc]simplify: Extracting #3: cost 8 inf + 84 1554299984.259 * * [misc]simplify: Extracting #4: cost 15 inf + 84 1554299984.259 * * [misc]simplify: Extracting #5: cost 14 inf + 129 1554299984.260 * * [misc]simplify: Extracting #6: cost 6 inf + 960 1554299984.260 * * [misc]simplify: Extracting #7: cost 2 inf + 2163 1554299984.261 * * [misc]simplify: Extracting #8: cost 0 inf + 2991 1554299984.262 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299984.262 * [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))) (/ 1 (pow PI (- (/ k 2))))))) 1554299984.262 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299984.263 * * [misc]simplify: iters left: 6 (18 enodes) 1554299984.275 * * [misc]simplify: iters left: 5 (67 enodes) 1554299984.288 * * [misc]simplify: iters left: 4 (83 enodes) 1554299984.301 * * [misc]simplify: iters left: 3 (101 enodes) 1554299984.320 * * [misc]simplify: iters left: 2 (124 enodes) 1554299984.356 * * [misc]simplify: iters left: 1 (138 enodes) 1554299984.395 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.395 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299984.395 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299984.396 * * [misc]simplify: Extracting #3: cost 30 inf + 167 1554299984.396 * * [misc]simplify: Extracting #4: cost 34 inf + 250 1554299984.396 * * [misc]simplify: Extracting #5: cost 29 inf + 376 1554299984.397 * * [misc]simplify: Extracting #6: cost 14 inf + 4910 1554299984.398 * * [misc]simplify: Extracting #7: cost 1 inf + 9883 1554299984.400 * * [misc]simplify: Extracting #8: cost 0 inf + 10628 1554299984.402 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299984.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (pow PI (- (/ k 2))) (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299984.402 * * * * [misc]progress: [ 383 / 621 ] simplifiying candidate # 1554299984.402 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) 1)) 1554299984.402 * * [misc]simplify: iters left: 6 (14 enodes) 1554299984.406 * * [misc]simplify: iters left: 5 (47 enodes) 1554299984.413 * * [misc]simplify: iters left: 4 (58 enodes) 1554299984.422 * * [misc]simplify: iters left: 3 (73 enodes) 1554299984.439 * * [misc]simplify: iters left: 2 (84 enodes) 1554299984.451 * * [misc]simplify: iters left: 1 (94 enodes) 1554299984.465 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.465 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299984.465 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299984.465 * * [misc]simplify: Extracting #3: cost 13 inf + 166 1554299984.465 * * [misc]simplify: Extracting #4: cost 19 inf + 248 1554299984.465 * * [misc]simplify: Extracting #5: cost 18 inf + 293 1554299984.465 * * [misc]simplify: Extracting #6: cost 9 inf + 1458 1554299984.466 * * [misc]simplify: Extracting #7: cost 2 inf + 3985 1554299984.467 * * [misc]simplify: Extracting #8: cost 0 inf + 4893 1554299984.468 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299984.468 * [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))) (pow PI (/ k 2))))) 1554299984.468 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299984.468 * * [misc]simplify: iters left: 6 (16 enodes) 1554299984.472 * * [misc]simplify: iters left: 5 (58 enodes) 1554299984.490 * * [misc]simplify: iters left: 4 (75 enodes) 1554299984.510 * * [misc]simplify: iters left: 3 (93 enodes) 1554299984.531 * * [misc]simplify: iters left: 2 (101 enodes) 1554299984.545 * * [misc]simplify: iters left: 1 (112 enodes) 1554299984.564 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.564 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299984.564 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299984.565 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299984.565 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299984.565 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299984.567 * * [misc]simplify: Extracting #6: cost 9 inf + 5456 1554299984.569 * * [misc]simplify: Extracting #7: cost 1 inf + 9321 1554299984.570 * * [misc]simplify: Extracting #8: cost 0 inf + 9736 1554299984.571 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299984.571 * [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)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299984.572 * * * * [misc]progress: [ 384 / 621 ] simplifiying candidate # 1554299984.572 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow PI 0))) 1554299984.572 * * [misc]simplify: iters left: 6 (17 enodes) 1554299984.576 * * [misc]simplify: iters left: 5 (55 enodes) 1554299984.586 * * [misc]simplify: iters left: 4 (62 enodes) 1554299984.596 * * [misc]simplify: iters left: 3 (76 enodes) 1554299984.609 * * [misc]simplify: iters left: 2 (84 enodes) 1554299984.628 * * [misc]simplify: iters left: 1 (91 enodes) 1554299984.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.640 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299984.640 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299984.640 * * [misc]simplify: Extracting #3: cost 15 inf + 43 1554299984.640 * * [misc]simplify: Extracting #4: cost 19 inf + 248 1554299984.641 * * [misc]simplify: Extracting #5: cost 18 inf + 293 1554299984.641 * * [misc]simplify: Extracting #6: cost 9 inf + 1458 1554299984.641 * * [misc]simplify: Extracting #7: cost 3 inf + 3531 1554299984.642 * * [misc]simplify: Extracting #8: cost 0 inf + 4893 1554299984.643 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299984.643 * [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))) (pow PI (/ k 2))))) 1554299984.643 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299984.644 * * [misc]simplify: iters left: 6 (16 enodes) 1554299984.648 * * [misc]simplify: iters left: 5 (58 enodes) 1554299984.659 * * [misc]simplify: iters left: 4 (75 enodes) 1554299984.681 * * [misc]simplify: iters left: 3 (93 enodes) 1554299984.709 * * [misc]simplify: iters left: 2 (101 enodes) 1554299984.728 * * [misc]simplify: iters left: 1 (112 enodes) 1554299984.743 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.743 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299984.743 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299984.743 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299984.743 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299984.743 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299984.744 * * [misc]simplify: Extracting #6: cost 9 inf + 5456 1554299984.745 * * [misc]simplify: Extracting #7: cost 1 inf + 9321 1554299984.747 * * [misc]simplify: Extracting #8: cost 0 inf + 9736 1554299984.748 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299984.748 * [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)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299984.748 * * * * [misc]progress: [ 385 / 621 ] simplifiying candidate # 1554299984.748 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299984.748 * * [misc]simplify: iters left: 6 (19 enodes) 1554299984.757 * * [misc]simplify: iters left: 5 (65 enodes) 1554299984.776 * * [misc]simplify: iters left: 4 (76 enodes) 1554299984.793 * * [misc]simplify: iters left: 3 (81 enodes) 1554299984.805 * * [misc]simplify: iters left: 2 (82 enodes) 1554299984.815 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.815 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299984.815 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299984.815 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299984.815 * * [misc]simplify: Extracting #4: cost 29 inf + 1 1554299984.815 * * [misc]simplify: Extracting #5: cost 25 inf + 130 1554299984.816 * * [misc]simplify: Extracting #6: cost 14 inf + 2039 1554299984.816 * * [misc]simplify: Extracting #7: cost 5 inf + 4934 1554299984.817 * * [misc]simplify: Extracting #8: cost 0 inf + 8688 1554299984.818 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299984.818 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299984.818 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299984.818 * * [misc]simplify: iters left: 6 (20 enodes) 1554299984.825 * * [misc]simplify: iters left: 5 (71 enodes) 1554299984.845 * * [misc]simplify: iters left: 4 (86 enodes) 1554299984.869 * * [misc]simplify: iters left: 3 (102 enodes) 1554299984.897 * * [misc]simplify: iters left: 2 (110 enodes) 1554299984.926 * * [misc]simplify: iters left: 1 (121 enodes) 1554299984.961 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299984.961 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299984.961 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299984.961 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299984.961 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299984.962 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299984.962 * * [misc]simplify: Extracting #6: cost 20 inf + 2996 1554299984.964 * * [misc]simplify: Extracting #7: cost 13 inf + 5029 1554299984.965 * * [misc]simplify: Extracting #8: cost 8 inf + 7666 1554299984.969 * * [misc]simplify: Extracting #9: cost 0 inf + 13550 1554299984.972 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299984.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299984.972 * * * * [misc]progress: [ 386 / 621 ] simplifiying candidate # 1554299984.973 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299984.973 * * [misc]simplify: iters left: 6 (18 enodes) 1554299984.979 * * [misc]simplify: iters left: 5 (60 enodes) 1554299984.988 * * [misc]simplify: iters left: 4 (67 enodes) 1554299984.997 * * [misc]simplify: iters left: 3 (70 enodes) 1554299985.008 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299985.008 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299985.008 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299985.008 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299985.009 * * [misc]simplify: Extracting #4: cost 25 inf + 1 1554299985.009 * * [misc]simplify: Extracting #5: cost 21 inf + 130 1554299985.009 * * [misc]simplify: Extracting #6: cost 5 inf + 3453 1554299985.010 * * [misc]simplify: Extracting #7: cost 0 inf + 5812 1554299985.012 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299985.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299985.012 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299985.012 * * [misc]simplify: iters left: 6 (20 enodes) 1554299985.022 * * [misc]simplify: iters left: 5 (71 enodes) 1554299985.042 * * [misc]simplify: iters left: 4 (86 enodes) 1554299985.069 * * [misc]simplify: iters left: 3 (102 enodes) 1554299985.091 * * [misc]simplify: iters left: 2 (110 enodes) 1554299985.106 * * [misc]simplify: iters left: 1 (121 enodes) 1554299985.123 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299985.123 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299985.123 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299985.123 * * [misc]simplify: Extracting #3: cost 27 inf + 167 1554299985.123 * * [misc]simplify: Extracting #4: cost 35 inf + 249 1554299985.124 * * [misc]simplify: Extracting #5: cost 34 inf + 294 1554299985.124 * * [misc]simplify: Extracting #6: cost 20 inf + 2996 1554299985.126 * * [misc]simplify: Extracting #7: cost 13 inf + 5029 1554299985.127 * * [misc]simplify: Extracting #8: cost 8 inf + 7506 1554299985.130 * * [misc]simplify: Extracting #9: cost 0 inf + 13070 1554299985.134 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299985.134 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299985.134 * * * * [misc]progress: [ 387 / 621 ] simplifiying candidate # 1554299985.135 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299985.135 * * [misc]simplify: iters left: 6 (21 enodes) 1554299985.145 * * [misc]simplify: iters left: 5 (77 enodes) 1554299985.163 * * [misc]simplify: iters left: 4 (121 enodes) 1554299985.187 * * [misc]simplify: iters left: 3 (201 enodes) 1554299985.247 * * [misc]simplify: iters left: 2 (324 enodes) 1554299985.368 * * [misc]simplify: iters left: 1 (475 enodes) 1554299985.613 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299985.614 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554299985.614 * * [misc]simplify: Extracting #2: cost 65 inf + 1 1554299985.614 * * [misc]simplify: Extracting #3: cost 73 inf + 1 1554299985.615 * * [misc]simplify: Extracting #4: cost 79 inf + 3 1554299985.615 * * [misc]simplify: Extracting #5: cost 73 inf + 411 1554299985.617 * * [misc]simplify: Extracting #6: cost 60 inf + 2150 1554299985.621 * * [misc]simplify: Extracting #7: cost 16 inf + 29744 1554299985.629 * * [misc]simplify: Extracting #8: cost 0 inf + 40757 1554299985.637 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1554299985.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299985.637 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299985.638 * * [misc]simplify: iters left: 6 (21 enodes) 1554299985.643 * * [misc]simplify: iters left: 5 (76 enodes) 1554299985.655 * * [misc]simplify: iters left: 4 (101 enodes) 1554299985.680 * * [misc]simplify: iters left: 3 (154 enodes) 1554299985.721 * * [misc]simplify: iters left: 2 (219 enodes) 1554299985.777 * * [misc]simplify: iters left: 1 (316 enodes) 1554299985.904 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299985.904 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299985.905 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299985.905 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299985.907 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299985.907 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299985.908 * * [misc]simplify: Extracting #6: cost 53 inf + 3377 1554299985.910 * * [misc]simplify: Extracting #7: cost 37 inf + 10627 1554299985.915 * * [misc]simplify: Extracting #8: cost 9 inf + 28455 1554299985.927 * * [misc]simplify: Extracting #9: cost 0 inf + 34423 1554299985.939 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299985.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299985.940 * * * * [misc]progress: [ 388 / 621 ] simplifiying candidate # 1554299985.940 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299985.940 * * [misc]simplify: iters left: 6 (20 enodes) 1554299985.950 * * [misc]simplify: iters left: 5 (70 enodes) 1554299985.971 * * [misc]simplify: iters left: 4 (93 enodes) 1554299986.000 * * [misc]simplify: iters left: 3 (133 enodes) 1554299986.043 * * [misc]simplify: iters left: 2 (177 enodes) 1554299986.091 * * [misc]simplify: iters left: 1 (221 enodes) 1554299986.129 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299986.129 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554299986.129 * * [misc]simplify: Extracting #2: cost 37 inf + 1 1554299986.129 * * [misc]simplify: Extracting #3: cost 45 inf + 1 1554299986.130 * * [misc]simplify: Extracting #4: cost 51 inf + 3 1554299986.130 * * [misc]simplify: Extracting #5: cost 45 inf + 371 1554299986.130 * * [misc]simplify: Extracting #6: cost 36 inf + 1491 1554299986.131 * * [misc]simplify: Extracting #7: cost 17 inf + 9237 1554299986.135 * * [misc]simplify: Extracting #8: cost 0 inf + 18964 1554299986.138 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) 1554299986.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299986.138 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299986.138 * * [misc]simplify: iters left: 6 (21 enodes) 1554299986.143 * * [misc]simplify: iters left: 5 (76 enodes) 1554299986.163 * * [misc]simplify: iters left: 4 (101 enodes) 1554299986.194 * * [misc]simplify: iters left: 3 (154 enodes) 1554299986.237 * * [misc]simplify: iters left: 2 (219 enodes) 1554299986.295 * * [misc]simplify: iters left: 1 (316 enodes) 1554299986.398 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299986.398 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299986.398 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299986.399 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299986.400 * * [misc]simplify: Extracting #4: cost 69 inf + 816 1554299986.401 * * [misc]simplify: Extracting #5: cost 65 inf + 1223 1554299986.402 * * [misc]simplify: Extracting #6: cost 53 inf + 3377 1554299986.406 * * [misc]simplify: Extracting #7: cost 37 inf + 10627 1554299986.414 * * [misc]simplify: Extracting #8: cost 9 inf + 27535 1554299986.428 * * [misc]simplify: Extracting #9: cost 0 inf + 33143 1554299986.440 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299986.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299986.441 * * * * [misc]progress: [ 389 / 621 ] simplifiying candidate # 1554299986.441 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299986.441 * * [misc]simplify: iters left: 6 (16 enodes) 1554299986.449 * * [misc]simplify: iters left: 5 (55 enodes) 1554299986.460 * * [misc]simplify: iters left: 4 (80 enodes) 1554299986.473 * * [misc]simplify: iters left: 3 (109 enodes) 1554299986.492 * * [misc]simplify: iters left: 2 (133 enodes) 1554299986.528 * * [misc]simplify: iters left: 1 (156 enodes) 1554299986.567 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299986.567 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299986.567 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299986.567 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299986.567 * * [misc]simplify: Extracting #4: cost 33 inf + 2 1554299986.568 * * [misc]simplify: Extracting #5: cost 29 inf + 291 1554299986.568 * * [misc]simplify: Extracting #6: cost 16 inf + 1889 1554299986.569 * * [misc]simplify: Extracting #7: cost 3 inf + 7114 1554299986.571 * * [misc]simplify: Extracting #8: cost 0 inf + 8637 1554299986.573 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299986.573 * [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)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299986.573 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299986.573 * * [misc]simplify: iters left: 6 (20 enodes) 1554299986.579 * * [misc]simplify: iters left: 5 (73 enodes) 1554299986.601 * * [misc]simplify: iters left: 4 (98 enodes) 1554299986.628 * * [misc]simplify: iters left: 3 (151 enodes) 1554299986.656 * * [misc]simplify: iters left: 2 (216 enodes) 1554299986.708 * * [misc]simplify: iters left: 1 (314 enodes) 1554299986.832 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299986.832 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299986.832 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299986.833 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299986.834 * * [misc]simplify: Extracting #4: cost 68 inf + 575 1554299986.835 * * [misc]simplify: Extracting #5: cost 56 inf + 2099 1554299986.837 * * [misc]simplify: Extracting #6: cost 34 inf + 10344 1554299986.845 * * [misc]simplify: Extracting #7: cost 2 inf + 29866 1554299986.851 * * [misc]simplify: Extracting #8: cost 0 inf + 31277 1554299986.857 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299986.857 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299986.857 * * * * [misc]progress: [ 390 / 621 ] simplifiying candidate # 1554299986.858 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299986.858 * * [misc]simplify: iters left: 6 (20 enodes) 1554299986.862 * * [misc]simplify: iters left: 5 (70 enodes) 1554299986.873 * * [misc]simplify: iters left: 4 (92 enodes) 1554299986.893 * * [misc]simplify: iters left: 3 (126 enodes) 1554299986.935 * * [misc]simplify: iters left: 2 (178 enodes) 1554299986.994 * * [misc]simplify: iters left: 1 (241 enodes) 1554299987.093 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299987.093 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299987.094 * * [misc]simplify: Extracting #2: cost 42 inf + 1 1554299987.094 * * [misc]simplify: Extracting #3: cost 50 inf + 1 1554299987.094 * * [misc]simplify: Extracting #4: cost 56 inf + 3 1554299987.095 * * [misc]simplify: Extracting #5: cost 50 inf + 291 1554299987.095 * * [misc]simplify: Extracting #6: cost 40 inf + 2037 1554299987.099 * * [misc]simplify: Extracting #7: cost 11 inf + 16521 1554299987.106 * * [misc]simplify: Extracting #8: cost 0 inf + 23819 1554299987.112 * * [misc]simplify: Extracting #9: cost 0 inf + 23778 1554299987.116 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299987.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299987.116 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299987.116 * * [misc]simplify: iters left: 6 (21 enodes) 1554299987.121 * * [misc]simplify: iters left: 5 (76 enodes) 1554299987.132 * * [misc]simplify: iters left: 4 (101 enodes) 1554299987.160 * * [misc]simplify: iters left: 3 (154 enodes) 1554299987.211 * * [misc]simplify: iters left: 2 (219 enodes) 1554299987.263 * * [misc]simplify: iters left: 1 (316 enodes) 1554299987.408 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299987.408 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299987.408 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299987.408 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299987.409 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299987.409 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299987.410 * * [misc]simplify: Extracting #6: cost 53 inf + 3137 1554299987.412 * * [misc]simplify: Extracting #7: cost 37 inf + 10067 1554299987.416 * * [misc]simplify: Extracting #8: cost 9 inf + 27335 1554299987.422 * * [misc]simplify: Extracting #9: cost 0 inf + 33143 1554299987.428 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))) 1554299987.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow PI (- (/ k 2))))))) 1554299987.429 * * * * [misc]progress: [ 391 / 621 ] simplifiying candidate # 1554299987.429 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299987.429 * * [misc]simplify: iters left: 6 (19 enodes) 1554299987.439 * * [misc]simplify: iters left: 5 (65 enodes) 1554299987.459 * * [misc]simplify: iters left: 4 (79 enodes) 1554299987.483 * * [misc]simplify: iters left: 3 (97 enodes) 1554299987.502 * * [misc]simplify: iters left: 2 (113 enodes) 1554299987.517 * * [misc]simplify: iters left: 1 (132 enodes) 1554299987.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299987.536 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299987.536 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299987.536 * * [misc]simplify: Extracting #3: cost 34 inf + 1 1554299987.536 * * [misc]simplify: Extracting #4: cost 40 inf + 3 1554299987.537 * * [misc]simplify: Extracting #5: cost 35 inf + 211 1554299987.537 * * [misc]simplify: Extracting #6: cost 22 inf + 2531 1554299987.538 * * [misc]simplify: Extracting #7: cost 7 inf + 8948 1554299987.539 * * [misc]simplify: Extracting #8: cost 0 inf + 12418 1554299987.541 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299987.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299987.541 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299987.542 * * [misc]simplify: iters left: 6 (21 enodes) 1554299987.547 * * [misc]simplify: iters left: 5 (76 enodes) 1554299987.565 * * [misc]simplify: iters left: 4 (101 enodes) 1554299987.584 * * [misc]simplify: iters left: 3 (154 enodes) 1554299987.634 * * [misc]simplify: iters left: 2 (219 enodes) 1554299987.685 * * [misc]simplify: iters left: 1 (316 enodes) 1554299987.809 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299987.809 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299987.809 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299987.810 * * [misc]simplify: Extracting #3: cost 68 inf + 208 1554299987.811 * * [misc]simplify: Extracting #4: cost 69 inf + 696 1554299987.812 * * [misc]simplify: Extracting #5: cost 65 inf + 1023 1554299987.813 * * [misc]simplify: Extracting #6: cost 53 inf + 3137 1554299987.816 * * [misc]simplify: Extracting #7: cost 37 inf + 10067 1554299987.824 * * [misc]simplify: Extracting #8: cost 9 inf + 26415 1554299987.836 * * [misc]simplify: Extracting #9: cost 0 inf + 31863 1554299987.849 * [exit]simplify: Simplified to (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))) 1554299987.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow PI (- (/ k 2))))))) 1554299987.850 * * * * [misc]progress: [ 392 / 621 ] simplifiying candidate # 1554299987.850 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) 1)) 1554299987.850 * * [misc]simplify: iters left: 6 (15 enodes) 1554299987.857 * * [misc]simplify: iters left: 5 (50 enodes) 1554299987.869 * * [misc]simplify: iters left: 4 (61 enodes) 1554299987.879 * * [misc]simplify: iters left: 3 (76 enodes) 1554299987.896 * * [misc]simplify: iters left: 2 (87 enodes) 1554299987.918 * * [misc]simplify: iters left: 1 (97 enodes) 1554299987.946 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299987.946 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299987.946 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299987.946 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299987.946 * * [misc]simplify: Extracting #4: cost 23 inf + 124 1554299987.947 * * [misc]simplify: Extracting #5: cost 19 inf + 413 1554299987.947 * * [misc]simplify: Extracting #6: cost 10 inf + 1618 1554299987.948 * * [misc]simplify: Extracting #7: cost 2 inf + 4465 1554299987.950 * * [misc]simplify: Extracting #8: cost 0 inf + 5295 1554299987.952 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1554299987.953 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299987.953 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299987.953 * * [misc]simplify: iters left: 6 (20 enodes) 1554299987.963 * * [misc]simplify: iters left: 5 (73 enodes) 1554299987.978 * * [misc]simplify: iters left: 4 (98 enodes) 1554299987.994 * * [misc]simplify: iters left: 3 (151 enodes) 1554299988.041 * * [misc]simplify: iters left: 2 (216 enodes) 1554299988.093 * * [misc]simplify: iters left: 1 (314 enodes) 1554299988.199 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299988.200 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299988.200 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299988.201 * * [misc]simplify: Extracting #3: cost 69 inf + 249 1554299988.202 * * [misc]simplify: Extracting #4: cost 68 inf + 495 1554299988.203 * * [misc]simplify: Extracting #5: cost 56 inf + 1899 1554299988.206 * * [misc]simplify: Extracting #6: cost 34 inf + 9744 1554299988.214 * * [misc]simplify: Extracting #7: cost 2 inf + 28586 1554299988.226 * * [misc]simplify: Extracting #8: cost 0 inf + 29997 1554299988.238 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow PI (- (/ k 2))))) 1554299988.238 * [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)) (sqrt PI)) (pow PI (- (/ k 2))))))) 1554299988.238 * * * * [misc]progress: [ 393 / 621 ] simplifiying candidate # 1554299988.239 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299988.239 * * [misc]simplify: iters left: 6 (18 enodes) 1554299988.248 * * [misc]simplify: iters left: 5 (63 enodes) 1554299988.267 * * [misc]simplify: iters left: 4 (81 enodes) 1554299988.291 * * [misc]simplify: iters left: 3 (94 enodes) 1554299988.320 * * [misc]simplify: iters left: 2 (103 enodes) 1554299988.346 * * [misc]simplify: iters left: 1 (120 enodes) 1554299988.382 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299988.382 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299988.382 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299988.382 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299988.382 * * [misc]simplify: Extracting #4: cost 33 inf + 2 1554299988.383 * * [misc]simplify: Extracting #5: cost 33 inf + 5 1554299988.383 * * [misc]simplify: Extracting #6: cost 28 inf + 173 1554299988.383 * * [misc]simplify: Extracting #7: cost 22 inf + 1089 1554299988.384 * * [misc]simplify: Extracting #8: cost 17 inf + 2295 1554299988.385 * * [misc]simplify: Extracting #9: cost 10 inf + 6067 1554299988.388 * * [misc]simplify: Extracting #10: cost 2 inf + 10450 1554299988.390 * * [misc]simplify: Extracting #11: cost 0 inf + 11358 1554299988.393 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) 1554299988.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299988.394 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299988.394 * * [misc]simplify: iters left: 6 (20 enodes) 1554299988.404 * * [misc]simplify: iters left: 5 (73 enodes) 1554299988.416 * * [misc]simplify: iters left: 4 (98 enodes) 1554299988.432 * * [misc]simplify: iters left: 3 (151 enodes) 1554299988.473 * * [misc]simplify: iters left: 2 (216 enodes) 1554299988.533 * * [misc]simplify: iters left: 1 (313 enodes) 1554299988.658 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299988.658 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299988.659 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299988.660 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299988.661 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299988.661 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299988.662 * * [misc]simplify: Extracting #6: cost 43 inf + 6824 1554299988.666 * * [misc]simplify: Extracting #7: cost 8 inf + 27245 1554299988.672 * * [misc]simplify: Extracting #8: cost 0 inf + 31781 1554299988.679 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299988.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299988.679 * * * * [misc]progress: [ 394 / 621 ] simplifiying candidate # 1554299988.679 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299988.679 * * [misc]simplify: iters left: 6 (17 enodes) 1554299988.684 * * [misc]simplify: iters left: 5 (58 enodes) 1554299988.693 * * [misc]simplify: iters left: 4 (68 enodes) 1554299988.712 * * [misc]simplify: iters left: 3 (70 enodes) 1554299988.727 * * [misc]simplify: iters left: 2 (73 enodes) 1554299988.738 * * [misc]simplify: iters left: 1 (74 enodes) 1554299988.748 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299988.748 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299988.748 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554299988.748 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299988.748 * * [misc]simplify: Extracting #4: cost 25 inf + 2 1554299988.748 * * [misc]simplify: Extracting #5: cost 25 inf + 5 1554299988.749 * * [misc]simplify: Extracting #6: cost 20 inf + 174 1554299988.749 * * [misc]simplify: Extracting #7: cost 12 inf + 1465 1554299988.749 * * [misc]simplify: Extracting #8: cost 3 inf + 4748 1554299988.750 * * [misc]simplify: Extracting #9: cost 0 inf + 6242 1554299988.751 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554299988.751 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299988.751 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299988.751 * * [misc]simplify: iters left: 6 (20 enodes) 1554299988.756 * * [misc]simplify: iters left: 5 (73 enodes) 1554299988.768 * * [misc]simplify: iters left: 4 (98 enodes) 1554299988.784 * * [misc]simplify: iters left: 3 (151 enodes) 1554299988.810 * * [misc]simplify: iters left: 2 (216 enodes) 1554299988.871 * * [misc]simplify: iters left: 1 (313 enodes) 1554299989.026 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.026 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299989.026 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299989.027 * * [misc]simplify: Extracting #3: cost 62 inf + 413 1554299989.028 * * [misc]simplify: Extracting #4: cost 66 inf + 698 1554299989.029 * * [misc]simplify: Extracting #5: cost 64 inf + 863 1554299989.032 * * [misc]simplify: Extracting #6: cost 43 inf + 6744 1554299989.042 * * [misc]simplify: Extracting #7: cost 8 inf + 26165 1554299989.054 * * [misc]simplify: Extracting #8: cost 0 inf + 30501 1554299989.063 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))) 1554299989.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt PI))))) 1554299989.063 * * * * [misc]progress: [ 395 / 621 ] simplifiying candidate # 1554299989.064 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ 1 1)) 1554299989.064 * * [misc]simplify: iters left: 6 (13 enodes) 1554299989.068 * * [misc]simplify: iters left: 5 (40 enodes) 1554299989.074 * * [misc]simplify: iters left: 4 (47 enodes) 1554299989.081 * * [misc]simplify: iters left: 3 (49 enodes) 1554299989.087 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.087 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299989.088 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299989.088 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299989.088 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299989.088 * * [misc]simplify: Extracting #5: cost 10 inf + 172 1554299989.088 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554299989.088 * * [misc]simplify: Extracting #7: cost 1 inf + 1627 1554299989.088 * * [misc]simplify: Extracting #8: cost 0 inf + 2001 1554299989.089 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299989.089 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299989.089 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299989.089 * * [misc]simplify: iters left: 6 (19 enodes) 1554299989.096 * * [misc]simplify: iters left: 5 (70 enodes) 1554299989.117 * * [misc]simplify: iters left: 4 (95 enodes) 1554299989.148 * * [misc]simplify: iters left: 3 (148 enodes) 1554299989.200 * * [misc]simplify: iters left: 2 (213 enodes) 1554299989.261 * * [misc]simplify: iters left: 1 (312 enodes) 1554299989.374 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.374 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299989.375 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299989.376 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299989.376 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299989.377 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299989.380 * * [misc]simplify: Extracting #6: cost 32 inf + 10468 1554299989.389 * * [misc]simplify: Extracting #7: cost 4 inf + 26274 1554299989.399 * * [misc]simplify: Extracting #8: cost 0 inf + 28635 1554299989.410 * [exit]simplify: Simplified to (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299989.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299989.411 * * * * [misc]progress: [ 396 / 621 ] simplifiying candidate # 1554299989.411 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1) 1554299989.411 * * [misc]simplify: iters left: 6 (12 enodes) 1554299989.418 * * [misc]simplify: iters left: 5 (37 enodes) 1554299989.429 * * [misc]simplify: iters left: 4 (46 enodes) 1554299989.441 * * [misc]simplify: iters left: 3 (48 enodes) 1554299989.454 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.454 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299989.454 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554299989.454 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554299989.454 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554299989.454 * * [misc]simplify: Extracting #5: cost 9 inf + 214 1554299989.454 * * [misc]simplify: Extracting #6: cost 3 inf + 1171 1554299989.455 * * [misc]simplify: Extracting #7: cost 1 inf + 1627 1554299989.455 * * [misc]simplify: Extracting #8: cost 0 inf + 2001 1554299989.456 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554299989.456 * [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)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299989.456 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299989.457 * * [misc]simplify: iters left: 6 (19 enodes) 1554299989.466 * * [misc]simplify: iters left: 5 (70 enodes) 1554299989.482 * * [misc]simplify: iters left: 4 (95 enodes) 1554299989.499 * * [misc]simplify: iters left: 3 (148 enodes) 1554299989.542 * * [misc]simplify: iters left: 2 (213 enodes) 1554299989.595 * * [misc]simplify: iters left: 1 (312 enodes) 1554299989.700 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.700 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299989.700 * * [misc]simplify: Extracting #2: cost 66 inf + 1 1554299989.701 * * [misc]simplify: Extracting #3: cost 62 inf + 576 1554299989.701 * * [misc]simplify: Extracting #4: cost 63 inf + 862 1554299989.702 * * [misc]simplify: Extracting #5: cost 55 inf + 1318 1554299989.703 * * [misc]simplify: Extracting #6: cost 32 inf + 10468 1554299989.707 * * [misc]simplify: Extracting #7: cost 4 inf + 26274 1554299989.716 * * [misc]simplify: Extracting #8: cost 0 inf + 28635 1554299989.727 * [exit]simplify: Simplified to (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))) 1554299989.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k)))))) 1554299989.727 * * * * [misc]progress: [ 397 / 621 ] simplifiying candidate # 1554299989.728 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k)) 1554299989.728 * * [misc]simplify: iters left: 6 (13 enodes) 1554299989.734 * * [misc]simplify: iters left: 5 (44 enodes) 1554299989.748 * * [misc]simplify: iters left: 4 (53 enodes) 1554299989.764 * * [misc]simplify: iters left: 3 (58 enodes) 1554299989.779 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.779 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554299989.779 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554299989.779 * * [misc]simplify: Extracting #3: cost 8 inf + 84 1554299989.779 * * [misc]simplify: Extracting #4: cost 15 inf + 84 1554299989.782 * * [misc]simplify: Extracting #5: cost 14 inf + 129 1554299989.782 * * [misc]simplify: Extracting #6: cost 6 inf + 960 1554299989.783 * * [misc]simplify: Extracting #7: cost 2 inf + 2163 1554299989.784 * * [misc]simplify: Extracting #8: cost 0 inf + 2991 1554299989.785 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299989.785 * [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))) (/ 1 (pow PI (- (/ k 2))))))) 1554299989.786 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554299989.786 * * [misc]simplify: iters left: 6 (18 enodes) 1554299989.795 * * [misc]simplify: iters left: 5 (67 enodes) 1554299989.815 * * [misc]simplify: iters left: 4 (83 enodes) 1554299989.839 * * [misc]simplify: iters left: 3 (101 enodes) 1554299989.867 * * [misc]simplify: iters left: 2 (124 enodes) 1554299989.900 * * [misc]simplify: iters left: 1 (138 enodes) 1554299989.921 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.921 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554299989.921 * * [misc]simplify: Extracting #2: cost 28 inf + 1 1554299989.921 * * [misc]simplify: Extracting #3: cost 30 inf + 167 1554299989.921 * * [misc]simplify: Extracting #4: cost 34 inf + 250 1554299989.922 * * [misc]simplify: Extracting #5: cost 29 inf + 376 1554299989.922 * * [misc]simplify: Extracting #6: cost 14 inf + 4910 1554299989.924 * * [misc]simplify: Extracting #7: cost 1 inf + 9883 1554299989.926 * * [misc]simplify: Extracting #8: cost 0 inf + 10628 1554299989.929 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1554299989.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (pow PI (- (/ k 2))) (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1554299989.929 * * * * [misc]progress: [ 398 / 621 ] simplifiying candidate # 1554299989.930 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) 1)) 1554299989.930 * * [misc]simplify: iters left: 6 (14 enodes) 1554299989.937 * * [misc]simplify: iters left: 5 (47 enodes) 1554299989.950 * * [misc]simplify: iters left: 4 (58 enodes) 1554299989.959 * * [misc]simplify: iters left: 3 (73 enodes) 1554299989.969 * * [misc]simplify: iters left: 2 (84 enodes) 1554299989.980 * * [misc]simplify: iters left: 1 (94 enodes) 1554299989.998 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299989.998 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299989.998 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299989.998 * * [misc]simplify: Extracting #3: cost 13 inf + 166 1554299989.999 * * [misc]simplify: Extracting #4: cost 19 inf + 248 1554299989.999 * * [misc]simplify: Extracting #5: cost 18 inf + 293 1554299990.000 * * [misc]simplify: Extracting #6: cost 9 inf + 1458 1554299990.001 * * [misc]simplify: Extracting #7: cost 2 inf + 3985 1554299990.002 * * [misc]simplify: Extracting #8: cost 0 inf + 4893 1554299990.004 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299990.004 * [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))) (pow PI (/ k 2))))) 1554299990.005 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299990.005 * * [misc]simplify: iters left: 6 (16 enodes) 1554299990.010 * * [misc]simplify: iters left: 5 (58 enodes) 1554299990.019 * * [misc]simplify: iters left: 4 (75 enodes) 1554299990.030 * * [misc]simplify: iters left: 3 (93 enodes) 1554299990.051 * * [misc]simplify: iters left: 2 (101 enodes) 1554299990.078 * * [misc]simplify: iters left: 1 (112 enodes) 1554299990.101 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.101 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299990.101 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299990.101 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299990.101 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299990.101 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299990.102 * * [misc]simplify: Extracting #6: cost 9 inf + 5456 1554299990.103 * * [misc]simplify: Extracting #7: cost 1 inf + 9321 1554299990.104 * * [misc]simplify: Extracting #8: cost 0 inf + 9736 1554299990.106 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299990.106 * [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)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299990.106 * * * * [misc]progress: [ 399 / 621 ] simplifiying candidate # 1554299990.106 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow PI 0))) 1554299990.106 * * [misc]simplify: iters left: 6 (17 enodes) 1554299990.111 * * [misc]simplify: iters left: 5 (55 enodes) 1554299990.120 * * [misc]simplify: iters left: 4 (62 enodes) 1554299990.133 * * [misc]simplify: iters left: 3 (76 enodes) 1554299990.152 * * [misc]simplify: iters left: 2 (84 enodes) 1554299990.163 * * [misc]simplify: iters left: 1 (91 enodes) 1554299990.175 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.175 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299990.175 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299990.175 * * [misc]simplify: Extracting #3: cost 15 inf + 43 1554299990.175 * * [misc]simplify: Extracting #4: cost 19 inf + 248 1554299990.176 * * [misc]simplify: Extracting #5: cost 18 inf + 293 1554299990.176 * * [misc]simplify: Extracting #6: cost 9 inf + 1458 1554299990.176 * * [misc]simplify: Extracting #7: cost 3 inf + 3531 1554299990.177 * * [misc]simplify: Extracting #8: cost 0 inf + 4893 1554299990.178 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1554299990.178 * [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))) (pow PI (/ k 2))))) 1554299990.178 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554299990.179 * * [misc]simplify: iters left: 6 (16 enodes) 1554299990.183 * * [misc]simplify: iters left: 5 (58 enodes) 1554299990.198 * * [misc]simplify: iters left: 4 (75 enodes) 1554299990.219 * * [misc]simplify: iters left: 3 (93 enodes) 1554299990.232 * * [misc]simplify: iters left: 2 (101 enodes) 1554299990.246 * * [misc]simplify: iters left: 1 (112 enodes) 1554299990.264 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.264 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299990.264 * * [misc]simplify: Extracting #2: cost 25 inf + 1 1554299990.265 * * [misc]simplify: Extracting #3: cost 27 inf + 208 1554299990.265 * * [misc]simplify: Extracting #4: cost 26 inf + 335 1554299990.266 * * [misc]simplify: Extracting #5: cost 20 inf + 1756 1554299990.267 * * [misc]simplify: Extracting #6: cost 9 inf + 5456 1554299990.269 * * [misc]simplify: Extracting #7: cost 1 inf + 9321 1554299990.272 * * [misc]simplify: Extracting #8: cost 0 inf + 9736 1554299990.275 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ k 2)) (sqrt PI))) 1554299990.275 * [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)))) (/ (pow PI (/ k 2)) (sqrt PI))))) 1554299990.275 * * * * [misc]progress: [ 400 / 621 ] simplifiying candidate # 1554299990.275 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299990.276 * * [misc]simplify: iters left: 6 (18 enodes) 1554299990.285 * * [misc]simplify: iters left: 5 (65 enodes) 1554299990.305 * * [misc]simplify: iters left: 4 (86 enodes) 1554299990.330 * * [misc]simplify: iters left: 3 (113 enodes) 1554299990.346 * * [misc]simplify: iters left: 2 (126 enodes) 1554299990.363 * * [misc]simplify: iters left: 1 (127 enodes) 1554299990.387 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.387 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299990.387 * * [misc]simplify: Extracting #2: cost 34 inf + 1 1554299990.387 * * [misc]simplify: Extracting #3: cost 39 inf + 1 1554299990.387 * * [misc]simplify: Extracting #4: cost 46 inf + 1 1554299990.388 * * [misc]simplify: Extracting #5: cost 46 inf + 45 1554299990.388 * * [misc]simplify: Extracting #6: cost 27 inf + 4853 1554299990.392 * * [misc]simplify: Extracting #7: cost 4 inf + 16087 1554299990.398 * * [misc]simplify: Extracting #8: cost 0 inf + 18863 1554299990.403 * * [misc]simplify: Extracting #9: cost 0 inf + 18823 1554299990.408 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))))) 1554299990.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299990.408 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299990.409 * * [misc]simplify: iters left: 6 (20 enodes) 1554299990.418 * * [misc]simplify: iters left: 5 (69 enodes) 1554299990.439 * * [misc]simplify: iters left: 4 (79 enodes) 1554299990.461 * * [misc]simplify: iters left: 3 (81 enodes) 1554299990.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.472 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299990.472 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299990.472 * * [misc]simplify: Extracting #3: cost 31 inf + 0 1554299990.472 * * [misc]simplify: Extracting #4: cost 35 inf + 4 1554299990.472 * * [misc]simplify: Extracting #5: cost 30 inf + 174 1554299990.472 * * [misc]simplify: Extracting #6: cost 15 inf + 2944 1554299990.473 * * [misc]simplify: Extracting #7: cost 8 inf + 4310 1554299990.474 * * [misc]simplify: Extracting #8: cost 4 inf + 6655 1554299990.475 * * [misc]simplify: Extracting #9: cost 0 inf + 10066 1554299990.476 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299990.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299990.476 * * * * [misc]progress: [ 401 / 621 ] simplifiying candidate # 1554299990.476 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299990.476 * * [misc]simplify: iters left: 6 (17 enodes) 1554299990.481 * * [misc]simplify: iters left: 5 (60 enodes) 1554299990.490 * * [misc]simplify: iters left: 4 (74 enodes) 1554299990.501 * * [misc]simplify: iters left: 3 (86 enodes) 1554299990.515 * * [misc]simplify: iters left: 2 (88 enodes) 1554299990.538 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.538 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299990.538 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299990.538 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299990.538 * * [misc]simplify: Extracting #4: cost 34 inf + 1 1554299990.538 * * [misc]simplify: Extracting #5: cost 34 inf + 45 1554299990.538 * * [misc]simplify: Extracting #6: cost 27 inf + 619 1554299990.539 * * [misc]simplify: Extracting #7: cost 9 inf + 5584 1554299990.540 * * [misc]simplify: Extracting #8: cost 0 inf + 10577 1554299990.541 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299990.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299990.542 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299990.542 * * [misc]simplify: iters left: 6 (20 enodes) 1554299990.548 * * [misc]simplify: iters left: 5 (69 enodes) 1554299990.559 * * [misc]simplify: iters left: 4 (79 enodes) 1554299990.570 * * [misc]simplify: iters left: 3 (81 enodes) 1554299990.581 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.581 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299990.582 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299990.582 * * [misc]simplify: Extracting #3: cost 31 inf + 0 1554299990.582 * * [misc]simplify: Extracting #4: cost 35 inf + 4 1554299990.582 * * [misc]simplify: Extracting #5: cost 30 inf + 174 1554299990.582 * * [misc]simplify: Extracting #6: cost 15 inf + 2944 1554299990.583 * * [misc]simplify: Extracting #7: cost 8 inf + 4310 1554299990.583 * * [misc]simplify: Extracting #8: cost 4 inf + 6495 1554299990.584 * * [misc]simplify: Extracting #9: cost 0 inf + 9746 1554299990.585 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299990.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299990.585 * * * * [misc]progress: [ 402 / 621 ] simplifiying candidate # 1554299990.586 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299990.586 * * [misc]simplify: iters left: 6 (20 enodes) 1554299990.592 * * [misc]simplify: iters left: 5 (77 enodes) 1554299990.616 * * [misc]simplify: iters left: 4 (131 enodes) 1554299990.650 * * [misc]simplify: iters left: 3 (278 enodes) 1554299990.740 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.740 * * [misc]simplify: Extracting #1: cost 65 inf + 0 1554299990.741 * * [misc]simplify: Extracting #2: cost 141 inf + 1 1554299990.742 * * [misc]simplify: Extracting #3: cost 148 inf + 1 1554299990.743 * * [misc]simplify: Extracting #4: cost 146 inf + 773 1554299990.746 * * [misc]simplify: Extracting #5: cost 116 inf + 8321 1554299990.754 * * [misc]simplify: Extracting #6: cost 67 inf + 34947 1554299990.777 * * [misc]simplify: Extracting #7: cost 5 inf + 78442 1554299990.805 * * [misc]simplify: Extracting #8: cost 0 inf + 81871 1554299990.833 * [exit]simplify: Simplified to (/ 1 (* (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) 1554299990.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299990.834 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299990.834 * * [misc]simplify: iters left: 6 (21 enodes) 1554299990.844 * * [misc]simplify: iters left: 5 (74 enodes) 1554299990.866 * * [misc]simplify: iters left: 4 (92 enodes) 1554299990.895 * * [misc]simplify: iters left: 3 (112 enodes) 1554299990.925 * * [misc]simplify: iters left: 2 (131 enodes) 1554299990.951 * * [misc]simplify: iters left: 1 (150 enodes) 1554299990.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299990.973 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299990.974 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299990.974 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299990.974 * * [misc]simplify: Extracting #4: cost 55 inf + 289 1554299990.975 * * [misc]simplify: Extracting #5: cost 39 inf + 2254 1554299990.977 * * [misc]simplify: Extracting #6: cost 25 inf + 8467 1554299990.980 * * [misc]simplify: Extracting #7: cost 9 inf + 18292 1554299990.986 * * [misc]simplify: Extracting #8: cost 0 inf + 24942 1554299990.993 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299990.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299990.993 * * * * [misc]progress: [ 403 / 621 ] simplifiying candidate # 1554299990.994 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299990.994 * * [misc]simplify: iters left: 6 (19 enodes) 1554299991.003 * * [misc]simplify: iters left: 5 (70 enodes) 1554299991.025 * * [misc]simplify: iters left: 4 (103 enodes) 1554299991.058 * * [misc]simplify: iters left: 3 (184 enodes) 1554299991.099 * * [misc]simplify: iters left: 2 (326 enodes) 1554299991.264 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299991.264 * * [misc]simplify: Extracting #1: cost 64 inf + 0 1554299991.265 * * [misc]simplify: Extracting #2: cost 140 inf + 1 1554299991.267 * * [misc]simplify: Extracting #3: cost 147 inf + 1 1554299991.268 * * [misc]simplify: Extracting #4: cost 144 inf + 815 1554299991.271 * * [misc]simplify: Extracting #5: cost 75 inf + 24867 1554299991.284 * * [misc]simplify: Extracting #6: cost 2 inf + 61731 1554299991.298 * * [misc]simplify: Extracting #7: cost 0 inf + 63079 1554299991.326 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) 1554299991.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299991.327 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299991.327 * * [misc]simplify: iters left: 6 (21 enodes) 1554299991.337 * * [misc]simplify: iters left: 5 (74 enodes) 1554299991.358 * * [misc]simplify: iters left: 4 (92 enodes) 1554299991.386 * * [misc]simplify: iters left: 3 (112 enodes) 1554299991.416 * * [misc]simplify: iters left: 2 (131 enodes) 1554299991.450 * * [misc]simplify: iters left: 1 (150 enodes) 1554299991.483 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299991.483 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299991.483 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299991.483 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299991.483 * * [misc]simplify: Extracting #4: cost 55 inf + 289 1554299991.484 * * [misc]simplify: Extracting #5: cost 39 inf + 2254 1554299991.485 * * [misc]simplify: Extracting #6: cost 25 inf + 8467 1554299991.486 * * [misc]simplify: Extracting #7: cost 9 inf + 17772 1554299991.489 * * [misc]simplify: Extracting #8: cost 0 inf + 24062 1554299991.492 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299991.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299991.492 * * * * [misc]progress: [ 404 / 621 ] simplifiying candidate # 1554299991.492 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299991.493 * * [misc]simplify: iters left: 6 (14 enodes) 1554299991.496 * * [misc]simplify: iters left: 5 (51 enodes) 1554299991.506 * * [misc]simplify: iters left: 4 (80 enodes) 1554299991.534 * * [misc]simplify: iters left: 3 (132 enodes) 1554299991.570 * * [misc]simplify: iters left: 2 (219 enodes) 1554299991.667 * * [misc]simplify: iters left: 1 (335 enodes) 1554299991.789 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299991.789 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299991.789 * * [misc]simplify: Extracting #2: cost 47 inf + 1 1554299991.789 * * [misc]simplify: Extracting #3: cost 51 inf + 1 1554299991.789 * * [misc]simplify: Extracting #4: cost 52 inf + 43 1554299991.790 * * [misc]simplify: Extracting #5: cost 44 inf + 852 1554299991.791 * * [misc]simplify: Extracting #6: cost 16 inf + 8199 1554299991.793 * * [misc]simplify: Extracting #7: cost 2 inf + 12758 1554299991.796 * * [misc]simplify: Extracting #8: cost 0 inf + 13484 1554299991.799 * [exit]simplify: Simplified to (* (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) 1554299991.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k)))) (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299991.799 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299991.799 * * [misc]simplify: iters left: 6 (20 enodes) 1554299991.804 * * [misc]simplify: iters left: 5 (71 enodes) 1554299991.820 * * [misc]simplify: iters left: 4 (89 enodes) 1554299991.845 * * [misc]simplify: iters left: 3 (109 enodes) 1554299991.875 * * [misc]simplify: iters left: 2 (128 enodes) 1554299991.910 * * [misc]simplify: iters left: 1 (147 enodes) 1554299991.930 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299991.930 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299991.930 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299991.930 * * [misc]simplify: Extracting #3: cost 59 inf + 1 1554299991.930 * * [misc]simplify: Extracting #4: cost 53 inf + 250 1554299991.931 * * [misc]simplify: Extracting #5: cost 31 inf + 5294 1554299991.932 * * [misc]simplify: Extracting #6: cost 21 inf + 9413 1554299991.934 * * [misc]simplify: Extracting #7: cost 1 inf + 21811 1554299991.937 * * [misc]simplify: Extracting #8: cost 0 inf + 22596 1554299991.943 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1554299991.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow PI (- (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299991.943 * * * * [misc]progress: [ 405 / 621 ] simplifiying candidate # 1554299991.943 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299991.944 * * [misc]simplify: iters left: 6 (19 enodes) 1554299991.952 * * [misc]simplify: iters left: 5 (70 enodes) 1554299991.973 * * [misc]simplify: iters left: 4 (102 enodes) 1554299992.006 * * [misc]simplify: iters left: 3 (173 enodes) 1554299992.048 * * [misc]simplify: iters left: 2 (304 enodes) 1554299992.195 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299992.195 * * [misc]simplify: Extracting #1: cost 54 inf + 0 1554299992.196 * * [misc]simplify: Extracting #2: cost 106 inf + 1 1554299992.197 * * [misc]simplify: Extracting #3: cost 113 inf + 1 1554299992.198 * * [misc]simplify: Extracting #4: cost 109 inf + 1097 1554299992.203 * * [misc]simplify: Extracting #5: cost 49 inf + 21288 1554299992.221 * * [misc]simplify: Extracting #6: cost 5 inf + 47220 1554299992.245 * * [misc]simplify: Extracting #7: cost 0 inf + 50690 1554299992.269 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) 1554299992.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299992.269 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299992.270 * * [misc]simplify: iters left: 6 (21 enodes) 1554299992.279 * * [misc]simplify: iters left: 5 (74 enodes) 1554299992.304 * * [misc]simplify: iters left: 4 (92 enodes) 1554299992.326 * * [misc]simplify: iters left: 3 (112 enodes) 1554299992.342 * * [misc]simplify: iters left: 2 (131 enodes) 1554299992.359 * * [misc]simplify: iters left: 1 (150 enodes) 1554299992.393 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299992.393 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299992.394 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299992.394 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299992.394 * * [misc]simplify: Extracting #4: cost 55 inf + 209 1554299992.395 * * [misc]simplify: Extracting #5: cost 39 inf + 2094 1554299992.397 * * [misc]simplify: Extracting #6: cost 25 inf + 8067 1554299992.402 * * [misc]simplify: Extracting #7: cost 9 inf + 17572 1554299992.408 * * [misc]simplify: Extracting #8: cost 0 inf + 23982 1554299992.414 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299992.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299992.414 * * * * [misc]progress: [ 406 / 621 ] simplifiying candidate # 1554299992.415 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299992.415 * * [misc]simplify: iters left: 6 (18 enodes) 1554299992.424 * * [misc]simplify: iters left: 5 (65 enodes) 1554299992.442 * * [misc]simplify: iters left: 4 (89 enodes) 1554299992.456 * * [misc]simplify: iters left: 3 (131 enodes) 1554299992.480 * * [misc]simplify: iters left: 2 (170 enodes) 1554299992.542 * * [misc]simplify: iters left: 1 (303 enodes) 1554299992.686 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299992.686 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299992.686 * * [misc]simplify: Extracting #2: cost 45 inf + 1 1554299992.686 * * [misc]simplify: Extracting #3: cost 52 inf + 1 1554299992.687 * * [misc]simplify: Extracting #4: cost 55 inf + 44 1554299992.687 * * [misc]simplify: Extracting #5: cost 31 inf + 5360 1554299992.691 * * [misc]simplify: Extracting #6: cost 1 inf + 17583 1554299992.697 * * [misc]simplify: Extracting #7: cost 0 inf + 18157 1554299992.706 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (sqrt (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))))) 1554299992.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (sqrt (sqrt k)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299992.706 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299992.706 * * [misc]simplify: iters left: 6 (21 enodes) 1554299992.713 * * [misc]simplify: iters left: 5 (74 enodes) 1554299992.723 * * [misc]simplify: iters left: 4 (92 enodes) 1554299992.736 * * [misc]simplify: iters left: 3 (112 enodes) 1554299992.760 * * [misc]simplify: iters left: 2 (131 enodes) 1554299992.779 * * [misc]simplify: iters left: 1 (150 enodes) 1554299992.814 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299992.815 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299992.815 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299992.815 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299992.815 * * [misc]simplify: Extracting #4: cost 55 inf + 209 1554299992.816 * * [misc]simplify: Extracting #5: cost 39 inf + 2094 1554299992.818 * * [misc]simplify: Extracting #6: cost 25 inf + 8067 1554299992.821 * * [misc]simplify: Extracting #7: cost 9 inf + 17052 1554299992.827 * * [misc]simplify: Extracting #8: cost 0 inf + 23102 1554299992.833 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299992.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299992.833 * * * * [misc]progress: [ 407 / 621 ] simplifiying candidate # 1554299992.834 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) 1554299992.834 * * [misc]simplify: iters left: 6 (13 enodes) 1554299992.840 * * [misc]simplify: iters left: 5 (46 enodes) 1554299992.854 * * [misc]simplify: iters left: 4 (60 enodes) 1554299992.869 * * [misc]simplify: iters left: 3 (84 enodes) 1554299992.883 * * [misc]simplify: iters left: 2 (107 enodes) 1554299992.903 * * [misc]simplify: iters left: 1 (127 enodes) 1554299992.942 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299992.942 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299992.942 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299992.942 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299992.943 * * [misc]simplify: Extracting #4: cost 27 inf + 43 1554299992.943 * * [misc]simplify: Extracting #5: cost 21 inf + 370 1554299992.943 * * [misc]simplify: Extracting #6: cost 15 inf + 1141 1554299992.945 * * [misc]simplify: Extracting #7: cost 5 inf + 3646 1554299992.947 * * [misc]simplify: Extracting #8: cost 0 inf + 4938 1554299992.949 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299992.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299992.950 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299992.950 * * [misc]simplify: iters left: 6 (20 enodes) 1554299992.960 * * [misc]simplify: iters left: 5 (71 enodes) 1554299992.971 * * [misc]simplify: iters left: 4 (89 enodes) 1554299992.984 * * [misc]simplify: iters left: 3 (109 enodes) 1554299993.001 * * [misc]simplify: iters left: 2 (128 enodes) 1554299993.018 * * [misc]simplify: iters left: 1 (147 enodes) 1554299993.038 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.038 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299993.038 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299993.038 * * [misc]simplify: Extracting #3: cost 59 inf + 1 1554299993.038 * * [misc]simplify: Extracting #4: cost 53 inf + 210 1554299993.039 * * [misc]simplify: Extracting #5: cost 31 inf + 5014 1554299993.040 * * [misc]simplify: Extracting #6: cost 21 inf + 8933 1554299993.042 * * [misc]simplify: Extracting #7: cost 1 inf + 20891 1554299993.045 * * [misc]simplify: Extracting #8: cost 0 inf + 21636 1554299993.047 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1554299993.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (sqrt k)) 1)) (/ (pow PI (- (/ k 2))) (/ (* (sqrt (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299993.048 * * * * [misc]progress: [ 408 / 621 ] simplifiying candidate # 1554299993.048 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299993.048 * * [misc]simplify: iters left: 6 (17 enodes) 1554299993.052 * * [misc]simplify: iters left: 5 (64 enodes) 1554299993.065 * * [misc]simplify: iters left: 4 (92 enodes) 1554299993.083 * * [misc]simplify: iters left: 3 (142 enodes) 1554299993.153 * * [misc]simplify: iters left: 2 (296 enodes) 1554299993.314 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.314 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299993.314 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299993.315 * * [misc]simplify: Extracting #3: cost 51 inf + 1 1554299993.315 * * [misc]simplify: Extracting #4: cost 56 inf + 2 1554299993.315 * * [misc]simplify: Extracting #5: cost 48 inf + 1381 1554299993.316 * * [misc]simplify: Extracting #6: cost 43 inf + 2109 1554299993.317 * * [misc]simplify: Extracting #7: cost 39 inf + 2275 1554299993.317 * * [misc]simplify: Extracting #8: cost 34 inf + 3890 1554299993.320 * * [misc]simplify: Extracting #9: cost 11 inf + 16357 1554299993.324 * * [misc]simplify: Extracting #10: cost 0 inf + 22351 1554299993.331 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI))))) 1554299993.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299993.331 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299993.332 * * [misc]simplify: iters left: 6 (20 enodes) 1554299993.336 * * [misc]simplify: iters left: 5 (71 enodes) 1554299993.352 * * [misc]simplify: iters left: 4 (89 enodes) 1554299993.378 * * [misc]simplify: iters left: 3 (109 enodes) 1554299993.396 * * [misc]simplify: iters left: 2 (128 enodes) 1554299993.413 * * [misc]simplify: iters left: 1 (147 enodes) 1554299993.435 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.435 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299993.435 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299993.435 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299993.435 * * [misc]simplify: Extracting #4: cost 55 inf + 47 1554299993.436 * * [misc]simplify: Extracting #5: cost 34 inf + 4288 1554299993.437 * * [misc]simplify: Extracting #6: cost 21 inf + 9117 1554299993.439 * * [misc]simplify: Extracting #7: cost 1 inf + 22155 1554299993.442 * * [misc]simplify: Extracting #8: cost 0 inf + 22940 1554299993.444 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1554299993.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1554299993.444 * * * * [misc]progress: [ 409 / 621 ] simplifiying candidate # 1554299993.445 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299993.445 * * [misc]simplify: iters left: 6 (16 enodes) 1554299993.449 * * [misc]simplify: iters left: 5 (59 enodes) 1554299993.462 * * [misc]simplify: iters left: 4 (79 enodes) 1554299993.485 * * [misc]simplify: iters left: 3 (101 enodes) 1554299993.522 * * [misc]simplify: iters left: 2 (175 enodes) 1554299993.565 * * [misc]simplify: iters left: 1 (221 enodes) 1554299993.640 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.640 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299993.640 * * [misc]simplify: Extracting #2: cost 40 inf + 1 1554299993.641 * * [misc]simplify: Extracting #3: cost 45 inf + 1 1554299993.641 * * [misc]simplify: Extracting #4: cost 50 inf + 2 1554299993.642 * * [misc]simplify: Extracting #5: cost 43 inf + 978 1554299993.643 * * [misc]simplify: Extracting #6: cost 30 inf + 3803 1554299993.646 * * [misc]simplify: Extracting #7: cost 7 inf + 11651 1554299993.652 * * [misc]simplify: Extracting #8: cost 0 inf + 15589 1554299993.658 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299993.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299993.658 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299993.658 * * [misc]simplify: iters left: 6 (20 enodes) 1554299993.667 * * [misc]simplify: iters left: 5 (71 enodes) 1554299993.677 * * [misc]simplify: iters left: 4 (89 enodes) 1554299993.690 * * [misc]simplify: iters left: 3 (109 enodes) 1554299993.711 * * [misc]simplify: iters left: 2 (128 enodes) 1554299993.731 * * [misc]simplify: iters left: 1 (147 enodes) 1554299993.774 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.774 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299993.774 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299993.774 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299993.774 * * [misc]simplify: Extracting #4: cost 55 inf + 47 1554299993.775 * * [misc]simplify: Extracting #5: cost 34 inf + 4288 1554299993.777 * * [misc]simplify: Extracting #6: cost 21 inf + 9037 1554299993.781 * * [misc]simplify: Extracting #7: cost 1 inf + 21315 1554299993.784 * * [misc]simplify: Extracting #8: cost 0 inf + 22060 1554299993.787 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1554299993.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (cbrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1554299993.787 * * * * [misc]progress: [ 410 / 621 ] simplifiying candidate # 1554299993.787 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) 1554299993.787 * * [misc]simplify: iters left: 6 (10 enodes) 1554299993.790 * * [misc]simplify: iters left: 5 (35 enodes) 1554299993.795 * * [misc]simplify: iters left: 4 (42 enodes) 1554299993.802 * * [misc]simplify: iters left: 3 (47 enodes) 1554299993.808 * * [misc]simplify: iters left: 2 (48 enodes) 1554299993.817 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.817 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299993.817 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299993.817 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299993.817 * * [misc]simplify: Extracting #4: cost 14 inf + 1 1554299993.817 * * [misc]simplify: Extracting #5: cost 11 inf + 44 1554299993.818 * * [misc]simplify: Extracting #6: cost 5 inf + 815 1554299993.818 * * [misc]simplify: Extracting #7: cost 1 inf + 1623 1554299993.819 * * [misc]simplify: Extracting #8: cost 0 inf + 1865 1554299993.819 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299993.819 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299993.820 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299993.820 * * [misc]simplify: iters left: 6 (19 enodes) 1554299993.829 * * [misc]simplify: iters left: 5 (68 enodes) 1554299993.845 * * [misc]simplify: iters left: 4 (86 enodes) 1554299993.859 * * [misc]simplify: iters left: 3 (106 enodes) 1554299993.876 * * [misc]simplify: iters left: 2 (125 enodes) 1554299993.904 * * [misc]simplify: iters left: 1 (144 enodes) 1554299993.924 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.924 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299993.924 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299993.924 * * [misc]simplify: Extracting #3: cost 55 inf + 43 1554299993.924 * * [misc]simplify: Extracting #4: cost 51 inf + 170 1554299993.925 * * [misc]simplify: Extracting #5: cost 37 inf + 1952 1554299993.926 * * [misc]simplify: Extracting #6: cost 11 inf + 14253 1554299993.928 * * [misc]simplify: Extracting #7: cost 1 inf + 19688 1554299993.933 * * [misc]simplify: Extracting #8: cost 0 inf + 20594 1554299993.938 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI))))) 1554299993.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ 1 1)) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI))))))) 1554299993.939 * * * * [misc]progress: [ 411 / 621 ] simplifiying candidate # 1554299993.939 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) 1554299993.939 * * [misc]simplify: iters left: 6 (9 enodes) 1554299993.944 * * [misc]simplify: iters left: 5 (32 enodes) 1554299993.957 * * [misc]simplify: iters left: 4 (42 enodes) 1554299993.965 * * [misc]simplify: iters left: 3 (49 enodes) 1554299993.971 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299993.971 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299993.971 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299993.971 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299993.971 * * [misc]simplify: Extracting #4: cost 14 inf + 1 1554299993.971 * * [misc]simplify: Extracting #5: cost 10 inf + 85 1554299993.971 * * [misc]simplify: Extracting #6: cost 6 inf + 573 1554299993.971 * * [misc]simplify: Extracting #7: cost 0 inf + 1865 1554299993.972 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554299993.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299993.972 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299993.972 * * [misc]simplify: iters left: 6 (19 enodes) 1554299993.977 * * [misc]simplify: iters left: 5 (68 enodes) 1554299993.987 * * [misc]simplify: iters left: 4 (86 enodes) 1554299994.009 * * [misc]simplify: iters left: 3 (106 enodes) 1554299994.030 * * [misc]simplify: iters left: 2 (125 enodes) 1554299994.046 * * [misc]simplify: iters left: 1 (144 enodes) 1554299994.072 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.072 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299994.072 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299994.072 * * [misc]simplify: Extracting #3: cost 55 inf + 43 1554299994.072 * * [misc]simplify: Extracting #4: cost 51 inf + 170 1554299994.072 * * [misc]simplify: Extracting #5: cost 37 inf + 1952 1554299994.074 * * [misc]simplify: Extracting #6: cost 11 inf + 14253 1554299994.076 * * [misc]simplify: Extracting #7: cost 1 inf + 19688 1554299994.079 * * [misc]simplify: Extracting #8: cost 0 inf + 20594 1554299994.081 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI))))) 1554299994.081 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI))))))) 1554299994.082 * * * * [misc]progress: [ 412 / 621 ] simplifiying candidate # 1554299994.082 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) 1554299994.082 * * [misc]simplify: iters left: 6 (11 enodes) 1554299994.085 * * [misc]simplify: iters left: 5 (40 enodes) 1554299994.092 * * [misc]simplify: iters left: 4 (52 enodes) 1554299994.106 * * [misc]simplify: iters left: 3 (64 enodes) 1554299994.123 * * [misc]simplify: iters left: 2 (66 enodes) 1554299994.132 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.132 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299994.132 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299994.132 * * [misc]simplify: Extracting #3: cost 22 inf + 43 1554299994.132 * * [misc]simplify: Extracting #4: cost 22 inf + 248 1554299994.132 * * [misc]simplify: Extracting #5: cost 20 inf + 250 1554299994.132 * * [misc]simplify: Extracting #6: cost 14 inf + 941 1554299994.133 * * [misc]simplify: Extracting #7: cost 2 inf + 3770 1554299994.133 * * [misc]simplify: Extracting #8: cost 0 inf + 4376 1554299994.134 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299994.134 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299994.134 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299994.135 * * [misc]simplify: iters left: 6 (18 enodes) 1554299994.139 * * [misc]simplify: iters left: 5 (65 enodes) 1554299994.152 * * [misc]simplify: iters left: 4 (79 enodes) 1554299994.175 * * [misc]simplify: iters left: 3 (90 enodes) 1554299994.202 * * [misc]simplify: iters left: 2 (115 enodes) 1554299994.230 * * [misc]simplify: iters left: 1 (132 enodes) 1554299994.246 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.246 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299994.246 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299994.246 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554299994.247 * * [misc]simplify: Extracting #4: cost 34 inf + 290 1554299994.247 * * [misc]simplify: Extracting #5: cost 27 inf + 702 1554299994.247 * * [misc]simplify: Extracting #6: cost 10 inf + 5760 1554299994.249 * * [misc]simplify: Extracting #7: cost 0 inf + 10850 1554299994.250 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299994.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (sqrt k)) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299994.251 * * * * [misc]progress: [ 413 / 621 ] simplifiying candidate # 1554299994.251 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) 1554299994.251 * * [misc]simplify: iters left: 6 (12 enodes) 1554299994.255 * * [misc]simplify: iters left: 5 (43 enodes) 1554299994.271 * * [misc]simplify: iters left: 4 (57 enodes) 1554299994.287 * * [misc]simplify: iters left: 3 (81 enodes) 1554299994.299 * * [misc]simplify: iters left: 2 (104 enodes) 1554299994.316 * * [misc]simplify: iters left: 1 (124 enodes) 1554299994.347 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.347 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299994.347 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299994.347 * * [misc]simplify: Extracting #3: cost 20 inf + 166 1554299994.347 * * [misc]simplify: Extracting #4: cost 22 inf + 248 1554299994.347 * * [misc]simplify: Extracting #5: cost 20 inf + 250 1554299994.348 * * [misc]simplify: Extracting #6: cost 14 inf + 901 1554299994.348 * * [misc]simplify: Extracting #7: cost 3 inf + 3649 1554299994.349 * * [misc]simplify: Extracting #8: cost 0 inf + 4376 1554299994.350 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554299994.350 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt k)) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299994.350 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299994.350 * * [misc]simplify: iters left: 6 (16 enodes) 1554299994.354 * * [misc]simplify: iters left: 5 (56 enodes) 1554299994.364 * * [misc]simplify: iters left: 4 (68 enodes) 1554299994.383 * * [misc]simplify: iters left: 3 (72 enodes) 1554299994.400 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.400 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299994.400 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299994.400 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299994.400 * * [misc]simplify: Extracting #4: cost 25 inf + 89 1554299994.401 * * [misc]simplify: Extracting #5: cost 8 inf + 3248 1554299994.401 * * [misc]simplify: Extracting #6: cost 0 inf + 7052 1554299994.402 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))) 1554299994.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))))) 1554299994.402 * * * * [misc]progress: [ 414 / 621 ] simplifiying candidate # 1554299994.402 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI 0))) 1554299994.403 * * [misc]simplify: iters left: 6 (14 enodes) 1554299994.406 * * [misc]simplify: iters left: 5 (48 enodes) 1554299994.413 * * [misc]simplify: iters left: 4 (58 enodes) 1554299994.422 * * [misc]simplify: iters left: 3 (82 enodes) 1554299994.437 * * [misc]simplify: iters left: 2 (106 enodes) 1554299994.473 * * [misc]simplify: iters left: 1 (122 enodes) 1554299994.489 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.489 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299994.489 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299994.490 * * [misc]simplify: Extracting #3: cost 21 inf + 125 1554299994.490 * * [misc]simplify: Extracting #4: cost 22 inf + 248 1554299994.490 * * [misc]simplify: Extracting #5: cost 20 inf + 250 1554299994.490 * * [misc]simplify: Extracting #6: cost 16 inf + 617 1554299994.491 * * [misc]simplify: Extracting #7: cost 5 inf + 3083 1554299994.492 * * [misc]simplify: Extracting #8: cost 0 inf + 4376 1554299994.493 * [exit]simplify: Simplified to (/ 1 (* (* (sqrt k) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI))))) 1554299994.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (* (sqrt k) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299994.493 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299994.493 * * [misc]simplify: iters left: 6 (16 enodes) 1554299994.497 * * [misc]simplify: iters left: 5 (56 enodes) 1554299994.507 * * [misc]simplify: iters left: 4 (68 enodes) 1554299994.526 * * [misc]simplify: iters left: 3 (72 enodes) 1554299994.540 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.540 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299994.540 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299994.540 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299994.540 * * [misc]simplify: Extracting #4: cost 25 inf + 89 1554299994.540 * * [misc]simplify: Extracting #5: cost 8 inf + 3248 1554299994.541 * * [misc]simplify: Extracting #6: cost 0 inf + 7052 1554299994.542 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))) 1554299994.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (* (sqrt k) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))))) 1554299994.542 * * * * [misc]progress: [ 415 / 621 ] simplifiying candidate # 1554299994.543 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299994.543 * * [misc]simplify: iters left: 6 (17 enodes) 1554299994.547 * * [misc]simplify: iters left: 5 (60 enodes) 1554299994.556 * * [misc]simplify: iters left: 4 (74 enodes) 1554299994.568 * * [misc]simplify: iters left: 3 (83 enodes) 1554299994.579 * * [misc]simplify: iters left: 2 (86 enodes) 1554299994.595 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.595 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299994.595 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554299994.595 * * [misc]simplify: Extracting #3: cost 27 inf + 1 1554299994.595 * * [misc]simplify: Extracting #4: cost 34 inf + 1 1554299994.595 * * [misc]simplify: Extracting #5: cost 33 inf + 86 1554299994.596 * * [misc]simplify: Extracting #6: cost 29 inf + 455 1554299994.596 * * [misc]simplify: Extracting #7: cost 19 inf + 1815 1554299994.597 * * [misc]simplify: Extracting #8: cost 5 inf + 8874 1554299994.599 * * [misc]simplify: Extracting #9: cost 0 inf + 11743 1554299994.600 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554299994.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299994.600 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299994.601 * * [misc]simplify: iters left: 6 (20 enodes) 1554299994.606 * * [misc]simplify: iters left: 5 (69 enodes) 1554299994.616 * * [misc]simplify: iters left: 4 (79 enodes) 1554299994.627 * * [misc]simplify: iters left: 3 (81 enodes) 1554299994.646 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.646 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299994.646 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299994.646 * * [misc]simplify: Extracting #3: cost 31 inf + 0 1554299994.646 * * [misc]simplify: Extracting #4: cost 35 inf + 4 1554299994.646 * * [misc]simplify: Extracting #5: cost 30 inf + 174 1554299994.647 * * [misc]simplify: Extracting #6: cost 15 inf + 2824 1554299994.648 * * [misc]simplify: Extracting #7: cost 8 inf + 4150 1554299994.649 * * [misc]simplify: Extracting #8: cost 4 inf + 6455 1554299994.651 * * [misc]simplify: Extracting #9: cost 0 inf + 9746 1554299994.653 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299994.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299994.654 * * * * [misc]progress: [ 416 / 621 ] simplifiying candidate # 1554299994.654 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299994.654 * * [misc]simplify: iters left: 6 (16 enodes) 1554299994.661 * * [misc]simplify: iters left: 5 (55 enodes) 1554299994.669 * * [misc]simplify: iters left: 4 (64 enodes) 1554299994.678 * * [misc]simplify: iters left: 3 (66 enodes) 1554299994.687 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.687 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299994.687 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299994.687 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554299994.687 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554299994.687 * * [misc]simplify: Extracting #5: cost 25 inf + 86 1554299994.687 * * [misc]simplify: Extracting #6: cost 20 inf + 496 1554299994.687 * * [misc]simplify: Extracting #7: cost 10 inf + 1897 1554299994.688 * * [misc]simplify: Extracting #8: cost 1 inf + 6219 1554299994.689 * * [misc]simplify: Extracting #9: cost 0 inf + 6673 1554299994.690 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299994.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299994.690 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299994.690 * * [misc]simplify: iters left: 6 (20 enodes) 1554299994.695 * * [misc]simplify: iters left: 5 (69 enodes) 1554299994.714 * * [misc]simplify: iters left: 4 (79 enodes) 1554299994.734 * * [misc]simplify: iters left: 3 (81 enodes) 1554299994.756 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299994.756 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299994.756 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554299994.756 * * [misc]simplify: Extracting #3: cost 31 inf + 0 1554299994.756 * * [misc]simplify: Extracting #4: cost 35 inf + 4 1554299994.757 * * [misc]simplify: Extracting #5: cost 30 inf + 174 1554299994.757 * * [misc]simplify: Extracting #6: cost 15 inf + 2824 1554299994.758 * * [misc]simplify: Extracting #7: cost 8 inf + 4150 1554299994.759 * * [misc]simplify: Extracting #8: cost 4 inf + 6295 1554299994.761 * * [misc]simplify: Extracting #9: cost 0 inf + 9426 1554299994.763 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299994.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299994.763 * * * * [misc]progress: [ 417 / 621 ] simplifiying candidate # 1554299994.764 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299994.764 * * [misc]simplify: iters left: 6 (19 enodes) 1554299994.773 * * [misc]simplify: iters left: 5 (72 enodes) 1554299994.797 * * [misc]simplify: iters left: 4 (119 enodes) 1554299994.838 * * [misc]simplify: iters left: 3 (224 enodes) 1554299994.900 * * [misc]simplify: iters left: 2 (377 enodes) 1554299995.093 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299995.094 * * [misc]simplify: Extracting #1: cost 58 inf + 0 1554299995.095 * * [misc]simplify: Extracting #2: cost 118 inf + 1 1554299995.096 * * [misc]simplify: Extracting #3: cost 125 inf + 1 1554299995.098 * * [misc]simplify: Extracting #4: cost 117 inf + 1504 1554299995.104 * * [misc]simplify: Extracting #5: cost 55 inf + 27849 1554299995.123 * * [misc]simplify: Extracting #6: cost 3 inf + 54200 1554299995.138 * * [misc]simplify: Extracting #7: cost 0 inf + 56282 1554299995.151 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ 1 (sqrt PI)))) 1554299995.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299995.152 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299995.152 * * [misc]simplify: iters left: 6 (21 enodes) 1554299995.157 * * [misc]simplify: iters left: 5 (74 enodes) 1554299995.169 * * [misc]simplify: iters left: 4 (92 enodes) 1554299995.187 * * [misc]simplify: iters left: 3 (112 enodes) 1554299995.203 * * [misc]simplify: iters left: 2 (131 enodes) 1554299995.232 * * [misc]simplify: iters left: 1 (150 enodes) 1554299995.274 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299995.274 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299995.274 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299995.275 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299995.275 * * [misc]simplify: Extracting #4: cost 55 inf + 289 1554299995.276 * * [misc]simplify: Extracting #5: cost 39 inf + 2094 1554299995.277 * * [misc]simplify: Extracting #6: cost 25 inf + 8027 1554299995.281 * * [misc]simplify: Extracting #7: cost 9 inf + 17572 1554299995.287 * * [misc]simplify: Extracting #8: cost 0 inf + 24022 1554299995.293 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299995.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299995.294 * * * * [misc]progress: [ 418 / 621 ] simplifiying candidate # 1554299995.294 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299995.294 * * [misc]simplify: iters left: 6 (18 enodes) 1554299995.303 * * [misc]simplify: iters left: 5 (65 enodes) 1554299995.323 * * [misc]simplify: iters left: 4 (91 enodes) 1554299995.352 * * [misc]simplify: iters left: 3 (144 enodes) 1554299995.401 * * [misc]simplify: iters left: 2 (204 enodes) 1554299995.481 * * [misc]simplify: iters left: 1 (342 enodes) 1554299995.651 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299995.652 * * [misc]simplify: Extracting #1: cost 24 inf + 0 1554299995.652 * * [misc]simplify: Extracting #2: cost 46 inf + 1 1554299995.652 * * [misc]simplify: Extracting #3: cost 53 inf + 1 1554299995.652 * * [misc]simplify: Extracting #4: cost 54 inf + 206 1554299995.653 * * [misc]simplify: Extracting #5: cost 28 inf + 6086 1554299995.656 * * [misc]simplify: Extracting #6: cost 2 inf + 16846 1554299995.661 * * [misc]simplify: Extracting #7: cost 0 inf + 18033 1554299995.665 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1554299995.665 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (* (sqrt (/ 1 (sqrt PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299995.665 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299995.666 * * [misc]simplify: iters left: 6 (21 enodes) 1554299995.671 * * [misc]simplify: iters left: 5 (74 enodes) 1554299995.690 * * [misc]simplify: iters left: 4 (92 enodes) 1554299995.704 * * [misc]simplify: iters left: 3 (112 enodes) 1554299995.721 * * [misc]simplify: iters left: 2 (131 enodes) 1554299995.752 * * [misc]simplify: iters left: 1 (150 enodes) 1554299995.772 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299995.773 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299995.773 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299995.773 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299995.773 * * [misc]simplify: Extracting #4: cost 55 inf + 289 1554299995.773 * * [misc]simplify: Extracting #5: cost 39 inf + 2094 1554299995.774 * * [misc]simplify: Extracting #6: cost 25 inf + 8027 1554299995.776 * * [misc]simplify: Extracting #7: cost 9 inf + 17052 1554299995.779 * * [misc]simplify: Extracting #8: cost 0 inf + 23142 1554299995.782 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299995.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299995.782 * * * * [misc]progress: [ 419 / 621 ] simplifiying candidate # 1554299995.782 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299995.782 * * [misc]simplify: iters left: 6 (13 enodes) 1554299995.785 * * [misc]simplify: iters left: 5 (46 enodes) 1554299995.794 * * [misc]simplify: iters left: 4 (70 enodes) 1554299995.818 * * [misc]simplify: iters left: 3 (101 enodes) 1554299995.851 * * [misc]simplify: iters left: 2 (122 enodes) 1554299995.889 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299995.889 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299995.889 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554299995.889 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299995.889 * * [misc]simplify: Extracting #4: cost 25 inf + 205 1554299995.890 * * [misc]simplify: Extracting #5: cost 17 inf + 1176 1554299995.890 * * [misc]simplify: Extracting #6: cost 11 inf + 1746 1554299995.892 * * [misc]simplify: Extracting #7: cost 3 inf + 3807 1554299995.894 * * [misc]simplify: Extracting #8: cost 0 inf + 4776 1554299995.896 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299995.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299995.897 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299995.897 * * [misc]simplify: iters left: 6 (20 enodes) 1554299995.907 * * [misc]simplify: iters left: 5 (71 enodes) 1554299995.927 * * [misc]simplify: iters left: 4 (89 enodes) 1554299995.950 * * [misc]simplify: iters left: 3 (109 enodes) 1554299995.965 * * [misc]simplify: iters left: 2 (128 enodes) 1554299995.983 * * [misc]simplify: iters left: 1 (147 enodes) 1554299996.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.007 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299996.007 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299996.007 * * [misc]simplify: Extracting #3: cost 59 inf + 1 1554299996.007 * * [misc]simplify: Extracting #4: cost 53 inf + 250 1554299996.009 * * [misc]simplify: Extracting #5: cost 31 inf + 4974 1554299996.011 * * [misc]simplify: Extracting #6: cost 21 inf + 8973 1554299996.014 * * [misc]simplify: Extracting #7: cost 1 inf + 20891 1554299996.017 * * [misc]simplify: Extracting #8: cost 0 inf + 21676 1554299996.019 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (* (cbrt (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1554299996.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow PI (- (/ k 2))) (/ (* (cbrt (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299996.020 * * * * [misc]progress: [ 420 / 621 ] simplifiying candidate # 1554299996.020 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299996.020 * * [misc]simplify: iters left: 6 (18 enodes) 1554299996.024 * * [misc]simplify: iters left: 5 (65 enodes) 1554299996.036 * * [misc]simplify: iters left: 4 (90 enodes) 1554299996.050 * * [misc]simplify: iters left: 3 (133 enodes) 1554299996.072 * * [misc]simplify: iters left: 2 (189 enodes) 1554299996.142 * * [misc]simplify: iters left: 1 (305 enodes) 1554299996.254 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.254 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554299996.254 * * [misc]simplify: Extracting #2: cost 44 inf + 1 1554299996.254 * * [misc]simplify: Extracting #3: cost 51 inf + 1 1554299996.254 * * [misc]simplify: Extracting #4: cost 53 inf + 125 1554299996.255 * * [misc]simplify: Extracting #5: cost 27 inf + 6983 1554299996.258 * * [misc]simplify: Extracting #6: cost 3 inf + 17628 1554299996.263 * * [misc]simplify: Extracting #7: cost 0 inf + 19349 1554299996.267 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299996.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299996.267 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299996.268 * * [misc]simplify: iters left: 6 (21 enodes) 1554299996.273 * * [misc]simplify: iters left: 5 (74 enodes) 1554299996.295 * * [misc]simplify: iters left: 4 (92 enodes) 1554299996.322 * * [misc]simplify: iters left: 3 (112 enodes) 1554299996.337 * * [misc]simplify: iters left: 2 (131 enodes) 1554299996.354 * * [misc]simplify: iters left: 1 (150 enodes) 1554299996.396 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.396 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299996.396 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299996.397 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299996.397 * * [misc]simplify: Extracting #4: cost 55 inf + 209 1554299996.398 * * [misc]simplify: Extracting #5: cost 39 inf + 1934 1554299996.400 * * [misc]simplify: Extracting #6: cost 25 inf + 7627 1554299996.403 * * [misc]simplify: Extracting #7: cost 9 inf + 16852 1554299996.409 * * [misc]simplify: Extracting #8: cost 0 inf + 23062 1554299996.417 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))) 1554299996.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (cbrt (pow PI (- (/ k 2))))))) 1554299996.417 * * * * [misc]progress: [ 421 / 621 ] simplifiying candidate # 1554299996.417 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299996.418 * * [misc]simplify: iters left: 6 (17 enodes) 1554299996.426 * * [misc]simplify: iters left: 5 (60 enodes) 1554299996.444 * * [misc]simplify: iters left: 4 (77 enodes) 1554299996.467 * * [misc]simplify: iters left: 3 (97 enodes) 1554299996.494 * * [misc]simplify: iters left: 2 (108 enodes) 1554299996.527 * * [misc]simplify: iters left: 1 (163 enodes) 1554299996.594 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.594 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554299996.594 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554299996.594 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299996.595 * * [misc]simplify: Extracting #4: cost 38 inf + 166 1554299996.595 * * [misc]simplify: Extracting #5: cost 26 inf + 1521 1554299996.598 * * [misc]simplify: Extracting #6: cost 7 inf + 7063 1554299996.602 * * [misc]simplify: Extracting #7: cost 1 inf + 10185 1554299996.606 * * [misc]simplify: Extracting #8: cost 0 inf + 10839 1554299996.610 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) 1554299996.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299996.610 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299996.611 * * [misc]simplify: iters left: 6 (21 enodes) 1554299996.621 * * [misc]simplify: iters left: 5 (74 enodes) 1554299996.642 * * [misc]simplify: iters left: 4 (92 enodes) 1554299996.657 * * [misc]simplify: iters left: 3 (112 enodes) 1554299996.672 * * [misc]simplify: iters left: 2 (131 enodes) 1554299996.698 * * [misc]simplify: iters left: 1 (150 enodes) 1554299996.721 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.721 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299996.721 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299996.721 * * [misc]simplify: Extracting #3: cost 60 inf + 0 1554299996.722 * * [misc]simplify: Extracting #4: cost 55 inf + 209 1554299996.722 * * [misc]simplify: Extracting #5: cost 39 inf + 1934 1554299996.724 * * [misc]simplify: Extracting #6: cost 25 inf + 7627 1554299996.728 * * [misc]simplify: Extracting #7: cost 9 inf + 16332 1554299996.733 * * [misc]simplify: Extracting #8: cost 0 inf + 22182 1554299996.736 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))) 1554299996.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (sqrt (pow PI (- (/ k 2))))))) 1554299996.736 * * * * [misc]progress: [ 422 / 621 ] simplifiying candidate # 1554299996.737 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) 1554299996.737 * * [misc]simplify: iters left: 6 (12 enodes) 1554299996.740 * * [misc]simplify: iters left: 5 (41 enodes) 1554299996.746 * * [misc]simplify: iters left: 4 (50 enodes) 1554299996.754 * * [misc]simplify: iters left: 3 (60 enodes) 1554299996.762 * * [misc]simplify: iters left: 2 (64 enodes) 1554299996.779 * * [misc]simplify: iters left: 1 (70 enodes) 1554299996.789 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.789 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299996.789 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299996.789 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554299996.789 * * [misc]simplify: Extracting #4: cost 20 inf + 2 1554299996.789 * * [misc]simplify: Extracting #5: cost 12 inf + 411 1554299996.789 * * [misc]simplify: Extracting #6: cost 8 inf + 778 1554299996.790 * * [misc]simplify: Extracting #7: cost 0 inf + 2358 1554299996.790 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) 1554299996.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299996.791 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299996.791 * * [misc]simplify: iters left: 6 (20 enodes) 1554299996.796 * * [misc]simplify: iters left: 5 (71 enodes) 1554299996.807 * * [misc]simplify: iters left: 4 (89 enodes) 1554299996.827 * * [misc]simplify: iters left: 3 (109 enodes) 1554299996.842 * * [misc]simplify: iters left: 2 (128 enodes) 1554299996.868 * * [misc]simplify: iters left: 1 (147 enodes) 1554299996.888 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299996.888 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299996.888 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299996.888 * * [misc]simplify: Extracting #3: cost 59 inf + 1 1554299996.888 * * [misc]simplify: Extracting #4: cost 53 inf + 210 1554299996.889 * * [misc]simplify: Extracting #5: cost 31 inf + 4694 1554299996.890 * * [misc]simplify: Extracting #6: cost 21 inf + 8493 1554299996.892 * * [misc]simplify: Extracting #7: cost 1 inf + 19971 1554299996.897 * * [misc]simplify: Extracting #8: cost 0 inf + 20716 1554299996.902 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (/ (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1554299996.902 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (sqrt k)) 1)) (/ (pow PI (- (/ k 2))) (/ (* (sqrt (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299996.903 * * * * [misc]progress: [ 423 / 621 ] simplifiying candidate # 1554299996.903 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299996.903 * * [misc]simplify: iters left: 6 (16 enodes) 1554299996.911 * * [misc]simplify: iters left: 5 (59 enodes) 1554299996.925 * * [misc]simplify: iters left: 4 (80 enodes) 1554299996.938 * * [misc]simplify: iters left: 3 (109 enodes) 1554299996.962 * * [misc]simplify: iters left: 2 (188 enodes) 1554299997.019 * * [misc]simplify: iters left: 1 (260 enodes) 1554299997.095 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.095 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554299997.095 * * [misc]simplify: Extracting #2: cost 35 inf + 1 1554299997.096 * * [misc]simplify: Extracting #3: cost 40 inf + 1 1554299997.096 * * [misc]simplify: Extracting #4: cost 45 inf + 2 1554299997.097 * * [misc]simplify: Extracting #5: cost 37 inf + 1020 1554299997.097 * * [misc]simplify: Extracting #6: cost 33 inf + 1467 1554299997.099 * * [misc]simplify: Extracting #7: cost 17 inf + 6663 1554299997.104 * * [misc]simplify: Extracting #8: cost 5 inf + 13391 1554299997.109 * * [misc]simplify: Extracting #9: cost 0 inf + 16221 1554299997.115 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2)))))) 1554299997.115 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (/ 1 (sqrt PI))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554299997.116 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554299997.116 * * [misc]simplify: iters left: 6 (20 enodes) 1554299997.125 * * [misc]simplify: iters left: 5 (71 enodes) 1554299997.149 * * [misc]simplify: iters left: 4 (89 enodes) 1554299997.172 * * [misc]simplify: iters left: 3 (109 enodes) 1554299997.188 * * [misc]simplify: iters left: 2 (128 enodes) 1554299997.208 * * [misc]simplify: iters left: 1 (147 enodes) 1554299997.236 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.236 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299997.236 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299997.237 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299997.237 * * [misc]simplify: Extracting #4: cost 55 inf + 47 1554299997.237 * * [misc]simplify: Extracting #5: cost 34 inf + 4008 1554299997.238 * * [misc]simplify: Extracting #6: cost 21 inf + 8677 1554299997.242 * * [misc]simplify: Extracting #7: cost 1 inf + 21235 1554299997.244 * * [misc]simplify: Extracting #8: cost 0 inf + 22020 1554299997.247 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1554299997.247 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1554299997.247 * * * * [misc]progress: [ 424 / 621 ] simplifiying candidate # 1554299997.248 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554299997.248 * * [misc]simplify: iters left: 6 (15 enodes) 1554299997.252 * * [misc]simplify: iters left: 5 (54 enodes) 1554299997.268 * * [misc]simplify: iters left: 4 (67 enodes) 1554299997.284 * * [misc]simplify: iters left: 3 (75 enodes) 1554299997.297 * * [misc]simplify: iters left: 2 (115 enodes) 1554299997.317 * * [misc]simplify: iters left: 1 (134 enodes) 1554299997.350 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.350 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554299997.350 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554299997.350 * * [misc]simplify: Extracting #3: cost 21 inf + 1 1554299997.350 * * [misc]simplify: Extracting #4: cost 25 inf + 43 1554299997.351 * * [misc]simplify: Extracting #5: cost 23 inf + 290 1554299997.351 * * [misc]simplify: Extracting #6: cost 17 inf + 861 1554299997.352 * * [misc]simplify: Extracting #7: cost 8 inf + 2723 1554299997.354 * * [misc]simplify: Extracting #8: cost 1 inf + 5779 1554299997.356 * * [misc]simplify: Extracting #9: cost 0 inf + 6273 1554299997.358 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554299997.358 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554299997.359 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554299997.359 * * [misc]simplify: iters left: 6 (20 enodes) 1554299997.367 * * [misc]simplify: iters left: 5 (71 enodes) 1554299997.378 * * [misc]simplify: iters left: 4 (89 enodes) 1554299997.391 * * [misc]simplify: iters left: 3 (109 enodes) 1554299997.415 * * [misc]simplify: iters left: 2 (128 enodes) 1554299997.433 * * [misc]simplify: iters left: 1 (147 enodes) 1554299997.456 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.456 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299997.456 * * [misc]simplify: Extracting #2: cost 45 inf + 0 1554299997.456 * * [misc]simplify: Extracting #3: cost 57 inf + 1 1554299997.456 * * [misc]simplify: Extracting #4: cost 55 inf + 47 1554299997.457 * * [misc]simplify: Extracting #5: cost 34 inf + 4008 1554299997.458 * * [misc]simplify: Extracting #6: cost 21 inf + 8597 1554299997.460 * * [misc]simplify: Extracting #7: cost 1 inf + 20395 1554299997.463 * * [misc]simplify: Extracting #8: cost 0 inf + 21140 1554299997.466 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1554299997.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (* (/ (sqrt (/ 1 (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1554299997.466 * * * * [misc]progress: [ 425 / 621 ] simplifiying candidate # 1554299997.466 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) 1554299997.466 * * [misc]simplify: iters left: 6 (9 enodes) 1554299997.469 * * [misc]simplify: iters left: 5 (30 enodes) 1554299997.474 * * [misc]simplify: iters left: 4 (33 enodes) 1554299997.483 * * [misc]simplify: iters left: 3 (36 enodes) 1554299997.492 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.492 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299997.492 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299997.492 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554299997.492 * * [misc]simplify: Extracting #4: cost 10 inf + 1 1554299997.493 * * [misc]simplify: Extracting #5: cost 1 inf + 655 1554299997.493 * * [misc]simplify: Extracting #6: cost 0 inf + 817 1554299997.493 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt PI)))) 1554299997.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299997.494 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299997.494 * * [misc]simplify: iters left: 6 (19 enodes) 1554299997.504 * * [misc]simplify: iters left: 5 (68 enodes) 1554299997.524 * * [misc]simplify: iters left: 4 (86 enodes) 1554299997.548 * * [misc]simplify: iters left: 3 (106 enodes) 1554299997.580 * * [misc]simplify: iters left: 2 (125 enodes) 1554299997.614 * * [misc]simplify: iters left: 1 (144 enodes) 1554299997.653 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.653 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299997.653 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299997.653 * * [misc]simplify: Extracting #3: cost 55 inf + 43 1554299997.654 * * [misc]simplify: Extracting #4: cost 51 inf + 170 1554299997.654 * * [misc]simplify: Extracting #5: cost 37 inf + 1912 1554299997.657 * * [misc]simplify: Extracting #6: cost 11 inf + 13653 1554299997.662 * * [misc]simplify: Extracting #7: cost 1 inf + 18808 1554299997.667 * * [misc]simplify: Extracting #8: cost 0 inf + 19674 1554299997.672 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI))))) 1554299997.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ 1 1)) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI))))))) 1554299997.672 * * * * [misc]progress: [ 426 / 621 ] simplifiying candidate # 1554299997.672 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) 1) 1554299997.672 * * [misc]simplify: iters left: 6 (8 enodes) 1554299997.677 * * [misc]simplify: iters left: 5 (27 enodes) 1554299997.686 * * [misc]simplify: iters left: 4 (32 enodes) 1554299997.695 * * [misc]simplify: iters left: 3 (35 enodes) 1554299997.704 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.704 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299997.705 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299997.705 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554299997.705 * * [misc]simplify: Extracting #4: cost 10 inf + 1 1554299997.705 * * [misc]simplify: Extracting #5: cost 7 inf + 44 1554299997.705 * * [misc]simplify: Extracting #6: cost 3 inf + 451 1554299997.705 * * [misc]simplify: Extracting #7: cost 0 inf + 817 1554299997.706 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt PI)))) 1554299997.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299997.706 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554299997.707 * * [misc]simplify: iters left: 6 (19 enodes) 1554299997.718 * * [misc]simplify: iters left: 5 (68 enodes) 1554299997.739 * * [misc]simplify: iters left: 4 (86 enodes) 1554299997.762 * * [misc]simplify: iters left: 3 (106 enodes) 1554299997.777 * * [misc]simplify: iters left: 2 (125 enodes) 1554299997.794 * * [misc]simplify: iters left: 1 (144 enodes) 1554299997.816 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.816 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554299997.816 * * [misc]simplify: Extracting #2: cost 46 inf + 0 1554299997.817 * * [misc]simplify: Extracting #3: cost 55 inf + 43 1554299997.817 * * [misc]simplify: Extracting #4: cost 51 inf + 170 1554299997.817 * * [misc]simplify: Extracting #5: cost 37 inf + 1912 1554299997.818 * * [misc]simplify: Extracting #6: cost 11 inf + 13653 1554299997.821 * * [misc]simplify: Extracting #7: cost 1 inf + 18808 1554299997.826 * * [misc]simplify: Extracting #8: cost 0 inf + 19674 1554299997.831 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI))))) 1554299997.831 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) 1) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI))))))) 1554299997.832 * * * * [misc]progress: [ 427 / 621 ] simplifiying candidate # 1554299997.832 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) 1554299997.832 * * [misc]simplify: iters left: 6 (10 enodes) 1554299997.837 * * [misc]simplify: iters left: 5 (35 enodes) 1554299997.848 * * [misc]simplify: iters left: 4 (42 enodes) 1554299997.860 * * [misc]simplify: iters left: 3 (44 enodes) 1554299997.872 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.873 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299997.873 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299997.873 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554299997.873 * * [misc]simplify: Extracting #4: cost 15 inf + 166 1554299997.873 * * [misc]simplify: Extracting #5: cost 11 inf + 291 1554299997.873 * * [misc]simplify: Extracting #6: cost 4 inf + 1267 1554299997.874 * * [misc]simplify: Extracting #7: cost 0 inf + 1956 1554299997.875 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299997.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))))) 1554299997.876 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ 1 (pow PI (- (/ k 2))))) 1554299997.876 * * [misc]simplify: iters left: 6 (18 enodes) 1554299997.885 * * [misc]simplify: iters left: 5 (65 enodes) 1554299997.905 * * [misc]simplify: iters left: 4 (79 enodes) 1554299997.927 * * [misc]simplify: iters left: 3 (90 enodes) 1554299997.955 * * [misc]simplify: iters left: 2 (115 enodes) 1554299997.978 * * [misc]simplify: iters left: 1 (132 enodes) 1554299997.995 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299997.995 * * [misc]simplify: Extracting #1: cost 13 inf + 0 1554299997.995 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554299997.995 * * [misc]simplify: Extracting #3: cost 36 inf + 2 1554299997.996 * * [misc]simplify: Extracting #4: cost 33 inf + 372 1554299997.996 * * [misc]simplify: Extracting #5: cost 27 inf + 622 1554299997.996 * * [misc]simplify: Extracting #6: cost 10 inf + 5520 1554299997.998 * * [misc]simplify: Extracting #7: cost 0 inf + 10370 1554299997.999 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))) 1554299997.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (sqrt k)) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (pow PI (- (/ k 2)))))) 1554299997.999 * * * * [misc]progress: [ 428 / 621 ] simplifiying candidate # 1554299998.000 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) 1554299998.000 * * [misc]simplify: iters left: 6 (11 enodes) 1554299998.003 * * [misc]simplify: iters left: 5 (38 enodes) 1554299998.009 * * [misc]simplify: iters left: 4 (47 enodes) 1554299998.017 * * [misc]simplify: iters left: 3 (57 enodes) 1554299998.025 * * [misc]simplify: iters left: 2 (61 enodes) 1554299998.033 * * [misc]simplify: iters left: 1 (67 enodes) 1554299998.045 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.045 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299998.045 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299998.045 * * [misc]simplify: Extracting #3: cost 14 inf + 43 1554299998.045 * * [misc]simplify: Extracting #4: cost 14 inf + 248 1554299998.046 * * [misc]simplify: Extracting #5: cost 11 inf + 291 1554299998.046 * * [misc]simplify: Extracting #6: cost 6 inf + 740 1554299998.049 * * [misc]simplify: Extracting #7: cost 2 inf + 1510 1554299998.050 * * [misc]simplify: Extracting #8: cost 0 inf + 1956 1554299998.050 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (sqrt k)) 1554299998.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299998.051 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299998.051 * * [misc]simplify: iters left: 6 (16 enodes) 1554299998.059 * * [misc]simplify: iters left: 5 (56 enodes) 1554299998.077 * * [misc]simplify: iters left: 4 (68 enodes) 1554299998.096 * * [misc]simplify: iters left: 3 (72 enodes) 1554299998.116 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.116 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299998.116 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299998.116 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299998.116 * * [misc]simplify: Extracting #4: cost 25 inf + 89 1554299998.117 * * [misc]simplify: Extracting #5: cost 8 inf + 3168 1554299998.118 * * [misc]simplify: Extracting #6: cost 0 inf + 6732 1554299998.119 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))) 1554299998.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))))) 1554299998.120 * * * * [misc]progress: [ 429 / 621 ] simplifiying candidate # 1554299998.120 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI 0))) 1554299998.120 * * [misc]simplify: iters left: 6 (13 enodes) 1554299998.127 * * [misc]simplify: iters left: 5 (43 enodes) 1554299998.140 * * [misc]simplify: iters left: 4 (48 enodes) 1554299998.153 * * [misc]simplify: iters left: 3 (59 enodes) 1554299998.169 * * [misc]simplify: iters left: 2 (66 enodes) 1554299998.187 * * [misc]simplify: iters left: 1 (68 enodes) 1554299998.204 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.204 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299998.204 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554299998.206 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554299998.206 * * [misc]simplify: Extracting #4: cost 15 inf + 166 1554299998.206 * * [misc]simplify: Extracting #5: cost 11 inf + 291 1554299998.207 * * [misc]simplify: Extracting #6: cost 7 inf + 618 1554299998.207 * * [misc]simplify: Extracting #7: cost 2 inf + 1551 1554299998.208 * * [misc]simplify: Extracting #8: cost 0 inf + 1956 1554299998.209 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (sqrt PI)))) 1554299998.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))))) 1554299998.210 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (pow PI (/ k 2))) 1554299998.210 * * [misc]simplify: iters left: 6 (16 enodes) 1554299998.218 * * [misc]simplify: iters left: 5 (56 enodes) 1554299998.235 * * [misc]simplify: iters left: 4 (68 enodes) 1554299998.254 * * [misc]simplify: iters left: 3 (72 enodes) 1554299998.274 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.274 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554299998.274 * * [misc]simplify: Extracting #2: cost 19 inf + 0 1554299998.275 * * [misc]simplify: Extracting #3: cost 29 inf + 1 1554299998.275 * * [misc]simplify: Extracting #4: cost 25 inf + 89 1554299998.275 * * [misc]simplify: Extracting #5: cost 8 inf + 3168 1554299998.277 * * [misc]simplify: Extracting #6: cost 0 inf + 6732 1554299998.278 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))) 1554299998.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt k)) (sqrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ 1 (sqrt PI))) (pow PI (/ k 2)))))) 1554299998.278 * * * * [misc]progress: [ 430 / 621 ] simplifiying candidate # 1554299998.279 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299998.279 * * [misc]simplify: iters left: 6 (13 enodes) 1554299998.285 * * [misc]simplify: iters left: 5 (43 enodes) 1554299998.298 * * [misc]simplify: iters left: 4 (51 enodes) 1554299998.312 * * [misc]simplify: iters left: 3 (53 enodes) 1554299998.327 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.327 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554299998.327 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554299998.327 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554299998.327 * * [misc]simplify: Extracting #4: cost 19 inf + 1 1554299998.327 * * [misc]simplify: Extracting #5: cost 20 inf + 44 1554299998.327 * * [misc]simplify: Extracting #6: cost 19 inf + 127 1554299998.328 * * [misc]simplify: Extracting #7: cost 11 inf + 1375 1554299998.329 * * [misc]simplify: Extracting #8: cost 1 inf + 6190 1554299998.330 * * [misc]simplify: Extracting #9: cost 0 inf + 6684 1554299998.331 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554299998.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299998.332 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299998.332 * * [misc]simplify: iters left: 6 (19 enodes) 1554299998.342 * * [misc]simplify: iters left: 5 (68 enodes) 1554299998.364 * * [misc]simplify: iters left: 4 (83 enodes) 1554299998.388 * * [misc]simplify: iters left: 3 (99 enodes) 1554299998.415 * * [misc]simplify: iters left: 2 (107 enodes) 1554299998.444 * * [misc]simplify: iters left: 1 (119 enodes) 1554299998.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.472 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299998.472 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299998.472 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299998.472 * * [misc]simplify: Extracting #4: cost 34 inf + 251 1554299998.473 * * [misc]simplify: Extracting #5: cost 29 inf + 460 1554299998.473 * * [misc]simplify: Extracting #6: cost 15 inf + 3331 1554299998.474 * * [misc]simplify: Extracting #7: cost 9 inf + 5933 1554299998.475 * * [misc]simplify: Extracting #8: cost 3 inf + 10219 1554299998.477 * * [misc]simplify: Extracting #9: cost 0 inf + 12402 1554299998.478 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299998.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299998.479 * * * * [misc]progress: [ 431 / 621 ] simplifiying candidate # 1554299998.479 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299998.479 * * [misc]simplify: iters left: 6 (12 enodes) 1554299998.482 * * [misc]simplify: iters left: 5 (38 enodes) 1554299998.488 * * [misc]simplify: iters left: 4 (42 enodes) 1554299998.495 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.495 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554299998.495 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554299998.495 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554299998.496 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1554299998.496 * * [misc]simplify: Extracting #5: cost 14 inf + 44 1554299998.496 * * [misc]simplify: Extracting #6: cost 11 inf + 291 1554299998.496 * * [misc]simplify: Extracting #7: cost 4 inf + 1748 1554299998.496 * * [misc]simplify: Extracting #8: cost 2 inf + 2615 1554299998.496 * * [misc]simplify: Extracting #9: cost 0 inf + 3482 1554299998.497 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554299998.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299998.498 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299998.498 * * [misc]simplify: iters left: 6 (19 enodes) 1554299998.507 * * [misc]simplify: iters left: 5 (68 enodes) 1554299998.527 * * [misc]simplify: iters left: 4 (83 enodes) 1554299998.540 * * [misc]simplify: iters left: 3 (99 enodes) 1554299998.554 * * [misc]simplify: iters left: 2 (107 enodes) 1554299998.583 * * [misc]simplify: iters left: 1 (119 enodes) 1554299998.615 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.615 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554299998.615 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554299998.616 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554299998.618 * * [misc]simplify: Extracting #4: cost 34 inf + 251 1554299998.618 * * [misc]simplify: Extracting #5: cost 29 inf + 460 1554299998.619 * * [misc]simplify: Extracting #6: cost 15 inf + 3331 1554299998.620 * * [misc]simplify: Extracting #7: cost 9 inf + 5813 1554299998.623 * * [misc]simplify: Extracting #8: cost 3 inf + 9859 1554299998.626 * * [misc]simplify: Extracting #9: cost 0 inf + 11922 1554299998.630 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554299998.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554299998.630 * * * * [misc]progress: [ 432 / 621 ] simplifiying candidate # 1554299998.630 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299998.631 * * [misc]simplify: iters left: 6 (15 enodes) 1554299998.638 * * [misc]simplify: iters left: 5 (55 enodes) 1554299998.655 * * [misc]simplify: iters left: 4 (91 enodes) 1554299998.681 * * [misc]simplify: iters left: 3 (134 enodes) 1554299998.707 * * [misc]simplify: iters left: 2 (208 enodes) 1554299998.770 * * [misc]simplify: iters left: 1 (260 enodes) 1554299998.818 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299998.818 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554299998.818 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554299998.818 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554299998.818 * * [misc]simplify: Extracting #4: cost 34 inf + 529 1554299998.819 * * [misc]simplify: Extracting #5: cost 27 inf + 1663 1554299998.819 * * [misc]simplify: Extracting #6: cost 22 inf + 2203 1554299998.820 * * [misc]simplify: Extracting #7: cost 14 inf + 6107 1554299998.822 * * [misc]simplify: Extracting #8: cost 1 inf + 13197 1554299998.825 * * [misc]simplify: Extracting #9: cost 0 inf + 13690 1554299998.827 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) 1554299998.827 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299998.827 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299998.827 * * [misc]simplify: iters left: 6 (20 enodes) 1554299998.832 * * [misc]simplify: iters left: 5 (73 enodes) 1554299998.844 * * [misc]simplify: iters left: 4 (98 enodes) 1554299998.863 * * [misc]simplify: iters left: 3 (151 enodes) 1554299998.894 * * [misc]simplify: iters left: 2 (216 enodes) 1554299998.963 * * [misc]simplify: iters left: 1 (313 enodes) 1554299999.059 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299999.059 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299999.059 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299999.060 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299999.060 * * [misc]simplify: Extracting #4: cost 64 inf + 1061 1554299999.061 * * [misc]simplify: Extracting #5: cost 47 inf + 5230 1554299999.064 * * [misc]simplify: Extracting #6: cost 7 inf + 27944 1554299999.070 * * [misc]simplify: Extracting #7: cost 0 inf + 32395 1554299999.076 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554299999.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299999.076 * * * * [misc]progress: [ 433 / 621 ] simplifiying candidate # 1554299999.076 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554299999.076 * * [misc]simplify: iters left: 6 (14 enodes) 1554299999.080 * * [misc]simplify: iters left: 5 (48 enodes) 1554299999.087 * * [misc]simplify: iters left: 4 (67 enodes) 1554299999.097 * * [misc]simplify: iters left: 3 (87 enodes) 1554299999.111 * * [misc]simplify: iters left: 2 (118 enodes) 1554299999.140 * * [misc]simplify: iters left: 1 (136 enodes) 1554299999.171 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299999.171 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554299999.171 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554299999.172 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554299999.172 * * [misc]simplify: Extracting #4: cost 22 inf + 650 1554299999.172 * * [misc]simplify: Extracting #5: cost 16 inf + 1543 1554299999.173 * * [misc]simplify: Extracting #6: cost 5 inf + 4921 1554299999.175 * * [misc]simplify: Extracting #7: cost 0 inf + 7266 1554299999.177 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554299999.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554299999.178 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554299999.178 * * [misc]simplify: iters left: 6 (20 enodes) 1554299999.186 * * [misc]simplify: iters left: 5 (73 enodes) 1554299999.208 * * [misc]simplify: iters left: 4 (98 enodes) 1554299999.237 * * [misc]simplify: iters left: 3 (151 enodes) 1554299999.291 * * [misc]simplify: iters left: 2 (216 enodes) 1554299999.372 * * [misc]simplify: iters left: 1 (313 enodes) 1554299999.494 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299999.494 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299999.494 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299999.494 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299999.495 * * [misc]simplify: Extracting #4: cost 64 inf + 1061 1554299999.495 * * [misc]simplify: Extracting #5: cost 47 inf + 5110 1554299999.499 * * [misc]simplify: Extracting #6: cost 7 inf + 26944 1554299999.505 * * [misc]simplify: Extracting #7: cost 0 inf + 31115 1554299999.510 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554299999.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554299999.510 * * * * [misc]progress: [ 434 / 621 ] simplifiying candidate # 1554299999.511 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554299999.511 * * [misc]simplify: iters left: 6 (8 enodes) 1554299999.513 * * [misc]simplify: iters left: 5 (26 enodes) 1554299999.518 * * [misc]simplify: iters left: 4 (42 enodes) 1554299999.524 * * [misc]simplify: iters left: 3 (49 enodes) 1554299999.530 * * [misc]simplify: iters left: 2 (50 enodes) 1554299999.536 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299999.536 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554299999.536 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554299999.536 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554299999.536 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1554299999.536 * * [misc]simplify: Extracting #5: cost 6 inf + 487 1554299999.536 * * [misc]simplify: Extracting #6: cost 1 inf + 1174 1554299999.536 * * [misc]simplify: Extracting #7: cost 0 inf + 1376 1554299999.537 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1554299999.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554299999.537 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554299999.537 * * [misc]simplify: iters left: 6 (19 enodes) 1554299999.547 * * [misc]simplify: iters left: 5 (70 enodes) 1554299999.567 * * [misc]simplify: iters left: 4 (95 enodes) 1554299999.599 * * [misc]simplify: iters left: 3 (148 enodes) 1554299999.639 * * [misc]simplify: iters left: 2 (213 enodes) 1554299999.701 * * [misc]simplify: iters left: 1 (312 enodes) 1554299999.810 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299999.810 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554299999.811 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554299999.812 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554299999.812 * * [misc]simplify: Extracting #4: cost 64 inf + 778 1554299999.814 * * [misc]simplify: Extracting #5: cost 51 inf + 2668 1554299999.819 * * [misc]simplify: Extracting #6: cost 11 inf + 22588 1554299999.830 * * [misc]simplify: Extracting #7: cost 0 inf + 28837 1554299999.835 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554299999.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554299999.835 * * * * [misc]progress: [ 435 / 621 ] simplifiying candidate # 1554299999.836 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554299999.836 * * [misc]simplify: iters left: 6 (14 enodes) 1554299999.839 * * [misc]simplify: iters left: 5 (48 enodes) 1554299999.847 * * [misc]simplify: iters left: 4 (65 enodes) 1554299999.856 * * [misc]simplify: iters left: 3 (79 enodes) 1554299999.870 * * [misc]simplify: iters left: 2 (98 enodes) 1554299999.896 * * [misc]simplify: iters left: 1 (110 enodes) 1554299999.910 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554299999.910 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554299999.910 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1554299999.910 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554299999.910 * * [misc]simplify: Extracting #4: cost 19 inf + 491 1554299999.910 * * [misc]simplify: Extracting #5: cost 15 inf + 1032 1554299999.911 * * [misc]simplify: Extracting #6: cost 1 inf + 6551 1554299999.912 * * [misc]simplify: Extracting #7: cost 0 inf + 7084 1554299999.913 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299999.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554299999.913 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554299999.913 * * [misc]simplify: iters left: 6 (20 enodes) 1554299999.918 * * [misc]simplify: iters left: 5 (73 enodes) 1554299999.929 * * [misc]simplify: iters left: 4 (98 enodes) 1554299999.958 * * [misc]simplify: iters left: 3 (151 enodes) 1554299999.986 * * [misc]simplify: iters left: 2 (216 enodes) 1554300000.063 * * [misc]simplify: iters left: 1 (313 enodes) 1554300000.191 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300000.191 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300000.192 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300000.192 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300000.193 * * [misc]simplify: Extracting #4: cost 64 inf + 901 1554300000.195 * * [misc]simplify: Extracting #5: cost 47 inf + 4870 1554300000.202 * * [misc]simplify: Extracting #6: cost 7 inf + 26744 1554300000.215 * * [misc]simplify: Extracting #7: cost 0 inf + 31115 1554300000.227 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300000.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300000.227 * * * * [misc]progress: [ 436 / 621 ] simplifiying candidate # 1554300000.227 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300000.228 * * [misc]simplify: iters left: 6 (13 enodes) 1554300000.234 * * [misc]simplify: iters left: 5 (43 enodes) 1554300000.247 * * [misc]simplify: iters left: 4 (54 enodes) 1554300000.261 * * [misc]simplify: iters left: 3 (58 enodes) 1554300000.278 * * [misc]simplify: iters left: 2 (73 enodes) 1554300000.300 * * [misc]simplify: iters left: 1 (76 enodes) 1554300000.320 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300000.320 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300000.320 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554300000.320 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554300000.320 * * [misc]simplify: Extracting #4: cost 18 inf + 44 1554300000.320 * * [misc]simplify: Extracting #5: cost 14 inf + 331 1554300000.321 * * [misc]simplify: Extracting #6: cost 8 inf + 993 1554300000.322 * * [misc]simplify: Extracting #7: cost 0 inf + 3886 1554300000.323 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1554300000.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300000.323 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300000.323 * * [misc]simplify: iters left: 6 (20 enodes) 1554300000.333 * * [misc]simplify: iters left: 5 (73 enodes) 1554300000.357 * * [misc]simplify: iters left: 4 (98 enodes) 1554300000.388 * * [misc]simplify: iters left: 3 (151 enodes) 1554300000.439 * * [misc]simplify: iters left: 2 (216 enodes) 1554300000.522 * * [misc]simplify: iters left: 1 (313 enodes) 1554300000.650 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300000.650 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300000.650 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300000.651 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300000.652 * * [misc]simplify: Extracting #4: cost 64 inf + 901 1554300000.653 * * [misc]simplify: Extracting #5: cost 47 inf + 4750 1554300000.660 * * [misc]simplify: Extracting #6: cost 7 inf + 25744 1554300000.672 * * [misc]simplify: Extracting #7: cost 0 inf + 29835 1554300000.686 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300000.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300000.686 * * * * [misc]progress: [ 437 / 621 ] simplifiying candidate # 1554300000.687 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1554300000.687 * * [misc]simplify: iters left: 6 (7 enodes) 1554300000.690 * * [misc]simplify: iters left: 5 (21 enodes) 1554300000.697 * * [misc]simplify: iters left: 4 (25 enodes) 1554300000.703 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300000.703 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300000.703 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300000.703 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554300000.703 * * [misc]simplify: Extracting #4: cost 1 inf + 368 1554300000.704 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554300000.704 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554300000.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300000.704 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300000.705 * * [misc]simplify: iters left: 6 (19 enodes) 1554300000.714 * * [misc]simplify: iters left: 5 (70 enodes) 1554300000.736 * * [misc]simplify: iters left: 4 (95 enodes) 1554300000.756 * * [misc]simplify: iters left: 3 (148 enodes) 1554300000.788 * * [misc]simplify: iters left: 2 (213 enodes) 1554300000.840 * * [misc]simplify: iters left: 1 (312 enodes) 1554300000.973 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300000.973 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300000.974 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300000.974 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300000.975 * * [misc]simplify: Extracting #4: cost 64 inf + 658 1554300000.976 * * [misc]simplify: Extracting #5: cost 51 inf + 2388 1554300000.982 * * [misc]simplify: Extracting #6: cost 11 inf + 21548 1554300000.995 * * [misc]simplify: Extracting #7: cost 0 inf + 27557 1554300001.006 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554300001.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554300001.007 * * * * [misc]progress: [ 438 / 621 ] simplifiying candidate # 1554300001.007 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300001.007 * * [misc]simplify: iters left: 6 (12 enodes) 1554300001.014 * * [misc]simplify: iters left: 5 (42 enodes) 1554300001.026 * * [misc]simplify: iters left: 4 (48 enodes) 1554300001.040 * * [misc]simplify: iters left: 3 (51 enodes) 1554300001.054 * * [misc]simplify: iters left: 2 (59 enodes) 1554300001.071 * * [misc]simplify: iters left: 1 (66 enodes) 1554300001.090 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300001.090 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300001.090 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300001.090 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554300001.090 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300001.090 * * [misc]simplify: Extracting #5: cost 17 inf + 3 1554300001.091 * * [misc]simplify: Extracting #6: cost 13 inf + 129 1554300001.091 * * [misc]simplify: Extracting #7: cost 8 inf + 920 1554300001.091 * * [misc]simplify: Extracting #8: cost 5 inf + 2120 1554300001.092 * * [misc]simplify: Extracting #9: cost 1 inf + 3774 1554300001.094 * * [misc]simplify: Extracting #10: cost 0 inf + 4228 1554300001.095 * [exit]simplify: Simplified to (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) 1554300001.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554300001.095 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554300001.096 * * [misc]simplify: iters left: 6 (19 enodes) 1554300001.105 * * [misc]simplify: iters left: 5 (70 enodes) 1554300001.126 * * [misc]simplify: iters left: 4 (95 enodes) 1554300001.158 * * [misc]simplify: iters left: 3 (148 enodes) 1554300001.183 * * [misc]simplify: iters left: 2 (213 enodes) 1554300001.258 * * [misc]simplify: iters left: 1 (312 enodes) 1554300001.380 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300001.381 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300001.381 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300001.382 * * [misc]simplify: Extracting #3: cost 70 inf + 45 1554300001.382 * * [misc]simplify: Extracting #4: cost 62 inf + 822 1554300001.384 * * [misc]simplify: Extracting #5: cost 52 inf + 2441 1554300001.390 * * [misc]simplify: Extracting #6: cost 12 inf + 22317 1554300001.402 * * [misc]simplify: Extracting #7: cost 0 inf + 29341 1554300001.411 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (cbrt (pow PI (- (/ k 2))))) 1554300001.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) 1554300001.411 * * * * [misc]progress: [ 439 / 621 ] simplifiying candidate # 1554300001.411 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554300001.411 * * [misc]simplify: iters left: 6 (11 enodes) 1554300001.415 * * [misc]simplify: iters left: 5 (37 enodes) 1554300001.421 * * [misc]simplify: iters left: 4 (41 enodes) 1554300001.426 * * [misc]simplify: iters left: 3 (45 enodes) 1554300001.432 * * [misc]simplify: iters left: 2 (47 enodes) 1554300001.443 * * [misc]simplify: iters left: 1 (49 enodes) 1554300001.458 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300001.458 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300001.459 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554300001.459 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300001.459 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554300001.459 * * [misc]simplify: Extracting #5: cost 9 inf + 128 1554300001.459 * * [misc]simplify: Extracting #6: cost 5 inf + 627 1554300001.459 * * [misc]simplify: Extracting #7: cost 1 inf + 1960 1554300001.459 * * [misc]simplify: Extracting #8: cost 0 inf + 2334 1554300001.460 * [exit]simplify: Simplified to (sqrt (pow PI (/ (- k) 2))) 1554300001.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (/ (- k) 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554300001.460 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554300001.460 * * [misc]simplify: iters left: 6 (19 enodes) 1554300001.465 * * [misc]simplify: iters left: 5 (70 enodes) 1554300001.475 * * [misc]simplify: iters left: 4 (95 enodes) 1554300001.494 * * [misc]simplify: iters left: 3 (148 enodes) 1554300001.519 * * [misc]simplify: iters left: 2 (213 enodes) 1554300001.598 * * [misc]simplify: iters left: 1 (312 enodes) 1554300001.708 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300001.708 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300001.708 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300001.709 * * [misc]simplify: Extracting #3: cost 70 inf + 45 1554300001.709 * * [misc]simplify: Extracting #4: cost 62 inf + 822 1554300001.710 * * [misc]simplify: Extracting #5: cost 52 inf + 2441 1554300001.713 * * [misc]simplify: Extracting #6: cost 12 inf + 21397 1554300001.718 * * [misc]simplify: Extracting #7: cost 0 inf + 28061 1554300001.727 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (sqrt (pow PI (- (/ k 2))))) 1554300001.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (sqrt (pow PI (- (/ k 2))))))) 1554300001.727 * * * * [misc]progress: [ 440 / 621 ] simplifiying candidate # 1554300001.730 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1554300001.730 * * [misc]simplify: iters left: 4 (3 enodes) 1554300001.733 * * [misc]simplify: iters left: 3 (7 enodes) 1554300001.735 * * [misc]simplify: iters left: 2 (9 enodes) 1554300001.737 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300001.737 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300001.737 * [exit]simplify: Simplified to 1 1554300001.737 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300001.738 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300001.738 * * [misc]simplify: iters left: 6 (18 enodes) 1554300001.747 * * [misc]simplify: iters left: 5 (67 enodes) 1554300001.767 * * [misc]simplify: iters left: 4 (92 enodes) 1554300001.795 * * [misc]simplify: iters left: 3 (145 enodes) 1554300001.828 * * [misc]simplify: iters left: 2 (210 enodes) 1554300001.891 * * [misc]simplify: iters left: 1 (309 enodes) 1554300002.009 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.009 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300002.009 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300002.010 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554300002.010 * * [misc]simplify: Extracting #4: cost 63 inf + 578 1554300002.012 * * [misc]simplify: Extracting #5: cost 42 inf + 6176 1554300002.021 * * [misc]simplify: Extracting #6: cost 4 inf + 24622 1554300002.030 * * [misc]simplify: Extracting #7: cost 0 inf + 26607 1554300002.041 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))) 1554300002.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1554300002.041 * * * * [misc]progress: [ 441 / 621 ] simplifiying candidate # 1554300002.041 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1554300002.041 * * [misc]simplify: iters left: 4 (3 enodes) 1554300002.043 * * [misc]simplify: iters left: 3 (7 enodes) 1554300002.045 * * [misc]simplify: iters left: 2 (9 enodes) 1554300002.048 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.048 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300002.048 * [exit]simplify: Simplified to 1 1554300002.048 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300002.048 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300002.048 * * [misc]simplify: iters left: 6 (18 enodes) 1554300002.060 * * [misc]simplify: iters left: 5 (67 enodes) 1554300002.080 * * [misc]simplify: iters left: 4 (92 enodes) 1554300002.108 * * [misc]simplify: iters left: 3 (145 enodes) 1554300002.158 * * [misc]simplify: iters left: 2 (210 enodes) 1554300002.208 * * [misc]simplify: iters left: 1 (309 enodes) 1554300002.320 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.320 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300002.320 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300002.321 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554300002.322 * * [misc]simplify: Extracting #4: cost 63 inf + 578 1554300002.323 * * [misc]simplify: Extracting #5: cost 42 inf + 6176 1554300002.332 * * [misc]simplify: Extracting #6: cost 4 inf + 24622 1554300002.342 * * [misc]simplify: Extracting #7: cost 0 inf + 26607 1554300002.348 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))) 1554300002.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1554300002.349 * * * * [misc]progress: [ 442 / 621 ] simplifiying candidate # 1554300002.349 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1554300002.349 * * [misc]simplify: iters left: 4 (5 enodes) 1554300002.350 * * [misc]simplify: iters left: 3 (15 enodes) 1554300002.353 * * [misc]simplify: iters left: 2 (17 enodes) 1554300002.355 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.355 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300002.355 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300002.355 * * [misc]simplify: Extracting #3: cost 1 inf + 207 1554300002.356 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300002.356 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300002.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554300002.356 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554300002.356 * * [misc]simplify: iters left: 6 (17 enodes) 1554300002.362 * * [misc]simplify: iters left: 5 (64 enodes) 1554300002.373 * * [misc]simplify: iters left: 4 (80 enodes) 1554300002.392 * * [misc]simplify: iters left: 3 (98 enodes) 1554300002.420 * * [misc]simplify: iters left: 2 (121 enodes) 1554300002.440 * * [misc]simplify: iters left: 1 (135 enodes) 1554300002.461 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.461 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554300002.461 * * [misc]simplify: Extracting #2: cost 29 inf + 1 1554300002.461 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300002.461 * * [misc]simplify: Extracting #4: cost 31 inf + 251 1554300002.462 * * [misc]simplify: Extracting #5: cost 26 inf + 460 1554300002.462 * * [misc]simplify: Extracting #6: cost 5 inf + 7529 1554300002.464 * * [misc]simplify: Extracting #7: cost 0 inf + 9480 1554300002.466 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))) 1554300002.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))))) 1554300002.466 * * * * [misc]progress: [ 443 / 621 ] simplifiying candidate # 1554300002.467 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) 1)) 1554300002.467 * * [misc]simplify: iters left: 5 (6 enodes) 1554300002.470 * * [misc]simplify: iters left: 4 (18 enodes) 1554300002.476 * * [misc]simplify: iters left: 3 (22 enodes) 1554300002.482 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.482 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300002.482 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300002.482 * * [misc]simplify: Extracting #3: cost 1 inf + 207 1554300002.482 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300002.482 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300002.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300002.483 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300002.483 * * [misc]simplify: iters left: 6 (15 enodes) 1554300002.490 * * [misc]simplify: iters left: 5 (55 enodes) 1554300002.502 * * [misc]simplify: iters left: 4 (72 enodes) 1554300002.512 * * [misc]simplify: iters left: 3 (90 enodes) 1554300002.525 * * [misc]simplify: iters left: 2 (98 enodes) 1554300002.551 * * [misc]simplify: iters left: 1 (109 enodes) 1554300002.582 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.582 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300002.583 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300002.583 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554300002.583 * * [misc]simplify: Extracting #4: cost 26 inf + 465 1554300002.584 * * [misc]simplify: Extracting #5: cost 11 inf + 4133 1554300002.586 * * [misc]simplify: Extracting #6: cost 1 inf + 7923 1554300002.589 * * [misc]simplify: Extracting #7: cost 0 inf + 8588 1554300002.590 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))) 1554300002.590 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))) 1554300002.590 * * * * [misc]progress: [ 444 / 621 ] simplifiying candidate # 1554300002.591 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow PI 0))) 1554300002.591 * * [misc]simplify: iters left: 5 (9 enodes) 1554300002.593 * * [misc]simplify: iters left: 4 (26 enodes) 1554300002.596 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.597 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300002.597 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300002.597 * * [misc]simplify: Extracting #3: cost 2 inf + 125 1554300002.597 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300002.597 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300002.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300002.597 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300002.597 * * [misc]simplify: iters left: 6 (15 enodes) 1554300002.601 * * [misc]simplify: iters left: 5 (55 enodes) 1554300002.610 * * [misc]simplify: iters left: 4 (72 enodes) 1554300002.621 * * [misc]simplify: iters left: 3 (90 enodes) 1554300002.637 * * [misc]simplify: iters left: 2 (98 enodes) 1554300002.650 * * [misc]simplify: iters left: 1 (109 enodes) 1554300002.673 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.673 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300002.673 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300002.674 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554300002.674 * * [misc]simplify: Extracting #4: cost 26 inf + 465 1554300002.675 * * [misc]simplify: Extracting #5: cost 11 inf + 4133 1554300002.677 * * [misc]simplify: Extracting #6: cost 1 inf + 7923 1554300002.679 * * [misc]simplify: Extracting #7: cost 0 inf + 8588 1554300002.681 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))) 1554300002.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))) 1554300002.682 * * * * [misc]progress: [ 445 / 621 ] simplifiying candidate # 1554300002.682 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300002.682 * * [misc]simplify: iters left: 6 (13 enodes) 1554300002.688 * * [misc]simplify: iters left: 5 (43 enodes) 1554300002.701 * * [misc]simplify: iters left: 4 (51 enodes) 1554300002.712 * * [misc]simplify: iters left: 3 (53 enodes) 1554300002.719 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.719 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300002.719 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300002.719 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300002.719 * * [misc]simplify: Extracting #4: cost 19 inf + 1 1554300002.719 * * [misc]simplify: Extracting #5: cost 20 inf + 44 1554300002.719 * * [misc]simplify: Extracting #6: cost 19 inf + 127 1554300002.719 * * [misc]simplify: Extracting #7: cost 11 inf + 1375 1554300002.720 * * [misc]simplify: Extracting #8: cost 1 inf + 6190 1554300002.720 * * [misc]simplify: Extracting #9: cost 0 inf + 6684 1554300002.721 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300002.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300002.721 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300002.721 * * [misc]simplify: iters left: 6 (19 enodes) 1554300002.726 * * [misc]simplify: iters left: 5 (68 enodes) 1554300002.736 * * [misc]simplify: iters left: 4 (83 enodes) 1554300002.759 * * [misc]simplify: iters left: 3 (99 enodes) 1554300002.783 * * [misc]simplify: iters left: 2 (107 enodes) 1554300002.799 * * [misc]simplify: iters left: 1 (119 enodes) 1554300002.824 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.824 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300002.824 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300002.825 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300002.825 * * [misc]simplify: Extracting #4: cost 34 inf + 251 1554300002.825 * * [misc]simplify: Extracting #5: cost 29 inf + 460 1554300002.826 * * [misc]simplify: Extracting #6: cost 15 inf + 3331 1554300002.828 * * [misc]simplify: Extracting #7: cost 9 inf + 5933 1554300002.830 * * [misc]simplify: Extracting #8: cost 3 inf + 10219 1554300002.833 * * [misc]simplify: Extracting #9: cost 0 inf + 12402 1554300002.837 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300002.837 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300002.837 * * * * [misc]progress: [ 446 / 621 ] simplifiying candidate # 1554300002.837 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300002.838 * * [misc]simplify: iters left: 6 (12 enodes) 1554300002.843 * * [misc]simplify: iters left: 5 (38 enodes) 1554300002.850 * * [misc]simplify: iters left: 4 (42 enodes) 1554300002.855 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.855 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300002.855 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300002.855 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554300002.855 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1554300002.856 * * [misc]simplify: Extracting #5: cost 14 inf + 44 1554300002.856 * * [misc]simplify: Extracting #6: cost 11 inf + 291 1554300002.856 * * [misc]simplify: Extracting #7: cost 4 inf + 1748 1554300002.856 * * [misc]simplify: Extracting #8: cost 2 inf + 2615 1554300002.856 * * [misc]simplify: Extracting #9: cost 0 inf + 3482 1554300002.857 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554300002.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300002.857 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300002.857 * * [misc]simplify: iters left: 6 (19 enodes) 1554300002.862 * * [misc]simplify: iters left: 5 (68 enodes) 1554300002.871 * * [misc]simplify: iters left: 4 (83 enodes) 1554300002.893 * * [misc]simplify: iters left: 3 (99 enodes) 1554300002.912 * * [misc]simplify: iters left: 2 (107 enodes) 1554300002.926 * * [misc]simplify: iters left: 1 (119 enodes) 1554300002.951 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300002.951 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300002.952 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300002.952 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300002.952 * * [misc]simplify: Extracting #4: cost 34 inf + 251 1554300002.952 * * [misc]simplify: Extracting #5: cost 29 inf + 460 1554300002.953 * * [misc]simplify: Extracting #6: cost 15 inf + 3331 1554300002.955 * * [misc]simplify: Extracting #7: cost 9 inf + 5813 1554300002.957 * * [misc]simplify: Extracting #8: cost 3 inf + 9859 1554300002.961 * * [misc]simplify: Extracting #9: cost 0 inf + 11922 1554300002.964 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300002.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300002.965 * * * * [misc]progress: [ 447 / 621 ] simplifiying candidate # 1554300002.965 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300002.965 * * [misc]simplify: iters left: 6 (15 enodes) 1554300002.972 * * [misc]simplify: iters left: 5 (55 enodes) 1554300002.989 * * [misc]simplify: iters left: 4 (91 enodes) 1554300003.021 * * [misc]simplify: iters left: 3 (134 enodes) 1554300003.069 * * [misc]simplify: iters left: 2 (208 enodes) 1554300003.165 * * [misc]simplify: iters left: 1 (260 enodes) 1554300003.233 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300003.233 * * [misc]simplify: Extracting #1: cost 17 inf + 0 1554300003.233 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300003.234 * * [misc]simplify: Extracting #3: cost 37 inf + 1 1554300003.234 * * [misc]simplify: Extracting #4: cost 34 inf + 529 1554300003.234 * * [misc]simplify: Extracting #5: cost 27 inf + 1663 1554300003.235 * * [misc]simplify: Extracting #6: cost 22 inf + 2203 1554300003.235 * * [misc]simplify: Extracting #7: cost 14 inf + 6107 1554300003.237 * * [misc]simplify: Extracting #8: cost 1 inf + 13197 1554300003.240 * * [misc]simplify: Extracting #9: cost 0 inf + 13690 1554300003.242 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) 1554300003.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300003.243 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300003.243 * * [misc]simplify: iters left: 6 (20 enodes) 1554300003.248 * * [misc]simplify: iters left: 5 (73 enodes) 1554300003.260 * * [misc]simplify: iters left: 4 (98 enodes) 1554300003.285 * * [misc]simplify: iters left: 3 (151 enodes) 1554300003.316 * * [misc]simplify: iters left: 2 (216 enodes) 1554300003.360 * * [misc]simplify: iters left: 1 (313 enodes) 1554300003.483 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300003.483 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300003.483 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300003.484 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300003.485 * * [misc]simplify: Extracting #4: cost 64 inf + 1061 1554300003.486 * * [misc]simplify: Extracting #5: cost 47 inf + 5230 1554300003.493 * * [misc]simplify: Extracting #6: cost 7 inf + 27944 1554300003.505 * * [misc]simplify: Extracting #7: cost 0 inf + 32395 1554300003.514 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300003.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300003.515 * * * * [misc]progress: [ 448 / 621 ] simplifiying candidate # 1554300003.515 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554300003.515 * * [misc]simplify: iters left: 6 (14 enodes) 1554300003.518 * * [misc]simplify: iters left: 5 (48 enodes) 1554300003.528 * * [misc]simplify: iters left: 4 (67 enodes) 1554300003.538 * * [misc]simplify: iters left: 3 (87 enodes) 1554300003.558 * * [misc]simplify: iters left: 2 (118 enodes) 1554300003.586 * * [misc]simplify: iters left: 1 (136 enodes) 1554300003.604 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300003.604 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554300003.604 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554300003.604 * * [misc]simplify: Extracting #3: cost 26 inf + 1 1554300003.604 * * [misc]simplify: Extracting #4: cost 22 inf + 650 1554300003.604 * * [misc]simplify: Extracting #5: cost 16 inf + 1543 1554300003.605 * * [misc]simplify: Extracting #6: cost 5 inf + 4921 1554300003.607 * * [misc]simplify: Extracting #7: cost 0 inf + 7266 1554300003.610 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554300003.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300003.610 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300003.610 * * [misc]simplify: iters left: 6 (20 enodes) 1554300003.623 * * [misc]simplify: iters left: 5 (73 enodes) 1554300003.642 * * [misc]simplify: iters left: 4 (98 enodes) 1554300003.658 * * [misc]simplify: iters left: 3 (151 enodes) 1554300003.694 * * [misc]simplify: iters left: 2 (216 enodes) 1554300003.754 * * [misc]simplify: iters left: 1 (313 enodes) 1554300003.844 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300003.844 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300003.844 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300003.845 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300003.845 * * [misc]simplify: Extracting #4: cost 64 inf + 1061 1554300003.846 * * [misc]simplify: Extracting #5: cost 47 inf + 5110 1554300003.849 * * [misc]simplify: Extracting #6: cost 7 inf + 26944 1554300003.855 * * [misc]simplify: Extracting #7: cost 0 inf + 31115 1554300003.861 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300003.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300003.861 * * * * [misc]progress: [ 449 / 621 ] simplifiying candidate # 1554300003.862 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554300003.862 * * [misc]simplify: iters left: 6 (8 enodes) 1554300003.864 * * [misc]simplify: iters left: 5 (26 enodes) 1554300003.872 * * [misc]simplify: iters left: 4 (42 enodes) 1554300003.883 * * [misc]simplify: iters left: 3 (49 enodes) 1554300003.896 * * [misc]simplify: iters left: 2 (50 enodes) 1554300003.907 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300003.907 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300003.907 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300003.907 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554300003.907 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1554300003.907 * * [misc]simplify: Extracting #5: cost 6 inf + 487 1554300003.908 * * [misc]simplify: Extracting #6: cost 1 inf + 1174 1554300003.908 * * [misc]simplify: Extracting #7: cost 0 inf + 1376 1554300003.909 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1554300003.909 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300003.909 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300003.909 * * [misc]simplify: iters left: 6 (19 enodes) 1554300003.919 * * [misc]simplify: iters left: 5 (70 enodes) 1554300003.941 * * [misc]simplify: iters left: 4 (95 enodes) 1554300003.968 * * [misc]simplify: iters left: 3 (148 enodes) 1554300004.003 * * [misc]simplify: iters left: 2 (213 enodes) 1554300004.065 * * [misc]simplify: iters left: 1 (312 enodes) 1554300004.181 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300004.181 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300004.184 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300004.184 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300004.185 * * [misc]simplify: Extracting #4: cost 64 inf + 778 1554300004.186 * * [misc]simplify: Extracting #5: cost 51 inf + 2668 1554300004.192 * * [misc]simplify: Extracting #6: cost 11 inf + 22588 1554300004.200 * * [misc]simplify: Extracting #7: cost 0 inf + 28837 1554300004.205 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554300004.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554300004.206 * * * * [misc]progress: [ 450 / 621 ] simplifiying candidate # 1554300004.206 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300004.206 * * [misc]simplify: iters left: 6 (14 enodes) 1554300004.210 * * [misc]simplify: iters left: 5 (48 enodes) 1554300004.217 * * [misc]simplify: iters left: 4 (65 enodes) 1554300004.226 * * [misc]simplify: iters left: 3 (79 enodes) 1554300004.248 * * [misc]simplify: iters left: 2 (98 enodes) 1554300004.277 * * [misc]simplify: iters left: 1 (110 enodes) 1554300004.307 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300004.307 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554300004.307 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1554300004.308 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554300004.308 * * [misc]simplify: Extracting #4: cost 19 inf + 491 1554300004.308 * * [misc]simplify: Extracting #5: cost 15 inf + 1032 1554300004.310 * * [misc]simplify: Extracting #6: cost 1 inf + 6551 1554300004.311 * * [misc]simplify: Extracting #7: cost 0 inf + 7084 1554300004.313 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300004.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300004.314 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300004.314 * * [misc]simplify: iters left: 6 (20 enodes) 1554300004.324 * * [misc]simplify: iters left: 5 (73 enodes) 1554300004.345 * * [misc]simplify: iters left: 4 (98 enodes) 1554300004.376 * * [misc]simplify: iters left: 3 (151 enodes) 1554300004.426 * * [misc]simplify: iters left: 2 (216 enodes) 1554300004.481 * * [misc]simplify: iters left: 1 (313 enodes) 1554300004.580 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300004.580 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300004.580 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300004.580 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300004.581 * * [misc]simplify: Extracting #4: cost 64 inf + 901 1554300004.583 * * [misc]simplify: Extracting #5: cost 47 inf + 4870 1554300004.589 * * [misc]simplify: Extracting #6: cost 7 inf + 26744 1554300004.601 * * [misc]simplify: Extracting #7: cost 0 inf + 31115 1554300004.614 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300004.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300004.615 * * * * [misc]progress: [ 451 / 621 ] simplifiying candidate # 1554300004.615 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300004.615 * * [misc]simplify: iters left: 6 (13 enodes) 1554300004.622 * * [misc]simplify: iters left: 5 (43 enodes) 1554300004.635 * * [misc]simplify: iters left: 4 (54 enodes) 1554300004.650 * * [misc]simplify: iters left: 3 (58 enodes) 1554300004.667 * * [misc]simplify: iters left: 2 (73 enodes) 1554300004.689 * * [misc]simplify: iters left: 1 (76 enodes) 1554300004.705 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300004.705 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300004.705 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554300004.705 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554300004.705 * * [misc]simplify: Extracting #4: cost 18 inf + 44 1554300004.706 * * [misc]simplify: Extracting #5: cost 14 inf + 331 1554300004.706 * * [misc]simplify: Extracting #6: cost 8 inf + 993 1554300004.706 * * [misc]simplify: Extracting #7: cost 0 inf + 3886 1554300004.707 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1554300004.707 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300004.707 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300004.707 * * [misc]simplify: iters left: 6 (20 enodes) 1554300004.712 * * [misc]simplify: iters left: 5 (73 enodes) 1554300004.724 * * [misc]simplify: iters left: 4 (98 enodes) 1554300004.742 * * [misc]simplify: iters left: 3 (151 enodes) 1554300004.770 * * [misc]simplify: iters left: 2 (216 enodes) 1554300004.841 * * [misc]simplify: iters left: 1 (313 enodes) 1554300004.950 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300004.950 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300004.951 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300004.951 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300004.952 * * [misc]simplify: Extracting #4: cost 64 inf + 901 1554300004.954 * * [misc]simplify: Extracting #5: cost 47 inf + 4750 1554300004.960 * * [misc]simplify: Extracting #6: cost 7 inf + 25744 1554300004.972 * * [misc]simplify: Extracting #7: cost 0 inf + 29835 1554300004.984 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300004.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300004.985 * * * * [misc]progress: [ 452 / 621 ] simplifiying candidate # 1554300004.985 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1554300004.985 * * [misc]simplify: iters left: 6 (7 enodes) 1554300004.989 * * [misc]simplify: iters left: 5 (21 enodes) 1554300004.995 * * [misc]simplify: iters left: 4 (25 enodes) 1554300005.001 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.001 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300005.001 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300005.001 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554300005.001 * * [misc]simplify: Extracting #4: cost 1 inf + 368 1554300005.002 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554300005.002 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554300005.002 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300005.002 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300005.003 * * [misc]simplify: iters left: 6 (19 enodes) 1554300005.012 * * [misc]simplify: iters left: 5 (70 enodes) 1554300005.023 * * [misc]simplify: iters left: 4 (95 enodes) 1554300005.040 * * [misc]simplify: iters left: 3 (148 enodes) 1554300005.088 * * [misc]simplify: iters left: 2 (213 enodes) 1554300005.155 * * [misc]simplify: iters left: 1 (312 enodes) 1554300005.268 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.269 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300005.269 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300005.270 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300005.270 * * [misc]simplify: Extracting #4: cost 64 inf + 658 1554300005.272 * * [misc]simplify: Extracting #5: cost 51 inf + 2388 1554300005.277 * * [misc]simplify: Extracting #6: cost 11 inf + 21548 1554300005.289 * * [misc]simplify: Extracting #7: cost 0 inf + 27557 1554300005.300 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554300005.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554300005.300 * * * * [misc]progress: [ 453 / 621 ] simplifiying candidate # 1554300005.301 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300005.301 * * [misc]simplify: iters left: 6 (12 enodes) 1554300005.307 * * [misc]simplify: iters left: 5 (42 enodes) 1554300005.319 * * [misc]simplify: iters left: 4 (48 enodes) 1554300005.332 * * [misc]simplify: iters left: 3 (51 enodes) 1554300005.348 * * [misc]simplify: iters left: 2 (59 enodes) 1554300005.357 * * [misc]simplify: iters left: 1 (66 enodes) 1554300005.366 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.366 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300005.366 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300005.366 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554300005.366 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300005.366 * * [misc]simplify: Extracting #5: cost 17 inf + 3 1554300005.366 * * [misc]simplify: Extracting #6: cost 13 inf + 129 1554300005.367 * * [misc]simplify: Extracting #7: cost 8 inf + 920 1554300005.367 * * [misc]simplify: Extracting #8: cost 5 inf + 2120 1554300005.367 * * [misc]simplify: Extracting #9: cost 1 inf + 3774 1554300005.368 * * [misc]simplify: Extracting #10: cost 0 inf + 4228 1554300005.369 * [exit]simplify: Simplified to (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) 1554300005.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (/ (- k) 2))) (cbrt (pow PI (/ (- k) 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554300005.369 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554300005.369 * * [misc]simplify: iters left: 6 (19 enodes) 1554300005.374 * * [misc]simplify: iters left: 5 (70 enodes) 1554300005.384 * * [misc]simplify: iters left: 4 (95 enodes) 1554300005.402 * * [misc]simplify: iters left: 3 (148 enodes) 1554300005.435 * * [misc]simplify: iters left: 2 (213 enodes) 1554300005.484 * * [misc]simplify: iters left: 1 (312 enodes) 1554300005.610 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.610 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300005.611 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300005.611 * * [misc]simplify: Extracting #3: cost 70 inf + 45 1554300005.611 * * [misc]simplify: Extracting #4: cost 62 inf + 822 1554300005.612 * * [misc]simplify: Extracting #5: cost 52 inf + 2441 1554300005.618 * * [misc]simplify: Extracting #6: cost 12 inf + 22317 1554300005.628 * * [misc]simplify: Extracting #7: cost 0 inf + 29341 1554300005.634 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (cbrt (pow PI (- (/ k 2))))) 1554300005.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) 1554300005.634 * * * * [misc]progress: [ 454 / 621 ] simplifiying candidate # 1554300005.634 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554300005.634 * * [misc]simplify: iters left: 6 (11 enodes) 1554300005.638 * * [misc]simplify: iters left: 5 (37 enodes) 1554300005.643 * * [misc]simplify: iters left: 4 (41 enodes) 1554300005.649 * * [misc]simplify: iters left: 3 (45 enodes) 1554300005.655 * * [misc]simplify: iters left: 2 (47 enodes) 1554300005.662 * * [misc]simplify: iters left: 1 (49 enodes) 1554300005.669 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.669 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300005.669 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554300005.670 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300005.670 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554300005.670 * * [misc]simplify: Extracting #5: cost 9 inf + 128 1554300005.670 * * [misc]simplify: Extracting #6: cost 5 inf + 627 1554300005.670 * * [misc]simplify: Extracting #7: cost 1 inf + 1960 1554300005.670 * * [misc]simplify: Extracting #8: cost 0 inf + 2334 1554300005.671 * [exit]simplify: Simplified to (sqrt (pow PI (/ (- k) 2))) 1554300005.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (/ (- k) 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554300005.671 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554300005.671 * * [misc]simplify: iters left: 6 (19 enodes) 1554300005.676 * * [misc]simplify: iters left: 5 (70 enodes) 1554300005.686 * * [misc]simplify: iters left: 4 (95 enodes) 1554300005.703 * * [misc]simplify: iters left: 3 (148 enodes) 1554300005.730 * * [misc]simplify: iters left: 2 (213 enodes) 1554300005.783 * * [misc]simplify: iters left: 1 (312 enodes) 1554300005.903 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.903 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300005.904 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300005.905 * * [misc]simplify: Extracting #3: cost 70 inf + 45 1554300005.905 * * [misc]simplify: Extracting #4: cost 62 inf + 822 1554300005.907 * * [misc]simplify: Extracting #5: cost 52 inf + 2441 1554300005.913 * * [misc]simplify: Extracting #6: cost 12 inf + 21397 1554300005.924 * * [misc]simplify: Extracting #7: cost 0 inf + 28061 1554300005.936 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (sqrt (pow PI (- (/ k 2))))) 1554300005.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (sqrt (pow PI (- (/ k 2))))))) 1554300005.936 * * * * [misc]progress: [ 455 / 621 ] simplifiying candidate # 1554300005.936 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1554300005.936 * * [misc]simplify: iters left: 4 (3 enodes) 1554300005.938 * * [misc]simplify: iters left: 3 (7 enodes) 1554300005.941 * * [misc]simplify: iters left: 2 (9 enodes) 1554300005.943 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300005.943 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300005.943 * [exit]simplify: Simplified to 1 1554300005.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300005.944 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300005.944 * * [misc]simplify: iters left: 6 (18 enodes) 1554300005.953 * * [misc]simplify: iters left: 5 (67 enodes) 1554300005.974 * * [misc]simplify: iters left: 4 (92 enodes) 1554300006.004 * * [misc]simplify: iters left: 3 (145 enodes) 1554300006.046 * * [misc]simplify: iters left: 2 (210 enodes) 1554300006.105 * * [misc]simplify: iters left: 1 (309 enodes) 1554300006.217 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.217 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300006.217 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300006.217 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554300006.218 * * [misc]simplify: Extracting #4: cost 63 inf + 578 1554300006.219 * * [misc]simplify: Extracting #5: cost 42 inf + 6176 1554300006.223 * * [misc]simplify: Extracting #6: cost 4 inf + 24622 1554300006.228 * * [misc]simplify: Extracting #7: cost 0 inf + 26607 1554300006.233 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))) 1554300006.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1554300006.233 * * * * [misc]progress: [ 456 / 621 ] simplifiying candidate # 1554300006.233 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1554300006.233 * * [misc]simplify: iters left: 4 (3 enodes) 1554300006.235 * * [misc]simplify: iters left: 3 (7 enodes) 1554300006.237 * * [misc]simplify: iters left: 2 (9 enodes) 1554300006.240 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.240 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300006.240 * [exit]simplify: Simplified to 1 1554300006.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300006.241 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300006.241 * * [misc]simplify: iters left: 6 (18 enodes) 1554300006.250 * * [misc]simplify: iters left: 5 (67 enodes) 1554300006.270 * * [misc]simplify: iters left: 4 (92 enodes) 1554300006.285 * * [misc]simplify: iters left: 3 (145 enodes) 1554300006.312 * * [misc]simplify: iters left: 2 (210 enodes) 1554300006.379 * * [misc]simplify: iters left: 1 (309 enodes) 1554300006.502 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.502 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300006.503 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300006.504 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554300006.504 * * [misc]simplify: Extracting #4: cost 63 inf + 578 1554300006.506 * * [misc]simplify: Extracting #5: cost 42 inf + 6176 1554300006.515 * * [misc]simplify: Extracting #6: cost 4 inf + 24622 1554300006.525 * * [misc]simplify: Extracting #7: cost 0 inf + 26607 1554300006.536 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))) 1554300006.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1554300006.536 * * * * [misc]progress: [ 457 / 621 ] simplifiying candidate # 1554300006.537 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1554300006.537 * * [misc]simplify: iters left: 4 (5 enodes) 1554300006.540 * * [misc]simplify: iters left: 3 (15 enodes) 1554300006.544 * * [misc]simplify: iters left: 2 (17 enodes) 1554300006.549 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.549 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300006.549 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300006.549 * * [misc]simplify: Extracting #3: cost 1 inf + 207 1554300006.549 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300006.550 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300006.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554300006.550 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554300006.550 * * [misc]simplify: iters left: 6 (17 enodes) 1554300006.558 * * [misc]simplify: iters left: 5 (64 enodes) 1554300006.568 * * [misc]simplify: iters left: 4 (80 enodes) 1554300006.580 * * [misc]simplify: iters left: 3 (98 enodes) 1554300006.598 * * [misc]simplify: iters left: 2 (121 enodes) 1554300006.623 * * [misc]simplify: iters left: 1 (135 enodes) 1554300006.643 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.643 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554300006.643 * * [misc]simplify: Extracting #2: cost 29 inf + 1 1554300006.643 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300006.643 * * [misc]simplify: Extracting #4: cost 31 inf + 251 1554300006.643 * * [misc]simplify: Extracting #5: cost 26 inf + 460 1554300006.644 * * [misc]simplify: Extracting #6: cost 5 inf + 7529 1554300006.646 * * [misc]simplify: Extracting #7: cost 0 inf + 9480 1554300006.647 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))) 1554300006.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))))) 1554300006.647 * * * * [misc]progress: [ 458 / 621 ] simplifiying candidate # 1554300006.647 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) 1)) 1554300006.648 * * [misc]simplify: iters left: 5 (6 enodes) 1554300006.649 * * [misc]simplify: iters left: 4 (18 enodes) 1554300006.653 * * [misc]simplify: iters left: 3 (22 enodes) 1554300006.655 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.655 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300006.656 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300006.656 * * [misc]simplify: Extracting #3: cost 1 inf + 207 1554300006.656 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300006.656 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300006.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300006.656 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300006.656 * * [misc]simplify: iters left: 6 (15 enodes) 1554300006.660 * * [misc]simplify: iters left: 5 (55 enodes) 1554300006.669 * * [misc]simplify: iters left: 4 (72 enodes) 1554300006.684 * * [misc]simplify: iters left: 3 (90 enodes) 1554300006.697 * * [misc]simplify: iters left: 2 (98 enodes) 1554300006.711 * * [misc]simplify: iters left: 1 (109 enodes) 1554300006.729 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.729 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300006.729 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300006.730 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554300006.730 * * [misc]simplify: Extracting #4: cost 26 inf + 465 1554300006.731 * * [misc]simplify: Extracting #5: cost 11 inf + 4133 1554300006.733 * * [misc]simplify: Extracting #6: cost 1 inf + 7923 1554300006.735 * * [misc]simplify: Extracting #7: cost 0 inf + 8588 1554300006.738 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))) 1554300006.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))) 1554300006.738 * * * * [misc]progress: [ 459 / 621 ] simplifiying candidate # 1554300006.738 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow PI 0))) 1554300006.738 * * [misc]simplify: iters left: 5 (9 enodes) 1554300006.743 * * [misc]simplify: iters left: 4 (26 enodes) 1554300006.750 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.750 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300006.750 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300006.750 * * [misc]simplify: Extracting #3: cost 2 inf + 125 1554300006.750 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300006.750 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300006.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300006.751 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300006.751 * * [misc]simplify: iters left: 6 (15 enodes) 1554300006.755 * * [misc]simplify: iters left: 5 (55 enodes) 1554300006.763 * * [misc]simplify: iters left: 4 (72 enodes) 1554300006.776 * * [misc]simplify: iters left: 3 (90 enodes) 1554300006.789 * * [misc]simplify: iters left: 2 (98 enodes) 1554300006.812 * * [misc]simplify: iters left: 1 (109 enodes) 1554300006.842 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.842 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300006.842 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300006.843 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554300006.843 * * [misc]simplify: Extracting #4: cost 26 inf + 465 1554300006.844 * * [misc]simplify: Extracting #5: cost 11 inf + 4133 1554300006.846 * * [misc]simplify: Extracting #6: cost 1 inf + 7923 1554300006.848 * * [misc]simplify: Extracting #7: cost 0 inf + 8588 1554300006.851 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))) 1554300006.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))) 1554300006.851 * * * * [misc]progress: [ 460 / 621 ] simplifiying candidate # 1554300006.852 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300006.852 * * [misc]simplify: iters left: 6 (12 enodes) 1554300006.859 * * [misc]simplify: iters left: 5 (42 enodes) 1554300006.872 * * [misc]simplify: iters left: 4 (48 enodes) 1554300006.886 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300006.886 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300006.886 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300006.886 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554300006.886 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554300006.886 * * [misc]simplify: Extracting #5: cost 19 inf + 3 1554300006.886 * * [misc]simplify: Extracting #6: cost 16 inf + 169 1554300006.887 * * [misc]simplify: Extracting #7: cost 7 inf + 2201 1554300006.887 * * [misc]simplify: Extracting #8: cost 2 inf + 4709 1554300006.889 * * [misc]simplify: Extracting #9: cost 0 inf + 5696 1554300006.890 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554300006.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300006.890 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300006.891 * * [misc]simplify: iters left: 6 (19 enodes) 1554300006.900 * * [misc]simplify: iters left: 5 (68 enodes) 1554300006.922 * * [misc]simplify: iters left: 4 (83 enodes) 1554300006.945 * * [misc]simplify: iters left: 3 (99 enodes) 1554300006.972 * * [misc]simplify: iters left: 2 (107 enodes) 1554300006.999 * * [misc]simplify: iters left: 1 (119 enodes) 1554300007.016 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.016 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300007.016 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300007.016 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300007.016 * * [misc]simplify: Extracting #4: cost 34 inf + 251 1554300007.017 * * [misc]simplify: Extracting #5: cost 29 inf + 460 1554300007.017 * * [misc]simplify: Extracting #6: cost 15 inf + 3331 1554300007.018 * * [misc]simplify: Extracting #7: cost 9 inf + 5933 1554300007.019 * * [misc]simplify: Extracting #8: cost 3 inf + 10219 1554300007.021 * * [misc]simplify: Extracting #9: cost 0 inf + 12402 1554300007.023 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300007.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300007.024 * * * * [misc]progress: [ 461 / 621 ] simplifiying candidate # 1554300007.024 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300007.024 * * [misc]simplify: iters left: 6 (11 enodes) 1554300007.027 * * [misc]simplify: iters left: 5 (37 enodes) 1554300007.034 * * [misc]simplify: iters left: 4 (41 enodes) 1554300007.040 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.040 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300007.040 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300007.040 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554300007.040 * * [misc]simplify: Extracting #4: cost 13 inf + 1 1554300007.040 * * [misc]simplify: Extracting #5: cost 15 inf + 3 1554300007.040 * * [misc]simplify: Extracting #6: cost 13 inf + 128 1554300007.041 * * [misc]simplify: Extracting #7: cost 7 inf + 709 1554300007.041 * * [misc]simplify: Extracting #8: cost 3 inf + 2161 1554300007.041 * * [misc]simplify: Extracting #9: cost 0 inf + 3482 1554300007.041 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554300007.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300007.042 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300007.042 * * [misc]simplify: iters left: 6 (19 enodes) 1554300007.047 * * [misc]simplify: iters left: 5 (68 enodes) 1554300007.057 * * [misc]simplify: iters left: 4 (83 enodes) 1554300007.081 * * [misc]simplify: iters left: 3 (99 enodes) 1554300007.096 * * [misc]simplify: iters left: 2 (107 enodes) 1554300007.111 * * [misc]simplify: iters left: 1 (119 enodes) 1554300007.138 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.138 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300007.138 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300007.138 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300007.139 * * [misc]simplify: Extracting #4: cost 34 inf + 251 1554300007.139 * * [misc]simplify: Extracting #5: cost 29 inf + 460 1554300007.140 * * [misc]simplify: Extracting #6: cost 15 inf + 3331 1554300007.141 * * [misc]simplify: Extracting #7: cost 9 inf + 5813 1554300007.142 * * [misc]simplify: Extracting #8: cost 3 inf + 9859 1554300007.144 * * [misc]simplify: Extracting #9: cost 0 inf + 11922 1554300007.146 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300007.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300007.146 * * * * [misc]progress: [ 462 / 621 ] simplifiying candidate # 1554300007.146 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300007.146 * * [misc]simplify: iters left: 6 (14 enodes) 1554300007.149 * * [misc]simplify: iters left: 5 (54 enodes) 1554300007.158 * * [misc]simplify: iters left: 4 (87 enodes) 1554300007.174 * * [misc]simplify: iters left: 3 (122 enodes) 1554300007.216 * * [misc]simplify: iters left: 2 (176 enodes) 1554300007.266 * * [misc]simplify: iters left: 1 (200 enodes) 1554300007.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.307 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300007.307 * * [misc]simplify: Extracting #2: cost 30 inf + 1 1554300007.307 * * [misc]simplify: Extracting #3: cost 35 inf + 1 1554300007.307 * * [misc]simplify: Extracting #4: cost 37 inf + 3 1554300007.308 * * [misc]simplify: Extracting #5: cost 25 inf + 1635 1554300007.310 * * [misc]simplify: Extracting #6: cost 9 inf + 7997 1554300007.314 * * [misc]simplify: Extracting #7: cost 0 inf + 12914 1554300007.319 * * [misc]simplify: Extracting #8: cost 0 inf + 12874 1554300007.323 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) 1554300007.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300007.324 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300007.324 * * [misc]simplify: iters left: 6 (20 enodes) 1554300007.334 * * [misc]simplify: iters left: 5 (73 enodes) 1554300007.358 * * [misc]simplify: iters left: 4 (98 enodes) 1554300007.388 * * [misc]simplify: iters left: 3 (151 enodes) 1554300007.440 * * [misc]simplify: iters left: 2 (216 enodes) 1554300007.492 * * [misc]simplify: iters left: 1 (313 enodes) 1554300007.617 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.618 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300007.618 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300007.619 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300007.620 * * [misc]simplify: Extracting #4: cost 64 inf + 1061 1554300007.621 * * [misc]simplify: Extracting #5: cost 47 inf + 5230 1554300007.624 * * [misc]simplify: Extracting #6: cost 7 inf + 27944 1554300007.630 * * [misc]simplify: Extracting #7: cost 0 inf + 32395 1554300007.636 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300007.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300007.636 * * * * [misc]progress: [ 463 / 621 ] simplifiying candidate # 1554300007.636 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554300007.636 * * [misc]simplify: iters left: 6 (13 enodes) 1554300007.639 * * [misc]simplify: iters left: 5 (47 enodes) 1554300007.646 * * [misc]simplify: iters left: 4 (63 enodes) 1554300007.665 * * [misc]simplify: iters left: 3 (78 enodes) 1554300007.677 * * [misc]simplify: iters left: 2 (103 enodes) 1554300007.692 * * [misc]simplify: iters left: 1 (108 enodes) 1554300007.721 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.721 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554300007.721 * * [misc]simplify: Extracting #2: cost 20 inf + 1 1554300007.721 * * [misc]simplify: Extracting #3: cost 25 inf + 1 1554300007.721 * * [misc]simplify: Extracting #4: cost 27 inf + 3 1554300007.722 * * [misc]simplify: Extracting #5: cost 19 inf + 947 1554300007.723 * * [misc]simplify: Extracting #6: cost 2 inf + 6038 1554300007.725 * * [misc]simplify: Extracting #7: cost 0 inf + 7064 1554300007.727 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554300007.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300007.728 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300007.728 * * [misc]simplify: iters left: 6 (20 enodes) 1554300007.733 * * [misc]simplify: iters left: 5 (73 enodes) 1554300007.744 * * [misc]simplify: iters left: 4 (98 enodes) 1554300007.761 * * [misc]simplify: iters left: 3 (151 enodes) 1554300007.812 * * [misc]simplify: iters left: 2 (216 enodes) 1554300007.893 * * [misc]simplify: iters left: 1 (313 enodes) 1554300007.981 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300007.981 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300007.982 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300007.982 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300007.983 * * [misc]simplify: Extracting #4: cost 64 inf + 1061 1554300007.985 * * [misc]simplify: Extracting #5: cost 47 inf + 5110 1554300007.991 * * [misc]simplify: Extracting #6: cost 7 inf + 26944 1554300008.003 * * [misc]simplify: Extracting #7: cost 0 inf + 31115 1554300008.015 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300008.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300008.015 * * * * [misc]progress: [ 464 / 621 ] simplifiying candidate # 1554300008.016 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554300008.016 * * [misc]simplify: iters left: 6 (7 enodes) 1554300008.020 * * [misc]simplify: iters left: 5 (25 enodes) 1554300008.029 * * [misc]simplify: iters left: 4 (38 enodes) 1554300008.040 * * [misc]simplify: iters left: 3 (41 enodes) 1554300008.050 * * [misc]simplify: iters left: 2 (42 enodes) 1554300008.062 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300008.062 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300008.063 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300008.063 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554300008.063 * * [misc]simplify: Extracting #4: cost 10 inf + 2 1554300008.063 * * [misc]simplify: Extracting #5: cost 2 inf + 1093 1554300008.064 * * [misc]simplify: Extracting #6: cost 0 inf + 1376 1554300008.064 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554300008.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300008.065 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300008.065 * * [misc]simplify: iters left: 6 (19 enodes) 1554300008.074 * * [misc]simplify: iters left: 5 (70 enodes) 1554300008.095 * * [misc]simplify: iters left: 4 (95 enodes) 1554300008.125 * * [misc]simplify: iters left: 3 (148 enodes) 1554300008.161 * * [misc]simplify: iters left: 2 (213 enodes) 1554300008.205 * * [misc]simplify: iters left: 1 (312 enodes) 1554300008.318 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300008.318 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300008.319 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300008.319 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300008.319 * * [misc]simplify: Extracting #4: cost 64 inf + 778 1554300008.320 * * [misc]simplify: Extracting #5: cost 51 inf + 2668 1554300008.323 * * [misc]simplify: Extracting #6: cost 11 inf + 22588 1554300008.328 * * [misc]simplify: Extracting #7: cost 0 inf + 28837 1554300008.334 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554300008.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554300008.334 * * * * [misc]progress: [ 465 / 621 ] simplifiying candidate # 1554300008.334 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300008.335 * * [misc]simplify: iters left: 6 (13 enodes) 1554300008.340 * * [misc]simplify: iters left: 5 (47 enodes) 1554300008.347 * * [misc]simplify: iters left: 4 (62 enodes) 1554300008.356 * * [misc]simplify: iters left: 3 (72 enodes) 1554300008.369 * * [misc]simplify: iters left: 2 (87 enodes) 1554300008.396 * * [misc]simplify: iters left: 1 (96 enodes) 1554300008.421 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300008.421 * * [misc]simplify: Extracting #1: cost 10 inf + 0 1554300008.422 * * [misc]simplify: Extracting #2: cost 18 inf + 1 1554300008.422 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554300008.422 * * [misc]simplify: Extracting #4: cost 25 inf + 3 1554300008.422 * * [misc]simplify: Extracting #5: cost 21 inf + 289 1554300008.423 * * [misc]simplify: Extracting #6: cost 11 inf + 1981 1554300008.424 * * [misc]simplify: Extracting #7: cost 2 inf + 6058 1554300008.426 * * [misc]simplify: Extracting #8: cost 0 inf + 7084 1554300008.428 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300008.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300008.428 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300008.429 * * [misc]simplify: iters left: 6 (20 enodes) 1554300008.439 * * [misc]simplify: iters left: 5 (73 enodes) 1554300008.461 * * [misc]simplify: iters left: 4 (98 enodes) 1554300008.495 * * [misc]simplify: iters left: 3 (151 enodes) 1554300008.539 * * [misc]simplify: iters left: 2 (216 enodes) 1554300008.599 * * [misc]simplify: iters left: 1 (313 enodes) 1554300008.729 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300008.730 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300008.730 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300008.731 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300008.732 * * [misc]simplify: Extracting #4: cost 64 inf + 901 1554300008.733 * * [misc]simplify: Extracting #5: cost 47 inf + 4870 1554300008.740 * * [misc]simplify: Extracting #6: cost 7 inf + 26744 1554300008.746 * * [misc]simplify: Extracting #7: cost 0 inf + 31115 1554300008.752 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300008.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300008.752 * * * * [misc]progress: [ 466 / 621 ] simplifiying candidate # 1554300008.752 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300008.752 * * [misc]simplify: iters left: 6 (12 enodes) 1554300008.755 * * [misc]simplify: iters left: 5 (42 enodes) 1554300008.761 * * [misc]simplify: iters left: 4 (51 enodes) 1554300008.769 * * [misc]simplify: iters left: 3 (53 enodes) 1554300008.788 * * [misc]simplify: iters left: 2 (65 enodes) 1554300008.807 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300008.808 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300008.808 * * [misc]simplify: Extracting #2: cost 12 inf + 1 1554300008.808 * * [misc]simplify: Extracting #3: cost 17 inf + 1 1554300008.808 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1554300008.808 * * [misc]simplify: Extracting #5: cost 13 inf + 453 1554300008.808 * * [misc]simplify: Extracting #6: cost 6 inf + 1619 1554300008.809 * * [misc]simplify: Extracting #7: cost 1 inf + 3433 1554300008.810 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 1554300008.811 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1554300008.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300008.812 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300008.812 * * [misc]simplify: iters left: 6 (20 enodes) 1554300008.822 * * [misc]simplify: iters left: 5 (73 enodes) 1554300008.843 * * [misc]simplify: iters left: 4 (98 enodes) 1554300008.873 * * [misc]simplify: iters left: 3 (151 enodes) 1554300008.916 * * [misc]simplify: iters left: 2 (216 enodes) 1554300008.962 * * [misc]simplify: iters left: 1 (313 enodes) 1554300009.087 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300009.088 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300009.088 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300009.088 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300009.089 * * [misc]simplify: Extracting #4: cost 64 inf + 901 1554300009.091 * * [misc]simplify: Extracting #5: cost 47 inf + 4750 1554300009.095 * * [misc]simplify: Extracting #6: cost 7 inf + 25744 1554300009.101 * * [misc]simplify: Extracting #7: cost 0 inf + 29835 1554300009.106 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300009.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1554300009.107 * * * * [misc]progress: [ 467 / 621 ] simplifiying candidate # 1554300009.107 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1554300009.107 * * [misc]simplify: iters left: 6 (6 enodes) 1554300009.109 * * [misc]simplify: iters left: 5 (20 enodes) 1554300009.113 * * [misc]simplify: iters left: 4 (24 enodes) 1554300009.116 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300009.116 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300009.116 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300009.116 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554300009.116 * * [misc]simplify: Extracting #4: cost 6 inf + 2 1554300009.116 * * [misc]simplify: Extracting #5: cost 0 inf + 490 1554300009.116 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1554300009.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300009.117 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300009.117 * * [misc]simplify: iters left: 6 (19 enodes) 1554300009.122 * * [misc]simplify: iters left: 5 (70 enodes) 1554300009.132 * * [misc]simplify: iters left: 4 (95 enodes) 1554300009.150 * * [misc]simplify: iters left: 3 (148 enodes) 1554300009.188 * * [misc]simplify: iters left: 2 (213 enodes) 1554300009.249 * * [misc]simplify: iters left: 1 (312 enodes) 1554300009.346 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300009.346 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300009.347 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300009.348 * * [misc]simplify: Extracting #3: cost 74 inf + 3 1554300009.348 * * [misc]simplify: Extracting #4: cost 64 inf + 658 1554300009.350 * * [misc]simplify: Extracting #5: cost 51 inf + 2388 1554300009.355 * * [misc]simplify: Extracting #6: cost 11 inf + 21548 1554300009.367 * * [misc]simplify: Extracting #7: cost 0 inf + 27557 1554300009.378 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))) 1554300009.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (pow PI (- (/ k 2)))))) 1554300009.378 * * * * [misc]progress: [ 468 / 621 ] simplifiying candidate # 1554300009.378 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300009.378 * * [misc]simplify: iters left: 6 (11 enodes) 1554300009.385 * * [misc]simplify: iters left: 5 (39 enodes) 1554300009.396 * * [misc]simplify: iters left: 4 (48 enodes) 1554300009.410 * * [misc]simplify: iters left: 3 (60 enodes) 1554300009.425 * * [misc]simplify: iters left: 2 (74 enodes) 1554300009.436 * * [misc]simplify: iters left: 1 (76 enodes) 1554300009.444 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300009.444 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300009.444 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300009.444 * * [misc]simplify: Extracting #3: cost 12 inf + 1 1554300009.444 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300009.444 * * [misc]simplify: Extracting #5: cost 17 inf + 3 1554300009.444 * * [misc]simplify: Extracting #6: cost 12 inf + 211 1554300009.445 * * [misc]simplify: Extracting #7: cost 6 inf + 1707 1554300009.445 * * [misc]simplify: Extracting #8: cost 1 inf + 3774 1554300009.445 * * [misc]simplify: Extracting #9: cost 0 inf + 4228 1554300009.446 * [exit]simplify: Simplified to (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) 1554300009.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554300009.446 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554300009.446 * * [misc]simplify: iters left: 6 (19 enodes) 1554300009.453 * * [misc]simplify: iters left: 5 (70 enodes) 1554300009.471 * * [misc]simplify: iters left: 4 (95 enodes) 1554300009.485 * * [misc]simplify: iters left: 3 (148 enodes) 1554300009.526 * * [misc]simplify: iters left: 2 (213 enodes) 1554300009.595 * * [misc]simplify: iters left: 1 (312 enodes) 1554300009.696 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300009.697 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300009.697 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300009.698 * * [misc]simplify: Extracting #3: cost 70 inf + 45 1554300009.699 * * [misc]simplify: Extracting #4: cost 62 inf + 822 1554300009.700 * * [misc]simplify: Extracting #5: cost 52 inf + 2441 1554300009.707 * * [misc]simplify: Extracting #6: cost 12 inf + 22317 1554300009.718 * * [misc]simplify: Extracting #7: cost 0 inf + 29341 1554300009.729 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (cbrt (pow PI (- (/ k 2))))) 1554300009.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (cbrt (pow PI (- (/ k 2))))))) 1554300009.729 * * * * [misc]progress: [ 469 / 621 ] simplifiying candidate # 1554300009.730 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554300009.730 * * [misc]simplify: iters left: 6 (10 enodes) 1554300009.735 * * [misc]simplify: iters left: 5 (34 enodes) 1554300009.745 * * [misc]simplify: iters left: 4 (39 enodes) 1554300009.751 * * [misc]simplify: iters left: 3 (43 enodes) 1554300010.153 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300010.153 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300010.154 * * [misc]simplify: Extracting #2: cost 8 inf + 1 1554300010.154 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300010.154 * * [misc]simplify: Extracting #4: cost 13 inf + 3 1554300010.154 * * [misc]simplify: Extracting #5: cost 6 inf + 334 1554300010.154 * * [misc]simplify: Extracting #6: cost 2 inf + 1586 1554300010.155 * * [misc]simplify: Extracting #7: cost 0 inf + 2334 1554300010.155 * [exit]simplify: Simplified to (sqrt (pow PI (- (/ k 2)))) 1554300010.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554300010.156 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554300010.156 * * [misc]simplify: iters left: 6 (19 enodes) 1554300010.166 * * [misc]simplify: iters left: 5 (70 enodes) 1554300010.180 * * [misc]simplify: iters left: 4 (95 enodes) 1554300010.195 * * [misc]simplify: iters left: 3 (148 enodes) 1554300010.235 * * [misc]simplify: iters left: 2 (213 enodes) 1554300010.318 * * [misc]simplify: iters left: 1 (312 enodes) 1554300010.435 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300010.435 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300010.435 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300010.435 * * [misc]simplify: Extracting #3: cost 70 inf + 45 1554300010.436 * * [misc]simplify: Extracting #4: cost 62 inf + 822 1554300010.437 * * [misc]simplify: Extracting #5: cost 52 inf + 2441 1554300010.440 * * [misc]simplify: Extracting #6: cost 12 inf + 21397 1554300010.445 * * [misc]simplify: Extracting #7: cost 0 inf + 28061 1554300010.452 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (sqrt (pow PI (- (/ k 2))))) 1554300010.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (sqrt (pow PI (- (/ k 2))))))) 1554300010.453 * * * * [misc]progress: [ 470 / 621 ] simplifiying candidate # 1554300010.453 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1554300010.453 * * [misc]simplify: iters left: 4 (3 enodes) 1554300010.454 * * [misc]simplify: iters left: 3 (7 enodes) 1554300010.456 * * [misc]simplify: iters left: 2 (9 enodes) 1554300010.457 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300010.457 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300010.457 * [exit]simplify: Simplified to 1 1554300010.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300010.457 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300010.457 * * [misc]simplify: iters left: 6 (18 enodes) 1554300010.462 * * [misc]simplify: iters left: 5 (67 enodes) 1554300010.475 * * [misc]simplify: iters left: 4 (92 enodes) 1554300010.505 * * [misc]simplify: iters left: 3 (145 enodes) 1554300010.557 * * [misc]simplify: iters left: 2 (210 enodes) 1554300010.630 * * [misc]simplify: iters left: 1 (309 enodes) 1554300010.717 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300010.717 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300010.717 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300010.718 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554300010.718 * * [misc]simplify: Extracting #4: cost 63 inf + 578 1554300010.719 * * [misc]simplify: Extracting #5: cost 42 inf + 6176 1554300010.723 * * [misc]simplify: Extracting #6: cost 4 inf + 24622 1554300010.728 * * [misc]simplify: Extracting #7: cost 0 inf + 26607 1554300010.733 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))) 1554300010.733 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1554300010.733 * * * * [misc]progress: [ 471 / 621 ] simplifiying candidate # 1554300010.734 * [enter]simplify: Simplifying (/ 1 1) 1554300010.734 * * [misc]simplify: iters left: 2 (2 enodes) 1554300010.735 * * [misc]simplify: iters left: 1 (6 enodes) 1554300010.736 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300010.736 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300010.736 * [exit]simplify: Simplified to 1 1554300010.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300010.736 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300010.736 * * [misc]simplify: iters left: 6 (18 enodes) 1554300010.746 * * [misc]simplify: iters left: 5 (67 enodes) 1554300010.769 * * [misc]simplify: iters left: 4 (92 enodes) 1554300010.793 * * [misc]simplify: iters left: 3 (145 enodes) 1554300010.817 * * [misc]simplify: iters left: 2 (210 enodes) 1554300010.870 * * [misc]simplify: iters left: 1 (309 enodes) 1554300010.991 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300010.991 * * [misc]simplify: Extracting #1: cost 30 inf + 0 1554300010.992 * * [misc]simplify: Extracting #2: cost 67 inf + 1 1554300010.992 * * [misc]simplify: Extracting #3: cost 69 inf + 86 1554300010.993 * * [misc]simplify: Extracting #4: cost 63 inf + 578 1554300010.995 * * [misc]simplify: Extracting #5: cost 42 inf + 6176 1554300011.003 * * [misc]simplify: Extracting #6: cost 4 inf + 24622 1554300011.013 * * [misc]simplify: Extracting #7: cost 0 inf + 26607 1554300011.023 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))) 1554300011.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- (/ k 2)))))) 1554300011.024 * * * * [misc]progress: [ 472 / 621 ] simplifiying candidate # 1554300011.024 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1554300011.024 * * [misc]simplify: iters left: 3 (4 enodes) 1554300011.027 * * [misc]simplify: iters left: 2 (14 enodes) 1554300011.031 * * [misc]simplify: iters left: 1 (16 enodes) 1554300011.036 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.036 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300011.036 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300011.036 * * [misc]simplify: Extracting #3: cost 3 inf + 43 1554300011.036 * * [misc]simplify: Extracting #4: cost 1 inf + 166 1554300011.036 * * [misc]simplify: Extracting #5: cost 0 inf + 248 1554300011.036 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300011.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554300011.037 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554300011.037 * * [misc]simplify: iters left: 6 (17 enodes) 1554300011.046 * * [misc]simplify: iters left: 5 (64 enodes) 1554300011.069 * * [misc]simplify: iters left: 4 (80 enodes) 1554300011.092 * * [misc]simplify: iters left: 3 (98 enodes) 1554300011.122 * * [misc]simplify: iters left: 2 (121 enodes) 1554300011.142 * * [misc]simplify: iters left: 1 (135 enodes) 1554300011.165 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.165 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554300011.165 * * [misc]simplify: Extracting #2: cost 29 inf + 1 1554300011.166 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300011.166 * * [misc]simplify: Extracting #4: cost 31 inf + 251 1554300011.166 * * [misc]simplify: Extracting #5: cost 26 inf + 460 1554300011.170 * * [misc]simplify: Extracting #6: cost 5 inf + 7529 1554300011.173 * * [misc]simplify: Extracting #7: cost 0 inf + 9480 1554300011.176 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))) 1554300011.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))))) 1554300011.176 * * * * [misc]progress: [ 473 / 621 ] simplifiying candidate # 1554300011.176 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) 1)) 1554300011.176 * * [misc]simplify: iters left: 5 (5 enodes) 1554300011.179 * * [misc]simplify: iters left: 4 (17 enodes) 1554300011.183 * * [misc]simplify: iters left: 3 (21 enodes) 1554300011.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.186 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300011.186 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300011.186 * * [misc]simplify: Extracting #3: cost 0 inf + 248 1554300011.186 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300011.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300011.186 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300011.187 * * [misc]simplify: iters left: 6 (15 enodes) 1554300011.190 * * [misc]simplify: iters left: 5 (55 enodes) 1554300011.199 * * [misc]simplify: iters left: 4 (72 enodes) 1554300011.209 * * [misc]simplify: iters left: 3 (90 enodes) 1554300011.222 * * [misc]simplify: iters left: 2 (98 enodes) 1554300011.244 * * [misc]simplify: iters left: 1 (109 enodes) 1554300011.272 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.272 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300011.273 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300011.273 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554300011.273 * * [misc]simplify: Extracting #4: cost 26 inf + 465 1554300011.276 * * [misc]simplify: Extracting #5: cost 11 inf + 4133 1554300011.278 * * [misc]simplify: Extracting #6: cost 1 inf + 7923 1554300011.281 * * [misc]simplify: Extracting #7: cost 0 inf + 8588 1554300011.283 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))) 1554300011.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))) 1554300011.283 * * * * [misc]progress: [ 474 / 621 ] simplifiying candidate # 1554300011.283 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow PI 0))) 1554300011.284 * * [misc]simplify: iters left: 5 (8 enodes) 1554300011.288 * * [misc]simplify: iters left: 4 (25 enodes) 1554300011.295 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.296 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300011.296 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300011.296 * * [misc]simplify: Extracting #3: cost 2 inf + 125 1554300011.296 * * [misc]simplify: Extracting #4: cost 0 inf + 248 1554300011.296 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1554300011.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300011.296 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300011.297 * * [misc]simplify: iters left: 6 (15 enodes) 1554300011.304 * * [misc]simplify: iters left: 5 (55 enodes) 1554300011.322 * * [misc]simplify: iters left: 4 (72 enodes) 1554300011.344 * * [misc]simplify: iters left: 3 (90 enodes) 1554300011.357 * * [misc]simplify: iters left: 2 (98 enodes) 1554300011.370 * * [misc]simplify: iters left: 1 (109 enodes) 1554300011.396 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.396 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300011.396 * * [misc]simplify: Extracting #2: cost 26 inf + 1 1554300011.396 * * [misc]simplify: Extracting #3: cost 32 inf + 3 1554300011.397 * * [misc]simplify: Extracting #4: cost 26 inf + 465 1554300011.398 * * [misc]simplify: Extracting #5: cost 11 inf + 4133 1554300011.402 * * [misc]simplify: Extracting #6: cost 1 inf + 7923 1554300011.404 * * [misc]simplify: Extracting #7: cost 0 inf + 8588 1554300011.406 * [exit]simplify: Simplified to (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))) 1554300011.407 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt PI) (/ (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ k 2)))))) 1554300011.407 * * * * [misc]progress: [ 475 / 621 ] simplifiying candidate # 1554300011.407 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300011.407 * * [misc]simplify: iters left: 6 (16 enodes) 1554300011.415 * * [misc]simplify: iters left: 5 (54 enodes) 1554300011.432 * * [misc]simplify: iters left: 4 (59 enodes) 1554300011.443 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.443 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300011.443 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300011.443 * * [misc]simplify: Extracting #3: cost 23 inf + 0 1554300011.443 * * [misc]simplify: Extracting #4: cost 27 inf + 3 1554300011.443 * * [misc]simplify: Extracting #5: cost 20 inf + 255 1554300011.443 * * [misc]simplify: Extracting #6: cost 7 inf + 3200 1554300011.444 * * [misc]simplify: Extracting #7: cost 1 inf + 7074 1554300011.445 * * [misc]simplify: Extracting #8: cost 0 inf + 7939 1554300011.445 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554300011.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2))))) (/ (/ 1 (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300011.446 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300011.446 * * [misc]simplify: iters left: 6 (15 enodes) 1554300011.450 * * [misc]simplify: iters left: 5 (52 enodes) 1554300011.458 * * [misc]simplify: iters left: 4 (64 enodes) 1554300011.468 * * [misc]simplify: iters left: 3 (79 enodes) 1554300011.480 * * [misc]simplify: iters left: 2 (85 enodes) 1554300011.493 * * [misc]simplify: iters left: 1 (97 enodes) 1554300011.511 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.511 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554300011.511 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554300011.511 * * [misc]simplify: Extracting #3: cost 16 inf + 44 1554300011.512 * * [misc]simplify: Extracting #4: cost 16 inf + 371 1554300011.512 * * [misc]simplify: Extracting #5: cost 17 inf + 454 1554300011.512 * * [misc]simplify: Extracting #6: cost 16 inf + 538 1554300011.512 * * [misc]simplify: Extracting #7: cost 8 inf + 2197 1554300011.513 * * [misc]simplify: Extracting #8: cost 2 inf + 5116 1554300011.514 * * [misc]simplify: Extracting #9: cost 0 inf + 6143 1554300011.515 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300011.515 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300011.515 * * * * [misc]progress: [ 476 / 621 ] simplifiying candidate # 1554300011.515 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300011.515 * * [misc]simplify: iters left: 6 (15 enodes) 1554300011.519 * * [misc]simplify: iters left: 5 (49 enodes) 1554300011.527 * * [misc]simplify: iters left: 4 (52 enodes) 1554300011.535 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.535 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300011.535 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300011.535 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554300011.535 * * [misc]simplify: Extracting #4: cost 23 inf + 3 1554300011.535 * * [misc]simplify: Extracting #5: cost 17 inf + 213 1554300011.535 * * [misc]simplify: Extracting #6: cost 4 inf + 3039 1554300011.536 * * [misc]simplify: Extracting #7: cost 0 inf + 4983 1554300011.536 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300011.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300011.536 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300011.537 * * [misc]simplify: iters left: 6 (15 enodes) 1554300011.544 * * [misc]simplify: iters left: 5 (52 enodes) 1554300011.560 * * [misc]simplify: iters left: 4 (64 enodes) 1554300011.579 * * [misc]simplify: iters left: 3 (79 enodes) 1554300011.601 * * [misc]simplify: iters left: 2 (85 enodes) 1554300011.628 * * [misc]simplify: iters left: 1 (97 enodes) 1554300011.659 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.659 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554300011.659 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554300011.659 * * [misc]simplify: Extracting #3: cost 16 inf + 44 1554300011.660 * * [misc]simplify: Extracting #4: cost 16 inf + 371 1554300011.660 * * [misc]simplify: Extracting #5: cost 17 inf + 454 1554300011.660 * * [misc]simplify: Extracting #6: cost 16 inf + 538 1554300011.661 * * [misc]simplify: Extracting #7: cost 8 inf + 2157 1554300011.662 * * [misc]simplify: Extracting #8: cost 2 inf + 4876 1554300011.664 * * [misc]simplify: Extracting #9: cost 0 inf + 5823 1554300011.666 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300011.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300011.667 * * * * [misc]progress: [ 477 / 621 ] simplifiying candidate # 1554300011.667 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300011.667 * * [misc]simplify: iters left: 6 (18 enodes) 1554300011.676 * * [misc]simplify: iters left: 5 (66 enodes) 1554300011.698 * * [misc]simplify: iters left: 4 (98 enodes) 1554300011.713 * * [misc]simplify: iters left: 3 (137 enodes) 1554300011.736 * * [misc]simplify: iters left: 2 (174 enodes) 1554300011.786 * * [misc]simplify: iters left: 1 (201 enodes) 1554300011.842 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300011.843 * * [misc]simplify: Extracting #1: cost 29 inf + 0 1554300011.843 * * [misc]simplify: Extracting #2: cost 55 inf + 0 1554300011.843 * * [misc]simplify: Extracting #3: cost 66 inf + 0 1554300011.844 * * [misc]simplify: Extracting #4: cost 61 inf + 208 1554300011.844 * * [misc]simplify: Extracting #5: cost 50 inf + 1894 1554300011.847 * * [misc]simplify: Extracting #6: cost 26 inf + 14570 1554300011.855 * * [misc]simplify: Extracting #7: cost 2 inf + 30616 1554300011.864 * * [misc]simplify: Extracting #8: cost 0 inf + 32346 1554300011.872 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow (* n 2) (- 1/2 (/ k 2)))) 1554300011.872 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300011.872 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300011.873 * * [misc]simplify: iters left: 6 (16 enodes) 1554300011.881 * * [misc]simplify: iters left: 5 (57 enodes) 1554300011.899 * * [misc]simplify: iters left: 4 (79 enodes) 1554300011.924 * * [misc]simplify: iters left: 3 (120 enodes) 1554300011.963 * * [misc]simplify: iters left: 2 (169 enodes) 1554300012.013 * * [misc]simplify: iters left: 1 (260 enodes) 1554300012.087 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300012.087 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300012.088 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300012.088 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300012.088 * * [misc]simplify: Extracting #4: cost 33 inf + 250 1554300012.088 * * [misc]simplify: Extracting #5: cost 30 inf + 495 1554300012.089 * * [misc]simplify: Extracting #6: cost 18 inf + 2579 1554300012.090 * * [misc]simplify: Extracting #7: cost 5 inf + 8088 1554300012.092 * * [misc]simplify: Extracting #8: cost 0 inf + 10675 1554300012.094 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow PI (/ (- k) 2)))) 1554300012.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (sqrt k)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow PI (/ (- k) 2)))))) 1554300012.094 * * * * [misc]progress: [ 478 / 621 ] simplifiying candidate # 1554300012.094 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554300012.095 * * [misc]simplify: iters left: 6 (17 enodes) 1554300012.099 * * [misc]simplify: iters left: 5 (59 enodes) 1554300012.109 * * [misc]simplify: iters left: 4 (74 enodes) 1554300012.129 * * [misc]simplify: iters left: 3 (93 enodes) 1554300012.154 * * [misc]simplify: iters left: 2 (99 enodes) 1554300012.166 * * [misc]simplify: iters left: 1 (107 enodes) 1554300012.181 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300012.181 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300012.181 * * [misc]simplify: Extracting #2: cost 33 inf + 0 1554300012.181 * * [misc]simplify: Extracting #3: cost 44 inf + 0 1554300012.181 * * [misc]simplify: Extracting #4: cost 40 inf + 88 1554300012.182 * * [misc]simplify: Extracting #5: cost 27 inf + 2582 1554300012.184 * * [misc]simplify: Extracting #6: cost 6 inf + 12092 1554300012.188 * * [misc]simplify: Extracting #7: cost 0 inf + 15545 1554300012.192 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))) 1554300012.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300012.192 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300012.192 * * [misc]simplify: iters left: 6 (16 enodes) 1554300012.201 * * [misc]simplify: iters left: 5 (57 enodes) 1554300012.218 * * [misc]simplify: iters left: 4 (79 enodes) 1554300012.242 * * [misc]simplify: iters left: 3 (120 enodes) 1554300012.272 * * [misc]simplify: iters left: 2 (169 enodes) 1554300012.332 * * [misc]simplify: iters left: 1 (260 enodes) 1554300012.423 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300012.423 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300012.423 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300012.424 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300012.424 * * [misc]simplify: Extracting #4: cost 33 inf + 250 1554300012.424 * * [misc]simplify: Extracting #5: cost 30 inf + 495 1554300012.424 * * [misc]simplify: Extracting #6: cost 18 inf + 2539 1554300012.426 * * [misc]simplify: Extracting #7: cost 5 inf + 7648 1554300012.429 * * [misc]simplify: Extracting #8: cost 0 inf + 10035 1554300012.431 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (sqrt (pow PI (/ (- k) 2)))) 1554300012.431 * [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 (- (/ k 2))))))) (* (/ (sqrt PI) (cbrt (sqrt k))) (sqrt (pow PI (/ (- k) 2)))))) 1554300012.431 * * * * [misc]progress: [ 479 / 621 ] simplifiying candidate # 1554300012.432 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554300012.432 * * [misc]simplify: iters left: 6 (14 enodes) 1554300012.436 * * [misc]simplify: iters left: 5 (49 enodes) 1554300012.450 * * [misc]simplify: iters left: 4 (69 enodes) 1554300012.466 * * [misc]simplify: iters left: 3 (82 enodes) 1554300012.477 * * [misc]simplify: iters left: 2 (89 enodes) 1554300012.489 * * [misc]simplify: iters left: 1 (102 enodes) 1554300012.512 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300012.512 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300012.512 * * [misc]simplify: Extracting #2: cost 22 inf + 1 1554300012.512 * * [misc]simplify: Extracting #3: cost 31 inf + 1 1554300012.513 * * [misc]simplify: Extracting #4: cost 26 inf + 250 1554300012.513 * * [misc]simplify: Extracting #5: cost 9 inf + 4529 1554300012.514 * * [misc]simplify: Extracting #6: cost 0 inf + 6941 1554300012.515 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) 1554300012.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300012.516 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300012.516 * * [misc]simplify: iters left: 6 (15 enodes) 1554300012.520 * * [misc]simplify: iters left: 5 (54 enodes) 1554300012.530 * * [misc]simplify: iters left: 4 (76 enodes) 1554300012.553 * * [misc]simplify: iters left: 3 (117 enodes) 1554300012.575 * * [misc]simplify: iters left: 2 (166 enodes) 1554300012.634 * * [misc]simplify: iters left: 1 (257 enodes) 1554300012.728 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300012.729 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300012.729 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300012.729 * * [misc]simplify: Extracting #3: cost 36 inf + 3 1554300012.729 * * [misc]simplify: Extracting #4: cost 26 inf + 979 1554300012.730 * * [misc]simplify: Extracting #5: cost 13 inf + 3820 1554300012.732 * * [misc]simplify: Extracting #6: cost 1 inf + 8356 1554300012.734 * * [misc]simplify: Extracting #7: cost 0 inf + 8809 1554300012.736 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (sqrt PI)) 1554300012.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (sqrt PI)))) 1554300012.736 * * * * [misc]progress: [ 480 / 621 ] simplifiying candidate # 1554300012.737 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300012.737 * * [misc]simplify: iters left: 6 (17 enodes) 1554300012.741 * * [misc]simplify: iters left: 5 (59 enodes) 1554300012.750 * * [misc]simplify: iters left: 4 (73 enodes) 1554300012.760 * * [misc]simplify: iters left: 3 (85 enodes) 1554300012.772 * * [misc]simplify: iters left: 2 (93 enodes) 1554300012.786 * * [misc]simplify: iters left: 1 (99 enodes) 1554300012.799 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300012.799 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554300012.799 * * [misc]simplify: Extracting #2: cost 30 inf + 0 1554300012.799 * * [misc]simplify: Extracting #3: cost 41 inf + 0 1554300012.799 * * [misc]simplify: Extracting #4: cost 36 inf + 169 1554300012.800 * * [misc]simplify: Extracting #5: cost 24 inf + 2282 1554300012.801 * * [misc]simplify: Extracting #6: cost 17 inf + 4272 1554300012.803 * * [misc]simplify: Extracting #7: cost 6 inf + 11155 1554300012.806 * * [misc]simplify: Extracting #8: cost 0 inf + 15453 1554300012.810 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300012.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300012.811 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300012.811 * * [misc]simplify: iters left: 6 (16 enodes) 1554300012.819 * * [misc]simplify: iters left: 5 (57 enodes) 1554300012.836 * * [misc]simplify: iters left: 4 (79 enodes) 1554300012.862 * * [misc]simplify: iters left: 3 (120 enodes) 1554300012.903 * * [misc]simplify: iters left: 2 (169 enodes) 1554300012.952 * * [misc]simplify: iters left: 1 (260 enodes) 1554300013.072 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300013.072 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300013.073 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300013.073 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300013.073 * * [misc]simplify: Extracting #4: cost 33 inf + 250 1554300013.074 * * [misc]simplify: Extracting #5: cost 30 inf + 455 1554300013.075 * * [misc]simplify: Extracting #6: cost 18 inf + 2259 1554300013.077 * * [misc]simplify: Extracting #7: cost 5 inf + 7528 1554300013.082 * * [misc]simplify: Extracting #8: cost 0 inf + 10035 1554300013.086 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow PI (/ (- k) 2)))) 1554300013.086 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow PI (/ (- k) 2)))))) 1554300013.087 * * * * [misc]progress: [ 481 / 621 ] simplifiying candidate # 1554300013.087 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300013.087 * * [misc]simplify: iters left: 6 (16 enodes) 1554300013.095 * * [misc]simplify: iters left: 5 (54 enodes) 1554300013.111 * * [misc]simplify: iters left: 4 (62 enodes) 1554300013.131 * * [misc]simplify: iters left: 3 (66 enodes) 1554300013.143 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300013.143 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300013.143 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300013.143 * * [misc]simplify: Extracting #3: cost 29 inf + 0 1554300013.143 * * [misc]simplify: Extracting #4: cost 23 inf + 250 1554300013.143 * * [misc]simplify: Extracting #5: cost 10 inf + 2415 1554300013.144 * * [misc]simplify: Extracting #6: cost 2 inf + 6013 1554300013.145 * * [misc]simplify: Extracting #7: cost 0 inf + 7463 1554300013.145 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) 1554300013.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300013.146 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300013.146 * * [misc]simplify: iters left: 6 (16 enodes) 1554300013.150 * * [misc]simplify: iters left: 5 (57 enodes) 1554300013.158 * * [misc]simplify: iters left: 4 (79 enodes) 1554300013.176 * * [misc]simplify: iters left: 3 (120 enodes) 1554300013.217 * * [misc]simplify: iters left: 2 (169 enodes) 1554300013.278 * * [misc]simplify: iters left: 1 (260 enodes) 1554300013.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300013.363 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300013.364 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300013.364 * * [misc]simplify: Extracting #3: cost 34 inf + 3 1554300013.365 * * [misc]simplify: Extracting #4: cost 33 inf + 250 1554300013.365 * * [misc]simplify: Extracting #5: cost 30 inf + 455 1554300013.366 * * [misc]simplify: Extracting #6: cost 18 inf + 2219 1554300013.369 * * [misc]simplify: Extracting #7: cost 5 inf + 7088 1554300013.373 * * [misc]simplify: Extracting #8: cost 0 inf + 9395 1554300013.378 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow PI (/ (- k) 2)))) 1554300013.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow PI (/ (- k) 2)))))) 1554300013.378 * * * * [misc]progress: [ 482 / 621 ] simplifiying candidate # 1554300013.379 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) 1554300013.379 * * [misc]simplify: iters left: 6 (13 enodes) 1554300013.385 * * [misc]simplify: iters left: 5 (44 enodes) 1554300013.392 * * [misc]simplify: iters left: 4 (53 enodes) 1554300013.400 * * [misc]simplify: iters left: 3 (58 enodes) 1554300013.409 * * [misc]simplify: iters left: 2 (59 enodes) 1554300013.418 * * [misc]simplify: iters left: 1 (61 enodes) 1554300013.434 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300013.434 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300013.434 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300013.434 * * [misc]simplify: Extracting #3: cost 20 inf + 1 1554300013.434 * * [misc]simplify: Extracting #4: cost 15 inf + 210 1554300013.435 * * [misc]simplify: Extracting #5: cost 3 inf + 2856 1554300013.436 * * [misc]simplify: Extracting #6: cost 0 inf + 3313 1554300013.437 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554300013.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300013.437 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300013.437 * * [misc]simplify: iters left: 6 (15 enodes) 1554300013.445 * * [misc]simplify: iters left: 5 (54 enodes) 1554300013.461 * * [misc]simplify: iters left: 4 (76 enodes) 1554300013.476 * * [misc]simplify: iters left: 3 (117 enodes) 1554300013.496 * * [misc]simplify: iters left: 2 (166 enodes) 1554300013.544 * * [misc]simplify: iters left: 1 (257 enodes) 1554300013.679 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300013.679 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300013.680 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300013.680 * * [misc]simplify: Extracting #3: cost 36 inf + 3 1554300013.681 * * [misc]simplify: Extracting #4: cost 26 inf + 819 1554300013.682 * * [misc]simplify: Extracting #5: cost 13 inf + 3460 1554300013.686 * * [misc]simplify: Extracting #6: cost 1 inf + 7756 1554300013.689 * * [misc]simplify: Extracting #7: cost 0 inf + 8169 1554300013.694 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (sqrt PI)) 1554300013.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (sqrt PI)))) 1554300013.694 * * * * [misc]progress: [ 483 / 621 ] simplifiying candidate # 1554300013.694 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300013.695 * * [misc]simplify: iters left: 6 (16 enodes) 1554300013.703 * * [misc]simplify: iters left: 5 (58 enodes) 1554300013.720 * * [misc]simplify: iters left: 4 (70 enodes) 1554300013.744 * * [misc]simplify: iters left: 3 (85 enodes) 1554300013.768 * * [misc]simplify: iters left: 2 (94 enodes) 1554300013.794 * * [misc]simplify: iters left: 1 (117 enodes) 1554300013.813 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300013.813 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554300013.813 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554300013.813 * * [misc]simplify: Extracting #3: cost 30 inf + 1 1554300013.813 * * [misc]simplify: Extracting #4: cost 30 inf + 5 1554300013.813 * * [misc]simplify: Extracting #5: cost 26 inf + 174 1554300013.814 * * [misc]simplify: Extracting #6: cost 12 inf + 3787 1554300013.815 * * [misc]simplify: Extracting #7: cost 2 inf + 9091 1554300013.816 * * [misc]simplify: Extracting #8: cost 0 inf + 10290 1554300013.817 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) 1554300013.817 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554300013.818 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554300013.818 * * [misc]simplify: iters left: 6 (15 enodes) 1554300013.822 * * [misc]simplify: iters left: 5 (54 enodes) 1554300013.831 * * [misc]simplify: iters left: 4 (76 enodes) 1554300013.855 * * [misc]simplify: iters left: 3 (117 enodes) 1554300013.876 * * [misc]simplify: iters left: 2 (166 enodes) 1554300013.919 * * [misc]simplify: iters left: 1 (257 enodes) 1554300014.036 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.036 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300014.036 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300014.036 * * [misc]simplify: Extracting #3: cost 29 inf + 127 1554300014.037 * * [misc]simplify: Extracting #4: cost 25 inf + 740 1554300014.038 * * [misc]simplify: Extracting #5: cost 22 inf + 1068 1554300014.039 * * [misc]simplify: Extracting #6: cost 13 inf + 3461 1554300014.043 * * [misc]simplify: Extracting #7: cost 1 inf + 8860 1554300014.047 * * [misc]simplify: Extracting #8: cost 0 inf + 9313 1554300014.051 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- (/ k 2)))) (sqrt k)) (sqrt PI)) 1554300014.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2)))))) (* (/ (cbrt (pow PI (- (/ k 2)))) (sqrt k)) (sqrt PI)))) 1554300014.051 * * * * [misc]progress: [ 484 / 621 ] simplifiying candidate # 1554300014.051 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554300014.052 * * [misc]simplify: iters left: 6 (15 enodes) 1554300014.058 * * [misc]simplify: iters left: 5 (53 enodes) 1554300014.067 * * [misc]simplify: iters left: 4 (59 enodes) 1554300014.076 * * [misc]simplify: iters left: 3 (66 enodes) 1554300014.085 * * [misc]simplify: iters left: 2 (67 enodes) 1554300014.099 * * [misc]simplify: iters left: 1 (69 enodes) 1554300014.117 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.117 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300014.117 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300014.117 * * [misc]simplify: Extracting #3: cost 22 inf + 1 1554300014.117 * * [misc]simplify: Extracting #4: cost 22 inf + 5 1554300014.117 * * [misc]simplify: Extracting #5: cost 19 inf + 132 1554300014.118 * * [misc]simplify: Extracting #6: cost 6 inf + 2839 1554300014.118 * * [misc]simplify: Extracting #7: cost 1 inf + 4959 1554300014.119 * * [misc]simplify: Extracting #8: cost 0 inf + 5334 1554300014.119 * [exit]simplify: Simplified to (* (sqrt (pow PI (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) 1554300014.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554300014.120 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554300014.120 * * [misc]simplify: iters left: 6 (15 enodes) 1554300014.124 * * [misc]simplify: iters left: 5 (54 enodes) 1554300014.134 * * [misc]simplify: iters left: 4 (76 enodes) 1554300014.147 * * [misc]simplify: iters left: 3 (117 enodes) 1554300014.181 * * [misc]simplify: iters left: 2 (166 enodes) 1554300014.261 * * [misc]simplify: iters left: 1 (257 enodes) 1554300014.369 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.369 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300014.369 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300014.370 * * [misc]simplify: Extracting #3: cost 29 inf + 127 1554300014.370 * * [misc]simplify: Extracting #4: cost 25 inf + 740 1554300014.370 * * [misc]simplify: Extracting #5: cost 22 inf + 1068 1554300014.371 * * [misc]simplify: Extracting #6: cost 13 inf + 3301 1554300014.373 * * [misc]simplify: Extracting #7: cost 1 inf + 8260 1554300014.375 * * [misc]simplify: Extracting #8: cost 0 inf + 8673 1554300014.376 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt k)) (sqrt PI)) 1554300014.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow PI (- (/ k 2)))) (sqrt k)) (sqrt PI)))) 1554300014.377 * * * * [misc]progress: [ 485 / 621 ] simplifiying candidate # 1554300014.377 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) 1554300014.377 * * [misc]simplify: iters left: 6 (11 enodes) 1554300014.383 * * [misc]simplify: iters left: 5 (36 enodes) 1554300014.394 * * [misc]simplify: iters left: 4 (43 enodes) 1554300014.407 * * [misc]simplify: iters left: 3 (47 enodes) 1554300014.414 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.414 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300014.414 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300014.414 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554300014.414 * * [misc]simplify: Extracting #4: cost 8 inf + 212 1554300014.414 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554300014.415 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300014.415 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300014.415 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300014.415 * * [misc]simplify: iters left: 6 (14 enodes) 1554300014.419 * * [misc]simplify: iters left: 5 (51 enodes) 1554300014.427 * * [misc]simplify: iters left: 4 (73 enodes) 1554300014.440 * * [misc]simplify: iters left: 3 (114 enodes) 1554300014.483 * * [misc]simplify: iters left: 2 (163 enodes) 1554300014.558 * * [misc]simplify: iters left: 1 (254 enodes) 1554300014.649 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.649 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300014.649 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300014.649 * * [misc]simplify: Extracting #3: cost 31 inf + 86 1554300014.649 * * [misc]simplify: Extracting #4: cost 24 inf + 700 1554300014.650 * * [misc]simplify: Extracting #5: cost 9 inf + 4178 1554300014.652 * * [misc]simplify: Extracting #6: cost 0 inf + 7447 1554300014.653 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300014.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300014.653 * * * * [misc]progress: [ 486 / 621 ] simplifiying candidate # 1554300014.654 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1554300014.654 * * [misc]simplify: iters left: 6 (10 enodes) 1554300014.657 * * [misc]simplify: iters left: 5 (33 enodes) 1554300014.662 * * [misc]simplify: iters left: 4 (40 enodes) 1554300014.668 * * [misc]simplify: iters left: 3 (42 enodes) 1554300014.674 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.674 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300014.674 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300014.674 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554300014.674 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554300014.674 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554300014.674 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300014.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300014.675 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300014.675 * * [misc]simplify: iters left: 6 (14 enodes) 1554300014.680 * * [misc]simplify: iters left: 5 (51 enodes) 1554300014.694 * * [misc]simplify: iters left: 4 (73 enodes) 1554300014.716 * * [misc]simplify: iters left: 3 (114 enodes) 1554300014.749 * * [misc]simplify: iters left: 2 (163 enodes) 1554300014.794 * * [misc]simplify: iters left: 1 (254 enodes) 1554300014.925 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.925 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300014.925 * * [misc]simplify: Extracting #2: cost 32 inf + 1 1554300014.925 * * [misc]simplify: Extracting #3: cost 31 inf + 86 1554300014.925 * * [misc]simplify: Extracting #4: cost 24 inf + 700 1554300014.926 * * [misc]simplify: Extracting #5: cost 9 inf + 4178 1554300014.928 * * [misc]simplify: Extracting #6: cost 0 inf + 7447 1554300014.929 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300014.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300014.929 * * * * [misc]progress: [ 487 / 621 ] simplifiying candidate # 1554300014.930 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300014.930 * * [misc]simplify: iters left: 6 (10 enodes) 1554300014.932 * * [misc]simplify: iters left: 5 (33 enodes) 1554300014.938 * * [misc]simplify: iters left: 4 (38 enodes) 1554300014.943 * * [misc]simplify: iters left: 3 (40 enodes) 1554300014.950 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300014.951 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300014.951 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300014.951 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554300014.951 * * [misc]simplify: Extracting #4: cost 12 inf + 128 1554300014.951 * * [misc]simplify: Extracting #5: cost 1 inf + 2121 1554300014.951 * * [misc]simplify: Extracting #6: cost 0 inf + 2162 1554300014.952 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300014.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (/ 1 (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))))) 1554300014.952 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (/ 1 (pow PI (- (/ k 2))))) 1554300014.952 * * [misc]simplify: iters left: 6 (13 enodes) 1554300014.956 * * [misc]simplify: iters left: 5 (48 enodes) 1554300014.971 * * [misc]simplify: iters left: 4 (64 enodes) 1554300014.992 * * [misc]simplify: iters left: 3 (82 enodes) 1554300015.020 * * [misc]simplify: iters left: 2 (96 enodes) 1554300015.051 * * [misc]simplify: iters left: 1 (97 enodes) 1554300015.071 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.071 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300015.071 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554300015.071 * * [misc]simplify: Extracting #3: cost 16 inf + 44 1554300015.072 * * [misc]simplify: Extracting #4: cost 15 inf + 250 1554300015.072 * * [misc]simplify: Extracting #5: cost 14 inf + 251 1554300015.072 * * [misc]simplify: Extracting #6: cost 10 inf + 458 1554300015.073 * * [misc]simplify: Extracting #7: cost 4 inf + 1995 1554300015.074 * * [misc]simplify: Extracting #8: cost 0 inf + 3409 1554300015.075 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (sqrt PI)) 1554300015.075 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (* (pow PI (/ (- k) 2)) (sqrt PI)))) 1554300015.076 * * * * [misc]progress: [ 488 / 621 ] simplifiying candidate # 1554300015.076 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) 1)) 1554300015.076 * * [misc]simplify: iters left: 6 (12 enodes) 1554300015.082 * * [misc]simplify: iters left: 5 (41 enodes) 1554300015.090 * * [misc]simplify: iters left: 4 (50 enodes) 1554300015.098 * * [misc]simplify: iters left: 3 (55 enodes) 1554300015.106 * * [misc]simplify: iters left: 2 (56 enodes) 1554300015.113 * * [misc]simplify: iters left: 1 (58 enodes) 1554300015.122 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.122 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300015.122 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300015.122 * * [misc]simplify: Extracting #3: cost 17 inf + 2 1554300015.122 * * [misc]simplify: Extracting #4: cost 15 inf + 88 1554300015.122 * * [misc]simplify: Extracting #5: cost 3 inf + 2122 1554300015.123 * * [misc]simplify: Extracting #6: cost 0 inf + 2991 1554300015.123 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300015.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (/ 1 (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300015.124 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300015.124 * * [misc]simplify: iters left: 6 (11 enodes) 1554300015.127 * * [misc]simplify: iters left: 5 (38 enodes) 1554300015.133 * * [misc]simplify: iters left: 4 (48 enodes) 1554300015.141 * * [misc]simplify: iters left: 3 (63 enodes) 1554300015.151 * * [misc]simplify: iters left: 2 (69 enodes) 1554300015.162 * * [misc]simplify: iters left: 1 (81 enodes) 1554300015.191 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.191 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554300015.191 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554300015.191 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1554300015.191 * * [misc]simplify: Extracting #4: cost 8 inf + 457 1554300015.192 * * [misc]simplify: Extracting #5: cost 7 inf + 710 1554300015.192 * * [misc]simplify: Extracting #6: cost 1 inf + 2550 1554300015.193 * * [misc]simplify: Extracting #7: cost 0 inf + 2883 1554300015.193 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1554300015.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (sqrt PI) (pow PI (/ k 2))))) 1554300015.193 * * * * [misc]progress: [ 489 / 621 ] simplifiying candidate # 1554300015.194 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI 0))) 1554300015.194 * * [misc]simplify: iters left: 6 (14 enodes) 1554300015.198 * * [misc]simplify: iters left: 5 (46 enodes) 1554300015.206 * * [misc]simplify: iters left: 4 (52 enodes) 1554300015.214 * * [misc]simplify: iters left: 3 (59 enodes) 1554300015.229 * * [misc]simplify: iters left: 2 (62 enodes) 1554300015.244 * * [misc]simplify: iters left: 1 (64 enodes) 1554300015.260 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.260 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300015.260 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300015.260 * * [misc]simplify: Extracting #3: cost 14 inf + 43 1554300015.261 * * [misc]simplify: Extracting #4: cost 12 inf + 129 1554300015.261 * * [misc]simplify: Extracting #5: cost 3 inf + 1374 1554300015.262 * * [misc]simplify: Extracting #6: cost 0 inf + 2163 1554300015.262 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300015.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (/ 1 (/ 1 (pow PI 1/2))) (pow PI (/ k 2))))) 1554300015.263 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI 1/2))) (pow PI (/ k 2))) 1554300015.263 * * [misc]simplify: iters left: 6 (11 enodes) 1554300015.269 * * [misc]simplify: iters left: 5 (38 enodes) 1554300015.281 * * [misc]simplify: iters left: 4 (48 enodes) 1554300015.293 * * [misc]simplify: iters left: 3 (63 enodes) 1554300015.305 * * [misc]simplify: iters left: 2 (69 enodes) 1554300015.315 * * [misc]simplify: iters left: 1 (81 enodes) 1554300015.330 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.330 * * [misc]simplify: Extracting #1: cost 9 inf + 0 1554300015.330 * * [misc]simplify: Extracting #2: cost 16 inf + 1 1554300015.330 * * [misc]simplify: Extracting #3: cost 15 inf + 85 1554300015.330 * * [misc]simplify: Extracting #4: cost 8 inf + 457 1554300015.330 * * [misc]simplify: Extracting #5: cost 7 inf + 710 1554300015.331 * * [misc]simplify: Extracting #6: cost 1 inf + 2550 1554300015.331 * * [misc]simplify: Extracting #7: cost 0 inf + 2883 1554300015.332 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1554300015.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (sqrt PI) (pow PI (/ k 2))))) 1554300015.332 * * * * [misc]progress: [ 490 / 621 ] simplifiying candidate # 1554300015.332 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300015.332 * * [misc]simplify: iters left: 6 (18 enodes) 1554300015.337 * * [misc]simplify: iters left: 5 (62 enodes) 1554300015.347 * * [misc]simplify: iters left: 4 (73 enodes) 1554300015.359 * * [misc]simplify: iters left: 3 (78 enodes) 1554300015.370 * * [misc]simplify: iters left: 2 (79 enodes) 1554300015.381 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.382 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300015.382 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300015.382 * * [misc]simplify: Extracting #3: cost 23 inf + 1 1554300015.382 * * [misc]simplify: Extracting #4: cost 27 inf + 4 1554300015.382 * * [misc]simplify: Extracting #5: cost 23 inf + 132 1554300015.382 * * [misc]simplify: Extracting #6: cost 13 inf + 1254 1554300015.382 * * [misc]simplify: Extracting #7: cost 5 inf + 4107 1554300015.383 * * [misc]simplify: Extracting #8: cost 1 inf + 6955 1554300015.384 * * [misc]simplify: Extracting #9: cost 0 inf + 7780 1554300015.385 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (pow PI 1/2) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300015.385 * [enter]simplify: Simplifying (/ (pow PI 1/2) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.385 * * [misc]simplify: iters left: 6 (12 enodes) 1554300015.388 * * [misc]simplify: iters left: 5 (39 enodes) 1554300015.394 * * [misc]simplify: iters left: 4 (41 enodes) 1554300015.399 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.399 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300015.399 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300015.399 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554300015.399 * * [misc]simplify: Extracting #4: cost 13 inf + 43 1554300015.399 * * [misc]simplify: Extracting #5: cost 15 inf + 85 1554300015.399 * * [misc]simplify: Extracting #6: cost 13 inf + 209 1554300015.400 * * [misc]simplify: Extracting #7: cost 9 inf + 416 1554300015.400 * * [misc]simplify: Extracting #8: cost 5 inf + 1457 1554300015.400 * * [misc]simplify: Extracting #9: cost 1 inf + 3269 1554300015.400 * * [misc]simplify: Extracting #10: cost 0 inf + 3802 1554300015.401 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300015.401 * * * * [misc]progress: [ 491 / 621 ] simplifiying candidate # 1554300015.401 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.402 * * [misc]simplify: iters left: 6 (17 enodes) 1554300015.409 * * [misc]simplify: iters left: 5 (57 enodes) 1554300015.424 * * [misc]simplify: iters left: 4 (64 enodes) 1554300015.440 * * [misc]simplify: iters left: 3 (67 enodes) 1554300015.456 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.456 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300015.456 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300015.456 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554300015.457 * * [misc]simplify: Extracting #4: cost 23 inf + 4 1554300015.457 * * [misc]simplify: Extracting #5: cost 19 inf + 132 1554300015.457 * * [misc]simplify: Extracting #6: cost 9 inf + 1213 1554300015.458 * * [misc]simplify: Extracting #7: cost 3 inf + 3453 1554300015.459 * * [misc]simplify: Extracting #8: cost 0 inf + 4984 1554300015.460 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300015.460 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.460 * * [misc]simplify: iters left: 6 (12 enodes) 1554300015.466 * * [misc]simplify: iters left: 5 (39 enodes) 1554300015.476 * * [misc]simplify: iters left: 4 (41 enodes) 1554300015.486 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.486 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300015.486 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300015.486 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554300015.486 * * [misc]simplify: Extracting #4: cost 13 inf + 43 1554300015.486 * * [misc]simplify: Extracting #5: cost 15 inf + 85 1554300015.487 * * [misc]simplify: Extracting #6: cost 13 inf + 209 1554300015.487 * * [misc]simplify: Extracting #7: cost 9 inf + 416 1554300015.487 * * [misc]simplify: Extracting #8: cost 5 inf + 1457 1554300015.488 * * [misc]simplify: Extracting #9: cost 1 inf + 3149 1554300015.488 * * [misc]simplify: Extracting #10: cost 0 inf + 3642 1554300015.489 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300015.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))))) 1554300015.489 * * * * [misc]progress: [ 492 / 621 ] simplifiying candidate # 1554300015.489 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300015.489 * * [misc]simplify: iters left: 6 (20 enodes) 1554300015.495 * * [misc]simplify: iters left: 5 (74 enodes) 1554300015.509 * * [misc]simplify: iters left: 4 (118 enodes) 1554300015.540 * * [misc]simplify: iters left: 3 (194 enodes) 1554300015.624 * * [misc]simplify: iters left: 2 (317 enodes) 1554300015.758 * * [misc]simplify: iters left: 1 (467 enodes) 1554300015.998 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300015.998 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554300015.998 * * [misc]simplify: Extracting #2: cost 65 inf + 1 1554300015.999 * * [misc]simplify: Extracting #3: cost 76 inf + 1 1554300016.000 * * [misc]simplify: Extracting #4: cost 74 inf + 6 1554300016.001 * * [misc]simplify: Extracting #5: cost 53 inf + 4961 1554300016.008 * * [misc]simplify: Extracting #6: cost 16 inf + 25870 1554300016.022 * * [misc]simplify: Extracting #7: cost 0 inf + 37354 1554300016.036 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) 1554300016.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300016.036 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300016.037 * * [misc]simplify: iters left: 6 (13 enodes) 1554300016.040 * * [misc]simplify: iters left: 5 (44 enodes) 1554300016.047 * * [misc]simplify: iters left: 4 (51 enodes) 1554300016.054 * * [misc]simplify: iters left: 3 (55 enodes) 1554300016.062 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.062 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300016.062 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300016.062 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1554300016.062 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1554300016.063 * * [misc]simplify: Extracting #5: cost 14 inf + 829 1554300016.063 * * [misc]simplify: Extracting #6: cost 3 inf + 4486 1554300016.065 * * [misc]simplify: Extracting #7: cost 0 inf + 5674 1554300016.066 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))) 1554300016.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))))) 1554300016.066 * * * * [misc]progress: [ 493 / 621 ] simplifiying candidate # 1554300016.067 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) 1554300016.067 * * [misc]simplify: iters left: 6 (19 enodes) 1554300016.076 * * [misc]simplify: iters left: 5 (67 enodes) 1554300016.096 * * [misc]simplify: iters left: 4 (90 enodes) 1554300016.125 * * [misc]simplify: iters left: 3 (130 enodes) 1554300016.170 * * [misc]simplify: iters left: 2 (174 enodes) 1554300016.226 * * [misc]simplify: iters left: 1 (219 enodes) 1554300016.300 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.300 * * [misc]simplify: Extracting #1: cost 19 inf + 0 1554300016.300 * * [misc]simplify: Extracting #2: cost 38 inf + 1 1554300016.301 * * [misc]simplify: Extracting #3: cost 49 inf + 1 1554300016.301 * * [misc]simplify: Extracting #4: cost 47 inf + 6 1554300016.302 * * [misc]simplify: Extracting #5: cost 34 inf + 1611 1554300016.305 * * [misc]simplify: Extracting #6: cost 4 inf + 15799 1554300016.311 * * [misc]simplify: Extracting #7: cost 1 inf + 17201 1554300016.317 * * [misc]simplify: Extracting #8: cost 0 inf + 17576 1554300016.323 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300016.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300016.323 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300016.323 * * [misc]simplify: iters left: 6 (13 enodes) 1554300016.330 * * [misc]simplify: iters left: 5 (44 enodes) 1554300016.338 * * [misc]simplify: iters left: 4 (51 enodes) 1554300016.345 * * [misc]simplify: iters left: 3 (55 enodes) 1554300016.353 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.353 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300016.353 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300016.353 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1554300016.353 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1554300016.353 * * [misc]simplify: Extracting #5: cost 14 inf + 829 1554300016.354 * * [misc]simplify: Extracting #6: cost 3 inf + 4246 1554300016.354 * * [misc]simplify: Extracting #7: cost 0 inf + 5354 1554300016.355 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- k) 2))))) 1554300016.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- k) 2))))))) 1554300016.355 * * * * [misc]progress: [ 494 / 621 ] simplifiying candidate # 1554300016.355 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1554300016.355 * * [misc]simplify: iters left: 6 (15 enodes) 1554300016.359 * * [misc]simplify: iters left: 5 (52 enodes) 1554300016.369 * * [misc]simplify: iters left: 4 (77 enodes) 1554300016.383 * * [misc]simplify: iters left: 3 (106 enodes) 1554300016.421 * * [misc]simplify: iters left: 2 (130 enodes) 1554300016.451 * * [misc]simplify: iters left: 1 (152 enodes) 1554300016.479 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.479 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300016.479 * * [misc]simplify: Extracting #2: cost 23 inf + 1 1554300016.479 * * [misc]simplify: Extracting #3: cost 32 inf + 1 1554300016.480 * * [misc]simplify: Extracting #4: cost 30 inf + 47 1554300016.480 * * [misc]simplify: Extracting #5: cost 16 inf + 1737 1554300016.482 * * [misc]simplify: Extracting #6: cost 2 inf + 6620 1554300016.485 * * [misc]simplify: Extracting #7: cost 0 inf + 7489 1554300016.489 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1554300016.489 * [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) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))))) 1554300016.489 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (cbrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300016.489 * * [misc]simplify: iters left: 6 (12 enodes) 1554300016.495 * * [misc]simplify: iters left: 5 (41 enodes) 1554300016.509 * * [misc]simplify: iters left: 4 (48 enodes) 1554300016.523 * * [misc]simplify: iters left: 3 (52 enodes) 1554300016.537 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.537 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300016.538 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300016.538 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554300016.538 * * [misc]simplify: Extracting #4: cost 14 inf + 706 1554300016.539 * * [misc]simplify: Extracting #5: cost 1 inf + 3915 1554300016.540 * * [misc]simplify: Extracting #6: cost 0 inf + 4448 1554300016.541 * [exit]simplify: Simplified to (/ (* (sqrt PI) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) 1554300016.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (sqrt PI) (pow PI (- (/ k 2)))) (cbrt (sqrt k))))) 1554300016.541 * * * * [misc]progress: [ 495 / 621 ] simplifiying candidate # 1554300016.541 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300016.541 * * [misc]simplify: iters left: 6 (19 enodes) 1554300016.551 * * [misc]simplify: iters left: 5 (67 enodes) 1554300016.571 * * [misc]simplify: iters left: 4 (89 enodes) 1554300016.587 * * [misc]simplify: iters left: 3 (123 enodes) 1554300016.623 * * [misc]simplify: iters left: 2 (175 enodes) 1554300016.675 * * [misc]simplify: iters left: 1 (239 enodes) 1554300016.741 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.741 * * [misc]simplify: Extracting #1: cost 21 inf + 0 1554300016.741 * * [misc]simplify: Extracting #2: cost 43 inf + 1 1554300016.742 * * [misc]simplify: Extracting #3: cost 54 inf + 1 1554300016.742 * * [misc]simplify: Extracting #4: cost 52 inf + 6 1554300016.743 * * [misc]simplify: Extracting #5: cost 39 inf + 2156 1554300016.747 * * [misc]simplify: Extracting #6: cost 5 inf + 19124 1554300016.755 * * [misc]simplify: Extracting #7: cost 0 inf + 22270 1554300016.762 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1554300016.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))))) 1554300016.763 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2)))))) 1554300016.763 * * [misc]simplify: iters left: 6 (13 enodes) 1554300016.769 * * [misc]simplify: iters left: 5 (44 enodes) 1554300016.783 * * [misc]simplify: iters left: 4 (51 enodes) 1554300016.798 * * [misc]simplify: iters left: 3 (55 enodes) 1554300016.813 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.813 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300016.813 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300016.813 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1554300016.813 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1554300016.813 * * [misc]simplify: Extracting #5: cost 14 inf + 789 1554300016.814 * * [misc]simplify: Extracting #6: cost 3 inf + 4246 1554300016.815 * * [misc]simplify: Extracting #7: cost 0 inf + 5354 1554300016.816 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))) 1554300016.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow PI (/ (- k) 2))))))) 1554300016.817 * * * * [misc]progress: [ 496 / 621 ] simplifiying candidate # 1554300016.817 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300016.817 * * [misc]simplify: iters left: 6 (18 enodes) 1554300016.826 * * [misc]simplify: iters left: 5 (62 enodes) 1554300016.845 * * [misc]simplify: iters left: 4 (76 enodes) 1554300016.869 * * [misc]simplify: iters left: 3 (94 enodes) 1554300016.889 * * [misc]simplify: iters left: 2 (110 enodes) 1554300016.905 * * [misc]simplify: iters left: 1 (129 enodes) 1554300016.933 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.933 * * [misc]simplify: Extracting #1: cost 14 inf + 0 1554300016.933 * * [misc]simplify: Extracting #2: cost 27 inf + 1 1554300016.933 * * [misc]simplify: Extracting #3: cost 38 inf + 1 1554300016.933 * * [misc]simplify: Extracting #4: cost 35 inf + 48 1554300016.934 * * [misc]simplify: Extracting #5: cost 22 inf + 1416 1554300016.934 * * [misc]simplify: Extracting #6: cost 9 inf + 6807 1554300016.936 * * [misc]simplify: Extracting #7: cost 1 inf + 10817 1554300016.937 * * [misc]simplify: Extracting #8: cost 0 inf + 11270 1554300016.939 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) 1554300016.939 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))))) 1554300016.940 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) 1554300016.940 * * [misc]simplify: iters left: 6 (13 enodes) 1554300016.943 * * [misc]simplify: iters left: 5 (44 enodes) 1554300016.949 * * [misc]simplify: iters left: 4 (51 enodes) 1554300016.960 * * [misc]simplify: iters left: 3 (55 enodes) 1554300016.975 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300016.975 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300016.975 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300016.976 * * [misc]simplify: Extracting #3: cost 20 inf + 2 1554300016.976 * * [misc]simplify: Extracting #4: cost 21 inf + 85 1554300016.976 * * [misc]simplify: Extracting #5: cost 14 inf + 789 1554300016.977 * * [misc]simplify: Extracting #6: cost 3 inf + 4006 1554300016.981 * * [misc]simplify: Extracting #7: cost 0 inf + 5034 1554300016.982 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- k) 2))))) 1554300016.983 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow PI (- (/ k 2))))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- k) 2))))))) 1554300016.983 * * * * [misc]progress: [ 497 / 621 ] simplifiying candidate # 1554300016.983 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) 1)) 1554300016.983 * * [misc]simplify: iters left: 6 (14 enodes) 1554300016.991 * * [misc]simplify: iters left: 5 (47 enodes) 1554300017.006 * * [misc]simplify: iters left: 4 (58 enodes) 1554300017.025 * * [misc]simplify: iters left: 3 (73 enodes) 1554300017.044 * * [misc]simplify: iters left: 2 (84 enodes) 1554300017.055 * * [misc]simplify: iters left: 1 (94 enodes) 1554300017.068 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.069 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.069 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554300017.069 * * [misc]simplify: Extracting #3: cost 24 inf + 1 1554300017.069 * * [misc]simplify: Extracting #4: cost 22 inf + 47 1554300017.069 * * [misc]simplify: Extracting #5: cost 8 inf + 1698 1554300017.070 * * [misc]simplify: Extracting #6: cost 1 inf + 3853 1554300017.071 * * [misc]simplify: Extracting #7: cost 0 inf + 4307 1554300017.072 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1554300017.072 * [misc]simplify: Simplified (2 1) 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))))))) 1554300017.072 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1554300017.072 * * [misc]simplify: iters left: 6 (12 enodes) 1554300017.075 * * [misc]simplify: iters left: 5 (41 enodes) 1554300017.084 * * [misc]simplify: iters left: 4 (48 enodes) 1554300017.098 * * [misc]simplify: iters left: 3 (52 enodes) 1554300017.114 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.114 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.114 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300017.114 * * [misc]simplify: Extracting #3: cost 22 inf + 2 1554300017.114 * * [misc]simplify: Extracting #4: cost 14 inf + 666 1554300017.115 * * [misc]simplify: Extracting #5: cost 1 inf + 3635 1554300017.116 * * [misc]simplify: Extracting #6: cost 0 inf + 4128 1554300017.117 * [exit]simplify: Simplified to (/ (* (sqrt PI) (pow PI (- (/ k 2)))) (sqrt (sqrt k))) 1554300017.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (* (sqrt PI) (pow PI (- (/ k 2)))) (sqrt (sqrt k))))) 1554300017.117 * * * * [misc]progress: [ 498 / 621 ] simplifiying candidate # 1554300017.118 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) 1554300017.118 * * [misc]simplify: iters left: 6 (17 enodes) 1554300017.127 * * [misc]simplify: iters left: 5 (60 enodes) 1554300017.147 * * [misc]simplify: iters left: 4 (78 enodes) 1554300017.171 * * [misc]simplify: iters left: 3 (91 enodes) 1554300017.196 * * [misc]simplify: iters left: 2 (100 enodes) 1554300017.222 * * [misc]simplify: iters left: 1 (117 enodes) 1554300017.251 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.252 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554300017.252 * * [misc]simplify: Extracting #2: cost 21 inf + 1 1554300017.252 * * [misc]simplify: Extracting #3: cost 30 inf + 1 1554300017.252 * * [misc]simplify: Extracting #4: cost 30 inf + 5 1554300017.252 * * [misc]simplify: Extracting #5: cost 26 inf + 174 1554300017.252 * * [misc]simplify: Extracting #6: cost 18 inf + 1504 1554300017.253 * * [misc]simplify: Extracting #7: cost 3 inf + 8426 1554300017.254 * * [misc]simplify: Extracting #8: cost 0 inf + 10290 1554300017.256 * [exit]simplify: Simplified to (* (cbrt (pow PI (- (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- (/ k 2)))))) 1554300017.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- (/ k 2)))))) (/ (pow PI 1/2) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))))) 1554300017.256 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (cbrt (pow PI (- (/ k 2)))))) 1554300017.256 * * [misc]simplify: iters left: 6 (12 enodes) 1554300017.259 * * [misc]simplify: iters left: 5 (41 enodes) 1554300017.266 * * [misc]simplify: iters left: 4 (48 enodes) 1554300017.276 * * [misc]simplify: iters left: 3 (52 enodes) 1554300017.289 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.289 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.290 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300017.290 * * [misc]simplify: Extracting #3: cost 17 inf + 3 1554300017.290 * * [misc]simplify: Extracting #4: cost 16 inf + 289 1554300017.290 * * [misc]simplify: Extracting #5: cost 15 inf + 453 1554300017.290 * * [misc]simplify: Extracting #6: cost 8 inf + 1408 1554300017.290 * * [misc]simplify: Extracting #7: cost 1 inf + 4419 1554300017.291 * * [misc]simplify: Extracting #8: cost 0 inf + 4952 1554300017.292 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow PI (- (/ k 2))))) (sqrt k)) 1554300017.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- (/ k 2)))))) (/ (* (sqrt PI) (cbrt (pow PI (- (/ k 2))))) (sqrt k)))) 1554300017.292 * * * * [misc]progress: [ 499 / 621 ] simplifiying candidate # 1554300017.292 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) 1554300017.292 * * [misc]simplify: iters left: 6 (16 enodes) 1554300017.296 * * [misc]simplify: iters left: 5 (55 enodes) 1554300017.305 * * [misc]simplify: iters left: 4 (65 enodes) 1554300017.315 * * [misc]simplify: iters left: 3 (67 enodes) 1554300017.324 * * [misc]simplify: iters left: 2 (70 enodes) 1554300017.334 * * [misc]simplify: iters left: 1 (71 enodes) 1554300017.348 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.348 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300017.348 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300017.348 * * [misc]simplify: Extracting #3: cost 22 inf + 1 1554300017.349 * * [misc]simplify: Extracting #4: cost 22 inf + 5 1554300017.349 * * [misc]simplify: Extracting #5: cost 19 inf + 132 1554300017.349 * * [misc]simplify: Extracting #6: cost 9 inf + 1546 1554300017.350 * * [misc]simplify: Extracting #7: cost 2 inf + 4665 1554300017.351 * * [misc]simplify: Extracting #8: cost 0 inf + 5414 1554300017.352 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (/ (- k) 2)))) 1554300017.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (/ (- k) 2)))) (/ (pow PI 1/2) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))))) 1554300017.353 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (sqrt (pow PI (- (/ k 2)))))) 1554300017.353 * * [misc]simplify: iters left: 6 (12 enodes) 1554300017.358 * * [misc]simplify: iters left: 5 (41 enodes) 1554300017.369 * * [misc]simplify: iters left: 4 (48 enodes) 1554300017.376 * * [misc]simplify: iters left: 3 (52 enodes) 1554300017.383 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.383 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.383 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300017.383 * * [misc]simplify: Extracting #3: cost 17 inf + 3 1554300017.383 * * [misc]simplify: Extracting #4: cost 16 inf + 289 1554300017.383 * * [misc]simplify: Extracting #5: cost 15 inf + 453 1554300017.383 * * [misc]simplify: Extracting #6: cost 8 inf + 1368 1554300017.384 * * [misc]simplify: Extracting #7: cost 1 inf + 4139 1554300017.384 * * [misc]simplify: Extracting #8: cost 0 inf + 4632 1554300017.385 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow PI (- (/ k 2))))) (sqrt k)) 1554300017.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (* (sqrt PI) (sqrt (pow PI (- (/ k 2))))) (sqrt k)))) 1554300017.385 * * * * [misc]progress: [ 500 / 621 ] simplifiying candidate # 1554300017.385 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ 1 1)) 1554300017.385 * * [misc]simplify: iters left: 6 (12 enodes) 1554300017.389 * * [misc]simplify: iters left: 5 (37 enodes) 1554300017.394 * * [misc]simplify: iters left: 4 (44 enodes) 1554300017.402 * * [misc]simplify: iters left: 3 (46 enodes) 1554300017.415 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.415 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300017.415 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300017.415 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554300017.416 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554300017.416 * * [misc]simplify: Extracting #5: cost 2 inf + 837 1554300017.416 * * [misc]simplify: Extracting #6: cost 0 inf + 1253 1554300017.417 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300017.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300017.417 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300017.417 * * [misc]simplify: iters left: 6 (11 enodes) 1554300017.423 * * [misc]simplify: iters left: 5 (38 enodes) 1554300017.430 * * [misc]simplify: iters left: 4 (45 enodes) 1554300017.436 * * [misc]simplify: iters left: 3 (49 enodes) 1554300017.442 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.442 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.442 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300017.443 * * [misc]simplify: Extracting #3: cost 19 inf + 3 1554300017.443 * * [misc]simplify: Extracting #4: cost 11 inf + 617 1554300017.443 * * [misc]simplify: Extracting #5: cost 5 inf + 1781 1554300017.443 * * [misc]simplify: Extracting #6: cost 0 inf + 3726 1554300017.444 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt k) (pow PI (/ (- k) 2)))) 1554300017.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554300017.444 * * * * [misc]progress: [ 501 / 621 ] simplifiying candidate # 1554300017.444 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1) 1554300017.444 * * [misc]simplify: iters left: 6 (11 enodes) 1554300017.449 * * [misc]simplify: iters left: 5 (34 enodes) 1554300017.454 * * [misc]simplify: iters left: 4 (43 enodes) 1554300017.460 * * [misc]simplify: iters left: 3 (45 enodes) 1554300017.472 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.472 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300017.472 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300017.472 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554300017.472 * * [misc]simplify: Extracting #4: cost 8 inf + 212 1554300017.473 * * [misc]simplify: Extracting #5: cost 1 inf + 919 1554300017.473 * * [misc]simplify: Extracting #6: cost 0 inf + 1253 1554300017.474 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300017.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1554300017.474 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300017.474 * * [misc]simplify: iters left: 6 (11 enodes) 1554300017.480 * * [misc]simplify: iters left: 5 (38 enodes) 1554300017.491 * * [misc]simplify: iters left: 4 (45 enodes) 1554300017.504 * * [misc]simplify: iters left: 3 (49 enodes) 1554300017.517 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.517 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.517 * * [misc]simplify: Extracting #2: cost 18 inf + 0 1554300017.517 * * [misc]simplify: Extracting #3: cost 19 inf + 3 1554300017.517 * * [misc]simplify: Extracting #4: cost 11 inf + 617 1554300017.518 * * [misc]simplify: Extracting #5: cost 5 inf + 1781 1554300017.519 * * [misc]simplify: Extracting #6: cost 0 inf + 3726 1554300017.520 * [exit]simplify: Simplified to (/ (sqrt PI) (/ (sqrt k) (pow PI (/ (- k) 2)))) 1554300017.520 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554300017.520 * * * * [misc]progress: [ 502 / 621 ] simplifiying candidate # 1554300017.520 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)) 1554300017.520 * * [misc]simplify: iters left: 6 (12 enodes) 1554300017.527 * * [misc]simplify: iters left: 5 (41 enodes) 1554300017.541 * * [misc]simplify: iters left: 4 (50 enodes) 1554300017.555 * * [misc]simplify: iters left: 3 (55 enodes) 1554300017.571 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.571 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300017.571 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300017.571 * * [misc]simplify: Extracting #3: cost 15 inf + 2 1554300017.571 * * [misc]simplify: Extracting #4: cost 13 inf + 88 1554300017.571 * * [misc]simplify: Extracting #5: cost 4 inf + 1292 1554300017.572 * * [misc]simplify: Extracting #6: cost 0 inf + 2163 1554300017.573 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300017.573 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI 1/2) (/ 1 (pow PI (- (/ k 2))))))) 1554300017.573 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow PI (- (/ k 2))))) 1554300017.573 * * [misc]simplify: iters left: 6 (11 enodes) 1554300017.579 * * [misc]simplify: iters left: 5 (40 enodes) 1554300017.592 * * [misc]simplify: iters left: 4 (45 enodes) 1554300017.607 * * [misc]simplify: iters left: 3 (52 enodes) 1554300017.614 * * [misc]simplify: iters left: 2 (53 enodes) 1554300017.621 * * [misc]simplify: iters left: 1 (55 enodes) 1554300017.629 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.629 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300017.629 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300017.629 * * [misc]simplify: Extracting #3: cost 15 inf + 3 1554300017.629 * * [misc]simplify: Extracting #4: cost 13 inf + 250 1554300017.629 * * [misc]simplify: Extracting #5: cost 8 inf + 497 1554300017.629 * * [misc]simplify: Extracting #6: cost 3 inf + 1581 1554300017.630 * * [misc]simplify: Extracting #7: cost 0 inf + 2581 1554300017.630 * [exit]simplify: Simplified to (* (sqrt PI) (pow PI (/ (- k) 2))) 1554300017.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (* (sqrt PI) (pow PI (/ (- k) 2))))) 1554300017.630 * * * * [misc]progress: [ 503 / 621 ] simplifiying candidate # 1554300017.630 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) 1)) 1554300017.631 * * [misc]simplify: iters left: 6 (13 enodes) 1554300017.634 * * [misc]simplify: iters left: 5 (44 enodes) 1554300017.641 * * [misc]simplify: iters left: 4 (55 enodes) 1554300017.651 * * [misc]simplify: iters left: 3 (70 enodes) 1554300017.660 * * [misc]simplify: iters left: 2 (81 enodes) 1554300017.671 * * [misc]simplify: iters left: 1 (91 enodes) 1554300017.694 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.694 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.694 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554300017.695 * * [misc]simplify: Extracting #3: cost 20 inf + 43 1554300017.695 * * [misc]simplify: Extracting #4: cost 16 inf + 293 1554300017.696 * * [misc]simplify: Extracting #5: cost 8 inf + 1417 1554300017.697 * * [misc]simplify: Extracting #6: cost 0 inf + 3905 1554300017.699 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300017.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI 1/2) (pow PI (/ k 2))))) 1554300017.700 * [enter]simplify: Simplifying (/ (pow PI 1/2) (pow PI (/ k 2))) 1554300017.700 * * [misc]simplify: iters left: 5 (8 enodes) 1554300017.703 * * [misc]simplify: iters left: 4 (25 enodes) 1554300017.707 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.707 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.707 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300017.707 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554300017.707 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1554300017.707 * * [misc]simplify: Extracting #5: cost 5 inf + 128 1554300017.707 * * [misc]simplify: Extracting #6: cost 2 inf + 756 1554300017.707 * * [misc]simplify: Extracting #7: cost 0 inf + 1342 1554300017.707 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1554300017.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (sqrt PI) (pow PI (/ k 2))))) 1554300017.707 * * * * [misc]progress: [ 504 / 621 ] simplifiying candidate # 1554300017.708 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow PI 0))) 1554300017.708 * * [misc]simplify: iters left: 6 (16 enodes) 1554300017.712 * * [misc]simplify: iters left: 5 (52 enodes) 1554300017.720 * * [misc]simplify: iters left: 4 (59 enodes) 1554300017.730 * * [misc]simplify: iters left: 3 (73 enodes) 1554300017.748 * * [misc]simplify: iters left: 2 (81 enodes) 1554300017.770 * * [misc]simplify: iters left: 1 (88 enodes) 1554300017.794 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.794 * * [misc]simplify: Extracting #1: cost 8 inf + 0 1554300017.794 * * [misc]simplify: Extracting #2: cost 15 inf + 1 1554300017.794 * * [misc]simplify: Extracting #3: cost 17 inf + 248 1554300017.795 * * [misc]simplify: Extracting #4: cost 17 inf + 251 1554300017.795 * * [misc]simplify: Extracting #5: cost 12 inf + 582 1554300017.796 * * [misc]simplify: Extracting #6: cost 6 inf + 1499 1554300017.797 * * [misc]simplify: Extracting #7: cost 1 inf + 3491 1554300017.798 * * [misc]simplify: Extracting #8: cost 0 inf + 3905 1554300017.800 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1554300017.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI 1/2) (pow PI (/ k 2))))) 1554300017.800 * [enter]simplify: Simplifying (/ (pow PI 1/2) (pow PI (/ k 2))) 1554300017.800 * * [misc]simplify: iters left: 5 (8 enodes) 1554300017.805 * * [misc]simplify: iters left: 4 (25 enodes) 1554300017.814 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.814 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.814 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300017.814 * * [misc]simplify: Extracting #3: cost 10 inf + 2 1554300017.814 * * [misc]simplify: Extracting #4: cost 6 inf + 86 1554300017.814 * * [misc]simplify: Extracting #5: cost 5 inf + 128 1554300017.815 * * [misc]simplify: Extracting #6: cost 2 inf + 756 1554300017.815 * * [misc]simplify: Extracting #7: cost 0 inf + 1342 1554300017.815 * [exit]simplify: Simplified to (/ (sqrt PI) (pow PI (/ k 2))) 1554300017.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (sqrt PI) (pow PI (/ k 2))))) 1554300017.815 * * * * [misc]progress: [ 505 / 621 ] simplifiying candidate # 1554300017.815 * * * * [misc]progress: [ 506 / 621 ] simplifiying candidate # 1554300017.816 * * * * [misc]progress: [ 507 / 621 ] simplifiying candidate # 1554300017.816 * * * * [misc]progress: [ 508 / 621 ] simplifiying candidate # 1554300017.816 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300017.816 * * [misc]simplify: iters left: 6 (9 enodes) 1554300017.821 * * [misc]simplify: iters left: 5 (29 enodes) 1554300017.829 * * [misc]simplify: iters left: 4 (31 enodes) 1554300017.834 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.834 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300017.834 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554300017.834 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554300017.834 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554300017.834 * * [misc]simplify: Extracting #5: cost 11 inf + 126 1554300017.834 * * [misc]simplify: Extracting #6: cost 8 inf + 291 1554300017.834 * * [misc]simplify: Extracting #7: cost 4 inf + 1081 1554300017.834 * * [misc]simplify: Extracting #8: cost 0 inf + 2653 1554300017.835 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))) 1554300017.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (* (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))) (cbrt (/ (sqrt k) (pow PI (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554300017.835 * * * * [misc]progress: [ 509 / 621 ] simplifiying candidate # 1554300017.835 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow PI (- (/ k 2))))) 1554300017.835 * * [misc]simplify: iters left: 6 (9 enodes) 1554300017.837 * * [misc]simplify: iters left: 5 (29 enodes) 1554300017.842 * * [misc]simplify: iters left: 4 (31 enodes) 1554300017.846 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.846 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300017.846 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554300017.846 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554300017.846 * * [misc]simplify: Extracting #4: cost 13 inf + 2 1554300017.846 * * [misc]simplify: Extracting #5: cost 11 inf + 126 1554300017.847 * * [misc]simplify: Extracting #6: cost 8 inf + 291 1554300017.847 * * [misc]simplify: Extracting #7: cost 4 inf + 1081 1554300017.847 * * [misc]simplify: Extracting #8: cost 0 inf + 2573 1554300017.847 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow PI (/ (- k) 2)))) 1554300017.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt (/ (sqrt k) (pow PI (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow PI (/ (- k) 2)))))) 1554300017.847 * * * * [misc]progress: [ 510 / 621 ] simplifiying candidate # 1554300017.848 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) 1554300017.848 * * [misc]simplify: iters left: 6 (10 enodes) 1554300017.850 * * [misc]simplify: iters left: 5 (32 enodes) 1554300017.855 * * [misc]simplify: iters left: 4 (34 enodes) 1554300017.864 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.864 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.864 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300017.864 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554300017.864 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300017.864 * * [misc]simplify: Extracting #5: cost 13 inf + 127 1554300017.865 * * [misc]simplify: Extracting #6: cost 4 inf + 1243 1554300017.865 * * [misc]simplify: Extracting #7: cost 0 inf + 3055 1554300017.866 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2)))) 1554300017.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow PI (/ (- k) 2)))))) 1554300017.866 * * * * [misc]progress: [ 511 / 621 ] simplifiying candidate # 1554300017.867 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))) 1554300017.867 * * [misc]simplify: iters left: 6 (10 enodes) 1554300017.870 * * [misc]simplify: iters left: 5 (32 enodes) 1554300017.875 * * [misc]simplify: iters left: 4 (34 enodes) 1554300017.879 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.879 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.879 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300017.879 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554300017.879 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300017.879 * * [misc]simplify: Extracting #5: cost 13 inf + 127 1554300017.880 * * [misc]simplify: Extracting #6: cost 4 inf + 1243 1554300017.880 * * [misc]simplify: Extracting #7: cost 0 inf + 2895 1554300017.880 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- k) 2)))) 1554300017.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow PI (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow PI (/ (- k) 2)))))) 1554300017.880 * * * * [misc]progress: [ 512 / 621 ] simplifiying candidate # 1554300017.881 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) 1554300017.881 * * [misc]simplify: iters left: 6 (9 enodes) 1554300017.883 * * [misc]simplify: iters left: 5 (29 enodes) 1554300017.887 * * [misc]simplify: iters left: 4 (31 enodes) 1554300017.891 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.891 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.891 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300017.891 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300017.891 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554300017.891 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554300017.891 * * [misc]simplify: Extracting #6: cost 4 inf + 868 1554300017.891 * * [misc]simplify: Extracting #7: cost 0 inf + 2149 1554300017.891 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) 1554300017.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))))) 1554300017.892 * * * * [misc]progress: [ 513 / 621 ] simplifiying candidate # 1554300017.892 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow PI (- (/ k 2))))) 1554300017.892 * * [misc]simplify: iters left: 6 (10 enodes) 1554300017.894 * * [misc]simplify: iters left: 5 (32 enodes) 1554300017.900 * * [misc]simplify: iters left: 4 (34 enodes) 1554300017.909 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.909 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.909 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300017.909 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554300017.909 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300017.909 * * [misc]simplify: Extracting #5: cost 13 inf + 127 1554300017.909 * * [misc]simplify: Extracting #6: cost 4 inf + 1163 1554300017.910 * * [misc]simplify: Extracting #7: cost 0 inf + 2895 1554300017.911 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow PI (/ (- k) 2)))) 1554300017.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (/ (- k) 2)))))) 1554300017.911 * * * * [misc]progress: [ 514 / 621 ] simplifiying candidate # 1554300017.911 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2))))) 1554300017.911 * * [misc]simplify: iters left: 6 (10 enodes) 1554300017.916 * * [misc]simplify: iters left: 5 (32 enodes) 1554300017.922 * * [misc]simplify: iters left: 4 (34 enodes) 1554300017.926 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.926 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.926 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300017.926 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554300017.926 * * [misc]simplify: Extracting #4: cost 15 inf + 2 1554300017.926 * * [misc]simplify: Extracting #5: cost 13 inf + 127 1554300017.927 * * [misc]simplify: Extracting #6: cost 4 inf + 1163 1554300017.927 * * [misc]simplify: Extracting #7: cost 0 inf + 2735 1554300017.927 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- k) 2)))) 1554300017.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow PI (/ (- k) 2)))))) 1554300017.927 * * * * [misc]progress: [ 515 / 621 ] simplifiying candidate # 1554300017.928 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1554300017.928 * * [misc]simplify: iters left: 6 (9 enodes) 1554300017.930 * * [misc]simplify: iters left: 5 (29 enodes) 1554300017.934 * * [misc]simplify: iters left: 4 (31 enodes) 1554300017.938 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.938 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.938 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300017.938 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300017.938 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554300017.938 * * [misc]simplify: Extracting #5: cost 10 inf + 168 1554300017.938 * * [misc]simplify: Extracting #6: cost 4 inf + 788 1554300017.939 * * [misc]simplify: Extracting #7: cost 0 inf + 1989 1554300017.939 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1554300017.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))))) 1554300017.939 * * * * [misc]progress: [ 516 / 621 ] simplifiying candidate # 1554300017.939 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow PI (- (/ k 2))))) 1554300017.939 * * [misc]simplify: iters left: 6 (9 enodes) 1554300017.941 * * [misc]simplify: iters left: 5 (29 enodes) 1554300017.946 * * [misc]simplify: iters left: 4 (31 enodes) 1554300017.950 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.950 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.950 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300017.950 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554300017.950 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554300017.950 * * [misc]simplify: Extracting #5: cost 11 inf + 126 1554300017.950 * * [misc]simplify: Extracting #6: cost 8 inf + 291 1554300017.951 * * [misc]simplify: Extracting #7: cost 4 inf + 1081 1554300017.951 * * [misc]simplify: Extracting #8: cost 0 inf + 2653 1554300017.951 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow PI (/ (- k) 2)))) 1554300017.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow PI (/ (- k) 2)))))) 1554300017.951 * * * * [misc]progress: [ 517 / 621 ] simplifiying candidate # 1554300017.951 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow PI (- (/ k 2))))) 1554300017.951 * * [misc]simplify: iters left: 6 (9 enodes) 1554300017.954 * * [misc]simplify: iters left: 5 (29 enodes) 1554300017.960 * * [misc]simplify: iters left: 4 (31 enodes) 1554300017.968 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.968 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.968 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300017.968 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554300017.968 * * [misc]simplify: Extracting #4: cost 11 inf + 84 1554300017.969 * * [misc]simplify: Extracting #5: cost 11 inf + 126 1554300017.969 * * [misc]simplify: Extracting #6: cost 8 inf + 291 1554300017.969 * * [misc]simplify: Extracting #7: cost 4 inf + 1041 1554300017.970 * * [misc]simplify: Extracting #8: cost 0 inf + 2493 1554300017.970 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow PI (/ (- k) 2)))) 1554300017.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 (sqrt (pow PI (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow PI (/ (- k) 2)))))) 1554300017.970 * * * * [misc]progress: [ 518 / 621 ] simplifiying candidate # 1554300017.971 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554300017.971 * * [misc]simplify: iters left: 6 (8 enodes) 1554300017.975 * * [misc]simplify: iters left: 5 (26 enodes) 1554300017.983 * * [misc]simplify: iters left: 4 (28 enodes) 1554300017.991 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300017.991 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300017.991 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300017.991 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300017.991 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554300017.992 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554300017.992 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554300017.992 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554300017.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ 1 1)) (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554300017.993 * * * * [misc]progress: [ 519 / 621 ] simplifiying candidate # 1554300017.993 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554300017.993 * * [misc]simplify: iters left: 6 (8 enodes) 1554300017.997 * * [misc]simplify: iters left: 5 (26 enodes) 1554300018.004 * * [misc]simplify: iters left: 4 (28 enodes) 1554300018.012 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.012 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.012 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300018.012 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300018.013 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554300018.013 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554300018.013 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554300018.014 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554300018.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1) (/ (sqrt k) (pow PI (/ (- k) 2))))) 1554300018.014 * * * * [misc]progress: [ 520 / 621 ] simplifiying candidate # 1554300018.014 * [enter]simplify: Simplifying (/ 1 (pow PI (- (/ k 2)))) 1554300018.014 * * [misc]simplify: iters left: 6 (8 enodes) 1554300018.019 * * [misc]simplify: iters left: 5 (28 enodes) 1554300018.027 * * [misc]simplify: iters left: 4 (32 enodes) 1554300018.037 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.037 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.037 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300018.037 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554300018.037 * * [misc]simplify: Extracting #4: cost 11 inf + 3 1554300018.037 * * [misc]simplify: Extracting #5: cost 5 inf + 252 1554300018.037 * * [misc]simplify: Extracting #6: cost 0 inf + 1588 1554300018.038 * [exit]simplify: Simplified to (/ 1 (pow PI (- (/ k 2)))) 1554300018.039 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (sqrt k)) (/ 1 (pow PI (- (/ k 2)))))) 1554300018.039 * * * * [misc]progress: [ 521 / 621 ] simplifiying candidate # 1554300018.039 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554300018.040 * * [misc]simplify: iters left: 3 (5 enodes) 1554300018.042 * * [misc]simplify: iters left: 2 (15 enodes) 1554300018.047 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.047 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.047 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300018.047 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554300018.047 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554300018.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) 1)) (pow PI (/ k 2)))) 1554300018.048 * * * * [misc]progress: [ 522 / 621 ] simplifiying candidate # 1554300018.048 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1554300018.048 * * [misc]simplify: iters left: 3 (5 enodes) 1554300018.051 * * [misc]simplify: iters left: 2 (15 enodes) 1554300018.055 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.055 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.055 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300018.055 * * [misc]simplify: Extracting #3: cost 0 inf + 593 1554300018.056 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1554300018.056 * [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 0))) (pow PI (/ k 2)))) 1554300018.056 * * * * [misc]progress: [ 523 / 621 ] simplifiying candidate # 1554300018.056 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) 1554300018.056 * * [misc]simplify: iters left: 6 (15 enodes) 1554300018.064 * * [misc]simplify: iters left: 5 (53 enodes) 1554300018.079 * * [misc]simplify: iters left: 4 (61 enodes) 1554300018.091 * * [misc]simplify: iters left: 3 (70 enodes) 1554300018.100 * * [misc]simplify: iters left: 2 (71 enodes) 1554300018.111 * * [misc]simplify: iters left: 1 (73 enodes) 1554300018.125 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.125 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300018.125 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554300018.125 * * [misc]simplify: Extracting #3: cost 11 inf + 0 1554300018.125 * * [misc]simplify: Extracting #4: cost 18 inf + 1 1554300018.126 * * [misc]simplify: Extracting #5: cost 22 inf + 3 1554300018.126 * * [misc]simplify: Extracting #6: cost 20 inf + 251 1554300018.126 * * [misc]simplify: Extracting #7: cost 17 inf + 378 1554300018.127 * * [misc]simplify: Extracting #8: cost 5 inf + 3118 1554300018.129 * * [misc]simplify: Extracting #9: cost 0 inf + 5140 1554300018.130 * [exit]simplify: Simplified to (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)))) 1554300018.130 * [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))) (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))))) 1554300018.130 * * * * [misc]progress: [ 524 / 621 ] simplifiying candidate # 1554300018.131 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) 1554300018.131 * * [misc]simplify: iters left: 6 (14 enodes) 1554300018.138 * * [misc]simplify: iters left: 5 (50 enodes) 1554300018.153 * * [misc]simplify: iters left: 4 (58 enodes) 1554300018.171 * * [misc]simplify: iters left: 3 (67 enodes) 1554300018.189 * * [misc]simplify: iters left: 2 (68 enodes) 1554300018.197 * * [misc]simplify: iters left: 1 (70 enodes) 1554300018.206 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.206 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300018.206 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300018.206 * * [misc]simplify: Extracting #3: cost 16 inf + 1 1554300018.206 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554300018.207 * * [misc]simplify: Extracting #5: cost 20 inf + 128 1554300018.207 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554300018.207 * * [misc]simplify: Extracting #7: cost 3 inf + 2745 1554300018.208 * * [misc]simplify: Extracting #8: cost 0 inf + 3990 1554300018.208 * [exit]simplify: Simplified to (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) 1554300018.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))))) 1554300018.208 * * * * [misc]progress: [ 525 / 621 ] simplifiying candidate # 1554300018.209 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300018.209 * * [misc]simplify: iters left: 6 (12 enodes) 1554300018.212 * * [misc]simplify: iters left: 5 (43 enodes) 1554300018.219 * * [misc]simplify: iters left: 4 (47 enodes) 1554300018.232 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.232 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300018.233 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300018.233 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554300018.233 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554300018.233 * * [misc]simplify: Extracting #5: cost 12 inf + 171 1554300018.233 * * [misc]simplify: Extracting #6: cost 8 inf + 579 1554300018.234 * * [misc]simplify: Extracting #7: cost 2 inf + 1917 1554300018.234 * * [misc]simplify: Extracting #8: cost 0 inf + 2443 1554300018.235 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554300018.235 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))))) 1554300018.235 * * * * [misc]progress: [ 526 / 621 ] simplifiying candidate # 1554300018.236 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) 1554300018.236 * * [misc]simplify: iters left: 6 (11 enodes) 1554300018.242 * * [misc]simplify: iters left: 5 (38 enodes) 1554300018.252 * * [misc]simplify: iters left: 4 (40 enodes) 1554300018.264 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.264 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.264 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300018.264 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300018.264 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554300018.264 * * [misc]simplify: Extracting #5: cost 8 inf + 252 1554300018.264 * * [misc]simplify: Extracting #6: cost 3 inf + 621 1554300018.265 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554300018.265 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554300018.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))))) 1554300018.266 * * * * [misc]progress: [ 527 / 621 ] simplifiying candidate # 1554300018.266 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300018.266 * * [misc]simplify: iters left: 5 (7 enodes) 1554300018.270 * * [misc]simplify: iters left: 4 (23 enodes) 1554300018.277 * * [misc]simplify: iters left: 3 (27 enodes) 1554300018.284 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.284 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.284 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300018.285 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300018.285 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300018.285 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300018.285 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300018.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n 2)) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300018.285 * * * * [misc]progress: [ 528 / 621 ] simplifiying candidate # 1554300018.285 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300018.286 * * [misc]simplify: iters left: 5 (7 enodes) 1554300018.289 * * [misc]simplify: iters left: 4 (23 enodes) 1554300018.299 * * [misc]simplify: iters left: 3 (27 enodes) 1554300018.306 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.306 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.306 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300018.306 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300018.306 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300018.306 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300018.306 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300018.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n 2)) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300018.307 * * * * [misc]progress: [ 529 / 621 ] simplifiying candidate # 1554300018.307 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300018.307 * * [misc]simplify: iters left: 6 (12 enodes) 1554300018.313 * * [misc]simplify: iters left: 5 (43 enodes) 1554300018.323 * * [misc]simplify: iters left: 4 (47 enodes) 1554300018.336 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.336 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300018.336 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300018.336 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554300018.336 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554300018.336 * * [misc]simplify: Extracting #5: cost 12 inf + 171 1554300018.336 * * [misc]simplify: Extracting #6: cost 8 inf + 579 1554300018.337 * * [misc]simplify: Extracting #7: cost 2 inf + 1917 1554300018.337 * * [misc]simplify: Extracting #8: cost 0 inf + 2443 1554300018.338 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554300018.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))))) 1554300018.338 * * * * [misc]progress: [ 530 / 621 ] simplifiying candidate # 1554300018.339 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) 1554300018.339 * * [misc]simplify: iters left: 6 (11 enodes) 1554300018.344 * * [misc]simplify: iters left: 5 (38 enodes) 1554300018.353 * * [misc]simplify: iters left: 4 (40 enodes) 1554300018.363 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.363 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.363 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300018.363 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300018.363 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554300018.363 * * [misc]simplify: Extracting #5: cost 8 inf + 252 1554300018.364 * * [misc]simplify: Extracting #6: cost 3 inf + 621 1554300018.364 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554300018.364 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554300018.364 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))))) 1554300018.365 * * * * [misc]progress: [ 531 / 621 ] simplifiying candidate # 1554300018.365 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300018.365 * * [misc]simplify: iters left: 5 (7 enodes) 1554300018.369 * * [misc]simplify: iters left: 4 (23 enodes) 1554300018.375 * * [misc]simplify: iters left: 3 (27 enodes) 1554300018.381 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.381 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.382 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300018.382 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300018.382 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300018.382 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300018.382 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300018.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n 2)) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300018.382 * * * * [misc]progress: [ 532 / 621 ] simplifiying candidate # 1554300018.382 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300018.383 * * [misc]simplify: iters left: 5 (7 enodes) 1554300018.386 * * [misc]simplify: iters left: 4 (23 enodes) 1554300018.394 * * [misc]simplify: iters left: 3 (27 enodes) 1554300018.402 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.402 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.402 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300018.402 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300018.402 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300018.402 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300018.402 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300018.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* n 2)) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300018.403 * * * * [misc]progress: [ 533 / 621 ] simplifiying candidate # 1554300018.403 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300018.403 * * [misc]simplify: iters left: 6 (14 enodes) 1554300018.410 * * [misc]simplify: iters left: 5 (49 enodes) 1554300018.424 * * [misc]simplify: iters left: 4 (58 enodes) 1554300018.442 * * [misc]simplify: iters left: 3 (60 enodes) 1554300018.458 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.458 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300018.458 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300018.458 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554300018.458 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554300018.458 * * [misc]simplify: Extracting #5: cost 19 inf + 172 1554300018.458 * * [misc]simplify: Extracting #6: cost 2 inf + 3390 1554300018.459 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 1554300018.459 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554300018.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))))) 1554300018.460 * * * * [misc]progress: [ 534 / 621 ] simplifiying candidate # 1554300018.460 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1554300018.460 * * [misc]simplify: iters left: 6 (13 enodes) 1554300018.463 * * [misc]simplify: iters left: 5 (44 enodes) 1554300018.470 * * [misc]simplify: iters left: 4 (51 enodes) 1554300018.477 * * [misc]simplify: iters left: 3 (53 enodes) 1554300018.484 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.484 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.484 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300018.484 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554300018.484 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554300018.484 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1554300018.485 * * [misc]simplify: Extracting #6: cost 7 inf + 705 1554300018.485 * * [misc]simplify: Extracting #7: cost 0 inf + 2492 1554300018.486 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554300018.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))))) 1554300018.486 * * * * [misc]progress: [ 535 / 621 ] simplifiying candidate # 1554300018.486 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554300018.487 * * [misc]simplify: iters left: 6 (9 enodes) 1554300018.492 * * [misc]simplify: iters left: 5 (29 enodes) 1554300018.502 * * [misc]simplify: iters left: 4 (36 enodes) 1554300018.509 * * [misc]simplify: iters left: 3 (38 enodes) 1554300018.514 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.514 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.514 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554300018.514 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554300018.514 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554300018.514 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554300018.514 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554300018.515 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554300018.515 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300018.515 * * * * [misc]progress: [ 536 / 621 ] simplifiying candidate # 1554300018.515 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554300018.515 * * [misc]simplify: iters left: 6 (9 enodes) 1554300018.518 * * [misc]simplify: iters left: 5 (29 enodes) 1554300018.522 * * [misc]simplify: iters left: 4 (36 enodes) 1554300018.527 * * [misc]simplify: iters left: 3 (38 enodes) 1554300018.533 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.533 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.533 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554300018.533 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554300018.533 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554300018.533 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554300018.533 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554300018.533 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554300018.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300018.533 * * * * [misc]progress: [ 537 / 621 ] simplifiying candidate # 1554300018.534 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300018.534 * * [misc]simplify: iters left: 6 (17 enodes) 1554300018.541 * * [misc]simplify: iters left: 5 (63 enodes) 1554300018.560 * * [misc]simplify: iters left: 4 (85 enodes) 1554300018.584 * * [misc]simplify: iters left: 3 (94 enodes) 1554300018.602 * * [misc]simplify: iters left: 2 (97 enodes) 1554300018.616 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.616 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554300018.616 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554300018.616 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554300018.616 * * [misc]simplify: Extracting #4: cost 36 inf + 1 1554300018.616 * * [misc]simplify: Extracting #5: cost 34 inf + 128 1554300018.616 * * [misc]simplify: Extracting #6: cost 24 inf + 1067 1554300018.617 * * [misc]simplify: Extracting #7: cost 10 inf + 5922 1554300018.618 * * [misc]simplify: Extracting #8: cost 0 inf + 11716 1554300018.620 * * [misc]simplify: Extracting #9: cost 0 inf + 11676 1554300018.621 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554300018.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2))))))) 1554300018.622 * * * * [misc]progress: [ 538 / 621 ] simplifiying candidate # 1554300018.622 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) 1554300018.622 * * [misc]simplify: iters left: 6 (16 enodes) 1554300018.630 * * [misc]simplify: iters left: 5 (56 enodes) 1554300018.647 * * [misc]simplify: iters left: 4 (67 enodes) 1554300018.664 * * [misc]simplify: iters left: 3 (72 enodes) 1554300018.684 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.684 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300018.684 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554300018.684 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1554300018.685 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554300018.685 * * [misc]simplify: Extracting #5: cost 26 inf + 128 1554300018.685 * * [misc]simplify: Extracting #6: cost 19 inf + 622 1554300018.686 * * [misc]simplify: Extracting #7: cost 7 inf + 3561 1554300018.687 * * [misc]simplify: Extracting #8: cost 0 inf + 7016 1554300018.689 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554300018.689 * [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 (sqrt PI))))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2))))))) 1554300018.689 * * * * [misc]progress: [ 539 / 621 ] simplifiying candidate # 1554300018.689 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554300018.690 * * [misc]simplify: iters left: 6 (12 enodes) 1554300018.696 * * [misc]simplify: iters left: 5 (41 enodes) 1554300018.709 * * [misc]simplify: iters left: 4 (56 enodes) 1554300018.724 * * [misc]simplify: iters left: 3 (59 enodes) 1554300018.738 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.738 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.738 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554300018.738 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554300018.738 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554300018.738 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554300018.738 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554300018.738 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554300018.738 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554300018.739 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554300018.739 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300018.739 * [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 (- (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2)))))) 1554300018.740 * * * * [misc]progress: [ 540 / 621 ] simplifiying candidate # 1554300018.740 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554300018.740 * * [misc]simplify: iters left: 6 (12 enodes) 1554300018.744 * * [misc]simplify: iters left: 5 (41 enodes) 1554300018.751 * * [misc]simplify: iters left: 4 (56 enodes) 1554300018.759 * * [misc]simplify: iters left: 3 (59 enodes) 1554300018.767 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.767 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300018.767 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554300018.767 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554300018.767 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554300018.767 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554300018.767 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554300018.767 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554300018.767 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554300018.768 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554300018.768 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300018.768 * [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 (- (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2)))))) 1554300018.768 * * * * [misc]progress: [ 541 / 621 ] simplifiying candidate # 1554300018.769 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300018.769 * * [misc]simplify: iters left: 6 (16 enodes) 1554300018.777 * * [misc]simplify: iters left: 5 (56 enodes) 1554300018.796 * * [misc]simplify: iters left: 4 (65 enodes) 1554300018.814 * * [misc]simplify: iters left: 3 (67 enodes) 1554300018.832 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.832 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300018.832 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554300018.832 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554300018.833 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554300018.833 * * [misc]simplify: Extracting #5: cost 22 inf + 331 1554300018.833 * * [misc]simplify: Extracting #6: cost 15 inf + 1106 1554300018.834 * * [misc]simplify: Extracting #7: cost 5 inf + 2894 1554300018.835 * * [misc]simplify: Extracting #8: cost 0 inf + 5360 1554300018.836 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554300018.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2))))))) 1554300018.836 * * * * [misc]progress: [ 542 / 621 ] simplifiying candidate # 1554300018.837 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) 1554300018.837 * * [misc]simplify: iters left: 6 (15 enodes) 1554300018.844 * * [misc]simplify: iters left: 5 (51 enodes) 1554300018.860 * * [misc]simplify: iters left: 4 (58 enodes) 1554300018.876 * * [misc]simplify: iters left: 3 (60 enodes) 1554300018.893 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.893 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.893 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300018.893 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554300018.893 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554300018.893 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554300018.893 * * [misc]simplify: Extracting #6: cost 15 inf + 418 1554300018.894 * * [misc]simplify: Extracting #7: cost 5 inf + 1702 1554300018.895 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 1554300018.896 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554300018.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2))))))) 1554300018.896 * * * * [misc]progress: [ 543 / 621 ] simplifiying candidate # 1554300018.896 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554300018.896 * * [misc]simplify: iters left: 6 (11 enodes) 1554300018.903 * * [misc]simplify: iters left: 5 (36 enodes) 1554300018.913 * * [misc]simplify: iters left: 4 (43 enodes) 1554300018.926 * * [misc]simplify: iters left: 3 (45 enodes) 1554300018.934 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.934 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.934 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300018.934 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554300018.934 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554300018.935 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554300018.935 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554300018.935 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554300018.935 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554300018.936 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2)))))) 1554300018.936 * * * * [misc]progress: [ 544 / 621 ] simplifiying candidate # 1554300018.936 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554300018.936 * * [misc]simplify: iters left: 6 (11 enodes) 1554300018.940 * * [misc]simplify: iters left: 5 (36 enodes) 1554300018.946 * * [misc]simplify: iters left: 4 (43 enodes) 1554300018.953 * * [misc]simplify: iters left: 3 (45 enodes) 1554300018.965 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.965 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300018.965 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300018.965 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554300018.966 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554300018.966 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554300018.966 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554300018.967 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554300018.967 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554300018.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2)))))) 1554300018.967 * * * * [misc]progress: [ 545 / 621 ] simplifiying candidate # 1554300018.968 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300018.968 * * [misc]simplify: iters left: 6 (8 enodes) 1554300018.972 * * [misc]simplify: iters left: 5 (29 enodes) 1554300018.981 * * [misc]simplify: iters left: 4 (33 enodes) 1554300018.991 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300018.991 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300018.991 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300018.991 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554300018.991 * * [misc]simplify: Extracting #4: cost 14 inf + 1 1554300018.992 * * [misc]simplify: Extracting #5: cost 11 inf + 44 1554300018.992 * * [misc]simplify: Extracting #6: cost 7 inf + 531 1554300018.992 * * [misc]simplify: Extracting #7: cost 1 inf + 1623 1554300018.993 * * [misc]simplify: Extracting #8: cost 0 inf + 1865 1554300018.993 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554300018.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ 1 (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))))) 1554300018.993 * * * * [misc]progress: [ 546 / 621 ] simplifiying candidate # 1554300018.994 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow PI 1/2)))) 1554300018.994 * * [misc]simplify: iters left: 6 (7 enodes) 1554300018.998 * * [misc]simplify: iters left: 5 (24 enodes) 1554300019.003 * * [misc]simplify: iters left: 4 (26 enodes) 1554300019.007 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.007 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300019.007 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300019.007 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554300019.007 * * [misc]simplify: Extracting #4: cost 10 inf + 1 1554300019.007 * * [misc]simplify: Extracting #5: cost 8 inf + 3 1554300019.008 * * [misc]simplify: Extracting #6: cost 2 inf + 613 1554300019.008 * * [misc]simplify: Extracting #7: cost 0 inf + 817 1554300019.008 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt PI)))) 1554300019.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (/ 1 (sqrt PI)))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))))) 1554300019.008 * * * * [misc]progress: [ 547 / 621 ] simplifiying candidate # 1554300019.008 * [enter]simplify: Simplifying (/ 1 1) 1554300019.008 * * [misc]simplify: iters left: 2 (2 enodes) 1554300019.009 * * [misc]simplify: iters left: 1 (6 enodes) 1554300019.010 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.010 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300019.010 * [exit]simplify: Simplified to 1 1554300019.010 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300019.010 * * * * [misc]progress: [ 548 / 621 ] simplifiying candidate # 1554300019.011 * [enter]simplify: Simplifying (/ 1 1) 1554300019.011 * * [misc]simplify: iters left: 2 (2 enodes) 1554300019.012 * * [misc]simplify: iters left: 1 (6 enodes) 1554300019.013 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.013 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300019.013 * [exit]simplify: Simplified to 1 1554300019.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))))) 1554300019.013 * * * * [misc]progress: [ 549 / 621 ] simplifiying candidate # 1554300019.013 * * * * [misc]progress: [ 550 / 621 ] simplifiying candidate # 1554300019.013 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554300019.013 * * [misc]simplify: iters left: 5 (8 enodes) 1554300019.015 * * [misc]simplify: iters left: 4 (27 enodes) 1554300019.020 * * [misc]simplify: iters left: 3 (32 enodes) 1554300019.025 * * [misc]simplify: iters left: 2 (34 enodes) 1554300019.030 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.030 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300019.030 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554300019.030 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554300019.031 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554300019.031 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554300019.031 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554300019.031 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300019.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (/ 1 (/ 1 (pow PI 1/2)))))) 1554300019.031 * * * * [misc]progress: [ 551 / 621 ] simplifiying candidate # 1554300019.031 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) 1554300019.032 * * [misc]simplify: iters left: 6 (10 enodes) 1554300019.035 * * [misc]simplify: iters left: 5 (33 enodes) 1554300019.040 * * [misc]simplify: iters left: 4 (40 enodes) 1554300019.048 * * [misc]simplify: iters left: 3 (42 enodes) 1554300019.056 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.056 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300019.056 * * [misc]simplify: Extracting #2: cost 11 inf + 1 1554300019.056 * * [misc]simplify: Extracting #3: cost 12 inf + 4 1554300019.056 * * [misc]simplify: Extracting #4: cost 7 inf + 214 1554300019.056 * * [misc]simplify: Extracting #5: cost 0 inf + 1253 1554300019.057 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300019.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow PI (- (/ k 2)))) (pow PI 1/2)))) 1554300019.057 * * * * [misc]progress: [ 552 / 621 ] simplifiying candidate # 1554300019.057 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1554300019.057 * * [misc]simplify: iters left: 5 (6 enodes) 1554300019.059 * * [misc]simplify: iters left: 4 (20 enodes) 1554300019.062 * * [misc]simplify: iters left: 3 (22 enodes) 1554300019.065 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.065 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300019.065 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554300019.065 * * [misc]simplify: Extracting #3: cost 9 inf + 2 1554300019.065 * * [misc]simplify: Extracting #4: cost 8 inf + 3 1554300019.065 * * [misc]simplify: Extracting #5: cost 1 inf + 626 1554300019.065 * * [misc]simplify: Extracting #6: cost 0 inf + 919 1554300019.065 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1554300019.065 * [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))))) 1554300019.065 * * * * [misc]progress: [ 553 / 621 ] simplifiying candidate # 1554300019.065 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1554300019.065 * * [misc]simplify: iters left: 5 (8 enodes) 1554300019.068 * * [misc]simplify: iters left: 4 (27 enodes) 1554300019.072 * * [misc]simplify: iters left: 3 (32 enodes) 1554300019.077 * * [misc]simplify: iters left: 2 (34 enodes) 1554300019.086 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.086 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300019.086 * * [misc]simplify: Extracting #2: cost 11 inf + 0 1554300019.086 * * [misc]simplify: Extracting #3: cost 12 inf + 3 1554300019.086 * * [misc]simplify: Extracting #4: cost 8 inf + 171 1554300019.087 * * [misc]simplify: Extracting #5: cost 1 inf + 918 1554300019.087 * * [misc]simplify: Extracting #6: cost 0 inf + 1252 1554300019.087 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1554300019.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow PI (- (/ k 2)))) (/ 1 (pow PI 1/2))))) 1554300019.088 * * * * [misc]progress: [ 554 / 621 ] simplifiying candidate #real (real->posit16 (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2))))))))> 1554300019.088 * * * * [misc]progress: [ 555 / 621 ] simplifiying candidate # 1554300019.088 * * * * [misc]progress: [ 556 / 621 ] simplifiying candidate # 1554300019.088 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) 1554300019.088 * * [misc]simplify: iters left: 6 (14 enodes) 1554300019.095 * * [misc]simplify: iters left: 5 (57 enodes) 1554300019.114 * * [misc]simplify: iters left: 4 (88 enodes) 1554300019.144 * * [misc]simplify: iters left: 3 (161 enodes) 1554300019.194 * * [misc]simplify: iters left: 2 (380 enodes) 1554300019.330 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.330 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1554300019.331 * * [misc]simplify: Extracting #2: cost 192 inf + 0 1554300019.333 * * [misc]simplify: Extracting #3: cost 205 inf + 780 1554300019.338 * * [misc]simplify: Extracting #4: cost 144 inf + 12132 1554300019.356 * * [misc]simplify: Extracting #5: cost 38 inf + 45613 1554300019.380 * * [misc]simplify: Extracting #6: cost 0 inf + 59104 1554300019.403 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* 1/2 (log PI))) 1554300019.403 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* 1/2 (log PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300019.403 * * * * [misc]progress: [ 557 / 621 ] simplifiying candidate # 1554300019.403 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) 1554300019.404 * * [misc]simplify: iters left: 6 (14 enodes) 1554300019.411 * * [misc]simplify: iters left: 5 (54 enodes) 1554300019.423 * * [misc]simplify: iters left: 4 (84 enodes) 1554300019.437 * * [misc]simplify: iters left: 3 (162 enodes) 1554300019.478 * * [misc]simplify: iters left: 2 (385 enodes) 1554300019.574 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.575 * * [misc]simplify: Extracting #1: cost 81 inf + 0 1554300019.575 * * [misc]simplify: Extracting #2: cost 221 inf + 0 1554300019.576 * * [misc]simplify: Extracting #3: cost 238 inf + 324 1554300019.578 * * [misc]simplify: Extracting #4: cost 199 inf + 5565 1554300019.591 * * [misc]simplify: Extracting #5: cost 97 inf + 34193 1554300019.606 * * [misc]simplify: Extracting #6: cost 2 inf + 70487 1554300019.620 * * [misc]simplify: Extracting #7: cost 0 inf + 71286 1554300019.642 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt PI))) 1554300019.642 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300019.642 * * * * [misc]progress: [ 558 / 621 ] simplifiying candidate # 1554300019.643 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) 1554300019.643 * * [misc]simplify: iters left: 6 (15 enodes) 1554300019.649 * * [misc]simplify: iters left: 5 (61 enodes) 1554300019.659 * * [misc]simplify: iters left: 4 (89 enodes) 1554300019.676 * * [misc]simplify: iters left: 3 (167 enodes) 1554300019.735 * * [misc]simplify: iters left: 2 (402 enodes) 1554300019.908 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300019.908 * * [misc]simplify: Extracting #1: cost 60 inf + 0 1554300019.909 * * [misc]simplify: Extracting #2: cost 206 inf + 0 1554300019.909 * * [misc]simplify: Extracting #3: cost 225 inf + 243 1554300019.911 * * [misc]simplify: Extracting #4: cost 168 inf + 9668 1554300019.920 * * [misc]simplify: Extracting #5: cost 30 inf + 50688 1554300019.933 * * [misc]simplify: Extracting #6: cost 1 inf + 61142 1554300019.945 * * [misc]simplify: Extracting #7: cost 0 inf + 61597 1554300019.959 * [exit]simplify: Simplified to (+ (log (sqrt PI)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554300019.959 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (log (sqrt PI)) (* (log (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300019.959 * * * * [misc]progress: [ 559 / 621 ] simplifiying candidate # 1554300019.960 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) 1/2))) 1554300019.960 * * [misc]simplify: iters left: 6 (14 enodes) 1554300019.971 * * [misc]simplify: iters left: 5 (57 enodes) 1554300019.984 * * [misc]simplify: iters left: 4 (88 enodes) 1554300020.000 * * [misc]simplify: iters left: 3 (161 enodes) 1554300020.033 * * [misc]simplify: iters left: 2 (380 enodes) 1554300020.143 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300020.144 * * [misc]simplify: Extracting #1: cost 62 inf + 0 1554300020.144 * * [misc]simplify: Extracting #2: cost 192 inf + 0 1554300020.145 * * [misc]simplify: Extracting #3: cost 205 inf + 780 1554300020.147 * * [misc]simplify: Extracting #4: cost 144 inf + 12132 1554300020.155 * * [misc]simplify: Extracting #5: cost 38 inf + 45613 1554300020.177 * * [misc]simplify: Extracting #6: cost 0 inf + 59104 1554300020.193 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* 1/2 (log PI))) 1554300020.193 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* 1/2 (log PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300020.193 * * * * [misc]progress: [ 560 / 621 ] simplifiying candidate # 1554300020.194 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI 1/2)))) 1554300020.194 * * [misc]simplify: iters left: 6 (14 enodes) 1554300020.200 * * [misc]simplify: iters left: 5 (54 enodes) 1554300020.209 * * [misc]simplify: iters left: 4 (84 enodes) 1554300020.224 * * [misc]simplify: iters left: 3 (162 enodes) 1554300020.279 * * [misc]simplify: iters left: 2 (385 enodes) 1554300020.410 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300020.410 * * [misc]simplify: Extracting #1: cost 81 inf + 0 1554300020.410 * * [misc]simplify: Extracting #2: cost 221 inf + 0 1554300020.411 * * [misc]simplify: Extracting #3: cost 238 inf + 324 1554300020.413 * * [misc]simplify: Extracting #4: cost 199 inf + 5565 1554300020.418 * * [misc]simplify: Extracting #5: cost 97 inf + 34193 1554300020.431 * * [misc]simplify: Extracting #6: cost 2 inf + 70487 1554300020.448 * * [misc]simplify: Extracting #7: cost 0 inf + 71286 1554300020.482 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt PI))) 1554300020.482 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300020.483 * * * * [misc]progress: [ 561 / 621 ] simplifiying candidate # 1554300020.483 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ 1 (pow PI 1/2)))) 1554300020.483 * * [misc]simplify: iters left: 6 (15 enodes) 1554300020.493 * * [misc]simplify: iters left: 5 (61 enodes) 1554300020.512 * * [misc]simplify: iters left: 4 (89 enodes) 1554300020.542 * * [misc]simplify: iters left: 3 (167 enodes) 1554300020.611 * * [misc]simplify: iters left: 2 (402 enodes) 1554300020.771 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300020.771 * * [misc]simplify: Extracting #1: cost 60 inf + 0 1554300020.772 * * [misc]simplify: Extracting #2: cost 206 inf + 0 1554300020.773 * * [misc]simplify: Extracting #3: cost 225 inf + 243 1554300020.774 * * [misc]simplify: Extracting #4: cost 168 inf + 9668 1554300020.786 * * [misc]simplify: Extracting #5: cost 30 inf + 50688 1554300020.808 * * [misc]simplify: Extracting #6: cost 1 inf + 61142 1554300020.833 * * [misc]simplify: Extracting #7: cost 0 inf + 61597 1554300020.859 * [exit]simplify: Simplified to (+ (log (sqrt PI)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1554300020.859 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (log (sqrt PI)) (* (log (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300020.859 * * * * [misc]progress: [ 562 / 621 ] simplifiying candidate # 1554300020.859 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log PI) 1/2))) 1554300020.860 * * [misc]simplify: iters left: 6 (14 enodes) 1554300020.868 * * [misc]simplify: iters left: 5 (55 enodes) 1554300020.884 * * [misc]simplify: iters left: 4 (76 enodes) 1554300020.896 * * [misc]simplify: iters left: 3 (101 enodes) 1554300020.915 * * [misc]simplify: iters left: 2 (181 enodes) 1554300020.985 * * [misc]simplify: iters left: 1 (469 enodes) 1554300021.186 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300021.186 * * [misc]simplify: Extracting #1: cost 76 inf + 0 1554300021.187 * * [misc]simplify: Extracting #2: cost 240 inf + 0 1554300021.188 * * [misc]simplify: Extracting #3: cost 258 inf + 324 1554300021.196 * * [misc]simplify: Extracting #4: cost 190 inf + 15629 1554300021.213 * * [misc]simplify: Extracting #5: cost 61 inf + 54473 1554300021.245 * * [misc]simplify: Extracting #6: cost 1 inf + 76934 1554300021.263 * * [misc]simplify: Extracting #7: cost 0 inf + 76987 1554300021.281 * * [misc]simplify: Extracting #8: cost 0 inf + 76947 1554300021.312 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) 1/2)) 1554300021.312 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300021.312 * * * * [misc]progress: [ 563 / 621 ] simplifiying candidate # 1554300021.312 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (pow PI 1/2)))) 1554300021.312 * * [misc]simplify: iters left: 6 (14 enodes) 1554300021.316 * * [misc]simplify: iters left: 5 (52 enodes) 1554300021.324 * * [misc]simplify: iters left: 4 (72 enodes) 1554300021.334 * * [misc]simplify: iters left: 3 (102 enodes) 1554300021.367 * * [misc]simplify: iters left: 2 (186 enodes) 1554300021.430 * * [misc]simplify: iters left: 1 (471 enodes) 1554300021.633 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300021.633 * * [misc]simplify: Extracting #1: cost 68 inf + 0 1554300021.634 * * [misc]simplify: Extracting #2: cost 230 inf + 0 1554300021.635 * * [misc]simplify: Extracting #3: cost 251 inf + 211 1554300021.637 * * [misc]simplify: Extracting #4: cost 202 inf + 9004 1554300021.644 * * [misc]simplify: Extracting #5: cost 73 inf + 48394 1554300021.662 * * [misc]simplify: Extracting #6: cost 3 inf + 70990 1554300021.692 * * [misc]simplify: Extracting #7: cost 0 inf + 72124 1554300021.716 * [exit]simplify: Simplified to (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt PI))) 1554300021.716 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300021.717 * * * * [misc]progress: [ 564 / 621 ] simplifiying candidate # 1554300021.717 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ 1 (pow PI 1/2)))) 1554300021.717 * * [misc]simplify: iters left: 6 (15 enodes) 1554300021.721 * * [misc]simplify: iters left: 5 (59 enodes) 1554300021.730 * * [misc]simplify: iters left: 4 (77 enodes) 1554300021.744 * * [misc]simplify: iters left: 3 (107 enodes) 1554300021.780 * * [misc]simplify: iters left: 2 (196 enodes) 1554300021.867 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300021.867 * * [misc]simplify: Extracting #1: cost 32 inf + 0 1554300021.868 * * [misc]simplify: Extracting #2: cost 107 inf + 0 1554300021.868 * * [misc]simplify: Extracting #3: cost 123 inf + 75 1554300021.869 * * [misc]simplify: Extracting #4: cost 94 inf + 3414 1554300021.871 * * [misc]simplify: Extracting #5: cost 52 inf + 11475 1554300021.875 * * [misc]simplify: Extracting #6: cost 4 inf + 26810 1554300021.881 * * [misc]simplify: Extracting #7: cost 0 inf + 28759 1554300021.889 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt PI))) 1554300021.889 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300021.889 * * * * [misc]progress: [ 565 / 621 ] simplifiying candidate # 1554300021.889 * * * * [misc]progress: [ 566 / 621 ] simplifiying candidate # 1554300021.889 * * * * [misc]progress: [ 567 / 621 ] simplifiying candidate # 1554300021.890 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ 1 (pow PI 1/2)) (/ 1 (pow PI 1/2))) (/ 1 (pow PI 1/2)))) 1554300021.890 * * [misc]simplify: iters left: 6 (17 enodes) 1554300021.899 * * [misc]simplify: iters left: 5 (72 enodes) 1554300021.927 * * [misc]simplify: iters left: 4 (132 enodes) 1554300021.987 * * [misc]simplify: iters left: 3 (293 enodes) 1554300022.169 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.169 * * [misc]simplify: Extracting #1: cost 42 inf + 0 1554300022.170 * * [misc]simplify: Extracting #2: cost 98 inf + 126 1554300022.170 * * [misc]simplify: Extracting #3: cost 93 inf + 904 1554300022.171 * * [misc]simplify: Extracting #4: cost 91 inf + 1193 1554300022.172 * * [misc]simplify: Extracting #5: cost 81 inf + 4181 1554300022.178 * * [misc]simplify: Extracting #6: cost 11 inf + 33678 1554300022.186 * * [misc]simplify: Extracting #7: cost 0 inf + 38969 1554300022.195 * [exit]simplify: Simplified to (* (sqrt PI) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) PI)) 1554300022.196 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (sqrt PI) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) PI))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.196 * * * * [misc]progress: [ 568 / 621 ] simplifiying candidate # 1554300022.196 * * * * [misc]progress: [ 569 / 621 ] simplifiying candidate # 1554300022.196 * * * * [misc]progress: [ 570 / 621 ] simplifiying candidate # 1554300022.196 * * * * [misc]progress: [ 571 / 621 ] simplifiying candidate # 1554300022.196 * * * * [misc]progress: [ 572 / 621 ] simplifiying candidate # 1554300022.196 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300022.196 * * [misc]simplify: iters left: 6 (12 enodes) 1554300022.199 * * [misc]simplify: iters left: 5 (43 enodes) 1554300022.206 * * [misc]simplify: iters left: 4 (47 enodes) 1554300022.220 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.220 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300022.220 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300022.220 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554300022.220 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554300022.221 * * [misc]simplify: Extracting #5: cost 12 inf + 171 1554300022.221 * * [misc]simplify: Extracting #6: cost 8 inf + 579 1554300022.221 * * [misc]simplify: Extracting #7: cost 2 inf + 1917 1554300022.222 * * [misc]simplify: Extracting #8: cost 0 inf + 2443 1554300022.223 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554300022.223 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.223 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) 1554300022.224 * * [misc]simplify: iters left: 6 (14 enodes) 1554300022.231 * * [misc]simplify: iters left: 5 (48 enodes) 1554300022.248 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.263 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.263 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.263 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.264 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554300022.264 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554300022.264 * * [misc]simplify: Extracting #5: cost 11 inf + 338 1554300022.264 * * [misc]simplify: Extracting #6: cost 2 inf + 2109 1554300022.265 * * [misc]simplify: Extracting #7: cost 0 inf + 2726 1554300022.266 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554300022.266 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.266 * * * * [misc]progress: [ 573 / 621 ] simplifiying candidate # 1554300022.266 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) 1554300022.267 * * [misc]simplify: iters left: 6 (11 enodes) 1554300022.272 * * [misc]simplify: iters left: 5 (38 enodes) 1554300022.283 * * [misc]simplify: iters left: 4 (40 enodes) 1554300022.295 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.295 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.295 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.295 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300022.295 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554300022.295 * * [misc]simplify: Extracting #5: cost 8 inf + 252 1554300022.295 * * [misc]simplify: Extracting #6: cost 3 inf + 621 1554300022.296 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554300022.296 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554300022.296 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.297 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1554300022.297 * * [misc]simplify: iters left: 6 (14 enodes) 1554300022.304 * * [misc]simplify: iters left: 5 (48 enodes) 1554300022.317 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.331 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.331 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.331 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.331 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554300022.331 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554300022.331 * * [misc]simplify: Extracting #5: cost 11 inf + 338 1554300022.332 * * [misc]simplify: Extracting #6: cost 2 inf + 1989 1554300022.333 * * [misc]simplify: Extracting #7: cost 0 inf + 2566 1554300022.333 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554300022.333 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.333 * * * * [misc]progress: [ 574 / 621 ] simplifiying candidate # 1554300022.334 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300022.334 * * [misc]simplify: iters left: 5 (7 enodes) 1554300022.338 * * [misc]simplify: iters left: 4 (23 enodes) 1554300022.346 * * [misc]simplify: iters left: 3 (27 enodes) 1554300022.353 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.353 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300022.353 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300022.353 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300022.354 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300022.354 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300022.354 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300022.354 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.354 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) 1554300022.355 * * [misc]simplify: iters left: 6 (13 enodes) 1554300022.359 * * [misc]simplify: iters left: 5 (47 enodes) 1554300022.366 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.374 * * [misc]simplify: iters left: 3 (59 enodes) 1554300022.385 * * [misc]simplify: iters left: 2 (60 enodes) 1554300022.397 * * [misc]simplify: iters left: 1 (62 enodes) 1554300022.405 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.405 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300022.405 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300022.405 * * [misc]simplify: Extracting #3: cost 14 inf + 249 1554300022.405 * * [misc]simplify: Extracting #4: cost 15 inf + 251 1554300022.405 * * [misc]simplify: Extracting #5: cost 8 inf + 542 1554300022.406 * * [misc]simplify: Extracting #6: cost 1 inf + 2494 1554300022.406 * * [misc]simplify: Extracting #7: cost 0 inf + 2908 1554300022.406 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- (/ k 2)))) 1554300022.407 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* n 2)) (* (sqrt PI) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.407 * * * * [misc]progress: [ 575 / 621 ] simplifiying candidate # 1554300022.407 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300022.407 * * [misc]simplify: iters left: 5 (7 enodes) 1554300022.409 * * [misc]simplify: iters left: 4 (23 enodes) 1554300022.414 * * [misc]simplify: iters left: 3 (27 enodes) 1554300022.418 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.418 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300022.418 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300022.418 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300022.418 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300022.418 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300022.418 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300022.418 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.418 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) 1554300022.418 * * [misc]simplify: iters left: 6 (13 enodes) 1554300022.422 * * [misc]simplify: iters left: 5 (47 enodes) 1554300022.429 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.444 * * [misc]simplify: iters left: 3 (59 enodes) 1554300022.460 * * [misc]simplify: iters left: 2 (60 enodes) 1554300022.475 * * [misc]simplify: iters left: 1 (62 enodes) 1554300022.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.490 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300022.490 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300022.492 * * [misc]simplify: Extracting #3: cost 14 inf + 249 1554300022.493 * * [misc]simplify: Extracting #4: cost 15 inf + 251 1554300022.493 * * [misc]simplify: Extracting #5: cost 8 inf + 542 1554300022.493 * * [misc]simplify: Extracting #6: cost 1 inf + 2494 1554300022.495 * * [misc]simplify: Extracting #7: cost 0 inf + 2908 1554300022.496 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- (/ k 2)))) 1554300022.496 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* n 2)) (* (sqrt PI) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.496 * * * * [misc]progress: [ 576 / 621 ] simplifiying candidate # 1554300022.496 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300022.496 * * [misc]simplify: iters left: 6 (12 enodes) 1554300022.503 * * [misc]simplify: iters left: 5 (43 enodes) 1554300022.515 * * [misc]simplify: iters left: 4 (47 enodes) 1554300022.528 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.528 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300022.528 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300022.529 * * [misc]simplify: Extracting #3: cost 18 inf + 1 1554300022.529 * * [misc]simplify: Extracting #4: cost 17 inf + 4 1554300022.529 * * [misc]simplify: Extracting #5: cost 12 inf + 171 1554300022.529 * * [misc]simplify: Extracting #6: cost 8 inf + 579 1554300022.530 * * [misc]simplify: Extracting #7: cost 2 inf + 1917 1554300022.530 * * [misc]simplify: Extracting #8: cost 0 inf + 2443 1554300022.531 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554300022.531 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.532 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) 1554300022.532 * * [misc]simplify: iters left: 6 (14 enodes) 1554300022.539 * * [misc]simplify: iters left: 5 (48 enodes) 1554300022.553 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.568 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.568 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.568 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.568 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554300022.568 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554300022.569 * * [misc]simplify: Extracting #5: cost 11 inf + 338 1554300022.569 * * [misc]simplify: Extracting #6: cost 2 inf + 2109 1554300022.570 * * [misc]simplify: Extracting #7: cost 0 inf + 2726 1554300022.570 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554300022.570 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.571 * * * * [misc]progress: [ 577 / 621 ] simplifiying candidate # 1554300022.571 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (/ 1 (pow PI 1/2)))) 1554300022.571 * * [misc]simplify: iters left: 6 (11 enodes) 1554300022.577 * * [misc]simplify: iters left: 5 (38 enodes) 1554300022.588 * * [misc]simplify: iters left: 4 (40 enodes) 1554300022.599 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.599 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.599 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.599 * * [misc]simplify: Extracting #3: cost 14 inf + 1 1554300022.599 * * [misc]simplify: Extracting #4: cost 13 inf + 4 1554300022.599 * * [misc]simplify: Extracting #5: cost 8 inf + 252 1554300022.599 * * [misc]simplify: Extracting #6: cost 3 inf + 621 1554300022.600 * * [misc]simplify: Extracting #7: cost 0 inf + 1231 1554300022.600 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) 1554300022.600 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.601 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1554300022.601 * * [misc]simplify: iters left: 6 (14 enodes) 1554300022.608 * * [misc]simplify: iters left: 5 (48 enodes) 1554300022.622 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.636 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.636 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.636 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.637 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554300022.637 * * [misc]simplify: Extracting #4: cost 21 inf + 3 1554300022.637 * * [misc]simplify: Extracting #5: cost 11 inf + 338 1554300022.637 * * [misc]simplify: Extracting #6: cost 2 inf + 1989 1554300022.638 * * [misc]simplify: Extracting #7: cost 0 inf + 2566 1554300022.639 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554300022.639 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* n 2)) (sqrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.639 * * * * [misc]progress: [ 578 / 621 ] simplifiying candidate # 1554300022.639 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300022.639 * * [misc]simplify: iters left: 5 (7 enodes) 1554300022.643 * * [misc]simplify: iters left: 4 (23 enodes) 1554300022.651 * * [misc]simplify: iters left: 3 (27 enodes) 1554300022.655 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.655 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300022.655 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300022.655 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300022.655 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300022.655 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300022.655 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300022.655 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.656 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) 1554300022.656 * * [misc]simplify: iters left: 6 (13 enodes) 1554300022.659 * * [misc]simplify: iters left: 5 (47 enodes) 1554300022.666 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.674 * * [misc]simplify: iters left: 3 (59 enodes) 1554300022.683 * * [misc]simplify: iters left: 2 (60 enodes) 1554300022.698 * * [misc]simplify: iters left: 1 (62 enodes) 1554300022.713 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.713 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300022.713 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300022.714 * * [misc]simplify: Extracting #3: cost 14 inf + 249 1554300022.714 * * [misc]simplify: Extracting #4: cost 15 inf + 251 1554300022.714 * * [misc]simplify: Extracting #5: cost 8 inf + 542 1554300022.715 * * [misc]simplify: Extracting #6: cost 1 inf + 2494 1554300022.716 * * [misc]simplify: Extracting #7: cost 0 inf + 2908 1554300022.716 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- (/ k 2)))) 1554300022.716 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* n 2)) (* (sqrt PI) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.717 * * * * [misc]progress: [ 579 / 621 ] simplifiying candidate # 1554300022.717 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1554300022.717 * * [misc]simplify: iters left: 5 (7 enodes) 1554300022.722 * * [misc]simplify: iters left: 4 (23 enodes) 1554300022.729 * * [misc]simplify: iters left: 3 (27 enodes) 1554300022.736 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.736 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300022.736 * * [misc]simplify: Extracting #2: cost 6 inf + 2 1554300022.737 * * [misc]simplify: Extracting #3: cost 4 inf + 4 1554300022.737 * * [misc]simplify: Extracting #4: cost 1 inf + 170 1554300022.737 * * [misc]simplify: Extracting #5: cost 0 inf + 252 1554300022.737 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300022.737 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.737 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (/ 1 (pow PI 1/2))) 1554300022.738 * * [misc]simplify: iters left: 6 (13 enodes) 1554300022.744 * * [misc]simplify: iters left: 5 (47 enodes) 1554300022.758 * * [misc]simplify: iters left: 4 (52 enodes) 1554300022.776 * * [misc]simplify: iters left: 3 (59 enodes) 1554300022.792 * * [misc]simplify: iters left: 2 (60 enodes) 1554300022.808 * * [misc]simplify: iters left: 1 (62 enodes) 1554300022.823 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.823 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300022.824 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300022.824 * * [misc]simplify: Extracting #3: cost 14 inf + 249 1554300022.824 * * [misc]simplify: Extracting #4: cost 15 inf + 251 1554300022.824 * * [misc]simplify: Extracting #5: cost 8 inf + 542 1554300022.825 * * [misc]simplify: Extracting #6: cost 1 inf + 2494 1554300022.826 * * [misc]simplify: Extracting #7: cost 0 inf + 2908 1554300022.827 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- (/ k 2)))) 1554300022.827 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* n 2)) (* (sqrt PI) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.827 * * * * [misc]progress: [ 580 / 621 ] simplifiying candidate # 1554300022.827 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300022.828 * * [misc]simplify: iters left: 6 (14 enodes) 1554300022.835 * * [misc]simplify: iters left: 5 (49 enodes) 1554300022.850 * * [misc]simplify: iters left: 4 (58 enodes) 1554300022.867 * * [misc]simplify: iters left: 3 (60 enodes) 1554300022.883 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.883 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300022.883 * * [misc]simplify: Extracting #2: cost 13 inf + 0 1554300022.883 * * [misc]simplify: Extracting #3: cost 19 inf + 1 1554300022.883 * * [misc]simplify: Extracting #4: cost 24 inf + 3 1554300022.884 * * [misc]simplify: Extracting #5: cost 19 inf + 172 1554300022.884 * * [misc]simplify: Extracting #6: cost 2 inf + 3390 1554300022.884 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 1554300022.885 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554300022.885 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.885 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) 1554300022.885 * * [misc]simplify: iters left: 6 (12 enodes) 1554300022.889 * * [misc]simplify: iters left: 5 (41 enodes) 1554300022.895 * * [misc]simplify: iters left: 4 (48 enodes) 1554300022.902 * * [misc]simplify: iters left: 3 (50 enodes) 1554300022.913 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.913 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.913 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.914 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554300022.914 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1554300022.914 * * [misc]simplify: Extracting #5: cost 15 inf + 170 1554300022.914 * * [misc]simplify: Extracting #6: cost 6 inf + 958 1554300022.914 * * [misc]simplify: Extracting #7: cost 1 inf + 2152 1554300022.915 * * [misc]simplify: Extracting #8: cost 0 inf + 2647 1554300022.915 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554300022.915 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.915 * * * * [misc]progress: [ 581 / 621 ] simplifiying candidate # 1554300022.915 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1554300022.915 * * [misc]simplify: iters left: 6 (13 enodes) 1554300022.919 * * [misc]simplify: iters left: 5 (44 enodes) 1554300022.925 * * [misc]simplify: iters left: 4 (51 enodes) 1554300022.933 * * [misc]simplify: iters left: 3 (53 enodes) 1554300022.942 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.943 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.943 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.943 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554300022.943 * * [misc]simplify: Extracting #4: cost 20 inf + 3 1554300022.943 * * [misc]simplify: Extracting #5: cost 16 inf + 88 1554300022.943 * * [misc]simplify: Extracting #6: cost 7 inf + 705 1554300022.944 * * [misc]simplify: Extracting #7: cost 0 inf + 2492 1554300022.945 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554300022.945 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.945 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1554300022.945 * * [misc]simplify: iters left: 6 (12 enodes) 1554300022.951 * * [misc]simplify: iters left: 5 (41 enodes) 1554300022.962 * * [misc]simplify: iters left: 4 (48 enodes) 1554300022.969 * * [misc]simplify: iters left: 3 (50 enodes) 1554300022.977 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300022.977 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300022.977 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300022.977 * * [misc]simplify: Extracting #3: cost 15 inf + 1 1554300022.977 * * [misc]simplify: Extracting #4: cost 19 inf + 3 1554300022.977 * * [misc]simplify: Extracting #5: cost 15 inf + 170 1554300022.977 * * [misc]simplify: Extracting #6: cost 6 inf + 958 1554300022.977 * * [misc]simplify: Extracting #7: cost 1 inf + 2032 1554300022.978 * * [misc]simplify: Extracting #8: cost 0 inf + 2487 1554300022.978 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554300022.978 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300022.978 * * * * [misc]progress: [ 582 / 621 ] simplifiying candidate # 1554300022.978 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554300022.978 * * [misc]simplify: iters left: 6 (9 enodes) 1554300022.981 * * [misc]simplify: iters left: 5 (29 enodes) 1554300022.986 * * [misc]simplify: iters left: 4 (36 enodes) 1554300022.994 * * [misc]simplify: iters left: 3 (38 enodes) 1554300023.004 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.004 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300023.005 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554300023.005 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554300023.005 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554300023.005 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554300023.005 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554300023.006 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554300023.006 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.006 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554300023.006 * * [misc]simplify: iters left: 6 (11 enodes) 1554300023.012 * * [misc]simplify: iters left: 5 (40 enodes) 1554300023.026 * * [misc]simplify: iters left: 4 (48 enodes) 1554300023.034 * * [misc]simplify: iters left: 3 (57 enodes) 1554300023.042 * * [misc]simplify: iters left: 2 (58 enodes) 1554300023.050 * * [misc]simplify: iters left: 1 (60 enodes) 1554300023.061 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.061 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300023.061 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300023.061 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1554300023.061 * * [misc]simplify: Extracting #4: cost 15 inf + 168 1554300023.061 * * [misc]simplify: Extracting #5: cost 12 inf + 335 1554300023.062 * * [misc]simplify: Extracting #6: cost 4 inf + 1374 1554300023.062 * * [misc]simplify: Extracting #7: cost 1 inf + 2375 1554300023.063 * * [misc]simplify: Extracting #8: cost 0 inf + 2749 1554300023.064 * [exit]simplify: Simplified to (* (sqrt PI) (pow 2 (- 1/2 (/ k 2)))) 1554300023.064 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.064 * * * * [misc]progress: [ 583 / 621 ] simplifiying candidate # 1554300023.064 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1554300023.064 * * [misc]simplify: iters left: 6 (9 enodes) 1554300023.069 * * [misc]simplify: iters left: 5 (29 enodes) 1554300023.077 * * [misc]simplify: iters left: 4 (36 enodes) 1554300023.086 * * [misc]simplify: iters left: 3 (38 enodes) 1554300023.096 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.096 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300023.096 * * [misc]simplify: Extracting #2: cost 7 inf + 2 1554300023.096 * * [misc]simplify: Extracting #3: cost 11 inf + 3 1554300023.096 * * [misc]simplify: Extracting #4: cost 8 inf + 128 1554300023.096 * * [misc]simplify: Extracting #5: cost 4 inf + 376 1554300023.097 * * [misc]simplify: Extracting #6: cost 0 inf + 1089 1554300023.097 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554300023.097 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.097 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554300023.097 * * [misc]simplify: iters left: 6 (11 enodes) 1554300023.103 * * [misc]simplify: iters left: 5 (40 enodes) 1554300023.114 * * [misc]simplify: iters left: 4 (48 enodes) 1554300023.126 * * [misc]simplify: iters left: 3 (57 enodes) 1554300023.143 * * [misc]simplify: iters left: 2 (58 enodes) 1554300023.158 * * [misc]simplify: iters left: 1 (60 enodes) 1554300023.173 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.173 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300023.173 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300023.173 * * [misc]simplify: Extracting #3: cost 14 inf + 4 1554300023.174 * * [misc]simplify: Extracting #4: cost 15 inf + 168 1554300023.174 * * [misc]simplify: Extracting #5: cost 12 inf + 335 1554300023.174 * * [misc]simplify: Extracting #6: cost 4 inf + 1374 1554300023.175 * * [misc]simplify: Extracting #7: cost 1 inf + 2375 1554300023.176 * * [misc]simplify: Extracting #8: cost 0 inf + 2749 1554300023.176 * [exit]simplify: Simplified to (* (sqrt PI) (pow 2 (- 1/2 (/ k 2)))) 1554300023.177 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.177 * * * * [misc]progress: [ 584 / 621 ] simplifiying candidate # 1554300023.177 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300023.177 * * [misc]simplify: iters left: 6 (17 enodes) 1554300023.185 * * [misc]simplify: iters left: 5 (63 enodes) 1554300023.202 * * [misc]simplify: iters left: 4 (85 enodes) 1554300023.223 * * [misc]simplify: iters left: 3 (94 enodes) 1554300023.236 * * [misc]simplify: iters left: 2 (97 enodes) 1554300023.262 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.262 * * [misc]simplify: Extracting #1: cost 11 inf + 0 1554300023.262 * * [misc]simplify: Extracting #2: cost 22 inf + 0 1554300023.262 * * [misc]simplify: Extracting #3: cost 28 inf + 0 1554300023.262 * * [misc]simplify: Extracting #4: cost 36 inf + 1 1554300023.262 * * [misc]simplify: Extracting #5: cost 34 inf + 128 1554300023.263 * * [misc]simplify: Extracting #6: cost 24 inf + 1067 1554300023.264 * * [misc]simplify: Extracting #7: cost 10 inf + 5922 1554300023.267 * * [misc]simplify: Extracting #8: cost 0 inf + 11716 1554300023.270 * * [misc]simplify: Extracting #9: cost 0 inf + 11676 1554300023.274 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) 1554300023.274 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.275 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) 1554300023.275 * * [misc]simplify: iters left: 6 (15 enodes) 1554300023.283 * * [misc]simplify: iters left: 5 (51 enodes) 1554300023.292 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.300 * * [misc]simplify: iters left: 3 (60 enodes) 1554300023.308 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.308 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300023.308 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300023.308 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554300023.309 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554300023.309 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554300023.309 * * [misc]simplify: Extracting #6: cost 15 inf + 458 1554300023.309 * * [misc]simplify: Extracting #7: cost 5 inf + 1822 1554300023.309 * * [misc]simplify: Extracting #8: cost 0 inf + 3884 1554300023.310 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) 1554300023.310 * [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 (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.310 * * * * [misc]progress: [ 585 / 621 ] simplifiying candidate # 1554300023.310 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow PI 1/2)))) 1554300023.310 * * [misc]simplify: iters left: 6 (16 enodes) 1554300023.315 * * [misc]simplify: iters left: 5 (56 enodes) 1554300023.332 * * [misc]simplify: iters left: 4 (67 enodes) 1554300023.351 * * [misc]simplify: iters left: 3 (72 enodes) 1554300023.370 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.370 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300023.370 * * [misc]simplify: Extracting #2: cost 14 inf + 0 1554300023.370 * * [misc]simplify: Extracting #3: cost 20 inf + 0 1554300023.370 * * [misc]simplify: Extracting #4: cost 28 inf + 1 1554300023.370 * * [misc]simplify: Extracting #5: cost 26 inf + 128 1554300023.370 * * [misc]simplify: Extracting #6: cost 19 inf + 622 1554300023.370 * * [misc]simplify: Extracting #7: cost 7 inf + 3561 1554300023.371 * * [misc]simplify: Extracting #8: cost 0 inf + 7016 1554300023.372 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) 1554300023.372 * [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 (/ 1 (sqrt PI))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.372 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) 1554300023.372 * * [misc]simplify: iters left: 6 (15 enodes) 1554300023.376 * * [misc]simplify: iters left: 5 (51 enodes) 1554300023.384 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.395 * * [misc]simplify: iters left: 3 (60 enodes) 1554300023.410 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.411 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300023.411 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300023.411 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554300023.411 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554300023.411 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554300023.411 * * [misc]simplify: Extracting #6: cost 15 inf + 418 1554300023.412 * * [misc]simplify: Extracting #7: cost 5 inf + 1742 1554300023.413 * * [misc]simplify: Extracting #8: cost 0 inf + 3724 1554300023.414 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554300023.414 * [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 (/ 1 (pow PI 1/2)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.414 * * * * [misc]progress: [ 586 / 621 ] simplifiying candidate # 1554300023.414 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554300023.414 * * [misc]simplify: iters left: 6 (12 enodes) 1554300023.421 * * [misc]simplify: iters left: 5 (41 enodes) 1554300023.430 * * [misc]simplify: iters left: 4 (56 enodes) 1554300023.438 * * [misc]simplify: iters left: 3 (59 enodes) 1554300023.445 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.446 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300023.446 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554300023.446 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554300023.446 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554300023.446 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554300023.446 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554300023.446 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554300023.446 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554300023.447 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554300023.447 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300023.447 * [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)))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.448 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554300023.448 * * [misc]simplify: iters left: 6 (14 enodes) 1554300023.451 * * [misc]simplify: iters left: 5 (50 enodes) 1554300023.466 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.485 * * [misc]simplify: iters left: 3 (67 enodes) 1554300023.502 * * [misc]simplify: iters left: 2 (68 enodes) 1554300023.523 * * [misc]simplify: iters left: 1 (70 enodes) 1554300023.541 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.541 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300023.541 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300023.541 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554300023.541 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554300023.542 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554300023.542 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554300023.542 * * [misc]simplify: Extracting #7: cost 4 inf + 2409 1554300023.543 * * [misc]simplify: Extracting #8: cost 1 inf + 3773 1554300023.545 * * [misc]simplify: Extracting #9: cost 0 inf + 4228 1554300023.546 * [exit]simplify: Simplified to (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300023.546 * [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 PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.546 * * * * [misc]progress: [ 587 / 621 ] simplifiying candidate # 1554300023.546 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1554300023.546 * * [misc]simplify: iters left: 6 (12 enodes) 1554300023.553 * * [misc]simplify: iters left: 5 (41 enodes) 1554300023.566 * * [misc]simplify: iters left: 4 (56 enodes) 1554300023.582 * * [misc]simplify: iters left: 3 (59 enodes) 1554300023.598 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.598 * * [misc]simplify: Extracting #1: cost 5 inf + 0 1554300023.598 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554300023.598 * * [misc]simplify: Extracting #3: cost 10 inf + 1 1554300023.599 * * [misc]simplify: Extracting #4: cost 17 inf + 1 1554300023.599 * * [misc]simplify: Extracting #5: cost 18 inf + 4 1554300023.599 * * [misc]simplify: Extracting #6: cost 13 inf + 214 1554300023.599 * * [misc]simplify: Extracting #7: cost 7 inf + 1171 1554300023.600 * * [misc]simplify: Extracting #8: cost 2 inf + 2990 1554300023.601 * * [misc]simplify: Extracting #9: cost 0 inf + 3899 1554300023.602 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300023.602 * [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)))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.602 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554300023.603 * * [misc]simplify: iters left: 6 (14 enodes) 1554300023.610 * * [misc]simplify: iters left: 5 (50 enodes) 1554300023.626 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.643 * * [misc]simplify: iters left: 3 (67 enodes) 1554300023.660 * * [misc]simplify: iters left: 2 (68 enodes) 1554300023.679 * * [misc]simplify: iters left: 1 (70 enodes) 1554300023.697 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.698 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300023.698 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300023.698 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554300023.698 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554300023.698 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554300023.699 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554300023.699 * * [misc]simplify: Extracting #7: cost 4 inf + 2409 1554300023.701 * * [misc]simplify: Extracting #8: cost 1 inf + 3773 1554300023.702 * * [misc]simplify: Extracting #9: cost 0 inf + 4228 1554300023.703 * [exit]simplify: Simplified to (* (sqrt PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300023.703 * [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 PI) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.703 * * * * [misc]progress: [ 588 / 621 ] simplifiying candidate # 1554300023.704 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300023.704 * * [misc]simplify: iters left: 6 (16 enodes) 1554300023.712 * * [misc]simplify: iters left: 5 (56 enodes) 1554300023.728 * * [misc]simplify: iters left: 4 (65 enodes) 1554300023.746 * * [misc]simplify: iters left: 3 (67 enodes) 1554300023.758 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.758 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300023.758 * * [misc]simplify: Extracting #2: cost 12 inf + 0 1554300023.758 * * [misc]simplify: Extracting #3: cost 18 inf + 0 1554300023.758 * * [misc]simplify: Extracting #4: cost 26 inf + 1 1554300023.759 * * [misc]simplify: Extracting #5: cost 22 inf + 331 1554300023.759 * * [misc]simplify: Extracting #6: cost 15 inf + 1106 1554300023.759 * * [misc]simplify: Extracting #7: cost 5 inf + 2894 1554300023.760 * * [misc]simplify: Extracting #8: cost 0 inf + 5360 1554300023.760 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) 1554300023.760 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (sqrt PI))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.761 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (pow PI 1/2)))) 1554300023.761 * * [misc]simplify: iters left: 6 (15 enodes) 1554300023.765 * * [misc]simplify: iters left: 5 (51 enodes) 1554300023.773 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.783 * * [misc]simplify: iters left: 3 (60 enodes) 1554300023.799 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.799 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300023.799 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300023.799 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554300023.799 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554300023.800 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554300023.800 * * [misc]simplify: Extracting #6: cost 15 inf + 458 1554300023.800 * * [misc]simplify: Extracting #7: cost 5 inf + 1782 1554300023.803 * * [misc]simplify: Extracting #8: cost 0 inf + 3724 1554300023.804 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI)))) 1554300023.804 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.804 * * * * [misc]progress: [ 589 / 621 ] simplifiying candidate # 1554300023.804 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) 1554300023.804 * * [misc]simplify: iters left: 6 (15 enodes) 1554300023.812 * * [misc]simplify: iters left: 5 (51 enodes) 1554300023.827 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.843 * * [misc]simplify: iters left: 3 (60 enodes) 1554300023.859 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.859 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300023.859 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300023.859 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554300023.859 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554300023.859 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554300023.859 * * [misc]simplify: Extracting #6: cost 15 inf + 418 1554300023.859 * * [misc]simplify: Extracting #7: cost 5 inf + 1702 1554300023.860 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 1554300023.860 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554300023.860 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.861 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) 1554300023.861 * * [misc]simplify: iters left: 6 (15 enodes) 1554300023.865 * * [misc]simplify: iters left: 5 (51 enodes) 1554300023.872 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.880 * * [misc]simplify: iters left: 3 (60 enodes) 1554300023.888 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.888 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300023.888 * * [misc]simplify: Extracting #2: cost 8 inf + 0 1554300023.888 * * [misc]simplify: Extracting #3: cost 14 inf + 0 1554300023.888 * * [misc]simplify: Extracting #4: cost 22 inf + 1 1554300023.888 * * [misc]simplify: Extracting #5: cost 21 inf + 46 1554300023.888 * * [misc]simplify: Extracting #6: cost 15 inf + 418 1554300023.889 * * [misc]simplify: Extracting #7: cost 5 inf + 1702 1554300023.890 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 1554300023.891 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI)))) 1554300023.891 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (pow PI 1/2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.891 * * * * [misc]progress: [ 590 / 621 ] simplifiying candidate # 1554300023.891 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554300023.891 * * [misc]simplify: iters left: 6 (11 enodes) 1554300023.897 * * [misc]simplify: iters left: 5 (36 enodes) 1554300023.908 * * [misc]simplify: iters left: 4 (43 enodes) 1554300023.920 * * [misc]simplify: iters left: 3 (45 enodes) 1554300023.934 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.934 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300023.934 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300023.934 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554300023.934 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554300023.934 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554300023.935 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554300023.935 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554300023.936 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554300023.936 * [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)))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.936 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554300023.936 * * [misc]simplify: iters left: 6 (14 enodes) 1554300023.944 * * [misc]simplify: iters left: 5 (50 enodes) 1554300023.954 * * [misc]simplify: iters left: 4 (58 enodes) 1554300023.963 * * [misc]simplify: iters left: 3 (67 enodes) 1554300023.972 * * [misc]simplify: iters left: 2 (68 enodes) 1554300023.982 * * [misc]simplify: iters left: 1 (70 enodes) 1554300023.991 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300023.991 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300023.991 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300023.991 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554300023.991 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554300023.991 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554300023.991 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554300023.992 * * [misc]simplify: Extracting #7: cost 4 inf + 2329 1554300023.992 * * [misc]simplify: Extracting #8: cost 1 inf + 3573 1554300023.993 * * [misc]simplify: Extracting #9: cost 0 inf + 3988 1554300023.994 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300023.994 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300023.994 * * * * [misc]progress: [ 591 / 621 ] simplifiying candidate # 1554300023.994 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1554300023.994 * * [misc]simplify: iters left: 6 (11 enodes) 1554300023.997 * * [misc]simplify: iters left: 5 (36 enodes) 1554300024.003 * * [misc]simplify: iters left: 4 (43 enodes) 1554300024.010 * * [misc]simplify: iters left: 3 (45 enodes) 1554300024.016 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.016 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.017 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300024.017 * * [misc]simplify: Extracting #3: cost 13 inf + 1 1554300024.017 * * [misc]simplify: Extracting #4: cost 14 inf + 4 1554300024.017 * * [misc]simplify: Extracting #5: cost 10 inf + 212 1554300024.017 * * [misc]simplify: Extracting #6: cost 3 inf + 919 1554300024.017 * * [misc]simplify: Extracting #7: cost 0 inf + 2001 1554300024.018 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554300024.018 * [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)))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.018 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (pow PI 1/2))) 1554300024.018 * * [misc]simplify: iters left: 6 (14 enodes) 1554300024.023 * * [misc]simplify: iters left: 5 (50 enodes) 1554300024.030 * * [misc]simplify: iters left: 4 (58 enodes) 1554300024.039 * * [misc]simplify: iters left: 3 (67 enodes) 1554300024.048 * * [misc]simplify: iters left: 2 (68 enodes) 1554300024.057 * * [misc]simplify: iters left: 1 (70 enodes) 1554300024.066 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.066 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300024.066 * * [misc]simplify: Extracting #2: cost 13 inf + 1 1554300024.066 * * [misc]simplify: Extracting #3: cost 14 inf + 3 1554300024.066 * * [misc]simplify: Extracting #4: cost 16 inf + 249 1554300024.066 * * [misc]simplify: Extracting #5: cost 18 inf + 251 1554300024.066 * * [misc]simplify: Extracting #6: cost 14 inf + 419 1554300024.067 * * [misc]simplify: Extracting #7: cost 4 inf + 2329 1554300024.067 * * [misc]simplify: Extracting #8: cost 1 inf + 3573 1554300024.068 * * [misc]simplify: Extracting #9: cost 0 inf + 3988 1554300024.068 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300024.068 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.068 * * * * [misc]progress: [ 592 / 621 ] simplifiying candidate # 1554300024.069 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) 1554300024.069 * * [misc]simplify: iters left: 6 (8 enodes) 1554300024.071 * * [misc]simplify: iters left: 5 (29 enodes) 1554300024.076 * * [misc]simplify: iters left: 4 (33 enodes) 1554300024.081 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.081 * * [misc]simplify: Extracting #1: cost 6 inf + 0 1554300024.081 * * [misc]simplify: Extracting #2: cost 9 inf + 1 1554300024.081 * * [misc]simplify: Extracting #3: cost 11 inf + 1 1554300024.081 * * [misc]simplify: Extracting #4: cost 14 inf + 1 1554300024.081 * * [misc]simplify: Extracting #5: cost 11 inf + 44 1554300024.082 * * [misc]simplify: Extracting #6: cost 7 inf + 531 1554300024.082 * * [misc]simplify: Extracting #7: cost 1 inf + 1623 1554300024.082 * * [misc]simplify: Extracting #8: cost 0 inf + 1865 1554300024.082 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) 1554300024.082 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (/ 1 (sqrt PI)))) (cbrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.083 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (pow PI 1/2)))) 1554300024.083 * * [misc]simplify: iters left: 6 (14 enodes) 1554300024.086 * * [misc]simplify: iters left: 5 (48 enodes) 1554300024.093 * * [misc]simplify: iters left: 4 (55 enodes) 1554300024.111 * * [misc]simplify: iters left: 3 (57 enodes) 1554300024.126 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.126 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.126 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300024.127 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554300024.127 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554300024.127 * * [misc]simplify: Extracting #5: cost 17 inf + 132 1554300024.127 * * [misc]simplify: Extracting #6: cost 4 inf + 1862 1554300024.128 * * [misc]simplify: Extracting #7: cost 0 inf + 2896 1554300024.129 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI)))) 1554300024.129 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.129 * * * * [misc]progress: [ 593 / 621 ] simplifiying candidate # 1554300024.129 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow PI 1/2)))) 1554300024.129 * * [misc]simplify: iters left: 6 (7 enodes) 1554300024.133 * * [misc]simplify: iters left: 5 (24 enodes) 1554300024.140 * * [misc]simplify: iters left: 4 (26 enodes) 1554300024.148 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.148 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.148 * * [misc]simplify: Extracting #2: cost 5 inf + 1 1554300024.148 * * [misc]simplify: Extracting #3: cost 7 inf + 1 1554300024.149 * * [misc]simplify: Extracting #4: cost 10 inf + 1 1554300024.149 * * [misc]simplify: Extracting #5: cost 8 inf + 3 1554300024.149 * * [misc]simplify: Extracting #6: cost 2 inf + 613 1554300024.149 * * [misc]simplify: Extracting #7: cost 0 inf + 817 1554300024.149 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt PI)))) 1554300024.149 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (/ 1 (sqrt PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.150 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) 1554300024.150 * * [misc]simplify: iters left: 6 (14 enodes) 1554300024.157 * * [misc]simplify: iters left: 5 (48 enodes) 1554300024.171 * * [misc]simplify: iters left: 4 (55 enodes) 1554300024.186 * * [misc]simplify: iters left: 3 (57 enodes) 1554300024.202 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.202 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.202 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300024.202 * * [misc]simplify: Extracting #3: cost 19 inf + 0 1554300024.202 * * [misc]simplify: Extracting #4: cost 21 inf + 4 1554300024.203 * * [misc]simplify: Extracting #5: cost 17 inf + 132 1554300024.203 * * [misc]simplify: Extracting #6: cost 4 inf + 1742 1554300024.204 * * [misc]simplify: Extracting #7: cost 0 inf + 2736 1554300024.205 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI)))) 1554300024.205 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (/ 1 (pow PI 1/2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt PI))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.205 * * * * [misc]progress: [ 594 / 621 ] simplifiying candidate # 1554300024.205 * [enter]simplify: Simplifying (/ 1 1) 1554300024.205 * * [misc]simplify: iters left: 2 (2 enodes) 1554300024.207 * * [misc]simplify: iters left: 1 (6 enodes) 1554300024.209 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.209 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300024.209 * [exit]simplify: Simplified to 1 1554300024.209 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.210 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554300024.210 * * [misc]simplify: iters left: 6 (13 enodes) 1554300024.216 * * [misc]simplify: iters left: 5 (47 enodes) 1554300024.227 * * [misc]simplify: iters left: 4 (55 enodes) 1554300024.235 * * [misc]simplify: iters left: 3 (64 enodes) 1554300024.243 * * [misc]simplify: iters left: 2 (65 enodes) 1554300024.253 * * [misc]simplify: iters left: 1 (67 enodes) 1554300024.261 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.261 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300024.262 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300024.262 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554300024.262 * * [misc]simplify: Extracting #4: cost 17 inf + 169 1554300024.262 * * [misc]simplify: Extracting #5: cost 12 inf + 419 1554300024.262 * * [misc]simplify: Extracting #6: cost 2 inf + 2290 1554300024.263 * * [misc]simplify: Extracting #7: cost 0 inf + 3080 1554300024.263 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) 1554300024.263 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.263 * * * * [misc]progress: [ 595 / 621 ] simplifiying candidate # 1554300024.263 * [enter]simplify: Simplifying (/ 1 1) 1554300024.263 * * [misc]simplify: iters left: 2 (2 enodes) 1554300024.264 * * [misc]simplify: iters left: 1 (6 enodes) 1554300024.265 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.265 * * [misc]simplify: Extracting #1: cost 0 inf + 1 1554300024.265 * [exit]simplify: Simplified to 1 1554300024.265 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.266 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))) 1554300024.266 * * [misc]simplify: iters left: 6 (13 enodes) 1554300024.269 * * [misc]simplify: iters left: 5 (47 enodes) 1554300024.279 * * [misc]simplify: iters left: 4 (55 enodes) 1554300024.295 * * [misc]simplify: iters left: 3 (64 enodes) 1554300024.312 * * [misc]simplify: iters left: 2 (65 enodes) 1554300024.330 * * [misc]simplify: iters left: 1 (67 enodes) 1554300024.341 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.341 * * [misc]simplify: Extracting #1: cost 7 inf + 0 1554300024.341 * * [misc]simplify: Extracting #2: cost 14 inf + 1 1554300024.341 * * [misc]simplify: Extracting #3: cost 18 inf + 3 1554300024.341 * * [misc]simplify: Extracting #4: cost 17 inf + 169 1554300024.341 * * [misc]simplify: Extracting #5: cost 12 inf + 419 1554300024.341 * * [misc]simplify: Extracting #6: cost 2 inf + 2290 1554300024.342 * * [misc]simplify: Extracting #7: cost 0 inf + 3080 1554300024.342 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) 1554300024.342 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.342 * * * * [misc]progress: [ 596 / 621 ] simplifiying candidate # 1554300024.343 * * * * [misc]progress: [ 597 / 621 ] simplifiying candidate # 1554300024.343 * * * * [misc]progress: [ 598 / 621 ] simplifiying candidate # 1554300024.343 * * * * [misc]progress: [ 599 / 621 ] simplifiying candidate # 1554300024.343 * [enter]simplify: Simplifying (cbrt (/ 1 (pow PI 1/2))) 1554300024.343 * * [misc]simplify: iters left: 4 (6 enodes) 1554300024.345 * * [misc]simplify: iters left: 3 (21 enodes) 1554300024.348 * * [misc]simplify: iters left: 2 (23 enodes) 1554300024.352 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.352 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300024.352 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554300024.352 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554300024.352 * * [misc]simplify: Extracting #4: cost 1 inf + 411 1554300024.352 * * [misc]simplify: Extracting #5: cost 0 inf + 573 1554300024.352 * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt PI))) 1554300024.352 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ 1 (pow PI 1/2))) (cbrt (/ 1 (pow PI 1/2))))) (cbrt (/ 1 (sqrt PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.352 * * * * [misc]progress: [ 600 / 621 ] simplifiying candidate # 1554300024.353 * [enter]simplify: Simplifying (sqrt (/ 1 (pow PI 1/2))) 1554300024.353 * * [misc]simplify: iters left: 4 (6 enodes) 1554300024.354 * * [misc]simplify: iters left: 3 (21 enodes) 1554300024.359 * * [misc]simplify: iters left: 2 (23 enodes) 1554300024.362 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.362 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300024.362 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554300024.362 * * [misc]simplify: Extracting #3: cost 8 inf + 1 1554300024.362 * * [misc]simplify: Extracting #4: cost 1 inf + 371 1554300024.362 * * [misc]simplify: Extracting #5: cost 0 inf + 493 1554300024.363 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt PI))) 1554300024.363 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ 1 (pow PI 1/2)))) (sqrt (/ 1 (sqrt PI)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.363 * * * * [misc]progress: [ 601 / 621 ] simplifiying candidate # 1554300024.363 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1554300024.363 * * [misc]simplify: iters left: 3 (5 enodes) 1554300024.364 * * [misc]simplify: iters left: 2 (18 enodes) 1554300024.367 * * [misc]simplify: iters left: 1 (20 enodes) 1554300024.371 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.371 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.371 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300024.371 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554300024.371 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1554300024.371 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.371 * * * * [misc]progress: [ 602 / 621 ] simplifiying candidate # 1554300024.371 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1554300024.371 * * [misc]simplify: iters left: 3 (5 enodes) 1554300024.373 * * [misc]simplify: iters left: 2 (18 enodes) 1554300024.376 * * [misc]simplify: iters left: 1 (20 enodes) 1554300024.379 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.379 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.379 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300024.379 * * [misc]simplify: Extracting #3: cost 0 inf + 249 1554300024.379 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1554300024.379 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ 1 (sqrt PI))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.379 * * * * [misc]progress: [ 603 / 621 ] simplifiying candidate # 1554300024.380 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554300024.380 * * [misc]simplify: iters left: 3 (5 enodes) 1554300024.381 * * [misc]simplify: iters left: 2 (17 enodes) 1554300024.384 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.384 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.384 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300024.384 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554300024.384 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554300024.384 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300024.384 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (/ (/ 1 (pow PI 1/2)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.384 * * * * [misc]progress: [ 604 / 621 ] simplifiying candidate # 1554300024.384 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554300024.384 * * [misc]simplify: iters left: 3 (5 enodes) 1554300024.386 * * [misc]simplify: iters left: 2 (17 enodes) 1554300024.389 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.389 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.389 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300024.389 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554300024.389 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554300024.389 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300024.389 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (/ (/ 1 (pow PI 1/2)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.389 * * * * [misc]progress: [ 605 / 621 ] simplifiying candidate # 1554300024.389 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1554300024.390 * * [misc]simplify: iters left: 5 (7 enodes) 1554300024.391 * * [misc]simplify: iters left: 4 (23 enodes) 1554300024.395 * * [misc]simplify: iters left: 3 (28 enodes) 1554300024.399 * * [misc]simplify: iters left: 2 (30 enodes) 1554300024.404 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.404 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.404 * * [misc]simplify: Extracting #2: cost 7 inf + 1 1554300024.404 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300024.404 * * [misc]simplify: Extracting #4: cost 8 inf + 127 1554300024.404 * * [misc]simplify: Extracting #5: cost 3 inf + 417 1554300024.404 * * [misc]simplify: Extracting #6: cost 1 inf + 794 1554300024.404 * * [misc]simplify: Extracting #7: cost 0 inf + 1088 1554300024.405 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1554300024.405 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (/ (/ 1 (pow PI 1/2)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.405 * * * * [misc]progress: [ 606 / 621 ] simplifiying candidate # 1554300024.405 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300024.405 * * [misc]simplify: iters left: 6 (10 enodes) 1554300024.411 * * [misc]simplify: iters left: 5 (33 enodes) 1554300024.421 * * [misc]simplify: iters left: 4 (38 enodes) 1554300024.432 * * [misc]simplify: iters left: 3 (40 enodes) 1554300024.444 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.444 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300024.444 * * [misc]simplify: Extracting #2: cost 5 inf + 0 1554300024.444 * * [misc]simplify: Extracting #3: cost 8 inf + 0 1554300024.444 * * [misc]simplify: Extracting #4: cost 15 inf + 0 1554300024.444 * * [misc]simplify: Extracting #5: cost 16 inf + 3 1554300024.444 * * [misc]simplify: Extracting #6: cost 12 inf + 171 1554300024.445 * * [misc]simplify: Extracting #7: cost 4 inf + 1252 1554300024.445 * * [misc]simplify: Extracting #8: cost 0 inf + 2988 1554300024.446 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1554300024.446 * [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))))) (/ (/ 1 (pow PI 1/2)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.446 * * * * [misc]progress: [ 607 / 621 ] simplifiying candidate # 1554300024.447 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554300024.447 * * [misc]simplify: iters left: 6 (9 enodes) 1554300024.452 * * [misc]simplify: iters left: 5 (30 enodes) 1554300024.462 * * [misc]simplify: iters left: 4 (35 enodes) 1554300024.472 * * [misc]simplify: iters left: 3 (37 enodes) 1554300024.485 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.485 * * [misc]simplify: Extracting #1: cost 3 inf + 0 1554300024.485 * * [misc]simplify: Extracting #2: cost 6 inf + 0 1554300024.485 * * [misc]simplify: Extracting #3: cost 13 inf + 0 1554300024.485 * * [misc]simplify: Extracting #4: cost 14 inf + 3 1554300024.485 * * [misc]simplify: Extracting #5: cost 9 inf + 253 1554300024.485 * * [misc]simplify: Extracting #6: cost 4 inf + 835 1554300024.486 * * [misc]simplify: Extracting #7: cost 0 inf + 2000 1554300024.487 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1554300024.487 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (/ 1 (pow PI 1/2)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.487 * * * * [misc]progress: [ 608 / 621 ] simplifiying candidate # 1554300024.487 * * * * [misc]progress: [ 609 / 621 ] simplifiying candidate # 1554300024.488 * [enter]simplify: Simplifying (pow PI 1/2) 1554300024.488 * * [misc]simplify: iters left: 1 (3 enodes) 1554300024.490 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.490 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.490 * * [misc]simplify: Extracting #2: cost 2 inf + 2 1554300024.490 * * [misc]simplify: Extracting #3: cost 0 inf + 84 1554300024.490 * [exit]simplify: Simplified to (sqrt PI) 1554300024.490 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt PI)) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.490 * * * * [misc]progress: [ 610 / 621 ] simplifiying candidate # 1554300024.490 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1554300024.491 * * [misc]simplify: iters left: 3 (5 enodes) 1554300024.494 * * [misc]simplify: iters left: 2 (17 enodes) 1554300024.499 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.499 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.499 * * [misc]simplify: Extracting #2: cost 6 inf + 1 1554300024.499 * * [misc]simplify: Extracting #3: cost 4 inf + 3 1554300024.499 * * [misc]simplify: Extracting #4: cost 0 inf + 251 1554300024.499 * [exit]simplify: Simplified to (sqrt (* n 2)) 1554300024.499 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* n 2)) (* (/ 1 (pow PI 1/2)) (pow (* n 2) (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300024.500 * * * * [misc]progress: [ 611 / 621 ] simplifiying candidate #real (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (pow PI 1/2))))) (/ (sqrt k) (pow PI (- (/ k 2))))))> 1554300024.500 * * * * [misc]progress: [ 612 / 621 ] simplifiying candidate # 1554300024.500 * [enter]simplify: Simplifying (/ (sqrt k) (pow PI (- (/ k 2)))) 1554300024.500 * * [misc]simplify: iters left: 6 (8 enodes) 1554300024.504 * * [misc]simplify: iters left: 5 (26 enodes) 1554300024.511 * * [misc]simplify: iters left: 4 (28 enodes) 1554300024.518 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.519 * * [misc]simplify: Extracting #1: cost 4 inf + 0 1554300024.519 * * [misc]simplify: Extracting #2: cost 9 inf + 0 1554300024.519 * * [misc]simplify: Extracting #3: cost 11 inf + 2 1554300024.519 * * [misc]simplify: Extracting #4: cost 9 inf + 167 1554300024.519 * * [misc]simplify: Extracting #5: cost 1 inf + 1374 1554300024.519 * * [misc]simplify: Extracting #6: cost 0 inf + 1747 1554300024.520 * [exit]simplify: Simplified to (/ (sqrt k) (pow PI (/ (- k) 2))) 1554300024.520 * [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))))) 1554300024.520 * * * * [misc]progress: [ 613 / 621 ] simplifiying candidate # 1554300024.520 * [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))))) 1554300024.521 * * [misc]simplify: iters left: 6 (35 enodes) 1554300024.540 * * [misc]simplify: iters left: 5 (169 enodes) 1554300024.578 * * [misc]simplify: iters left: 4 (409 enodes) 1554300024.764 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300024.764 * * [misc]simplify: Extracting #1: cost 57 inf + 0 1554300024.766 * * [misc]simplify: Extracting #2: cost 261 inf + 0 1554300024.768 * * [misc]simplify: Extracting #3: cost 383 inf + 200 1554300024.785 * * [misc]simplify: Extracting #4: cost 245 inf + 50540 1554300024.858 * * [misc]simplify: Extracting #5: cost 29 inf + 152241 1554300024.903 * * [misc]simplify: Extracting #6: cost 0 inf + 166465 1554300024.976 * * [misc]simplify: Extracting #7: cost 0 inf + 163415 1554300025.052 * * [misc]simplify: Extracting #8: cost 0 inf + 162855 1554300025.110 * [exit]simplify: Simplified to (+ (+ (+ (sqrt (exp (+ (log 2) (log n)))) (* (* (* 1/4 (* k k)) (* (sqrt (exp (+ (log 2) (log n)))) (log n))) (log 2))) (* (* (* k k) 1/8) (+ (* (* (log 2) (log 2)) (sqrt (exp (+ (log 2) (log n))))) (* (* (log n) (log n)) (sqrt (exp (+ (log 2) (log n)))))))) (* -1/2 (* (* (sqrt (exp (+ (log 2) (log n)))) k) (+ (log 2) (log n))))) 1554300025.110 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (+ (+ (+ (sqrt (exp (+ (log 2) (log n)))) (* (* (* 1/4 (* k k)) (* (sqrt (exp (+ (log 2) (log n)))) (log n))) (log 2))) (* (* (* k k) 1/8) (+ (* (* (log 2) (log 2)) (sqrt (exp (+ (log 2) (log n))))) (* (* (log n) (log n)) (sqrt (exp (+ (log 2) (log n)))))))) (* -1/2 (* (* (sqrt (exp (+ (log 2) (log n)))) k) (+ (log 2) (log n))))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300025.110 * * * * [misc]progress: [ 614 / 621 ] simplifiying candidate # 1554300025.111 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1554300025.111 * * [misc]simplify: iters left: 6 (13 enodes) 1554300025.115 * * [misc]simplify: iters left: 5 (53 enodes) 1554300025.124 * * [misc]simplify: iters left: 4 (89 enodes) 1554300025.145 * * [misc]simplify: iters left: 3 (178 enodes) 1554300025.201 * * [misc]simplify: iters left: 2 (477 enodes) 1554300025.444 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300025.444 * * [misc]simplify: Extracting #1: cost 48 inf + 0 1554300025.445 * * [misc]simplify: Extracting #2: cost 187 inf + 72 1554300025.446 * * [misc]simplify: Extracting #3: cost 251 inf + 2286 1554300025.457 * * [misc]simplify: Extracting #4: cost 100 inf + 39820 1554300025.480 * * [misc]simplify: Extracting #5: cost 12 inf + 61963 1554300025.505 * * [misc]simplify: Extracting #6: cost 0 inf + 65257 1554300025.521 * * [misc]simplify: Extracting #7: cost 0 inf + 65218 1554300025.533 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (pow (sqrt (* n 2)) k)) 1554300025.533 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (/ (sqrt (* n 2)) (pow (sqrt (* n 2)) k)) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300025.534 * * * * [misc]progress: [ 615 / 621 ] simplifiying candidate # 1554300025.534 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1554300025.534 * * [misc]simplify: iters left: 6 (13 enodes) 1554300025.538 * * [misc]simplify: iters left: 5 (50 enodes) 1554300025.551 * * [misc]simplify: iters left: 4 (92 enodes) 1554300025.583 * * [misc]simplify: iters left: 3 (222 enodes) 1554300025.666 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300025.666 * * [misc]simplify: Extracting #1: cost 16 inf + 0 1554300025.666 * * [misc]simplify: Extracting #2: cost 101 inf + 0 1554300025.667 * * [misc]simplify: Extracting #3: cost 191 inf + 370 1554300025.672 * * [misc]simplify: Extracting #4: cost 156 inf + 5018 1554300025.680 * * [misc]simplify: Extracting #5: cost 63 inf + 25421 1554300025.693 * * [misc]simplify: Extracting #6: cost 4 inf + 42940 1554300025.709 * * [misc]simplify: Extracting #7: cost 0 inf + 42818 1554300025.725 * * [misc]simplify: Extracting #8: cost 0 inf + 42748 1554300025.738 * [exit]simplify: Simplified to (pow (/ -2 (/ -1 n)) (- 1/2 (* 1/2 k))) 1554300025.739 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (/ -2 (/ -1 n)) (- 1/2 (* 1/2 k))) (/ 1 (pow PI 1/2))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300025.739 * * * * [misc]progress: [ 616 / 621 ] simplifiying candidate # 1554300025.739 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (* PI (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI k)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) k)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 3) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* PI (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (pow k 2)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (pow PI 2) (pow k 2)))))))))))))))))))))))))))))))))) 1554300025.739 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554300025.740 * * * * [misc]progress: [ 617 / 621 ] simplifiying candidate # 1554300025.740 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow PI 3) (* (exp (* -1/2 (* (log PI) k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) (pow k 3))) (- (+ (* +nan.0 (/ (* PI (* (exp (* -1/2 (* (log PI) k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) k)) (- (* +nan.0 (/ (* (pow PI 2) (* (exp (* -1/2 (* (log PI) k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))))) (pow k 2)))))))) 1554300025.740 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554300025.740 * * * * [misc]progress: [ 618 / 621 ] simplifiying candidate # 1554300025.740 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt PI) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* -1/2 (* (log PI) k)))) k))) (- (+ (* +nan.0 (* (sqrt PI) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* -1/2 (* (log PI) k)))) (pow k 2)))) (- (* +nan.0 (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (exp (* -1/2 (* (log PI) k)))) (sqrt PI)))))))) 1554300025.740 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1554300025.740 * * * * [misc]progress: [ 619 / 621 ] simplifiying candidate # 1554300025.741 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI)))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))) 1554300025.741 * * [misc]simplify: iters left: 6 (43 enodes) 1554300025.753 * * [misc]simplify: iters left: 5 (210 enodes) 1554300025.818 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300025.818 * * [misc]simplify: Extracting #1: cost 18 inf + 0 1554300025.819 * * [misc]simplify: Extracting #2: cost 82 inf + 0 1554300025.819 * * [misc]simplify: Extracting #3: cost 158 inf + 3 1554300025.821 * * [misc]simplify: Extracting #4: cost 191 inf + 1055 1554300025.826 * * [misc]simplify: Extracting #5: cost 132 inf + 17314 1554300025.845 * * [misc]simplify: Extracting #6: cost 36 inf + 64442 1554300025.878 * * [misc]simplify: Extracting #7: cost 0 inf + 91465 1554300025.907 * * [misc]simplify: Extracting #8: cost 0 inf + 91101 1554300025.924 * [exit]simplify: Simplified to (- (+ (* 1/8 (+ (* (* (* (* k k) (* (log n) (log n))) (exp (* (+ (log 2) (log n)) 1/2))) (sqrt PI)) (* (* (exp (* (+ (log 2) (log n)) 1/2)) (* (* k k) (sqrt PI))) (* (log 2) (log 2))))) (+ (* (* 1/4 (log 2)) (* (* (log n) (* k k)) (* (sqrt PI) (exp (* (+ (log 2) (log n)) 1/2))))) (* (sqrt PI) (exp (* (+ (log 2) (log n)) 1/2))))) (* 1/2 (* (sqrt PI) (+ (* (* (log 2) k) (exp (* (+ (log 2) (log n)) 1/2))) (* (* (exp (* (+ (log 2) (log n)) 1/2)) (log n)) k))))) 1554300025.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (- (+ (* 1/8 (+ (* (* (* (* k k) (* (log n) (log n))) (exp (* (+ (log 2) (log n)) 1/2))) (sqrt PI)) (* (* (exp (* (+ (log 2) (log n)) 1/2)) (* (* k k) (sqrt PI))) (* (log 2) (log 2))))) (+ (* (* 1/4 (log 2)) (* (* (log n) (* k k)) (* (sqrt PI) (exp (* (+ (log 2) (log n)) 1/2))))) (* (sqrt PI) (exp (* (+ (log 2) (log n)) 1/2))))) (* 1/2 (* (sqrt PI) (+ (* (* (log 2) k) (exp (* (+ (log 2) (log n)) 1/2))) (* (* (exp (* (+ (log 2) (log n)) 1/2)) (log n)) k))))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300025.925 * * * * [misc]progress: [ 620 / 621 ] simplifiying candidate # 1554300025.925 * [enter]simplify: Simplifying (* (sqrt PI) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) 1554300025.925 * * [misc]simplify: iters left: 6 (16 enodes) 1554300025.933 * * [misc]simplify: iters left: 5 (63 enodes) 1554300025.952 * * [misc]simplify: iters left: 4 (99 enodes) 1554300025.976 * * [misc]simplify: iters left: 3 (188 enodes) 1554300026.024 * * [misc]simplify: iters left: 2 (495 enodes) 1554300026.213 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300026.213 * * [misc]simplify: Extracting #1: cost 23 inf + 0 1554300026.214 * * [misc]simplify: Extracting #2: cost 162 inf + 0 1554300026.214 * * [misc]simplify: Extracting #3: cost 255 inf + 2374 1554300026.219 * * [misc]simplify: Extracting #4: cost 168 inf + 31010 1554300026.232 * * [misc]simplify: Extracting #5: cost 8 inf + 74788 1554300026.259 * * [misc]simplify: Extracting #6: cost 0 inf + 74824 1554300026.289 * * [misc]simplify: Extracting #7: cost 0 inf + 74360 1554300026.303 * * [misc]simplify: Extracting #8: cost 0 inf + 74359 1554300026.317 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (* 2 n)) (pow (sqrt (* 2 n)) k))) 1554300026.317 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (/ (sqrt (* 2 n)) (pow (sqrt (* 2 n)) k))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300026.317 * * * * [misc]progress: [ 621 / 621 ] simplifiying candidate # 1554300026.317 * [enter]simplify: Simplifying (* (sqrt PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) 1554300026.317 * * [misc]simplify: iters left: 6 (16 enodes) 1554300026.323 * * [misc]simplify: iters left: 5 (60 enodes) 1554300026.334 * * [misc]simplify: iters left: 4 (102 enodes) 1554300026.357 * * [misc]simplify: iters left: 3 (232 enodes) 1554300026.447 * * [misc]simplify: Extracting #0: cost 1 inf + 0 1554300026.447 * * [misc]simplify: Extracting #1: cost 12 inf + 0 1554300026.447 * * [misc]simplify: Extracting #2: cost 56 inf + 0 1554300026.447 * * [misc]simplify: Extracting #3: cost 138 inf + 187 1554300026.448 * * [misc]simplify: Extracting #4: cost 182 inf + 2164 1554300026.450 * * [misc]simplify: Extracting #5: cost 136 inf + 8067 1554300026.454 * * [misc]simplify: Extracting #6: cost 69 inf + 23578 1554300026.468 * * [misc]simplify: Extracting #7: cost 13 inf + 40867 1554300026.479 * * [misc]simplify: Extracting #8: cost 0 inf + 45422 1554300026.487 * [exit]simplify: Simplified to (* (sqrt PI) (pow (/ -2 (/ -1 n)) (- 1/2 (* 1/2 k)))) 1554300026.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (/ -2 (/ -1 n)) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (pow PI (- (/ k 2)))))) 1554300026.488 * * * [misc]progress: adding candidates to table 1554300035.776 * [misc]progress: [Phase 3 of 3] Extracting. 1554300035.777 * * [misc]regime: Finding splitpoints for: (# # # # #) 1554300035.778 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1554300035.778 * * * * [misc]regimes: Trying to branch on n from (# # # # #) 1554300035.828 * * * * [misc]regimes: Trying to branch on k from (# # # # #) 1554300035.869 * * * [misc]regime: Found split indices: #